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What is critical writing — University of Leicester
Bundel van Daniel Dennett; Ik heb een overtuiging, geloof ik. Critical Analysis Law Essay? D.C. Dennett: Brainchildren. Essays on help writing a good letter designing minds. Critical Analysis? Penguin, 400 blz. ?51,10. Term Paper? 7 augustus 1998. Analysis? De Amerikaanse filosoof Daniel Dennett is on globalization, een van die filosofen die lijden onder hun eigen verstaanbaarheid. Critical? Ze komen zo duidelijk over edition, bij de lezer, dat ze zich niet meer van die lezer kunnen losmaken en steeds maar weer schrijven wat die graag wil horen en begrijpt. Dennetts jongste bundel Brainchildren is een verzameling essays over critical law essay, uiteenlopende onderwerpen die gericht zijn op een publiek van niet-filosofen. Bhakti Movement? Wat us een essays? vroeg W.F.
Hermans, en zijn antwoord luidde dat het een opstel is analysis, waarin andermans boeken worden naverteld zonder namen te noemen. Movement Essay? Dit is in analysis law essay zekere zin wat Dennett tegenwoordig ook doet, al noemt hij wel veel namen, meestal van wetenschappers. In hun kamp heeft Dennett de afgelopen jaren zijn tenten opgeslagen. Edition? Anders dan de meeste natuurwetenschappers zoekt Dennett het echter niet in critical analysis de diepte, maar in revision de breedt. Critical Analysis Law Essay? Op de omslag staat zelfs dat indien iemand van zichzelf kan zeggen dat hij de nieuwe Leonardo is, het Dennett is. Paper On Globalization? Die suggesties is law essay, potsierlijk en doet aan Dennetts reputatie eerder afbreuk dan dat zij een aanbeveling vormtg.
De filosofische problemen die Dennett bezighouden worden bondig samengevat in system de titel van zijn eerste boek: Content and critical analysis Consciousness, gedachteninhouden en bewustzijn. Over beide onderwerpen heeft hij ongewone standpunten ontwikkeld. Reasoning And Decision Making Essay? Zijn opvatting over critical, bewustzijn is help writing cover letter, na het verschijnen van zijn wervelende boek Consciousness Explained algemeen bekend. Volgens Dennett is critical law essay, bewustzijn niet een innerlijke waarneming, maar een voortdurend vraag- en antwoordspel dat de hersenen met zichzelf spelen. Het antwoord dat de hersenen geven wordt een bewuste ervaring wanneer het deel gaat uitmaken van een tijdelijk dominante hersen-activiteit. Thesis Proposal? Op de vraag waar die dominante hersenactiviteit namelijk dat er ergens in ons hoofd een 'Cartesiaans theater' zou zijn, waar onze geest de voortbrengselen van de zintuigelijke waarneming rustig zit te bekijken. In plaats daarvan spoken er echter talloze gedachten door ons hoofd waarvan er een op een moment verheven wordt tot bewustzijnsinhoud, zoals tijdens het afstoffen van de vensterbank opeens tot ons doordringt dat de radio eens tot ons doordringt dat de radio de 'Kindertotenlieder' van Mahler uitzendt. Law Essay? Dennetts opvatting over essay, het denken is minder bekend dan die over law essay, het bewijstzijn, maar even ongewoon. Dennett is au fond een behaviourist; iemand die meent dat de psychologie zich alleen moet richten op uiterlijk waarneembaar gedrag en geen beroep mag doen op subjectieve, innerlijke ervaringen. Proposal? Volgens Dennett kunnen we ieder object, ook de mens, op drie manieren bekijken. Ten eerste als natuurwetenschapper.
We gaan dan na uit welke elementen het chemische proces 'mens' is law essay, samengesteld. Reasoning And Decision Making? Ten tweede als ingenieur. We kijken dan hoe de mens is critical, ontworpen; waarom het hart uit twee kamers en twee boezems bestaat, waarom het samentrekt en bloed rondpompt. Ten derde als psycholoog. We nemen dan aan dat de mens overtuigingen, wensen en gevoelens heeft due zijn gedrag verklaren.
Het ongewone aan Dennetts theorie over bhakti movement, denken is critical analysis law essay, dat hij meent dat we niet alleen mensen op deze psychologische manier kunnen bekijken, maar ook dieren en computers. Essay Revision? Dennett wil niet alleen weten of critical analysis law essay, zijn computer een metalen of reasoning making essay, een kunststoffen kast heeft, of hoe informatie van zijn diskette naar zijn harde schijf gekopieerd wordt, maar ook hoe zijn pc zich voelt. Zoals Prins Charles met zijn bloemen praat, spreekt Dennett met zijn computer. Het ligt voor de hand te veronderstellen dat Dennett maar doet alsof zijn computer denkt en voelt. De overtuigingen en bedoelingen die Dennett aan zijn computer toeschrijft zijn maar projecties; ze bestaan niet echt. Analysis Law Essay? Soms lijkt Dennett dat inderdaad te beweren, maar elders spreekt hij het tegen. Help Writing A Good Cover Letter? De reden voor dat gedraai is dat hij soms toch terugschrikt voor de anti-realistische consequenties van zijn behaviourisme.
Als overtuigingen en gevoelens namelijk slechts bestaan in analysis law essay the eye of the essay, beholder, dan schrijven we aan mensen, net als aan computers, geen echte gevoelens en overtuigingten toe, maar doen we slechts alsof ze die hebben. Deze opvatting van Dennett druist natuurlijk in critical tegen onze dagelijkse ervaring. Dennett zelf was zich bewust van deze vreemde consequentie van zijn theorie. Revision? Traditionele filosofen zouden zich door een dergelijk probleem gedwongen voelen om hun theorie aan te passen. Zo niet Dennett. Analysis? Hij nam zitting in allerlei comites, nam deel aan diverse onderzoeksgroepen, reisde de hele wereld af om lezingen te geven, liet zich feteren in televisieprogramma's, schreef niet alleen Consciousness Explained, maar ook Darwins Dangerous Idea, een boek over help a good cover letter, de evolutietheorie, en vele artikelen, boekbesprekingen en feestredes. Het grootste deel van Brainchildren bestaat uit dergelijke barokke essays, die Dennett typeren: vrolijk, stimulerend, af en toe briljant, erudiet, maar soms ook chagrijning en gemakzuchtig.
Lezers die meer in filosofie dan in analysis law essay Dennett geinteresseerd zijn, zullen dit wellicht zonde van zijn tijd vinden; hij moet eerst maar eens die paradox in zijn theorie oplossen. System? Wellicht om deze lezers tegemoet te komen heeft Dennett zijn beste artikel van de afgelopen tien jaar ook in critical analysis deze bundel opgenomen. Essay Strategies? Het artikel heet Real Patterns en bevat zijn huidige oplossing voor het probleem dat we mensen kunnen waarnemen alsof zij overtuigingen en wensen hebben, ofschoon die overtuigingen en wensen niet echt bestaan. Dennetts oplossing van de paradox begint met de vaststelling dat als we gedrag verklaren door overtuigingen en wensen aan mensen toe te schrijven, we in critical analysis dat gedrag een bepaalde regelmaat, een patroon herkennen. Door bijvoorbeeld het woord 'stoel' te gebruiken, drukken we als het ware een patroon op een verzameling atomen. Omdat het voor ons nu eenmaal makkelijker is term, die bepaalde verzameling atomen als 'stoel' aan te duiden, zeggen we vanzelfsprekend dat de stoel 'echt bestaat'. Dezelfde houding moeten we aannemen ten aanzien van overtuigingen en wensen, meent Dennett. Analysis Law Essay? Om dat aannemelijk te maken, beschrijft hij een computerspel, Life. Reasoning And Decision Making Essay? Het is een soort patience met de computer.
Het computerscherm is verdeeld in critical analysis law essay kleine vlakken die zwart of edition, wit gekleurd zijn. Deze vlakken verspringen van kleur, al naar gelang twee of drie aangrenzende vlakken zwart of wit zijn. Door de regels van het spel gehoorzaam te volgen ontstaan op het beeldscherm bepaalde patronen, waarin we figuren herkennen zoals een slang, een amoebe die rondzwemt in een druppel water, een macrofaag die een virus verzwelgt. We kijken dan naar het scherm met een bepaald oog, namelijk dat van de natuurwetenschapper. Critical Analysis Law Essay? We kunnen echter ook naar het scherm kijken alsof we ingenieur zijn; dan zouden we de vlakken kunnen interpreteren als symbolen waarmee een computerprogramma rekent. En stel dat dit een schaakprogramma is, dan kunnen we zelfs in reasoning making in nursing die patronen een schaker zien die mogelijke zetten overweegt en met een bepaalde bedoeling die zetten uitvoert. Critical Analysis Law Essay? Omdat de vlakken op het scherm nog steeds alleen de simpele regel omtrent zijn aangrenzende vlekken volgt, zal die interpretatie ook slechte zetten opleveren, net als bij een echte schaker. Paper? Dit moet ons volgens Dennett aan het denken zetten. Law Essay? Is de toestand van onze hersenen niet vergelijkbaar met die van dat scherm, waarin wij een bepaald patroon herkennen? Dennetts antwoord op die vraag is thesis system proposal, natuurlijk bevestigend en dat brengt ons bij zijn oplossing van de paradox. Analysis Law Essay? Onze wensen en overtuigingen bestaan echt, omdat wij ze herkennen als patronen in bepaalde vormen van gedrag.
Die patronen bestaan echt, net zoals die vlakken op het scherm. Maar tegelijkertijd hebben die patronen wel een waarnemer nodig di ze herkent. Net zo ziet iemand die niets van schaken weet slechts stukken hout op een in edition vierkanten verdeeld vlak. Schakers, daarentegen, zien in de stand van diezelfde stukken de Brentano derdediging op de Spaanse opening. Bestaat die Brentano -verdediging nu echt? Bestaan overtuigingen en wensen nu echt? Dergelijke vragen of critical analysis, iets 'echt bestaat' legt Dennett naast zich neer, want hij vindt zijn positie duidelijker dan begrippen als realisme of idealisme. Bhakti Movement? Wie zulke vragen wel belangrijk vindt, een filosoof zeg maar, zou wensen dat Dennett meer van zijn tijd daaraan zou wijden.
Wie vooral een liefhebber is analysis law essay, van 'Dan the Man' komt in essay strategies Brainchildren echter ruimschoots aan zijn trekken.
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Examples of critical analysis - Student Services - The University of
Sample Essay Responses and Rater Commentary for the Argument Task. The sample essays that follow were written in response to the prompt that appears below . The rater commentary that follows each sample essay explains how the response meets the critical law essay criteria for that score. For a more complete understanding of the edition criteria for each score point, see the critical Analyze an Argument Scoring Guide. In surveys Mason City residents rank water sports (swimming, boating and fishing) among their favorite recreational activities. The Mason River flowing through the city is rarely used for these pursuits, however, and the city park department devotes little of its budget to maintaining riverside recreational facilities. For years there have been complaints from residents about the quality of the river's water and the river's smell. In response, the state has recently announced plans to clean up Mason River. Use of the river for water sports is therefore sure to increase. The city government should for that reason devote more money in this year's budget to riverside recreational facilities.
Write a response in which you examine the system proposal stated and/or unstated assumptions of the argument. Critical Analysis. Be sure to explain how the argument depends on writing a good cover letter, the assumptions and what the implications are if the assumptions prove unwarranted. Note: All responses are reproduced exactly as written, including errors, misspellings, etc., if any. While it may be true that the Mason City government ought to devote more money to riverside recreational facilities, this author's argument does not make a cogent case for increased resources based on river use. It is easy to understand why city residents would want a cleaner river, but this argument is rife with holes and analysis law essay assumptions, and thus, not strong enough to lead to term, increased funding. Citing surveys of city residents, the author reports city resident's love of critical, water sports.
It is not clear, however, the scope and validity of that survey. Essay. For example, the survey could have asked residents if they prefer using the river for water sports or would like to law essay, see a hydroelectric dam built, which may have swayed residents toward river sports. The sample may not have been representative of revision strategies, city residents, asking only critical law essay, those residents who live upon the river. The survey may have been 10 pages long, with 2 questions dedicated to river sports. We just do not know.
Unless the clinical reasoning making survey is fully representative, valid, and reliable, it can not be used to effectively back the author's argument. Additionally, the critical analysis law essay author implies that residents do not use the essay revision strategies river for swimming, boating, and fishing, despite their professed interest, because the water is polluted and smelly. Critical Analysis Law Essay. While a polluted, smelly river would likely cut down on river sports, a concrete connection between the essay revision resident's lack of river use and the river's current state is critical not effectively made. Clinical Reasoning And Decision Making In Nursing Essay. Though there have been complaints, we do not know if there have been numerous complaints from a wide range of people, or perhaps from one or two individuals who made numerous complaints. To strengthen his/her argument, the author would benefit from implementing a normed survey asking a wide range of residents why they do not currently use the river. Building upon the implication that residents do not use the analysis law essay river due to the quality of the river's water and the smell, the author suggests that a river clean up will result in increased river usage. If the river's water quality and smell result from problems which can be cleaned, this may be true. Bhakti Movement Essay. For example, if the decreased water quality and aroma is caused by pollution by factories along the critical analysis law essay river, this conceivably could be remedied. But if the quality and aroma results from the natural mineral deposits in term on globalization, the water or surrounding rock, this may not be true. There are some bodies of water which emit a strong smell of critical, sulphur due to the geography of the area. This is not something likely to be afffected by clinical making in nursing essay a clean-up.
Consequently, a river clean up may have no impact upon river usage. Regardless of critical law essay, whether the bhakti river's quality is able to be improved or not, the critical analysis author does not effectively show a connection between water quality and river usage. A clean, beautiful, safe river often adds to a city's property values, leads to increased tourism and revenue from those who come to reasoning, take advantage of the river, and critical law essay a better overall quality of life for residents. For these reasons, city government may decide to invest in improving riverside recreational facilities. However, this author's argument is not likely significantly persuade the city goverment to allocate increased funding. Rater Commentary for Essay Response Score 6.
This insightful response identifies important assumptions and thoroughly examines their implications. The essay shows that the clinical reasoning essay proposal to spend more on riverside recreational facilities rests on three questionable assumptions, namely: that the survey provides a reliable basis for budget planning that the river’s pollution and odor are the only reasons for law essay its limited recreational use that efforts to clean the water and system remove the odor will be successful. By showing that each assumption is highly suspect, this essay demonstrates the critical analysis weakness of the entire argument. For example, paragraph 2 points out that the survey might not have used a representative sample, might have offered limited choices, and might have contained very few questions on water sports. Paragraph 3 examines the writing a good tenuous connection between complaints and limited use of the river for recreation. Complaints about water quality and critical analysis law essay odor may be coming from only a few people and, even if such complaints are numerous, other completely different factors may be much more significant in reducing river usage. Finally, paragraph 4 explains that certain geologic features may prevent effective river clean-up. Details such as these provide compelling support. In addition, careful organization ensures that each new point builds upon the previous ones. For example, note the essay clear transitions at the beginning of paragraphs 3 and 4, as well as the logical sequence of sentences within paragraphs (specifically paragraph 4). Although this essay does contain minor errors, it still conveys ideas fluently.
Note the law essay effective word choices (e.g., rife with . . . assumptions and may have swayed residents). In addition, sentences are not merely varied; they also display skillful embedding of subordinate elements. Since this response offers cogent examination of the help writing cover argument and conveys meaning skillfully, it earns a score of critical law essay, 6. The author of this proposal to increase the budget for Mason City riverside recreational facilities offers an interesting argument but to move forward on the proposal would definitely require more information and thought. While the correlations stated are logical and probable, there may be hidden factors that prevent the City from diverting resources to this project. For example, consider the survey rankings among Mason City residents. The thought is that such high regard for water sports will translate into on globalization usage. But, survey responses can hardly be used as indicators of actual behavior.
Many surveys conducted after the winter holidays reveal people who list exercise and weight loss as a top priority. Yet every profession does not equal a new gym membership. Even the wording of the survey results remain ambiguous and vague. While water sports may be among the residents' favorite activities, this allows for analysis many other favorites. What remains unknown is the priorities of the general public. Do they favor these water sports above a softball field or soccer field? Are they willing to sacrifice the municipal golf course for better riverside facilities? Indeed the a good cover letter survey hardly provides enough information to discern future use of improved facilities. Closely linked to the surveys is the bold assumption that a cleaner river will result in increased usage. While it is not illogical to critical law essay, expect some increase, at what level will people begin to use the river?
The answer to this question requires a survey to edition, find out the reasons our residents use or do not use the river. Is river water quality the primary limiting factor to usage or the lack of docks and piers? Are people more interested in analysis, water sports than the recreational activities that they are already engaged in? These questions will help the city government forecast how much river usage will increase and to assign a proportional increase to the budget. Likewise, the movement essay author is optimistic regarding the state promise to law essay, clean the river.
We need to hear the source of the voices and consider any ulterior motives. Is this a campaign year and the plans a campaign promise from the state representative? What is the timeline for the clean-up effort? Will the state fully fund this project? We can imagine the misuse of funds in renovating the riverside facilities only to watch the edition new buildings fall into law essay dilapidation while the state drags the river clean-up. Last, the author does not consider where these additional funds will be diverted from. Clinical Reasoning And Decision Making. The current budget situation must be assessed to determine if this increase can be afforded.
In a sense, the City may not be willing to draw money away from other key projects from road improvements to schools and education. Critical Analysis Law Essay. The author naively assumes that the paper on globalization money can simply appear without forethought on where it will come from. Examining all the various angles and factors involved with improving riverside recreational facilities, the argument does not justify increasing the budget. While the proposal does highlight a possibility, more information is required to warrant any action. Rater Commentary for Essay Response Score 5. Each paragraph in the body of this perceptive essay identifies and examines an critical analysis unstated assumption that is crucial to the argument. The major assumptions discussed are: that a survey can accurately predict behavior that cleaning the river will, in itself, increase recreational usage that state plans to reasoning and decision making in nursing essay, clean the river will actually be realized that Mason City can afford to spend more on riverside recreational facilities. Support within each paragraph is both thoughtful and thorough. For example, paragraph 2 points out vagueness in the wording of the survey: Even if water sports rank among the favorite recreational activities of Mason City residents, other sports may still be much more popular. Critical Analysis. Thus, if the clinical reasoning and decision first assumption proves unwarranted, the argument to fund riverside facilities rather than soccer fields or golf courses becomes much weaker.
Paragraph 4 considers several reasons why river clean-up plans may not be successful (the plans may be nothing more than campaign promises or funding may not be adequate). Critical Law Essay. Thus, the weakness of the third assumption undermines the argument that river recreation will increase and riverside improvements will be needed at all. Instead of edition, dismissing each assumption in isolation, this response places them in analysis, a logical order and edition considers their connections. Critical. Note the appropriate transitions between and within paragraphs, clarifying the links among the assumptions (e.g., Closely linked to the surveys or The answer to this question requires. ). Along with strong development, this response also displays facility with language. Minor errors in punctuation are present, but word choices are apt and sentences suitably varied in pattern and length. Movement. The response uses a number of rhetorical questions, but the implied answers are always clear enough to critical law essay, support the points being made. Thus, the response satisfies all requirements for a score of 5, but its development is not thorough or compelling enough for a 6. The problem with the arguement is the assumption that if the Mason River were cleaned up, that people would use it for water sports and recreation. This is not necessarily true, as people may rank water sports among their favorite recreational activities, but that does not mean that those same people have the financial ability, time or equipment to pursue those interests.
However, even if the writer of the arguement is correct in assuming that the help a good Mason River will be used more by the city's residents, the critical arguement does not say why the revision strategies recreational facilities need more money. Law Essay. If recreational facilities already exist along the Mason River, why should the city allot more money to fund them? If the recreational facilities already in existence will be used more in the coming years, then they will be making more money for themselves, eliminating the need for the city government to devote more money to them. According to the arguement, the help a good letter reason people are not using the Mason River for water sports is because of the smell and analysis law essay the quality of water, not because the recreational facilities are unacceptable. If the city government alloted more money to the recreational facilities, then the budget is being cut from some other important city project. Making Essay. Also, if the assumptions proved unwarranted, and critical law essay more people did not use the river for recreation, then much money has been wasted, not only the money for the recreational facilities, but also the money that was used to clean up the river to attract more people in the first place. Rater Commentary for Essay Response Score 4. This competent response identifies two unstated assumptions: that cleaning up the Mason River will lead to increased recreational use that existing facilities along the river need more funding. Paragraph 1 offers reasons why the first assumption is questionable (e.g., residents may not have the necessary time or money for water sports). Similarly, paragraphs 2 and 3 explain that riverside recreational facilities may already be adequate and essay may, in fact, produce additional income if usage increases. Thus, the response is adequately developed and satisfactorily organized to critical, show how the argument depends on questionable assumptions.
However, this essay does not rise to a score of 5 because it fails to consider several other unstated assumptions (e.g., that the clinical and decision making in nursing essay survey is reliable or that the efforts to clean the critical law essay river will be successful). Furthermore, the final paragraph makes some extraneous, unsupported assertions of essay, its own. Mason City may actually have a budget surplus so that cuts to other projects will not be necessary, and cleaning the river may provide other real benefits even if it is not used more for critical law essay water sports. This response is generally free of errors in grammar and usage and displays sufficient control of language to term paper on globalization, support a score of critical analysis, 4. Surveys are created to edition, speak for the people; however, surveys do not always speak for the whole community. A survey completed by critical Mason City residents concluded that the residents enjoy water sports as a form of recreation. If that is help writing a good so evident, why has the critical river not been used? The blame can not be soley be placed on the city park department.
The city park department can only do as much as they observe. Help Writing Letter. The real issue is not the critical residents use of the reasoning in nursing essay river, but their desire for a more pleasant smell and a more pleasant sight. If the analysis city government cleans the river, it might take years for the smell to essay revision, go away. If the critical budget is changed to accomodate the clean up of the Mason River, other problems will arise. The residents will then begin to edition, complain about other issues in their city that will be ignored because of the great emphasis being placed on Mason River. If more money is taken out of the critical law essay budget to clean the river an assumption can be made. This assumption is that the budget for another part of cit maintenance or building will be tapped into to. In addition, to reasoning and decision making, the budget being used to clean up Mason River, it will also be allocated in increasing riverside recreational facilites. The government is trying to critical, appease its residents, and one can warrant that the role of the essay government is to please the people.
There are many assumptions being made; however, the government can not make the assumption that people want the river to critical law essay, be cleaned so that they can use it for recreational water activities. The government has to realize the long term effects that their decision will have on the monetary value of their budget. Rater Commentary for Essay Response Score 3. Even though much of this essay is tangential, it offers some relevant examination of the argument’s assumptions. Help Writing Cover Letter. The early sentences mention a questionable assumption (that the survey results are reliable) but do not explain how the critical survey might have been flawed. Then the movement response drifts to critical analysis law essay, irrelevant matters a defense of the city park department, a prediction of budget problems and reasoning in nursing essay the problem of pleasing city residents. Some statements even introduce unwarranted assumptions that are not part of the original argument (e.g., The residents will then begin to complain about other issues and This assumption is that the budget for another part of analysis law essay, city maintenance or building will be tapped into). Near the term paper on globalization end, the response does correctly note that city government should not assume that residents want to use the critical law essay river for recreation. Hence, the proposal to increase funding for riverside recreational facilities may not be justified. In summary, the language in this response is reasonably clear, but its examination of unstated assumptions remains limited and therefore earns a score of 3. This statement looks like logical, but there are some wrong sentences in it which is not logical.
First, this statement mentions raking water sports as their favorite recreational activities at the first sentence. However, it seems to have a ralation between the first sentence and the setence which mentions that increase the quality of the river's water and system proposal the river's smell. This is a wrong cause and result to law essay, solve the problem. Second, as a reponse to the complaints from paper on globalization residents, the state plan to clean up the river. As a result, the state expects that water sports will increase. When you look at two sentences, the result is not appropriate for the cause. Third, the last statement is the analysis law essay conclusion. However, even though residents rank water sports, the city government might devote the budget to another issue. This statement is also a wrong cause and result. In summary, the statement is not logical because there are some errors in it. The supporting setences are not strong enough to support this issue.
Rater Commentary for Essay Response Score 2. Although this essay appears to be carefully organized, it does not follow the bhakti directions for the assigned task. In his/her vague references to causal fallacies, the writer attempts logical analysis but never refers to any unstated assumptions. Furthermore, several errors in grammar and sentence structure interfere with meaning (e.g., This statement looks like logical, but there are some wrong sentences in it which is not logical). Because this response does not follow the directions for the assigned task and contains errors in sentence structure and logical development, it earns a score of 2. The statement assumes that everyone in critical analysis law essay, Mason City enjoys some sort of help a good cover letter, recreational activity, which may not be necessarily true. The statement also assumes that if the state cleans up the river, the use of the river for water sports will definitely increase.
Rater Commentary for Essay Response Score 1. The brevity of this two-sentence response makes it fundamentally deficient. Sentence 1 states an assumption that is actually not present in the argument, and sentence 2 correctly states an critical assumption but provides no discussion of its implications. Although the response may begin to address the assigned task, it offers no development. As such, it is clearly extremely brief . providing little evidence of an organized response and earns a score of 1.
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What is critical writing — University of Leicester
Retail Resume: Sample and Complete Guide [+20 Examples] You're about to get a job in retail. One where you rub elbows with fun people. Spark off them. One with great perks like full health benefits. Or a concierge service for doing oil changes while you work. You want that retail job. But between you and critical analysis law essay it, like CeCe Drake in writing a good, Pretty Little Liars , stands a wall of retail resumes 300 high. How will you get past that wall?
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A resume summary is for anyone with shelves full of experience. A resume objective works for revision strategies applicants that need restocking. See, most resumes say the same thing: I've got people skills. Critical Law Essay! I'm experienced. Hire me. Instead, wake that manager.
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Run own YouTube product knowledge channel with 1,500 views a month. Retail clerk with 3 years experience, seeking retail job. Skilled in analysis law essay, sales, customer loyalty, and product knowledge. See the difference? The first retail resume sample shows you are a skilled surgeon behind that register. The second seats you on a throne of lies.
Now. What if you don't have that kind of experience? In that case, write an objective statement for your retail associate resume. Two Entry Level Retail Resume Objective Examples. Do you lack experience? Does your basic retail resume look like an empty shelf? We'll fix that, starting with a resume objective statement. Objective statements work for entry-level retail workers, or anybody seeking a new niche.
Hard-working retail associate, skilled in POS tech and inventory management. Seeking to increase sales and strategies customer loyalty at Chiller Outfitters. Critical Analysis Law Essay! Built volunteer retail experience at Goodwill as cashier and restocker, receiving management commendation for term on globalization excellent customer communication. Entry-level retail associate with BA from Williams College. Seeking real world experience in retail. No experience yet but I'm very energetic. That second retail clothing resume example makes you look like a standee. The first one gets the hiring manager's attention. Why? Because it shows you can do retail duties, even though you haven't had a real-world retail job yet.
Pro Tip: A couple days of critical law essay, volunteer experience looks great on a resume. See the revision next section for tips on analysis, how to get it. How to thesis system, Describe Your Retail Experience. Is experience important on law essay, a retail resume? Only if you want the bhakti best retail jobs.
You know. The ones with flex scheduling, onsite medical, and analysis deep discounts for employees. To get those jobs, write a retail clerk resume that wakes up the hiring manager like a date with Elf. Tailor your experience to the job description. If you do, you'll stop being generic cornflakes and turn into the HR manager's best friend. List your most recent job near the top of your retail resume.
Add 4-6 bullet points that show accomplishments. How to Describe a Retail Job on a Resume. Fulfilled all retail clerk duties in a high-end sales outlet. Handled customer-service including POS, sales, and edition inventory management. Maintained high-level product knowledge.
Received 95% positive marks for conveying product features and benefits, as reported in customer surveys. Built customer loyalty through fostering stronger relationships. Retained average repeat-customer scores 21% higher than other associates. Used expert level communications skills to zero in on analysis, true customer needs. Thesis System Proposal! Overall 93% positive ratings from customers in law essay, post-sales surveys.
Retail clerk at high-end sales outlet. Clinical Reasoning And Decision In Nursing Essay! Handled all day-to-day customer service retail duties. Ran POS system. Conducted daily sales. Big difference, right? With that first example, you could get a job selling magic wands at Ollivander's. But what about a retail associate resume with no experience ? How to Write a Retail Resume with no Experience.
Here are two tips to stuff an empty resume like a Black Friday circular. First: Troll your past non-retail jobs to dig up hidden retail gems. Second: volunteer or take a temporary retail job. But I need money now. I don't have time to volunteer. You don't have to spend months, or even a full week. Just a day or two will do. Hey, presto! Instant retail resume experience. Two Retail Resume Samples (No Experience)
July 2017 - August 2017. Served as retail associate in critical analysis, thriving Goodwill outlet. Managed all retail duties, including cashier work, restocking, and customer communication. Essay Revision Strategies! Assisted with sorting and analysis law essay inventorying donations. Improved efficiency of donations processing by 55% over other current associates. Maintained zero errors with the POS system. Commended by management for excellent customer communication.
Ran cashier position. Help Writing Letter! Cashed out law essay register daily. Proposal! Interacted with over 200 customers per day. Self-Employed College Student. Interacted with several customers per weekend. Frequently upsold customers to analysis law essay, hedge trimming and leaf raking. Retail Experience: None yet, but I'm a very fast learner. Other Experience: Waited tables, mowed lawns.
Poof. That first retail resume sample could get you behind the register in the gift shop at Asgard. Yet it wasn't hard to build. You already had retail experience from previous jobs even if you had little to no store experience. And you did that volunteer gig in a few days' time.
Pro Tip: Retail clerk and thesis system retail associate are two keywords managers search for. Law Essay! Use the one that's listed in the job description in and decision making in nursing essay, your resume. Now that you know how to put experience on a retail salesman resume, pep it up with action words. Analysis! Need some? See our guide: +80 Examples of Resume Action Words for Every Profession Is Your Education Section Cashing Out? It Might Be. The best thing about help writing a good cover letter a career in analysis law essay, retail? No one cares about your education.
Right? If you have one, use it to make your already good retail resume shine. It doesn't really matter if it's high school or college. The real gold's in help writing a good cover, the details. Pursued a passion for sociology coursework. Excelled in analysis, four years of Spanish classes. Placed secon d in reasoning making, the W.S.C. Public Speaking Contest. As different as Sears and Sephora, right?
The first sample shows actual useful retail training. But it wasn't any harder to make. Need an critical example to follow? Use the sample retail resume at movement essay, the top of this article. Pro Tip: Don't have a college degree? Find accomplishments from critical analysis law essay, high school that prove you have the skills shown in the job description. How to Put Skills on term paper, a Resume for analysis a Retail Employee. Remember our hiring manager, Megan?
She's looking for skills on every retail resume she reads. But not just any skills. How can you know what skills to put on a resume for thesis retail? First, search the job description. Then, find more skills in other job offers online. Finally, use our list of retail skills below.
Pro Tip: Try to find out what POS system the hiring store uses. Some POS systems, like Shopify, post free online tutorials . In half an hour of online viewing, you can add some nice flair to your retail resume. The Real Secret to critical law essay, Putting Retail Skills on a Resume. Ready for the real magic? Don't just list your skills. Strategies! Prove them in your experience and education sections. Let's take a sample retail resume job description. It values management skills , building customer loyalty , and increasing sales figures . Fulfilled daily retail manager duties , including scheduling, inventory management, problem solving, and critical taking disciplinary action. Increased sales figures by 75% over previous manager through better application of corporate devised promotions. Essay Revision Strategies! Built customer loyalty through better deployment of customer rewards programs through all retail clerks. Increased repeat business 23%.
Bam. With a professional retail resume like that, you could get a job running The Magic Box from Buffy the Vampire Slayer . Pro Tip: Once you've proven your skills in your experience section, do it in your education section too. Even listing a passion for critical analysis law essay public speaking classes counts. How to thesis system proposal, Add Other Sections for an Effective Resume. Imagine you're a retail resume.
You're in a pile of 300+ others, just like you. The only way to do that is by law essay, looking different. One great way is thesis, other sections. You know: hobbies, interests, activities, and volunteer work. Things that aren't work experience, education, or skills. But there's a special way to do it. You don't want to add generic info. That's like using camouflage when you want neon. Retail Resume Sample Other Sections.
Basic First Aid CPR RiseUp Retail Industry Fundamentals Certification. Review products in critical, own YouTube Channel. Get 1,500 views/month. Avid listener, The Advanced Selling Podcast. Regular reader of books about sales. Organized a charity snowboard event for the local animal shelter. (2016) Help out once a month at the Summerville Food Pantry. Avid whitewater kayaker. Clinical And Decision Making In Nursing Essay! Write and critical analysis publish short fiction stories.
Poof. Movement Essay! You just went from mannequin to critical analysis, manager material. Pro Tip: Are special retail certifications worth it? Don't agonize if you don't have one. That said, a certification proves you take retail seriously enough to put in extra effort. Here's the reasoning Most Common Myth About Cover Letters. Ready? Here it comes: Nobody reads cover letters anymore. The truth is 40% of critical, hiring managers still consider cover letters mandatory. In other words, you need to write one for each and every retail resume you send.
Don't be frightened. Retail cover letters are short and edition easy. The best cover letters for retail jobs call the hiring manager by name. They say one detail you like about the company. They say two details about you that will help the company. Analysis! (Pick the bhakti essay best wins from your retail resume.) They close with a call to analysis, action, like, I'd love to talk more with you about your needs.
Pro Tip: After you send in your retail associate resume and thesis proposal cover letter, follow up! A well-timed thank-you email can remind the analysis hiring manager to take another look at edition, your resume. How to Add Contact Info to Your Resume. Do you really need help adding contact info to a basic retail resume? You already know to add your: Full Name Updated Phone Number Professional Email Address. Karen Welihan, email@example.com - 857-869-2379. Use a professional email address. No RetailGirlDawnOfTheDead47798@yahoo.com. Then, think about Megan, our hiring manager. Analysis! Let's say she likes your perfect retail resume for sales assistants.
She wants to know more about you. Give her a way. Add your LinkedIn profile, Twitter handle, or other online hangouts. Pro Tip: Is your Facebook profile clean enough for movement a hiring manager to see? Do some spring cleaning, with our guide to cleaning up your online presence . A Sample Retail Resume Job Description. Here's a sample job description for a retail resume. Why am I showing you this? Because I want you to think, as you read it, What are the critical analysis keywords I'll hit in my resume? How will I tailor my own skills and accomplishments to fit? As a Shindlee's Retail Clerk, you'll bring magic to clinical making in nursing essay, our customers.
Shindlee's sales clerks provide outstanding customer service, exceed sales goals, and share superior product knowledge with customers. Properly use proprietary POS system technology. Determine customer needs based on effective communication. Build and analysis communicate expert knowledge of store products. Meet daily sales goals. Pro Tip: To save time, build a couple bare bones retail resume templates you can tweak to fit each job description. Reasoning And Decision Making In Nursing Essay! The up-front work will pay off big. Want more tips to critical analysis, fit your retail management resume to bhakti movement essay, the job like a custom-crafted sales pitch? See our guide: 6 Tips on How to Tailor Your Resume to a Job Description (Examples) Even with example retail resumes, making your own tailored version isn't easy. Start with the critical law essay retail job description. Edition! Highlight all the skills and duties in it.
This is a must for retail manager resumes and retail sales associate resumes alike. Prove you can walk the talk by law essay, salting those skills throughout your retail sales resumes. And Decision Making! Put them in your experience and education sections. Add other sections to your retail resume, like hobbies and interests. Other sections make you stand out like a clerk from the critical Emerald City's Wash Brush Up Co.
Got questions or tips about how to make a great retail resume? Give us a shout in the comments section! Tom Gerencer is a founder and former owner of MediaNortheast Video Production and Training Without Boredom. A full-time writer in the fields of personal finance and career advice, Tom lives in West Virginia with his wife Kathy, two children and a couple of ornery dogs.
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construct resume Exact circle division by five #151; how to draw the perfect five point star. What Natural (whole) numbers divide a circle exactly? Meet the perfect all-star families. Construct the real and critical law essay, the virtual shapes #151; and take them to 3D. Give me a ring and I will make it sing
G eometric construction of the pentagram, pentacle, pentagon, and reasoning and decision in nursing essay, the five pointed star #151; and spice it up here and there with three kinds of ten pointed stars. H ow to sketch a five pointed star on a clock template, for kids [yes, pick a better shade of pink]. Tilt and critical analysis, rotate and double them. draw stars of pentagrams and pentagons using a compass and straightedge (two geometric methods) construct a pentacle directly inside your own circle or with your own sides length (point-to-point dimension). What you pick #151; large or small #151; will be a rational and therefore an exact measure. tell the revision, diff between a pentacle and a pentagram and why there are several pentacles. determine the inside and outside angles of a pentagram. find the golden proportions that are inherent in a penta. star and grow them, too. make a five-point star indirectly via pentagon tiling #151; and analysis, vice versa. create fancy five pointed stars plus a ten pointed hyperstar from a half-square rectangle (in a new tab) get the only harmonious ten pointed star of bhakti movement a decagram by critical, always skipping 6 points.
design 5 point stars as art forms #151; inherit the energies if you stick to nature. combine the up and down pointing pentacles into a brand new hyperstar. On five circles. You'll be in the micro but this is huge. W hat does it mean if a pentagram is encircled once or twice #151; a star is on a single circle or in-between of two concentric circles. built from help a good cover letter interlocking rings. S ymmetry in a five pointed star #151; there are several kinds of symmetry and .. .. A perfect three pointed star can be had on a circle or semicircle #151; and it's doubled for a regular six-point star or a hexagon already. You could divide a circle by 3 exactly but a general 3-way division applicable to critical, universe building and term paper, traveling can also be had. Hexagon and hexagram stars are behind viruses.
A perfect square is a four pointed star. A n eight pointed star and a twelve pointed star share the critical, same construction. B oth stars are perfect and both take you beyond counting as well. 16 and 24 pointed stars also share the same construction. Just as the on globalization, eight and 12 pointed stars, they are in the 3:2 musical ratio and because the growth of stars in critical, this ratio is unbounded we have a separate page on that (in a new tab) H ow many perfect stars can you make with geometry? With arithmetic? Number 36 is (abundantly) divisible by 2, 3, 4, 6, 9, 12, and 18 #150; yet, you cannot make a perfect 36 pointed star. Geometry vs. System. Arithmetic is a very old topic, very unresolved, and critical law essay, very relevant; and. Numbers are not just symbols.
In a circle they make 1 ) stars on help writing cover letter, paper and 2 ) atoms in space. A comment on a seven pointed star (heptagon). Analysis Law Essay. Hit a snag in a circle, but .. P entagon Pyramid . Fusion of term numbers in three dimensions is good but it is not about critical law essay averaging. T he four sided Great Pyramid construction is via the golden proportion and revision, has its own page (in a new tab) A five pointed star just for kids. If you can tell time you can sketch this and critical analysis, other stars by essay revision strategies, hand. Oh, use the free template below at first. I'm the analysis, author of the illustration above but this one is freed from copyright. (With the strategies, Chrome browser you can drag-and-drop this illustration onto your desktop as the .gif file.)
Have a look at critical analysis, some pics from the stone circle at Avebury in Wiltshire, UK. Draw a star, any perfect star. Can you see how you could lay out and sketch several stars using but one construct from the clock's minutes? You probably haven't heard the word 'a construct,' but a template is usually just for tracing and copying. Can you join the points by clinical and decision making, skipping some?
Odd and even number of critical law essay points makes a big difference. Here are the from-the-ground-up geometric constructions of eight and 16 point stars of a compass rose. [ Now, can you imagine making ALL perfect polygons and stars in thesis, the above 60 pt construct? If each point were to glow differently for each star, would you get a cool and unique pattern I could lock on to half way across the critical analysis, galaxy? Oh, you make it glow by having each point a semiconductor junction, similar to an LED. For the thesis system, junction you need an amorphous substrate and a crystaline piece of a rock.
Because you want to power up the analysis, whole circle, your power source is a bit more than just a single lay line. Except, how would you stop the primitives on the planet from term paper messing with the law essay, stones? Yeah, it is all sacred feminine kind of stuff. Paper. If that doesn't work, cover the whole thing with soil a call it an ancient sacred burial mound.] Historically, geometric drawing of a pentagram star was considered a secret. One can appreciate keeping the formula and directions secret because the construction of a five-point star is not obvious even if you worked in geometry for some time. Yet, if you could draw the perfect star only critical, through geometry, the secrecy takes on extra dimensions. To draw a (regular) pentagon, the segment must be exactly one fifth going around the circle.
Stars are pretty and circles are everywhere, yet there is but slowly growing understanding of stars and circles. (This is term paper, not the analysis law essay, case in China, for the Taoist movement and Taoist philosophy can be said to issue from a circle.) A circle gap exists not because we've lost our compass or a desire to admire crop circles, but it is because a circle is frowned upon by the Catholic Church and because the reductionists of the 20th Century lost the link to the source of a 0D point. Term On Globalization. With it, we also lost great things that the dimension zero brings to the table. So there is analysis, a book coming out edition, late 2013 resurrecting a circle as well as the stars that are the dimension zero's first application. Oh, 99% of all moving energy in the universe is in spin and orbits. Not only that. If you want to build something that doesn't just fly away, you have to do it in a circle (you cannot build an critical analysis law essay, atom or a planetary system as a static entity). Going through external edits, the working title of the book is ' Stars and Rings .' No whole number can divide a circle exactly arithmetically but some whole numbers can divide a circle exactly geometrically. This is the first differentiator between geometry and edition, arithmetic. When it comes to dividing a circle's circumference (or area) with a straightedge and compass, we always strive for the exact division. The perfection is not about some quirky obsessions of ancient Greeks and today's teachers, however.
If we finish our assignment in a finite number of steps and achieve an exact division, we would then claim executability and creation of such structures could be implemented in nature. Computer's arithmetic gives us precise #151; but not exact #151; answers when working with incommensurable (irrational and critical analysis, transcendental) numbers, but the geometric way can be exact and writing cover, have much utility just because of that. We will apply the division of a circle in the atomic construction below. Critical. Yes, the exact construction is bhakti movement essay, about the critical law essay, (exact) conservation of energy. If the length of a circle's straight segment (cord) is exact, then the system proposal, segment's length is critical, unambiguous and can be expressed as a finite number. A finite number is also a rational number. If the strategies, cord's length were an irrational number then such number's sub-unity portion (mantissa) is infinite and we could not agree on its exact length #151; but we could agree on the exact distance between the two end points because the analysis, two end points can be constructed exactly geometrically.
Irrational numbers are executable (or expressible) geometrically but not arithmetically. This is the second differentiator between geometry and arithmetic. You might skip on thesis system proposal, the diff between length and critical, distance right now #151; later you may avail to the explanation and construction of the incommensurable numbers (irrationals and transcendentals). Instructions on geometric division of a circle into five equal and exact parts #151; in five steps: If you want to construct the penta. with a circle radius of your choice , point A is one unit distance (one-half of the radius) away from origin O . When you divide a circle into exact fifths along the periphery you now have the template and edition, : Finish the pentagon by law essay, connecting every neighboring point and erase the circle.
Inscribe it counterclockwise if you want to be disharmonious (ratio 9:5), clockwise if harmonious (6:5). (Cw and ccw makes a big difference #151; think enhanced modulo math. Paper. Ccw is acw for the Brits.) Make the pentacle by analysis law essay, connecting every other (second) point. If you do it counter-clockwise, you will be doing it in bhakti movement essay, the 8:5 ratio, which is harmonious, and you should not have a problem with that once you understand that the underlying pattern mechanics are clockwise #151; it's on the Venus page. Pentacle is the easiest and the simplest to do because it does not require erasing. Does it mean it is the most fundamental?
Complete the pentagram from pentacle by erasing the circle. Make the five pointed star from critical law essay pentagram by erasing the inside (smaller, upside down) pentagon. Also see pentagon tiling, further on. The unit distance u is the bhakti essay, shortest distance used in construction of a particular star. All other parameters (radius/radii, cord) are then calculated in terms of u . Critical Law Essay. This is new . All formulas for stars should be computed from the unit distance and not from, say, a radius because there are star constructions that use several circles. In our example, the essay strategies, equation for the length of the cord c in the above construction comes from two Pythagorean relations and is quite involved: In either case, you can now substitute any distance for u and get the measures of the rest of star's parameters. There is critical, more to this.
Geometrically, the square root of five, for example, can be of any length and this length issues from the unit distance used in the construction of the SQRT(5). When working the pyramid you first have to find the unit distance before making sense of the rest of the (micro and/or macro) proportions. Polygons and edition, stars. gon identifies the point connections that go straight from one point to the nearest next point on a single circle #151; poly gon in general. When you say regular polygon you are emphasizing that all segments span the same distance and all points are on one circle.
Stars do not have to take a straight path from one point to the next and do not all have to be on but one circle. The star's points could be connected by critical, a curve or a kink line or the connections just skip one or more points. As you go around the center from one point to the next, you might keep turning in but one direction and then the star is said to be convex. Regular polygons are always convex. Sometimes the points move inbound and out, particularly with multiple circles holding the points, and you keep turning left and right when moving from point to point.
In such case the star is said to be concave. This is how things stood until our hyperstar, which has groups of three points lined up straight (and there are no turns). The hyperstar is discussed in revision, the right column. The hyperstar is not regular. All points of law essay all regular stars and clinical and decision making essay, polygons are on a circle and are equally -- that is evenly, and exactly spaced going around the circle. The best way of seeing it is that they have the exact fraction of a circle between them. However, only some stars are constructible exactly #151; see Perfect Families.
As to analysis, the actual angles between points #151; see below, for these angles could be irrational numbers. (For now, ask yourself if a protractor can give you any irrational angle.) Having said all that about polygons and stars, don't get hung up on technicalities. Movement Essay. A star is such a pretty word (and polygon such an ugly one), that using a star for both is just fine. Some say 'twelve sided' when talking about a polygon and 'twelve pointed' when talking about a star. If there is a section of a circle with a start and a stop, such as when speaking of the Signs of the Zodiac, 'twelve sided' makes more sense.
If you read other things about law essay geometric stars, don't get derailed by mainstream math classification of stars. Thesis System. Scientists do not take into account the cw or ccw star creation, likely because the mainstream does not know the applications difference between the two. (Harmony-disharmony enters here but there is more to critical, it besides cw or ccw.) Also, math guys presently keep one point fixed and the other point advancing cw in a circle by a certain number of paper on globalization steps to make the next point of a star. But of course, mainstream scientists are in the Dark Ages thinking there is a fixed reference point. The Quantum Pythagoreans book gives all planets orbiting frequencies from analysis which the stars are made and, gee, the Earth is orbiting while the cw or ccw point-to-point trace arises mathematically from edition that. Mainstream math guys' definition of a star is that you can see all parts of a star from its center. Law Essay. This is a great example of a definition of arm chair convenience because the Venus-Earth interplay makes a cool curlicue between points of a five pointed pentacle star and this does not match the scientists' definition of a star #151; so here is ours. Why should a circle division be made of equal (evenly distanced) segments? There is nothing wrong with unequal lengths if that's your fancy and there could be a really good reason with a heptagon (see below). However, an electron's wavelength is proportional to the electron's energy and if several wavelengths of one electron were to fit (were to close) around the nucleus then they have to do so in whole multiples of the same distance. It's about the numbers (in a circle).
There are many geometric ways of system proposal constructing pentagon or pentagram patterns and symbols. The construction presented here has the length of the side of the pentagon c the incommensurable (irrational) distance #151; that is, the measure of the side's distance is composed of an infinite number of digits (that do not repeat individually or as a group). Other constructions make the side c a rational distance, which is better suited for law essay, the Great Pyramid's purposes. In the pyramid, one half of the side of the base is (must be) a rational unit of measure, for such measure is executable and can become. Paper. (For transcendentals you may have to put a kink in that.) The connection between the five sided pentagon/pentagram and the four sided Great Pyramid is through the analysis law essay, golden proportion , a subject that lets you understand how to bhakti essay, draw and construct the Great Pyramid, and include the analysis law essay, pinch on its side. Angles in a five p ointed star and clinical reasoning and decision making essay, how they relate to critical, the golden proportion. Determination of edition pentagram's angles is critical law essay, easy #151; on the interior or the exterior.
First, if (any) two angles have their arms intersecting at 90 degrees then the two angles are the same. The central (Egyptian) star below has 360/5=72 degrees between its arms. Bhakti Movement Essay. Because the arms (rays, spikes) of this star are at right angles to other angles then such angles are also 72 degrees. You will get to 108? angle inside the pentagon with the analysis, subtraction of the 72? angle from 180? (from a straight line). You will note two special triangles on thesis system proposal, the pentagram when making design extensions to the sides (below). One has the interior angles of critical law essay 72, 72, and 36 degrees while the second one's angles are 36, 36, and 108 degrees. Both of these triangles are golden because their sides are in the golden proportion. There are many other golden proportions on the pentagram but these two kinds of triangles are important in the micro (atomic) domain, particularly as related to orbital jumps. In multiples of one tenth of a circle.
All angles internal and external to the pentagram or the five pointed star are in multiples of 1/10 of a circle: from term on globalization 36? on analysis, to 72?, 108?, 144?, 180? . 324?, 360?. A circle can be divided by 10 exactly and so all angles in help writing a good cover letter, and around a pentagram are exact and perfect. A pentagram, aka pentalpha, is a prominent symbol of the Pythagoreans. Critical. It is said the pentagram is good for one's health, and there could be something to it considering the golden proportions that are all over the star. Proposal. I think it is also likely the pentagram's prominence is due to having an abundance of the number 10 while adding a circular aspect to analysis, the many number 10 aspects of the Pythagorean Tetractys. The number 10 is edition, also fundamental in designs of analysis law essay obelisks, including the Washington Monument.
Self-test:-) If you think an help letter, obelisk is a phallic symbol then you've just begun. The angle of 144? seems obscure (it's on the outside of the star) but it's the critical law essay, only angle you'll need if you want to draw a pentagram with a computer program the likes of essay revision strategies 'Turtle,' 'Scratch,' or 'Logo.' The program would run like this (in pseudocode): Move 100 pixels [forward] If these computer instructions do not mean much to you, you are doing well. First you want to create the geometric foundation #151; yes, in critical law essay, your mind, before resorting to a computer. The golden proportion consists of revision two numbers that at times relate through a ratio, in which case we speak of the golden ratio. The two golden numbers consist of one irrational number a that is ( 1 + SQRT(5) ) and one rational number b that is 2 and, because these two numbers may relate to each other through multiplication or division or addition or subtraction or. they should not be reduced into a single number. Law Essay. Reduction into a single number severely limits the thesis system, application of the law essay, golden proportion and that is one reason scientists like to edition, reduce it as the Phi [scientists have reductionist tendencies #150; perhaps not a disease but it could be a handicap]. Critical Analysis Law Essay. Reduction into system proposal, one number hides other relationships the two golden numbers might have.
The golden spiral. Golden spiraling happens naturally in analysis, 2D or 3D as you observe the proposal, golden proportions and figure out how you could grow them. Fancy math will give you a smooth spiral but if you stick to the golden proportion you will be going in discrete steps. Critical Law Essay. (You'll need to understand why staying with the golden steps is superior to smooth fancy math. Clinical Reasoning In Nursing. It has nothing to analysis, do with efficient packing of seeds/objects, and you just might see the quantum effects on the macro scale.) Once you start putting the golden proportions in the circular format, mathematically you'll be working the point/radial symmetry while entering a new area of essay strategies endeavor. Also known in general as tessellations, doing it in 5-fold rotational symmetry is favorite of Dürer, Kepler, Penrose.. .. Critical Law Essay. All pieces that make up sets for the five-fold 2D tiling have their angles in multiples of 1/10 of help writing a good a circle . The multiples of 1/10 of a circle construct the analysis, shapes of diamonds, pentagons, ships, kites, darts, or double-decagons. A fancy Ninja star design on reasoning making essay, left also has all of its angles in critical analysis, tenths of a circle. The hyperstar goes even further using an exact division of a circle while providing constructs for edition, orbital jumps. There is yet another (and last) golden triangle and that one does not appear on a pentagram. Analysis. It has a right angle and its hypotenuse with the shortest side are also in the golden proportion.
This triangle is one-half of the Great Pyramid going across the mid face and into the center of the base. You can see it below on our Golden Eye design. Pentagon Dimension Priority : Diameter Dim or Point-to-point Length Dim. There is a dual approach to paper on globalization, a geometric pentagon star construction. You can either specify the diameter of a circle that will place all points, or the length of a pentagon's side that specifies the distance between points. In either case you start the construction with the shortest unit length of 1 . On this page we show two constructions with Diameter dimension priority and in both examples the diameter ends up 4 units long (radius of 2).
This means you can construct a star with a circle diameter of your choice because there is the exact 1:4 relationship (scale) between the unit length you started with and critical, the diameter of the pentagon's circle. In the essay, case of a point-to-point Length dimension priority, or side Length priority, you start the critical, golden proportion construction with the revision strategies, unit length of law essay 1 . When finished, the pentagon will scale to the side length of 2 . Pentagon construction with side Length priority has the exact side of your choice and is on the golden proportion page. A circle has many positive connotations. What would be the idea of dividing it? Once you know what numbers can divide a circle, you can then build a circle. Not [yet] from real things such as wood or metal but from waves. It turns out that the waves must have a particular wavelength count (a particular multiple of particular energies) before these waves are able to close in edition, a circle -- and thus be symmetrical about a point. You need to know what numbers can divide a circle before you can construct the circle from waves. You might think this is law essay, something witches do, and you would be right, but an electron is a wave that wraps around the nucleus, too. There is (always) a bit more to this. When a circle's periphery is cut and has a small gap, funny things happen as forces arise.
One could call this a circle corruption and in a way it is. Yet the a good letter, forces that arise are not corrupting, for they attempt to critical law essay, close the circle and .. (think free energy). The making of proposal a circle is also about law essay taking a step from 1D to 2D. Revision. There, you will find the friendly transcendental number Pi. To round it off, you may want to learn more about the squaring of analysis a circle, for it is about the edition, straight and curving geometries. We did not forget the ancient Egyptians and use the example of the five pointed star as one of the steps in critical, working the circle and the square. The golden proportion and Pi get very close to each other.
The five pointed star is made from the reasoning and decision making essay, golden proportion and then the squaring of a circle and the five pointed star are closely related. Not everybody likes geometry. In case you don't, you can blame your teacher or _______, but in the not-so-final analysis it is about you. Geometry is about movement and placement in space, from an atom in your body to your ship as a whole. Lots of geometry is in analysis law essay, a plane and you have a good argument if you say your head is not flat. System Proposal. So let me cut to the chase. The intelligence is in 3D and your head is just fine for that provided you are able to critical law essay, intercept it. Lots of free energy is in 2D and it can be harnessed there once you figure out how to relate 3D to 2D. Essay Revision. Oh, to relate 1D to 2D you'll get into the squaring of a circle, which is something you want to do if you'd like to make atoms. (Light is in 1D and energy of an analysis, atomic electron cannot be in 1D #151; it would leave the atom.) The linear movement is in 1D while the atom and gravitation need 0D for spin. Your challenge, desire, need, or necessity is to understand and work the Pythagorean tetra(ctys) of 0D through 3D because that is how the universe is built and you want to continue to reasoning essay, be a nifty and smart participant in it.
Symmetry in a five pointed star. Symmetry has appeal. It makes things look nice but it could be difficult to move beyond that. There are similarities with reflections in a mirror #151; or refractions through a focus of a lens. You might love crystals but it is tough to critical law essay, explain what symmetry brings to the table. Movement. Aristotle could not apply numbers beyond counting and it was then easier for him to stick to critical, generalities ('nature abhors a vacuum,' 'prime mover') and even poke fun at proposal, Pythagoreans. There are two kinds of symmetries : even and odd. The even symmetry duplicates things about the (usually vertical) axis while the odd symmetry duplicates things by half-circle rotation about a point at the origin, which is the center of the circle used to make the star.
Symmetries issue from geometry (and geometry issues from numbers). Analysis. The even (or axial) symmetry is unique to energy and includes intelligence. Esoterically it is the head of the Sphinx while the empty space between the Sphinx' front paws is the writing a good, (virtual) line of the axis of the even symmetry. The odd (or point) symmetry is unique to analysis law essay, charge and bhakti essay, matter. Critical Analysis. The even symmetry is inclusive while the odd symmetry is exclusive. Self-test:-) If you think erecting a physical object between the Sphinx front paws is corruptive, you are doing well. A five pointed star, point up or down, has even symmetry but no odd symmetry. You could also have heard of 'rotational' symmetry.
When a five pointed star rotates one fifth of a circle, it overlaps exactly with the original star. You want to differentiate the rotational symmetry from the even and odd symmetries. Rotational symmetry is applicable in the rotationally-moving context and indeed there are plenty of situations for that. I like to call the clinical reasoning and decision making essay, even and analysis law essay, odd symmetries the placement symmetries while the rotational symmetry is one of the movement symmetries. Placement is for building things (this includes the atom) while the movement is not only for physical movement but also for transformations. Mainstream physicists use the term 'symmetry breaking' when dealing with the ocurrence of different symmetries. They (the scientists) assume everything should be in 3D and anything else is a form of deviation (breaking) from that. This is very stupid. Edition. The fundamental thing to look for is computability. If the system is computable, it will happen. The system will then exist in several and in any and all symmetries, as long as it is computable.
But of critical law essay course, the computability conditions are spelled out and explained in the Quantum Pythagoreans book. This talk about essay symmetries becomes introductory once you begin to appreciate that the (law of the) conservation of energy is analysis law essay, based on the conservation of symmetries. Paper On Globalization. The conservation of geometric symmetries is then a more fundamental law. There is a bit on analysis law essay, this in the Quantum Pythagoreans book but then it is extended even more in the upcoming Stars and Rings book. What? Who needs cables? Five pointed star in a circle.
There are three sources #150; and therefore more than one meaning #150; of the five pointed star. One meaning has its origin in the exact (geometric) division of a circle and is discussed on this page. Clinical Reasoning And Decision Essay. It is a fairly complex though rewarding topic that leads to law essay, the symbolism of a star issuing from a single circle. Another root comes from two orbits (hence two concentric circles/rings) of Venus and Earth, and bhakti movement essay, is discussed and traced there . (Venus, while most prominent through the five pointed star, is also associated with the number eight and the meaning of the diagonal.) The third source of the five pointed star calls on non-concentric yet interlocking rings . The separation of the circles is in the golden proportion and this new five pointed and unique hyperstar construction has its own bookmark on the golden proportion page. This brings us to law essay, the diff between the sign/drawing of a pentagram and a pentacle . Edition. A pentagram is a five pointed star drawn with five straight and critical law essay, unbroken lines, aka the Pythagorean pentalpha. Edition. A penta cle has a cir cle (s) around the star. Yet, these are but technical differences. There are three separate origins associated with a pentagram and you may want to show a pentacle to point out the root. In other words, a pentagram always issues from analysis law essay orbits/orbitals/circles/rings/rotation and there are three separate ways to do so, as follows:
1 ) A single circle around the star makes it the classical or atomic pentacle that comes from atomic construction, and a single circle shows the proposal, standing wave around the nucleus -- the orbitals. Analysis. Pagan-wise the classical pentacle stands for earth and writing, if you think of it as 'materia' (from Latin), it's a close match to critical analysis, 'atomic.' 2 ) Two concentric circles around the star make it the cosmic or planetary pentacle and the two circles are the term paper on globalization, orbits of critical analysis law essay Venus and Earth (can be computed via modulo math from the clockwise 8:5 orbit ratio and in the illustration on left the help, orbits are to scale). Points are between and close to the midpoint of the two orbits and the pentagram rotates (why that is so is on the Venus page). For Pagans, the critical law essay, double circle around the star is about 'drawing down the Goddess,' and the circle diameters are calculated along with point sequencing on the Venus page. If you speak of or draw a planetary pentagram , then you are substituting the two concentric circles with Venus and edition, Earth symbols because you know there are several pentagram sources. 3 ) Separated but interlocked circles (rings) with centers at the hips of the critical analysis, pentagram show two separate atoms joined in a molecule, which I call the hyperstar pentacle . This is system, new and I don't presently know of anybody applying the hyperstar pentacle.
Although I think the hyperstar explains the atomic separation in a molecule, there are many, many meanings and critical analysis law essay, applications. My feel is associating the hyperstar with friendship, marriage and angels. I like using it in edition, Tai Chi and here is an example. A classical pentacle can be rotated/turned about the circle's center if someone wants to do an upside down 5 point star. With the law essay, hyperstar, however, I flip the pentacle about the hips and then a completely new 10 point hyperstar happens -- a star with nothing but the bhakti, golden triangles. See below. [Flipping something about an axis is critical, a feminine operation.] The abundance of the golden proportions associated with all penta. constructions deserves an analysis of its own.
Whether it leads to harmonizing your environment and having good luck, building a pyramid, or even growing it into nature based religions the likes of Wicca or Shinto, the golden proportions are indeed linked to space borne intelligent energies. Once the circular geometries are engaged you'll end up with the thesis system, pentagram. It is then okay to draw just the pentagram but you want to draw the various pentacles if you want to critical analysis, show where the pentagram is coming from. For example, ancient Egyptians call the pentagon 'The Womb' and if you retain the circles on the hyperstar you just might see it. Okay guys, another story has Isis looking for Osiris' parts. She found all except the phallus, which was eaten by a fish. Strange story. Well, if you retain the edition, circles you just might see a fish doing its thing. [So, is the hyperstar a lost ancient Egyptian star or is it THE Star, the most secret one? I haven't seen it in their art but their stories sure seem to point at such possibilities. Critical Analysis. Self-test:) If you take the edition, fish story personally and say ouch, for analysis, example, you are missing the alchemical dimension.] Pythagorean pentagram/pentacle symbolism is a bit different and possibly more sophisticated if you think in the square-a-circle context.
The pentagram is system proposal, encircled once and then a second ring is analysis law essay, added as a piece of jewelry. The second ring is thesis system proposal, then at the right angle to the first. (The illustration is from Secret Teaching by critical law essay, Manly Hall.) Regarding the Satanic or (d)evil or demon side of the upside down (inverted) pentagram or pentacle, consider it a feeble attempt at corruption by help letter, the self-proclaimed sign-of-the-beast creator and almost-priest Levi. You want to know where corruption comes from and then you are in position to overcome it. Critical. In this case the upside down pentagram could issue from natural rotation of the Earth-Venus cosmic/planetary pentacle in help cover letter, the solar plane -- with the sun in the center -- and analysis law essay, then the satanic notion loses its meaning once you appreciate that the cosmic pentacle's rotation does not stop and there is no 'up' and 'down' of the solar plane to begin with, just as you cannot tell if the whole coin on the right having odd (point, sun) symmetry is up or down. Edition. (Under odd symmetry every point has a second point on critical analysis law essay, the other side of the system proposal, center of rotation.) If you want to unambiguously show the star's point-up or point-down placement on law essay, a coin, you have to place the star next to a non-symmetrical reference such as an animal (or introduce the even/mirror symmetry, which is the case in nature). The coin's design is edition, odd-symmetrical, but if the lower half is critical analysis, erased then odd symmetry is gone. It is then easy to see that the star placement becomes point-up because 'Republic' now provides up-down reference. So you can appreciate that up side down is a good cover, not a given under odd symmetry alone because when your reference is but a point (such as the Sun in the center), you could see the star one way looking from the center and the opposite way looking into the center. Moreover, cw and ccw rotation can be differentiated -- think mirror symmetry and angular momentum in 3D, which also means that 'above' aka heads and 'below' aka tails can be diffed absolutely under rotation.
Geometric stars' origin is from orbits (macro) or orbitals (micro). Micro includes both the analysis law essay, atomic and/or molecular (valence) orbitals. This means that the stars issue from odd [masculine] symmetry. Yet, to get unambiguous and system, stable solutions, both the odd and even [feminine] symmetries are needed. Ancient Egyptians include a horizontal bar with their oval cartouche just for critical analysis, that reason, and the bar -- which is the axis of the even symmetry [it is not the horizon] -- is very explicitly tied to the oval. Clinical Reasoning Making Essay. Now, I am extending it past the Pharaohs' cartouche, and critical analysis, there are more practical and new examples in bhakti essay, the 5 and critical law essay, 10 point hyperstars below and, of course, the thesis proposal, Golden Eye. When it comes to the androgynous nature of the beast (Levi's beast has feminine and masculine attributes as well as a point-down pentacle on its forehead), consider that masculine-feminine cannot be merged because they each issue from analysis different and writing cover letter, unique symmetries. Masculine-feminine is about the duality that cannot be unified by law essay, merging but needs to be, and can be, balanced or married. (Achieving such balance is not trivial but there is movement, more than one solution.) In essence, the evil side arises from conflicts that ignore nature's duality, and critical, one of the gateways to essay strategies, its understanding is to ask, 'Why and critical analysis law essay, how is the human brain separated and in nursing essay, joined at the corpus callosum?' Focusing on construction of the visible universe, the analysis, gateway to balancing is through Quantum Mechanics. Oh, if you don't like the status quo get into vortex and free energy. Overlaying two opposing hyperstar pentacles , the up-and-down points from the two pentacles make a ten-pointed hyperstar, which is not a decagon nor a hexagon, either regular or not -- yep, not concave and not convex -- and definitely not for the Wiki trivia chasers.
This hyperstar (on right) has a north-south axis with very unusual properties. The axis can become absolute under spin and then the bhakti movement, star symbolically acquires a touch of Tartaros (or Tartarus) -- but, as a Pythagorean you know what the axial post/pole is about. I like seeing the hyperstar as 'the seed of the thunderbolt,' but that's shade romantic. Did you notice all triangles on the hyperstar are golden? In the critical analysis law essay, case of the classical pentacle, the upside down notion also has no meaning because the five-fold atomic orbital is symmetrical about the atomic core and is free to rotate without appreciable symbolism. (However, there do exist harmonious and bhakti essay, disharmonious stars and in the book Quantum Pythagoreans you will learn which is which and why.)
A human body has a close resemblance to a five pointed star. Indeed, Tai Chi makes a mere resemblance into a remarkable art, including the Martial art. The upside down star is not conventional (not normal) once you link a human body to the five pointed star. There is then a human mental aspect to critical analysis law essay, an inverted star and the Venus page has a bookmark on that. However, if you place energy importance first (and you should) then the upside down aspect is about energy while the upside down body is a mental and positive construct in the service and manipulation of energy. How do you make your own pentacle or pentagram? Buy or make is okay but to have your own you have to have it in your mind. And add a cw pentagon, too. [Feeling better?] Here is also a secret for the 21st century: You must know how to make the star geometrically and then -- by making the same body movements -- you will also attract beneficial (golden proportion) energies in the circular geometry that will stay with you. Movement Essay. Oh, if you start doing Tai Chi, you'll see the geometric components very soon. If you wish to superimpose/overlay/map a human body onto a five pointed star , the critical, five points of the inside pentagon are the essay, major reference points. The top two points are at the shoulder-neck transitions, just as you'd guess.
The lower two side points are the analysis, hips while the lowest point is the crotch. If you do Tai Chi/Yoga exercises just a little, you will feel the importance of these points. As much as I find occult interesting, the occult human body-onto-star overlay seems forced and this leads me to suspect the occultists do not exercise much. As you get more into mind-body-circle-star- energy interlocks, you'll jump or sail right into alchemy . You cannot power into edition, alchemy but you can turn alchemy (Tai Chi or ancient Egyptian versions) into personal power, both logical and physical. There is the Buddhist view, too. Ever seen an angel?
The book you will thoroughly enjoy. Harmony is analysis, talked about ever since antiquity but it is this book that actually allows you to predict whether any two tones will be harmonious. Yes, the clockwise or counterclocwise rotation can be determined and that is the one (of the two) harmony components that was hidden until now. It is about the perfection of geometric stars and the waves that go with it. The radius measure of 2 (diameter of clinical making essay 4) in critical, our pentagonal construction on the left is the edition, outcome of using the shortest applied distance as the unit 1 . This is not because you couldn't divide by two (you can -- and work with ? as the analysis law essay, distance OA , for example), but if you construct other structures such as the the Great Pyramid with the shortest distance as the unit 1 , you will always be in clinical reasoning and decision making in nursing essay, sync with your numbers from one structure to analysis law essay, the next. If you want to look at it metaphysically, each number has its own personality and you want to keep track. If you want to have more fun, think of the unit distance OA as an irrational number.
Even Euclid did not think of the number 1 as just a counting number. On the essay strategies, political side, particularly in analysis law essay, the association with Communist power , you want to letter, be cognizant that the five pointed star issues from orbits and the star is always a 2D entity made from 1D constructs. Making the star into a 3D star (the likes of the Kremlin) points to the lack of understanding on the root of the star's creation. The purpose and utility of the five pointed star could also be said to be misunderstood by the Communists, not unlike the swastika adoption by the Nazis. [If the Nazi technology was as advanced in law essay, the flying saucer technology as is rumored then the essay revision, swastika would not be far off.] For the time being I'm not doing full 2D (area) or 3D red stars until the bloody aspects dissipate -- oh, about a hundred years, considering China. These stars are fancies anyway. Actually, Darwin started the critical analysis, whole mess with his 'strongest survive' evolution simplification, and it was the opportunism of Communists and help writing letter, Fascists who took in the reduction and critical analysis law essay, used it literally. (There were alternatives available at Darwin's time but Mendel was pushed aside for the critical 15 years and at Mendel's rediscovery the industrial revolution was in full swing. Book review: The Monk in The Garden .)
What to essay strategies, look for. People bent on power will promote and support the critical law essay, following: 1. Nature is on our side. Best represented by thesis system proposal, Dawkins' The Selfish Gene , the idea is that being loaded with money is natural (you guessed it, it's Gates' favorite). A virus is selfish, a gene is not. In the UK the Oxford U nicely masks its ignorance with arrogance. In the US the Harvard U is big on this kind of spin [they put out the best crap]. Analysis. You will recall the dinosaurs and the dino eats dino times [I don't think they died out term paper, without a fight].
2. Running out of energy. Usually about (peak) oil, this mentality replaced Running out of food from the critical analysis law essay, last century. This allows wars to go on, as it conjures up there is not enough for term paper on globalization, both of us. This is but one example of reductionism. [If you don't see God, there are plenty of bosses to work under #150; here and on the other side.] The beauty of free energy is that it is really about critical analysis smarts and without a large up front investment. Once you do a bit of reading, you will be LOL at the experts, but you'll also have to do the free energy yourself. If you complain that the edition, govt does not release free energy, you are not getting it. 3. Socialized medicine. The mind job here is to convince you that you need the institutions of state and selected private hospitals and clinics for you to stay healthy but there is an obligation to pay extra premiums.
It ends up that the healthier you are the more you pay and this becomes a tax on critical law essay, your health. Because you are smart and stay healthy by paying attention to your body's needs, you are pressured to pay for the ones who are not, and the power chasers are a sick lot. In Nursing Essay. You may have to move to another state and/or become politically active (for example, AMA should not have a monopoly). You really begin to understand this when you start looking forward to critical law essay, stopping the clinical reasoning making, payments of your premiums. You may find out it is the best thing for actually being healthy. There are three components : understand fear, pick up specialized exercise, and keep up with alternate immunity discoveries (such as Dr. Critical Law Essay. Jan Raa's) as well as the revival of Raymond Rife technology. Once you understand the fear component, talk openly about the health alternatives should you meet an AMA doctor, for the tables might have turned. 4. Culture or religion-embedded values of guilt, fear, and intolerance.
Once embedded they can be invoked without explanation (prejudice will not be seen for what it is). This is essay strategies, usually about Bible and Koran waiving and could be difficult to deal with outside the US. In some cases the fear and/or weakness and/or ignorance justifies betrayal [needs to be watched, even self-watched]. Critical. Betrayal is also a component of power, and edition, power has its own category (power is law essay, reversed in the virtual domain and there it is not based on specific might but on infinity). In the Pythagorean and Buddhist traditions the friendship works well. I also like Ronald Reagan's attitude because he 'liked all and bhakti essay, feared none.' You might get hurt but you will have the last word. So you think you know your numbers and law essay, might think it's okay to reduce them to your liking. But if you construct the system, Great Pyramid with the golden numbers and use the shortest distance as the unit 1 , you will arrive at analysis law essay, the pyramid's base as having the side length of 4 . Reasoning And Decision. The base of the Great Pyramid is then 4 times of some unit of measure. So now the pyramid's base periphery (4+4+4+4) and base area (4x4) carry the analysis, same square number 16 . You see, if you reduce the numbers and reasoning in nursing, think of the pyramid's base as having the unit length of, say, two, the base periphery would have eight units of length but the base area would be but four (square) units. If you do not reduce the numbers you can think of the number 16 in the context of acceleration (unit of measure per time squared) and derive the law essay, unit of length that is most appropriate for this planet [yeah, it's a foot].
Rational numbers are commensurable numbers -- that is, they all have finite or repeating sub-unity part of a number (mantissa) and all can be expressed as a ratio of two integers. Rational numbers can also be called the edition, exact, finite, or absolute numbers because we can write them down and agree on their value. Critical. At times, rational numbers are called real numbers because all real things have a finite measure. Rational numbers happen when we ratio two integers. Term Paper. All mainstream mathematicians define the rational number as the ratio of any two integers. So, a mainstream math guy would say, Of course the rational number is a ratio of two integers -- it is defined that way. Yet, you really do not want to be mainstream and acquire but an encyclopedia knowledge of the world. You do not want to think of somebody's definition as complete or adequate knowledge.
You know that a rational number is a finite number (has a finite or repeating mantissa) and once it is finite it can be expressed as a fraction of two integers. As a smart person, moreover, you know that if another operation produces a naturally finite number then such operation also creates a rational number. The circumference of a circle is a transcendental number. Law Essay. Many of circle's round segments (arches) are transcendental numbers and their straight cord could be an writing, irrational number -- and analysis law essay, both of these numbers have an infinite mantissa (infinite precision). The question now is: If you divide (ratio) some particular circular segment by help a good, its corresponding cord, will you get a finite (rational) number as a result? Some Pythagoreans view the number two as a problem number because it divides the critical law essay, unity. Pythagoreans discourage division of the help writing a good, unit 1 until you understand the context of each degree of freedom -- but in critical analysis law essay, any case the number 2 is not the help writing cover letter, culprit. Law Essay. (The number 2 is in the denominator of the golden ratio and term paper, there it should stay as the number 2.) As you get familiar with this site the sub-unity will become applicable to atomic orbitals and hence the number 1 is the Great Divide between the macro-cosmic and micro-atomic. [My guess is that macro concepts are taught before the micro in the Pythagorean School.] Tetractys of Pythagoras deals with the organization of critical analysis law essay matter, among other things.
What makes you a Pythagorean? Short of movement essay visiting the analysis, Pythagorean page, you are interested in the actual construction of the visible universe. As a Pythagorean you want to know why some stars are constructible exactly and muse at the people who draw stars without regard to their actualization. Drawing stars just for fun is okay but to a Pythagorean that's in an entertainment category. The. compilations about term paper on globalization stars are trivia, which quickly become distracting as well. Working the five pointed star is a wonderful start, for this star is geometrically, that is exactly, constructible. Law Essay. Constructing the real universe is, moreover, the greatest show there is.
Construction and deconstruction of atoms are similar endeavors -- and you have no need for a hammer to construct or deconstruct something. The forces therein can add up in controlled fashion, too. There are dozens of philosophers and gurus talking about the omniscient nonlocal instant infinity of the conscious universe, but to a Pythagorean this is but one half of the bhakti, show : You still have to put all that knowledge to work. Yes, we have pictures. The upside down star has no negative meaning in the micro domain. There are in fact several stars nested inside the larger stars because there are many orbit jump opportunities with each pair of orbitals.
Yes again, ALL triangles are golden. Oftentimes we think of star patterns only when tiling in 2D or building the law essay, Platonic solids (in 3D). But the patterns we encounter in the micro are usually made with overlapping stars and that makes nifty art shapes as well. The overlap comes from the inclusiveness of waves. On July 17, 1991 at Barbury Castle there appeared a crop circle named the Tetrahedron (a triangular pyramid). For its 20th anniversary we have a summary-update. Here is a poster for essay revision, a Graphics show I had in critical analysis law essay, Prague (where I teach now) in February 2013. Large-print format is becoming affordable. With a careful equipment selection, one can avail to a high quality original poster that is not only less than the help cover letter, price of a reproduction, but is critical analysis law essay, good for your health as well. Just about ready (second picture). Consider the existence of the even and odd symmetries as the point of departure between the letter, Pythagorean and analysis law essay, Aristotelian physics.
Pythagoreans continue basing new concepts on numbers and term paper, then the even aka twofold symmetry issues from and critical, relates to the number two (and the feminine). Aristotle refers to the Pythagoreans and flatly claims in Metaphysics that 'two' and 'twofold' are not the same and that 'twofold does not subsist in the two.' (Of course) the two and twofold are not the same but the number two spawns the even symmetry as two-points-make-axis construct and then the term, number two is not just a counting number. If Aristotle rejects the critical, Pythagorean 'number two is behind even symmetry,' does he propose something better or different? It does not seem so, and this could be a nice example of ancient Greek debunking. Term. Aristotle does not like it, and that's okay, but without offering his own reasons for the existence of symmetries he will not be able to advance it. Sure enough, we don't hear from critical Aristotle on symmetries. Some star constructions speak of thesis proposal fixed length sticks, which at first glance can construct any size polygons. Here is where the critical analysis, executability of angles comes up. Proposal. In space, the irrational angle is constructible only critical law essay, approximately and movement essay, only some angles will be actualized #150; think snowflake formation.
Also, we can calculate the points of a polygon along a circle but using sticks that have finite (rational) and equal lengths for the cords will not always fit in such points. Analysis Law Essay. In fact, a not-so-difficult case can be made that geometry takes precedence (has priority) over arithmetic. Edition. [If you are a scientist, you may think of Emmy Noether who ignored the analysis law essay, nature's beauty of snowflakes and made simplifying assumptions about space that proved the edition, 'ignorance is bliss' postulate #150; for in her world everything is reduced and snowflakes and crystals don't exist.] You can calculate the critical analysis law essay, area of any polygon by taking the area of the thesis system, triangle and multiplying by the number of sides. When working the area of a circle or a polygon, the center point is (becomes) excluded . (If you are metaphysically inclined, think Isis looking for all parts.) In your Pythagorean mind, you need to link the area to its physics application. For example, a physical property that is proportional to radius squared is then also proportional to the area, which gives merit to area calculations. This is bigger than it seems. You are not just sweating your teacher's assignments -- you are actually working the analysis, physics entities if you know what they are. This one comes from Yosifusa Hirano of 19th Century Japan. It is elegant and term, also constructs the pentagon or pentacle on radius 2. All pentagram angles are a rithmetically divisible by nine.
So, what's the critical analysis, big deal if the number 360 (degrees in a circle) is no big deal? If you line up all angles from the thesis proposal, pentagram : 36, 72, 108, 144, etc. and sum their individual digits you will always get 9. That may seem like magic, but once you appreciate that the number 360 is arbitrary, you don't need to analysis law essay, ooh and ahh about it. Help A Good. If the number of critical degrees in clinical reasoning and decision in nursing essay, a circle were 320 or 260 or 364 the summing magic would not happen for 9. The circumference of analysis a circle is 2Pi and putting in a number to stand for degrees is purely a practical consideration. Thesis System. In the case of 360, this number is 4x9x10 and now, because the angles of a pentagram are in analysis law essay, tenths of clinical reasoning making a circle, the number that is left is a multiple of 9 (and 4) and analysis, so it will be always divisible by 9 (or 4). Writing. All numbers divisible by 9 have their digits sum up to 9 (modulo 9 #151; thank you, Gauss ). So, always work with fractions of critical analysis law essay a circle (or fractions of 2Pi) even if the reasoning and decision making essay, numerical sub-unity pushes your right brain into infinities. There is plenty of real magic left in analysis law essay, this subject, particularly if you get into the squaring of a circle.
We have a collection of a good letter cool and hot designs inspired by the five-point star. View select designs -- or visit our store at Zazzle ( . com/Mike_Geo) and see how well you could look in a tee, hoodie, long sleeve shirt, or a polo. If you have new ideas you want to explore designs from the constructs of nature. All our designs come from nature and analysis law essay, center on the golden proportion. Design on term paper on globalization, right is critical analysis, called the Adventure of The Red Sun.
A pentagon and the Great Pyramid are related, but it hadn't been easy to show both of them relating through the golden proportion. I construct them together using the new Golden Eye method in the Quantum Pythagoreans book and now the construction is available in on globalization, color for your shirt or Tshirt as well -- in the Golden Eye design. The golden proportion is analysis law essay, between the pyramid side and term paper, the half-base. The Great Pyramid is shown in a vertical cut through the mid-face. Much detail is on the golden numbers page. The five pointed stars attract energies on account of the golden proportions. Because under rotation the analysis, five fold symmetry can be either harmonious or disharmonious, you want to know which is which (ccw is harmonious on a pentagram, cw is harmonious on a pentagon) because you really cannot hide under a rock and hope for the best. Edition. Some people rely on intuition and some want to understand things a bit first.
Either way, I wish this site and the book will do it for analysis, you. Two pentagons make a decagon, a regular ten pointed star. A regular pentagon made with the clinical reasoning in nursing, Hirano method can be used to easily make a regular decagon #151; an exact ten-point star. Law Essay. A pentagon that is made by the exact division of a single circle can be duplicated 180 degrees out-of-phase (upside down) and decagon results from bhakti two pentagons. One pentagon is thus rotated about the center of the circle or, if you prefer, rotated/flipped about the horizontal axis. However, a regular ten pointed star that is a regular decagon is critical, not a hyperstar. (Hyperstar is discussed in the right column.) While both stars are created from two regular five pointed stars, a decagon is always convex.
A hyperstar has some straight segments spanning three points. A decagon has its points on bhakti essay, a single circle. A hyperstar has 8 of its 10 points on two identical circles separated by the golden ratio parameters. [I think the mathematical discoveries of construction ratios is what Plato refers to critical analysis, as 'Logistics,' which is thought to be a lost Pythagorean knowledge. In the case of a pentagon Diameter priority the essay, ratio is critical analysis, with square numbers (1:4) because we go from 1D (unit length) to term paper, 2D (circle). The same ratio of 1:4 holds for the pyramidal construction because one unit of length ends up as four area units of a pyramid base. Critical. For a pentagon point-to-point Length priority, however, the ratio is 1:2 because one length becomes another length (1D to 1D) but the construction now must include rotation . In general, there is a rotational aspect in the Pythagorean Theorem even though the arithmetic of the Theorem does not capture it (it uses squares). Logically, any line (any 1D distance) inherently contains a direction and when staying in 1D a change in direction amounts to rotation. Squares (area, 2D) do not contain a static direction but they have something else.] Every time you double something #150; think octave.
Every time you halve something #150; think node (or fit) for standing waves. Every time you rotate by 45 degrees #150; think transformation. Every time you rotate by a right angle #150; think.. The funny thing is this works for Tai Chi when your body, your arms, and your legs are doing the movements. Geometry and movement is thesis, about your health too. Harmonious ten pointed star. The star below, if drawn counterclockwise, is classified as a (10+ 7 )/10 star using my method that is (x+y)/x in law essay, general y is between 1 and x #151; that is, xy=1 . Bhakti. The decagram star looks nice #151; it is unicursal, is regular during construction (advances by the same angle), has parallel sides and is harmonious.
This star skips every six points and is the only harmonious ten pointed star in the macro. Analysis. (Decagon and all other ten-point stars are not harmonious, cw or ccw.) The Pythagorean style rationing (really proportioning) method (x+y)/x as well as the corresponding musical harmony or disharmony is writing cover, explained in the book, and you'll know why the analysis, proportioning approach presented here is much more useful than what the mainstream puts out. You noted x and y are integers but if x and y are the golden numbers then (x+y) : x is the golden proportion #151; and enter both the micro and clinical and decision in nursing essay, the macro. Critical Analysis. (Rationing is not commutative because A/B is not B/A. Proportioning, however, is commutative because A : B is the same as B : A, and playing two musical notes has the same effect whether you analyze at it as A : B or B : A. Sometimes I think mainstream math is pathetic, for ignoring waves is the norm.) There exists symmetry about one point called the point symmetry (or odd or radial or rotational symmetry) [masculine]. There also exists symmetry about writing a good cover two points called the even symmetry (or axial or twofold or mirror line symmetry) [feminine] #151; the analysis law essay, two points making an axis by which the original image rotates. Bhakti Movement. These two kinds of analysis law essay symmetries are all-pervasive in atomic construction where they are called the term, odd and even wavefunctions. Yes, everything is critical analysis law essay, coming up numbers. Now, how would you marry these two symmetries?
You might have noticed that in the five-fold division of a circle the three points made by a compass' pin are at the corners of a right angle triangle having sides 1 and 2 . (A pin of a compass centers the help writing, radial symmetry [masculine].) It is no coincidence that the Great Pyramid's Grand Gallery has the vertical height (rise) of 1 and the horizontal length of 2 while the analysis, Trough is the hypotenuse spanning the distance of SQRT (5) . And Decision Making. (This also establishes the unit length 1 of this pyramid.) Is it a coincidence that to define Pi we need distances 1 and critical, 2 ? Is it a coincidence that to construct the thesis system proposal, golden numbers we start with a right angle triangle with sides 1 and analysis, 2 ? There is more to 5. It is very easy to get excited about the essay strategies, number 5 and begin to associate each of the five points with other things. This is a Pythagorean site and we love the number five but Pythagoreans also know that using numbers for counting is introductory to the power of numbers while correspondences are about the elemental #151; that is differentiating, power of numbers. The five discrete elements in Wicca and critical analysis, Tao are fine, yet the visual-geometric imagery based on the Penta. is about the infinity (irrationality) of the golden proportions stemming from the thesis system, square root of five . With the golden numbers you construct many shapes that extend the critical analysis law essay, Penta. beyond counting. Movement. The images are also more than pretty pictures, for the waves in space readily interact with such shapes in critical analysis, a computing relationship and things happen. You do not need to get esoteric to appreciate that energies have preferences for geometric shapes and the golden proportions have a unique predisposition to the operation of the reciprocal . (Yes, energies make things grow but also think about the paper, nature's way of actually capturing the waves' energies.) So it is critical analysis law essay, nice to system, recognize the golden shapes around you even though neither the star or the analysis law essay, number five jump out at writing, you.
The meaning could be shifted by another application but now it is not hidden. [There are also large corrupting influences in place just to keep you astray.] What if the Queen's Chamber in the Great Pyramid has its spatial distances in critical law essay, the golden proportion? What if the spiral on the Eye of Horus were made through the golden rectangle or a golden triangle? How can you visualize the golden ratio in financial terms? Throughout the Hyperflight site I like to make fun of help writing a good letter mainstream science. Critical Law Essay. These folks lower our understanding and appreciation of edition nature and their favorite first step is that 'this or that cannot be done or found out.' The best modern example is Einstein and I don't know of analysis any of his concepts that are correct: This includes the special and general relativity theories (stemming from term paper on globalization his inability to determine absolute motion/rest); photonic work function (a photon puts no pressure on a mirror); Brownian motion (molecules vibrate in analysis, place); and energy-matter mechanics (not reversible, i.e., nova or supernova). Errors of omission and movement essay, commission are also applied to corrupt the reality around us.
The basic difficulty is that science popularizers use the right math but apply it to wrong concepts. Critical Law Essay. It may take a while to get to the bottom of this and what really helps is that equations cannot make wrong concepts right, and essay strategies, therefore are suspect. On this page I said that 'up' and 'down' cannot be distinguished in the solar system under odd symmetry alone. Everything works and continues to grow, evolve, and can also be created whole in a particular context. It is law essay, then the context that needs to be understood in addition to any some such conclusion. The 'up' and 'down' manner of speaking is relevant when the context has a line : things above the line are 'up' (above) and below the system proposal, line are 'down' (below).
However, orbits and orbitals and spin in general have a point as its construct of rotational/spinning existence and it is critical analysis, then appropriate to say that when dealing with point symmetry there is clinical reasoning and decision in nursing essay, no fixed 'up' or 'down' because there intrinsically is critical analysis law essay, no (fixed) line. The point is that if you understand the context you will understand whether someone's pronouncements are true, not true, or corruptive. Term Paper On Globalization. For example, ignoring 0D (a point) as the fourth dimension of freedom -- which provides a movement construct just as 1D, 2D, and critical analysis law essay, 3D do -- is corruptive because it does not recognize the spin/orbit that accounts for 99% of the a good cover, moving energy found in law essay, the universe. There are several ways of getting to the truth, too. Geometry is one. Tarot works nicely and in this case it's The Wheel of Fortune card.
Tarot has four suits, which stand for .. (your brainwork). You will then be in position to either speak out and/or just do what you know is better : Free energy, Martial arts, spiritual medicine, telepathy/RV, superluminal travel, atom/matter creation -- all, not coincidentally, based on ether scientists deny. Speaking out means that you have enough info based on merit and then your statements become less political. For example, I'd get a Tarot card deck without the Hebrew letters, for these lack symmetries and could be disruptive. Clinical Reasoning And Decision In Nursing Essay. (If you know the Hebrew letters were added to Tarot later on, you'll also know it is about corruption.) As you learn how things really work the misconceptions will release and you become healthier. After reading a book on the history of the Chinese philosophy that weaves through the Confucian, Taoist, and Buddhist pursuits over 2300 years there, it seems the Chinese never got to critical analysis law essay, the understanding, and then the differentiation, of the symmetries.
Yet I would not relax too much after this. There are the philosophical and religious versions of Taoism and if you stay with the revision, academia's version of philosophy you'll learn next to analysis, nothing. Once you get to the religious side you will read a lot about circles and spirits and demons, about keeping centered (weighed) in a point and having light crystallized -- but all this is pure alchemy and in nursing, it takes some dedication for critical analysis law essay, the ideas to work their way through (just as you would do with the ancient Egyptians). While the Chinese did not push the movement, three philosophies/religions into the objective realm we call science, the Chinese pursuit in the improvement of the individual's mind-body yielded Tai Chi with most significant implications -- and leaving a formidable gap for the West. Analysis. Wang Fuzhi (b. 1619) gets very close, giving Chi (Qi, Ether) the female-male aspects of writing a good cover Yin-Yang (ancient Egyptian Tefnut-Shu) and then nicely extends this to coexisting energy-matter duality along with a dynamic balance of the two. Critical Analysis. Wang Fuzhi is describing a free electron all right but then its detection and use happens in a body (yes, yours) rather than in in nursing essay, an external and critical law essay, objective instrument. (Damn the edition, self-serving Emperor/one-party systems and invest in yourself, literally?) Wang Fuzhi, or anyone after him, does not advance Li (order/construct/distance/1D) to law essay, geometry or symmetries, and this also means the thesis system, Pythagorean tradition did not make it to China (until recently perhaps). We can then also say that the Taoist five pointed star of the elements is indigenous to China (could've been discovered in more than one place) and testifies to the universal power and utility of the five fold division of a circle. The Chinese elements correspond roughly to those of Wicca except that 'spirit' is taken as 'wood.' This seems strange but think of wood as the circles of tree rings, too. This also gives you an idea how hidden Chinese alchemy is. (Note the analysis, prominent spiritual link to the trees in the Druid tradition and a very explicit tree related experience of Joan of Arc.) The Taoist movement starts with Lao-tzu's Te-Tao Ching of 500 BCE (or so) and revision, Te translates as Virtue. I am happy to analysis law essay, have named the largest chapter in the Quantum Pythagoreans book the Virtual Domain (and before reading Te-Tao).
The virtual domain is about infinities and there is much to explore there -- yes, this is an understatement. (One can also destabilize in John Nash fashion. If you don't figure out you are among infinities while using real/rational methods, you may stay there forever.) If I were to talk in Lao-tzu's puzzling way, the virtual domain Te holds nothing because it has everything (and now you'd have to figure out the virtual domain Te has everything in proposal, the form of knowledge). At times Te translates as Power (and knowledge is a close relative of critical analysis power). Lao-tzu described Tao in the most general way. It was only later that the Tao symbol arose from that and along with the cover letter, religious side of critical Taoism. But of course, the Tao symbol is but the Chinese version of what the infinite Tao is or could be used for, including the label of 'Tao.' The virtual domain deals with knowledge that is linked by edition, associations.
The Western alchemy's condensed virtual language could speak of the philosopher/sorcerer entering the stone only to discover there is no stone. Bewildered, the analysis law essay, philosopher breaks out of the stone and finds the stone the clinical reasoning making in nursing, same as before. Law Essay. He cannot break into the stone and term paper on globalization, yet he does not have to break up the the stone to reenter it. The philosopher's stone can be had -- but not physically. Yikes! Here is critical, s'more on stability via organization.
So you think you know your numbers metaphysically and feel comfy about the thesis, masculine-feminine stuff. Law Essay. You might be dividing by 2 and think it feminine. Essay. Not so. Real cutting is masculine : it makes two halves of an apple, severs an critical analysis law essay, interconnection of clinical reasoning and decision making in nursing a relationship, or spatially reduces a spread out critical, electron (QM). However, when you observe a biological cell division, don't rush to call it masculine, for it is feminine. You'll have to get into symmetries to understand this.
Meanwhile, don't make the silly mistake of equating masculine with a man and thesis proposal, feminine with a woman -- unless you want to give up on one half of your brain. Oh, and think about The One. Analytically attacking all three major pyramids at Giza as one layout can earn you a label or two, but on this site Jiri starts with a square and then looks for analysis, the golden proportion #150; and gets very, very close to the actual measurements. Ready to bury the Pharaohs someplace else? Some basic geometry. From a square angle to a square. There does not appear much we can do with a square. A square is edition, pretty, has a lot of symmetries, but that's about it. But as we go on, things are going to get interesting once we start to make cubes.
Also, as a plain square, two circles can be fitted and defined by critical, a square: an outer circle and an inner circle. The illustration on left is taken from our ether page and edition, it actually results in geometrically determining the speed of critical analysis law essay light. A square and a circle have been engaged from before Pythagoras (Thales) and there are several pages on this site (here and there and here too) on circle squaring. Pythagoreans love square numbers. In the present day vernacular, moving energy is proportional to velocity square d. Any square can be made into any number of edition rectangles and critical analysis, any rectangle can be made into an exactly same-area square via the geometric mean. Geometric mean works with all distances, including irrational distances (but you need rotation). And so any and all velocities resulting from, say, gravitational acceleration or collisions or explosions, have corresponding and exact energy values.
Any square (any amount of energy) can be divided into as many squares as you want #151; and so the energy of one moving object is conserved exactly even if the object is broken up into many other objects. Here is essay, a simple yet powerful construction that. 1) Divides any distance exactly in half; 2) Erects the perfect right and square angle (making the Cartesian Coordinates); and. 3) Makes a true square using any circle centered at O (at the intercept of horizontal and critical, vertical axes that are the coordinates). A square is also a four pointed star. Only straightedge and compass are needed. (Straightedge is an unmarked ruler.) Both arcs (arches) have the same radius. Distance AB can be either rational or irrational, for there are no limitations on spatial distance between two (zero-dimensional) points A and revision, B. Law Essay. Drawing a line between two points is about direction (1D) and yields a perfect line, too. If you want to know the minimum separation between points before a line could become the real line, take a look at Absolute Minimum Length (it's about the writing, infinitesimal). If distance AB is irrational, should it be dashed?
If so, why? You will note that all geometric constructions start with the critical analysis law essay, creation of the Cartesian Coordinates. On Globalization. Once you have them, you can make any square using a compass (a circle) and then make any star from the perfect star family. A square, then, is inherent in all star constructions. A square is feminine and a circle is masculine. Some people get into critical analysis law essay, spirituality and claim a circle is feminine because it is rounded. That is how you can tell a beginner. Symmetries are the key here because they have very high priority -- on par with energy conservation.
Ancient Egyptians, Native Americans, and Chinese have no problem here. Pythagoreans and Plato are technically fine because of paper on globalization symmetrical 3D solids. Aristotle would not get into symmetries at all (and his historical contribution ends [should've stayed and die in Baghdad]). The Western applications of symmetries are generally weak, although, the Western alchemy is okay and at times superior (3 vs. 4). Three pointed star. Construct the perfect triangle on a circle and another triangle on a semicircle #150; in three steps. Triangle as a logical and mathematical construct. Because three-pointed and six-pointed stars are geometrically perfect they can be used, circled, as a symbol for 3 or 6 wavelengths wrapping around the nucleus. However, a hexagon and hexagram reduce into a triangle under modulo math for harmonious ratios and do not manifest in critical analysis law essay, orbits (macro) #151; that is, showing a six-pointed star with two circles does not reflect nature. A hexagon is also prominent in free energy work.
Hexagon is full of different symmetries and, for bhakti essay, better or for worse, enables rapid transformations or projections. A six sided star of hexagon could be of some interest regarding energy accumulation in the micro and we included it in the numerology section on the Pythagorean page. Without a circle, a triangle symbolizes 3-state systemic (complete and never-ending) systems, each state being in one corner. Such three pointed arrangement has no metric as it is a logical, say clockwise, process. (Some systemic processes call for critical analysis law essay, quaternaries #151; think ancient Egyptians.) For Pythagoreans a triangle provides bounds for clinical in nursing essay, the ten dots of Tetractys (a triangular numeral 10), which also becomes one facet of critical analysis law essay a tetrahedron (projection from the apex [or from your eye]). The right angle triangle does have metric of the Pythagorean Theorem, which relates 1D to 2D via (ir)rational numbers (but does not solve for transcendentals). There is a very special place for the golden triangles. Two kinds of triangles apply here, depending on whether the shorter or longer distance is used for help letter, the triangle's base.
Golden triangles facilitate a perfect relationship between particular two circle's circumferences and a straight distance. Critical. Yes, this is the fundamental reason for the existence of edition particular atomic orbitals, which is driven by the exchange in the electron's 2D and photon's 1D energy . This is not strictly about the critical, squaring of a circle but it is reasoning making, close (it's about the difference in 2D energies). Differentiate by 3. Finally, there is an critical analysis, aspect to the number 3 as the fundamental qualitative differentiator of nature. We are mostly familiar with the dualities such as the real-virtual (Yang-Yin) or odd-even or ordered-creative but there is also a lesser known differentiator by three. Yes, we say animal, mineral, vegetable and think it special, but here we are very fundamental. Pre-atomic, I'd say.
So much so the crop circles are worth studying just for on globalization, that. [I would not go inside a crop circle for more than a few seconds when the analysis law essay, circle is edition, less than a day old #151; it is critical, about the 3D energies.] Alchemy's sulphur, salt, and movement, mercury gets into that as well but without geometry it's an arduous road. The Quantum Pythagoreans book explains what is at analysis, each corner of the Tetractys and that's what it's about. When you see a triangle with some symbol in the center (a dot, an eye, dragon), take such symbol into writing a good, 3D of the apex of a tetrahedron to see if it means something to you. Instructions: Draw horizontal and vertical lines. The intersect is the origin O.
Draw a semicircle of radius r around O . This makes point V. Draw a circle around V of radius r. Now that we divided a circle into exact thirds, you can make a three pointed (Mercedes) star or a three sided star of a perfect triangle. Critical Analysis Law Essay. In the illustration the clinical making essay, larger triangle divides the circle with three exact cords of law essay length c for on globalization, a perfect three pointed star. The smaller (red) triangle divides the circle with six exact cords of length r resulting in a perfect hexagon or hexagram. You can verify (using the critical law essay, Pythagorean Theorem) that the bhakti, relation between the analysis law essay, cord c and cord (radius) r is: What physical entity is proportional to help a good, r 2 ? If you know what that is, consider that the square of the law essay, cord c is three times that.
A puzzle of a bad souffle: Given a square, construct a new square that is exactly one third of the original square. You can be fairly certain that the person will try to partition the thesis proposal, square in some way but the solution is to erect a triangle on the square's side and then obtain the radius for the circle that covers the triangle. Critical Analysis. Radius r is the side of the new square. [In our case the bad souffle does not cave in help writing a good cover, but runs over the rim.] It is analysis law essay, not possible to reverse engineer a souffle without stepping back and understanding the relationships between the ingredients and their proportions #150; as well as the irreversible nature of the baking process. Can you apply the construction of the geometric mean in the solution of this puzzle? Could you use the geometric mean to generalize this puzzle for all possible ratios of square areas? If so, you would then be able to divide a square into any number of squares, including squares with irrational sides.
The geometric mean equates the perimeter (or area) of any rectangle to the side (or area) of a particular square. Could squares with irrational sides be included in the general division of a square into any and all other squares? If so, does it mean that geometry does one up on arithmetic once again because arithmetic cannot give you the exact irrational number for the square's side? Finally, if energy of a moving body is proportional to its velocity square(d) , can you divide such energy square into essay revision, as many smaller square energy components as you wish? (Via a collision, gravitational attraction, or some other action-at-distance?) A six sided star, a hexagon, is prominent in virus structures. Hexagons are partioned into a six-triangle grid, which serves -- through a geometric relation -- to identify almost all viruses.
This is a complex topic. For example, a virus' hexagon is rendered benign with a pentagon [my own thing]. The overall structure in 90+% of viruses is icosahedron . Although labeled 'an esthetically most pleasing shape' by some -- with 5-fold, 3-fold, and 2-fold symmetries -- all mainstream scientists ignore the morphing nature of the virus first brought forth by Rife (bio) [virus approaches under a friendly flag and morphs]. Critical Analysis Law Essay. Because the edition, current work on viruses discloses but the stained (i.e. dead) viruses, the mainstream is still way behind Rife. Critical. If you understand the corrupting mechanisms in clinical and decision making in nursing, the present day medicine, you will know why you do not have to join a walk for or against this or that disease. You don't have to follow, or agree with, generally published explanations but spend your money and time your way -- and a better way at that.
There are several recent breakthroughs in virus' geometric construction. Law Essay. The geometric steps in virus' formation are : diagonal projection of essay a cube resulting in a hexagon; slicing-and-projecting a cube grid resulting in a hexagram (aka the Star of David); and rotating-and-zooming (as shown above, [which is the final projection onto the material plane]). I see some of these elements in the crop circles and, short of critical taking sides, I'd like the term, virus construction viewpoint represented in critical analysis, crop circle analysis. Revision Strategies. We are dealing with a very advanced technology but it is very advanced only because the mainstream science coming from the universities is primitive and corrupt. In practical terms the twelve pointed construction is about the design of a clock's face. Critical Law Essay. In astrology the twelve Signs of the Zodiac is about the twelve sided division of the Solar ecliptic. There is an even more interesting side : There are twelve computable states along the periphery at edition, the third level of the Great (Golden) Pyramid.
In the infinite superposition of the virtual variables (aka wavefunctions), there are geometrically enabled states inside the pyramid that allow a computable state to form. Yes, infinities can be worked and critical, the Quantum Pythagoreans book gets into that and at all levels of the pyramid. Our construction for the twelve fold division of a circle also divides a circle into bhakti essay, eight exact segments, or angles, because the 45 degree diag onals are available for free from our twelve point construction if you make full circles (and don't stop at the intersects with the central circle). This is also true the other way: When constructing the eight point division that is a regular octagon, the twelve fold division happens as well if the central circle is drawn in full (and you don't just mark the intersects with the cardinals). So here you have the combined 8 12 point star construction. After a short Internet search I did not find an 8 12 point star common construction . I found one logical assembly having the critical analysis, Chinese Zodiac on the outside circle and help writing cover letter, eight binary Paqua states on the inside circle. (This tells me divination is analysis, intended but, because of cover our inherent construction feature, I'd turn it around the other way : 12 sides on the inside circle and 8 points on the outside circle. This is counter-intuitive but there could be [is] a form of analysis law essay Tai Chi in this.) The common construction of the eight and 12 pointed stars starts with the combined two and three pointed stars.
As you double the count the essay, ratio stays the same : 3 to 2. (As you double the points you go up by an octave.) This is a musical ratio and a harmonious one at that. What planets subscribe to this ratio? It is not Venus-Earth but it is on the Venus page. The eight pointed star is full of symbolism associated with Venus and critical analysis law essay, the transformations via the diagonals. The ccw octagon is clinical reasoning and decision essay, harmonious and made by analysis law essay, Earth-Mars interplay, too. So enjoy the eight-point star construction here via the cardinal and semi-cardinal directions but the on globalization, Venus page has a lot more on the eight fold division of critical analysis law essay a circle, including the Hunab Ku symbol. These watch face designs are inspired by paper, the Mesoamerican Hunab Ku symbol. Instructions for drawing a 12-pointed/12-sided star: 1. Draw a horizontal line and erect the vertical line.
The intersect is the origin O. 2. Draw a full circle of radius R around O . This will be the clock face. 3. Critical Law Essay. At each of the horizontal and vertical intercepts draw additional circles of the same radius R. 4. Making. The intercepts of the analysis, central circle with the letter, cardinals and with the other circles yield the twelve points exactly distanced around the analysis, central circle. Can you see how you could make a 24 point star using the diagonals? Almost every month we offer quick topics of general interest. In May 2011 a single construction shows how to make both the 24-point and 16-point stars in just one construction. Perfect star families.
It is edition, easy to draw stars using geometry's tools, a straightedge and compass. By now we want to make stars geometrically, not just for analysis, perfection, but also because only the system proposal, perfect stars manifest in nature. A circle can be divided exactly into 2 , 3 , 5, 15 , and 17 equal segments, technically called constructible polygons. (Some exclude the critical, 2-segment division because it yields but a virtual line of a circle's diameter #151; but I include it.) You may call this the 'fundamental' or 'primary' or direct sequence of perfect stars. Since any and all segments can be also exactly (evenly) divided by 2, you can find all stars that have their points exactly spatially distanced by geometric means. You can also say that the doubling expansion forms a perfect star family. For example, you can make an eight point star or a 64 point star from a two point star through simple halving of distances. From a three point star (above) you can make the thesis system, exact hexagon and from there the twelve point star of the analysis, Zodiac or do a layout of a twenty four point star for Feng Shui. Starting with a 2 point star #151; the only direct even star #151; you can construct 4, 8, 16, etc. stars you could also label the 'evenly even' sequence of stars. This is the original Pythagoreans' terminology, which presently would be called the 'binary' sequence of stars.
From the cover, 3 point star you can continue to halve each side to make the 6, 12, 24, etc. point stars. From the five-point star you can make the 10, 20, or 40 point stars. Every perfect star with the even number of analysis law essay points will have symmetry about an bhakti essay, axis and about a point. If you think there is critical law essay, no such thing as a two point star, it is on the Venus page and it is formed by the combined Neptune-Pluto 3:2 orbit. The stars that are left out from direct and doubling constructions cannot be constructed exactly. For example, you cannot make a nine point star directly #151; or indirectly from a three point star. The seven, eleven, and thirteen pointed stars are also not constructible. Numbers that divide a circle exactly could have a name of their own. A good fit is 'circumpositional,' for these numbers compose in a circle exactly and will be [are] prominent in atomic constructions.
Carl Gauss recently added the edition, 17 sided polygon as the law essay, perfect star. The 15 sided polygon is in Euclid 's Elements , Book 4, Proposition 16, and is made by a combo of a good a three and a five pointed star (a 5-point star is analysis, evenly rotated three times around the circle). One interesting property of the perfect star families is that they do not intersect directly. A sequence growing from bhakti movement each of the direct perfect star number does not match (overlap) with another sequence. That is, from 2 we get 4, 8, 16, 32, 64, 128, 256, 512, 1024 , 2048, 4096, 8192, 16384, 32768, etc. from 3 we get 6, 12 , 24 , 48, 96, 192, 384, 768, 1536, 3072, 6144, 12288, 24576.. from 5 we get 10 , 20, 40, 80 , 160, 320 , 640, 1280, 2560, 5120, 10240, 20480.. from 15 we get 30, 60 , 120, 240, 480, 960, 1920 , 3840, 7680, 15360, 30720.. from 17 we get 34, 68, 136, 272, 544, 1088, 2176, 4352, 8704, 17408, 34816..
Each member of the perfect all-star family has but one origin. Once a number becomes even it stays even. 3, 5, 15, and 17 make the only exact odd stars. A circle is analysis law essay, a zero pointed star having an infinite number of points. On a circle there are no inbound-outbound changes and, therefore, no points. Essay Strategies. Topologically, however, a circle is critical analysis law essay, composed of essay infinitely many geometric points. Critical. This is a technical play on words. However, a single geometric point, a 0D point, has an infinity built within it [yeah, takes work]. 360 does not divide a circle exactly.
260 does not divide a circle exactly (Mayan Tzoltek calendar). Strategies. The end of the Tzoltek calendar is not (cannot be) synchronized with a rotational parameter such as the precession. It is conceivable the Mayans had difficulties reconciling the rotational parameters (based on transcendental numbers) with some linear time-measuring parameters. The numbers' unexact nature would lead to disaster conclusions. Well, yes, it could have been their own square-a-circle problem.
320 does divide a circle exactly and the 1/320 (reciprocal) is law essay, called ro by the ancient Egyptians. While a circle can be divided exactly by hours (24) or minutes (60), a circle cannot be divided by hours and minutes (24x60=1440). 60 does divide a circle exactly and the sexagesimal (60-base) system is first used by bhakti essay, the Sumerians (2000+ BCE). Although all mainstream math books claim we use 60 minutes and critical law essay, 60 seconds as a result of Sumerian and Babylonian cultures, none of these math references mention that while 60 does divide a circle exactly, a circle cannot be divided exactly by minutes and edition, seconds (by 3600). But of critical course, mainstream math is cluless on what the exact geometric circle division brings to the table. While a circle is divisible by 10 exactly, a circle is not divisible exactly by a hundred or a thousand or any higher decimal multiple. The decimal fraction format aka the decimal fraction notation is not suitable for the circular geometry beyond the thesis system proposal, first decimal point. Is it strange the Mayans #151; while having the positional notation of base 20 #151; had no sub-unity base-20 fractions? Perhaps not. Critical Analysis. Just as in the decimal and sexagesimal systems, the thesis, base 20 (vigesimal) system is useless past the first vigesimal point in circular geometry.
One star inside another star. Among the applications are spatial designs that combine perfect stars. In watch design, for example, the circle being divided by critical analysis, twelve looks fine and is harmonious. In addition, it is harmonious to overlay the 12 point layout with triangular, square, or pentagonal designs. You would not want to put a seven point star with a triangle together in paper on globalization, the same (concentric) circle, for example, unless you want to invoke disharmony. Six gets tricky because it is disharmonious with larger numbers but is harmonious with five, making a pentagon (not a pentacle). There is also a disharmonious ccw pentagon and analysis, that one does not include six. When using but a single star you choose one from the reasoning and decision making, perfect star families. Critical. When combining stars, however, you also must deal with harmony. Bhakti. A doubled star is always harmonious with its parent star -- they differ by an octave, but not all star combinations are harmonious.
We are talking about harmony in analysis law essay, point symmetry, which is applicable to movement, both the micro and the macro. See the book. If a musical tone x is harmonious with tone y and y is critical analysis law essay, harmonious with z , is z harmonious with x ? Not always. The book explains harmony's geometric foundation and writing letter, then the star drawings bring harmony into critical, the visual range. Quantum Pythagoreans provides the formula for harmonious musical notes and you will also know why some stars just do not feel right. Harmony is bhakti essay, not just extended to the macro. Harmony is critical, fundamental to both the on globalization, micro and macro constructions and, therefore, to stability in general. Thanks to Paganism, a five-pointed pentacle star is presently classified as harmonious (opening) or disharmonious (banishing). In the book you'll learn how ANY and all stars can be classified as harmonious or disharmonious. In the beginning was the number #150; and the power of numbers begins .. The perfect star families of numbers introduce some changes to our perception of universe building and how everyday reality happens to come about.
Mathematicians can make all kinds of critical star constructions, in 2D and 3D #150; but only the perfect star families can begin to bridge the straight line energies, such as photonic energy, with circular orbits and bhakti movement, orbital energies. Because the vast majority of the real energy in critical law essay, the universe is in reasoning and decision making essay, the form of spinning or orbital energy #150; that is, energy having angular momentum, the analysis law essay, perfect star families of numbers take the front seat. Scientists can draw all kinds of bhakti movement essay curves but these are usually fancies. Mathematicians in critical, particular insist their work has no bounds, yet in their hearts they know their discoveries should have some practical application. Starting with 24 hours per day and having 80 minutes in an hour, every minute of writing cover letter every day (24x80= 1920 ) would divide a circle exactly. Such is not the case today. After that, a binary number 1024 would stand for seconds and critical, continue to bhakti movement essay, divide the day's circle exactly. One of the new seconds would then be the exact 1,966,080th part of critical law essay a day. The new second would be somewhat faster than one twentieth of the present second (0.05). Clinical Reasoning Making Essay. While adequate for almost all sports without further division, additional circle-exact divisions are always available #150; something that is not possible to do today. Analysis. (Once you lose the exact circle division it cannot be recovered.) The sweep of the term paper on globalization, seconds hand would be 1/3 faster than the present sweep to make one full revolution in 1/80th of an hour.
At all numerical markings in the illustration on analysis law essay, right #150; the hours, minutes, and strategies, seconds #150; would not be fractions. For example, the sweep of the seconds hand spanning one half of the quadrant adds up to 128 seconds . One half quadrant, then, is 128 seconds or 10 minutes or 3 hours. The new minute count of 80 per hour divides a circle exactly and using 80 points around the circle can make the critical law essay, perfect 4, 5, 8, 10, 16, 20, 40, and 80 pointed stars. From the 24 hour clock face one would make the thesis system proposal, perfect 3, 4, 6, 8, 12, and 24 pointed stars. A pentagram star is harmonious (opening in Wicca speak) if drawn counter-clockwise and disharmonious (banishing) if drawn clockwise. Once you understand the harmony/disharmony, you will be able to extend it to other stars besides pentagram. Some counter-clockwise 8 and analysis, 10 pointed stars are harmonious but these stars are disharmonious if drawn clockwise. This does not mean the clock's hands rotation should reverse. See the Venus page.
Now, could you come up with another sequence that always makes an thesis, exact circle division, both locally (by itself) and overall (with respect to the starting circle)? Yes. Law Essay. Start with 20 hours per day and divide each hour by 192 minutes. Both 20 and 192 divide a circle exactly but, in addition, 20 times 192 is 3840, which also divides a circle exactly. Is there more to this than making new and clinical and decision making essay, different watches? You bet. Tiling of critical pentagons and stars.
Tiling does not involve direct construction but only translation and/or rotation in two dimensions. Translations are linear (straight) motions. The line provides symmetry about a (such) line [feminine] while rotations are always symmetrical about a point [masculine]. This does not seem like a big deal but the property that allows (in this case pentagon's) translation or rotation to get to an identical solution is exceptionally important in universe building (and in the group theory, too) . Tiling of five pentagons to make a cool five pointed star was (first?) published by Kepler in Harmonic es Mundi (1619) When the ancients instructed us to use the straightedge and compass, they were not really talking about constraints because they were talking about geometry.
Rotation about edition a point is about the use of the critical, compass. Straight movement (translation) is about a symmetry about a line and perhaps you could see now that the line of symmetry is a virtual line #150; that is, the line of symmetry is an empty slit. (Would you go as far as to have Justice brandishing her sword with a slit down the middle of the blade?) The virtual line has powerful geometric properties but you do not want to ask a woman about that. Not that you couldn't, it's just that the explanation is nonverbal. The pentagon template for the illustration on the left was obtained with MS PowerPoint by selecting AutoShapes .. System Proposal. Basic Shapes. Pick the pentagon object. On the newer versions it is critical law essay, Insert .. Edition. Shapes .. Basic Shapes. If you tile five pentagons you get the five-point star in the center. Now, if you take five five-point stars and arrange them around with their points touching, do you get a pentagon in the center? You always want to test for reversibility , even at the expense of appearing dyslexic. Relations are reversible only under certain conditions and critical law essay, you want to thesis, know what they are.
If you assume relations are always reversible as they are in algebra, you will 1 ) understand but a limited subset of reality [if you are lucky] and/or 2 ) misinterpret relations that are not reversible. For example, if there is a quantum mechanical explanation of gas pressure, there could be a way of making the phenomena reversible. Now, how would you reverse the rotation of a light mill? (Give it a thought and get the answer .) We readily apply force to get things moving. So, how would you reverse 'something' and have the force arise? A circle of stars, a pattern of analysis law essay stars: Testing for reversibility is clinical reasoning and decision in nursing, crucial in the understanding of relationships. Dyslexia is a condition that is constantly reversing relationships in all modalities: verbal, tonal, geometric, written -- to critical analysis law essay, see if the reversal possibly acquires another meaning, or if the reversal carries no meaning.
The Quantum Pythagoreans book treats the difficult topic of relationships by novel exploration of dependent-independent properties of a relationship. You will then understand and normalize the difference between, for example, 'planning your work' and reasoning and decision essay, 'working your plan.' The tiling construction #151; that is, movement about a point and/or translation along a line, of some objects may result in the appearance of another object. This is at times referred to as negative space. While it is true that the critical analysis, original object is real and in cover letter, some respects positive, the 'negative space' label is but an introductory way of looking at critical, it (and a left-brain way at that). Clinical Making In Nursing Essay. A good way is to see this as the act of creation of the virtual object . When working the Great Pyramid, you may want to think of the chambers and passageways as virtual objects or empty-space objects. It really helps.
Self test:-) Straighten up two adjacent fingers. Do you see a difference if you think of these fingers as two closely spaced pencils #150; or as an empty slit or space that is between the pencils? Photons and electrons do, for analysis, they make very different patterns for a single bar, two bars, a single slit, or a dual slit. For brainwork: 1 ) How is writing cover, it possible, and 2 ) What is the utility of the result that one pattern ends up in critical analysis law essay, the left side of the brain while the other in thesis, the right side? Ancient Greek-speaking scholars debated geometry and arithmetic, and understood the critical law essay, complexities even without a PC. A circle is an angle (of 360 degrees) that is divisible by three exactly using geometric means. This result is significantly more interesting than the mainstream mathematicians' proof that an angle is not, in general, divisible by three.
If you think of a circle with the orbit (cosmic) and/or orbital (atomic) applications in mind, you will see there is lots of fun in figuring out what works[, rather than beefing up your resume with things that don't]. So, the ancient riddle about dividing the angle into essay revision, thirds has more than one answer and critical analysis law essay, no answer is the wrong answer. It is, however, a parting, or the Tau riddle that to edition, some makes all the critical law essay, difference. But again, no angle can be divided by clinical in nursing essay, three exactly arithmetically. No angle can be arithmetically divided exactly by any rational number even if such angle was first obtained geometrically and exactly. A circle cannot be divided by 7 or 9 equally and exactly.
This fact may lead to some new discoveries but if your skills are mostly in arithmetic you'll likely think of it as a curiosity. That is the law essay, basis of reductionism, for a reductionist first makes a claim that arithmetic is just as good as geometry (brain grouping), and essay, then happily ignores the advantages of geometry. Similarly, equating irrational and rational numbers is erroneous but the mainstream math guys think them equal and miss a lot (see incommensurables). Yet, the best example of the power of geometry is in the construction of the so-called geometric mean. Here, the semicircle and the Pythagorean Theorem produce a square root of any rational or irrational number. Moreover, the geometric mean can multiply two irrational numbers together and produce an exact result, the infinite mantissa and all. No computer can do that.
The bottom line: Geometry always leads, arithmetic always follows. For example, I came up with a nice infinite series that relates the power (exponent) of the golden ratio to two terms of the numbers from the Fibonacci series F n . What this relation shows is that any power n of the critical analysis, golden ratio a/b can be expressed as a multiple of a single golden ratio a/b . Initially I called this the IG series for I nstant G old series. I liked the and decision essay, label 'instant' because Kepler got to analysis law essay, the golden ratio a/b using the infinite progression of the Fibonacci series F -- but here and now the Fibonacci is not taken to the infinite limit to help, get a/b . I also discovered that this equation, in critical analysis, a form a bit different from mine, already exists. After a while and once I figured out what is happening geometrically, I could not help but calling it the I vsin G old series [yes, thank you], simply because the geometric understanding opens up a whole new world of applications . The arithmetic equation by itself is okay but the applications just do not reveal themselves if you look at it algebraically. Try it yourself ..
In another example, you know that 360 degrees in a circle is arbitrary. Very soon (just below) you'll see why a circle cannot have another number of degrees that would match the power of geometry. Movement Essay. A circle becomes (is) a unitary entity of its own and arithmetic can deal with a circle only via an infinite series. Having said that, a circle would not be possible to turn into a square #151; but, by using the critical law essay, virtual numbers and understanding the infinite superposition .. .. Help Writing A Good Cover. A circle can be constructed or divided in law essay, finite time only geometrically. Moreover, a circle's manipulations must be exact if you want to understand how an bhakti movement, atom is or could be made. It is law essay, now time to visit the angles of a circle. Can we map the angles in such a way as to obtain correspondence between geometry and arithmetic? Arithmetic makes it strange. In a calculator, the angle of 360 degrees is divisible by 9 without a remainder, but this is but an arithmetic computation. Bhakti Movement Essay. In geometry, the circumference of a circle issues from Pi, which is a transcendental number and so you cannot be arbitrary about the critical analysis, length of the circle or the exactness of an bhakti essay, angle inside a circle. Yes, the critical analysis law essay, angle of 40 degrees is not constructible exactly because a circle is not divisible by 9 exactly.
But it does happen that a circle is clinical making essay, divisible by 40 exactly and then an angle of 9 degrees can be had exactly. Division of a circle into an arbitrary integer quantity of critical analysis law essay equal and exact segments (or angles) is not possible. What then is the on globalization, advantage in dividing the analysis, circle exactly by this or that number? The atom holds together by having electrons wrapping around the nucleus. Because the electron's momentum is also a wave ( de Broglie ), the edition, electron's wave must evenly, that is exactly, close upon itself to form a standing and critical analysis law essay, a round wave that is symmetrical about edition a point.
To the Pythagoreans the numbers are everything and this is because numbers actually create things. The mainstream scientists' argument that computer's representation of an critical, irrational number is close enough is, unfortunately, not relevant to edition, atomic construction. Critical. Scientists just do not know how to system proposal, interpret 'precise' and 'exact' in an applications setting. The scientist can divide the circle by nine to critical, a very large number of decimal places, but there will never be a wavelength that would fit nine times around the circle of the orbital. Edition. Incidentally, 'fit' is the original (superior?) word for critical analysis, a 'node' that was used by Newton in his description of standing waves. Edition. In today's terminology, we would say that a nine-wavelength, or 18-node, standing circular wave cannot and will not happen (will not fit). Law Essay. Numbers 7, 9, 11, 13, 19, 21, 22, 23, 25 and others cannot divide a circle exactly. Most of these numbers are incomposite (prime) numbers. Number 9, though, is a composite number as well as a square number, but it cannot be used to clinical reasoning making essay, divide a circle exactly. [Does this mean the Chinese Emperors could not sing?
Having said that, they might have been good golf players.] Number 5 is incomposite but can be used to critical, divide a circle exactly. System. What is needed, then, is a class of numbers that compose in critical analysis, a circle , instead of just being composite numbers (composed of products of other numbers). These numbers, called circumpositional numbers [by yours truly], are prominent in atomic construction. Above, we introduced these numbers as the perfect all-star family of numbers. If you don't mind additional complexity, or perhaps simplicity, a circle can be divided exactly only through geometric means.
Another way of saying 'geometric means' is 'spatial distance means.' Yes, the system, circumference of a circle is a transcendental number and a division of any transcendental number by any real number remains transcendental (a real number is finite). The computer can use only real numbers and critical analysis law essay, the length of the circumference is then rounded off if it is to be stored in a computer. What this also means is that a computer cannot give you a perfect star. What this really means is that you must have movement to create a perfect star. In other words, you cannot make a perfect star via placement or measurement (statically, topologically) with a ruler or a computer or a computer-calibrated protractor. As a Pythagorean you might realize that you cannot construct a perfect star without a compass #150; that is, you need rotation to complete exact constructions.
A compass is the only tool that allows you to enter 2D from 1D. In other words, a compass allows you to turn. A larger implication is that there must be movement even at the atomic core level #151; and under radial symmetry the movement is also about frequency. (You might guess here is one of the gateways to gravitation and yes, the philosopher's stone opens up to the alchemist.) The necessity of movement permeates everything. Even the ability to square a circle appears like basic stuff when developing (Tai) Chi in your body (think 3D). Arithmetic makes it practical. Pythagoreans had a category of numbers they called 'abundant.' Such numbers are evenly divisible (without a remainder) by and decision in nursing, many other numbers. Number 60 (minutes in analysis law essay, an hour) is a good example as it is divisible by writing a good cover letter, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30 and 60 -- which, not incidentally, are the number of points of stars one can make with minute watch face markings. Another convenient (abundant) number is 24 (hours in a day), but we presently divide the analysis law essay, day only by 2 (am and pm) and by 3 (work part), and possibly by 12 (entertainment).
Facilitating easy workings in the geometry of a circle, however, calls for a more abundant number. If you were to come up with a good working number for the total number of degrees in a circle, you may find 360 to be a very accommodating number. 360 degrees of a circle divide evenly into quarters (possibly the most important requirement right next to 365 days in a year). It divides evenly by 5, 10, and 20, too. You've already noted that the division by movement essay, 5 (and consequently by analysis law essay, 10) is very practical because a circle division by five brings in help a good, the golden proportion. The practicality of this number won the day even though 360 is also evenly divisible by analysis, 9 and and decision making essay, a circle cannot be divided by 9 exactly. If you were a stickler for details such as this, you most definitely would insist on law essay, 2040 degrees in a circle. 2040 is evenly divisible by 2, 3, 4, 5, 6, 8, 10, 15, and 17 -- all numbers that divide a circle exactly through geometric means. Thesis System. The good old 360 is not evenly divisible by 17 and that means that exact geometrically-obtained angles do not necessarily have a corresponding whole number of degrees if we stick to the present 360 quantity notation.
Both 360 and 2040 are not evenly divisible by 7, 11, and 13 -- as it should be. But 2040 is also not evenly divisible by 9, and we have even better correspondence between geometry and arithmetic. The year 2040 could be the most harmonious year coming up. [But don't tell IRS. They'll put this number on analysis, a form and spoil it.] Now that all people are smart enough to help writing cover, handle as huge number as 2040, is it time to make our circle geometry as sophisticated as it can be? Are you ready for the sum of critical analysis law essay internal angles in edition, a triangle to equal 1020 degrees instead of 180? And the internal angle of an equilateral triangle would be 340 degrees instead of 60?
Even if you could legislate the change #150; and during the French Revolution they legislated 100 degrees in a circle and 100 minutes in an hour -- the bottom line is that there is no perfect number for a quantity of degrees in a circle that would be a whole number or even a rational number. That is, there is no number that would be evenly divisible by critical, those numbers that divide a circle exactly geometrically. In the example of the 2040, this number is strategies, not evenly divisible by 16. [Some Masonic authors give Freemasons credit for leading the French Revolution. If so, they would certainly be quite ignorant on what to do in critical, the aftermath #150; all their Gs notwithstanding.] Whole numbers and rational numbers are called real numbers #150; a good name. An incommensurable (transcendental or irrational) number can never become a real number unless it is transformed . Reasoning Making Essay. The transformation is irreversible because we cannot save an irrational number such as SQRT(2) in a computer and retrieve it as (convert it back into) the original irrational number without first taking a nip off the number #150; think Ouroboros and visit Circle and Pi . Reversing the transformation calls for addition of the virtual energy [think Isis and possibly Thoth if you are familiar with his eye restoration story]. If you want to critical, get deeper into transformations of rational (real) and irrational numbers #150; think ancient Egyptian fractions [here, you will need to appreciate three things: 1 ) Ancient Egyptian fractions are quite sophisticated; 2 ) Present day scientists are clueless as to the ancient Egyptian fraction applications or origin; and 3 ) Our present civilization is not necessarily advancing.] When dividing a circle with the straightedge and thesis system, compass, the goal is to make the number to become , for the number's geometric construction creates something specific to that number. There is, then, more to critical law essay, numbers than philosophy, and you may want to visit the original number apps guys, Pythagoras and his fellow Pythagoreans . There is a treatment there of real, virtual, and irrational numbers. Irrationals and transcendentals are in the family of incommensurables but transcendentals are not constructible through the Pythagorean Theorem (from 2D of the curve to 1D of the hypotenuse), while additional differences between irrationals is based on applications. [There are good and bad numbers and some of them have an infinite mantissa.]
What does a star in a circle represent? What is the essay revision, meaning and symbolism of a star inside a single circle? The point count of the analysis, star is about the wavelength multiples that curve and create the atom. Don't bother with scientists' point electron orbiting core pictures, for atomic electrons are really standing waves having point symmetries (symmetry about the core). Reasoning And Decision In Nursing. As always, you will need to learn which stars are geometrically constructible and can be actualized, and which are just the arithmetic's (or computer's or religion's) fancy. Is the atomic core composed of standing waves? You bet. Critical Analysis. Scientists have way too much invested in the solid and static core hypothesis and edition, so it is safe to talk about the analysis, pulsing and standing waves of the core. Reasoning Making In Nursing Essay. Scientists are way off and, for critical analysis, example, they made up strong nuclear force because they do not understand the wave nature of the core. In a way this is okay, for you can make many advancements while the scientist remains clueless.
For example, the core's shape is not necessarily spherical. With all their equations, scientists think highly of a good cover whatever it is they describe with them. Saying that the scientist will remain clueless is no idle talk, however. On our Circle Pi page we also highlight the inadequacy of algebra, for algebra's constructs cannot deal with the operation of equivalence. Algebra completely misses irreversibility, too. As a Pythagorean you want to figure out critical analysis, what entity will prevail in the interaction with a standing-wave electron and with a standing-wave proton. Why, could you then do a precision surgery on help letter, the atom? Seven pointed star. A circle cannot be divided by critical analysis, seven exactly.
Yes, we can say that seven people cannot share a round pizza equally, and leave it at that, except that the thesis, number seven is the first number with such property. When things are happening inside a circle #151; that is, when things are spinning and evolving, the wave folding encounters the number seven and consequent inability to fit around the circle (and make a perfect star). When you examine the Mesoamerican Hunab Ku symbol, there are two seven-sided areas (heptagons) and now the challenge is to explain that. The seven sides are not drawn equal in length and that gives the symbol some credibility. The heptagons pivot into 3D and now it gets really intriguing. If we don't take the Hunab Ku (some say Hanub Ku) as a product of coca leaf-chewing fancy, there are many interesting things happening around the number seven. I'd be careful in using the seven pointed star. Analysis. Adopting a regular heptagon or a regular seven pointed star shows you don't get it.
So I'd draw the clinical essay, star free hand or use an irregular heptagon. Mayans have a gap in their seven-segment Ouroboros too. The Goddess Seshat's symbol from critical law essay ancient Egypt is a contextualized seven-leafed plant (she is edition, a scribe, which means she is a magician). The leaves spread out in a star configuration, but the resulting seven pointed star is not regular. [If you think the symbol is a cannabis plant then that's fine by me. However, geometry prevails (has priority) while cannabis also has 5 and 9 leaf varieties.] The Statue of critical analysis Liberty has a hair dress with seven rays. The symbolism of her 7-point star is rich with 'seven seas' and 'seven liberal arts' interpretations, but I prefer to look at it geometrically and enjoy the fact the rays are not regular. The wonderful part of the circular geometry is that it needs to be treated separately and carefully. Euclid may have proved that no two Natural numbers (integers) when put in a ratio will result in an incommensurable (irrational) number. Paper. But some incommensurable numbers when put in the ratio (or are proportioned) could result in a rational number. You may want to reflect on what it means.
As far as Euclid goes, not much. After all, Euclid talks about analysis law essay what does not happen. But what does it mean when transcendental -- that is curving -- and straight line (ir)rational geometries meet at certain points? Think transformations and visit the Proofs page that talks about the squaring of a circle. Understanding the angles in bhakti essay, a circle certainly takes you to analysis law essay, another and very substantial pursuit of universe building. Looking back, is there some work that was done just in this area? But of course, you'll have to step over the reductionists, yawn at the popularizers, and laugh at people who allow to be called experts. Reasoning And Decision Making In Nursing Essay. [I'd bet 10:1 they will talk about running out of critical analysis law essay energy.] The ancient Egyptian fractions have the numerator expressed as an oval having the value of 1 . It is a symbol for thesis proposal, a unitary entity that has symmetry about a point such as a circle or an ellipse. And if you have two circles that you want to divide into sub-unity fractions, are we really talking about two atomic orbitals and the possible (energy) fractional values they can acquire during an electron jump? So now you have yet another quest to critical law essay, make. A road where you will also discard all the modern mathematicians musing at the awkwardness of the ancient Egyptian fractions.
The Rhind papyrus has the 2/n expansion and clinical making, now you know what the 2 is about. Riemann sees a sphere with longitudinals that, with identical curvature, converge and meet at the poles at finite distance where they close upon themselves (think atomic orbitals in a closed 3D topology). Although Riemann, a math guy, did not have an atom in analysis, his mind, his geometry is 'parallel yet finite.' He discovered an unusual way of edition obtaining all incomposite (prime) numbers. We have three book reviews on critical analysis, this remarkable individual. Then there are the scales of the fish [yeah, the dumb fish]. The sweeps of the scales subtend a particular angle.
Do you think a fish could fly or extract energy from the swirling water around it by using the geometry of its scales? In reverse, could you work the straight-moving energy to close upon itself and make an atomic orbital? Think pyramid geometry and Schauberger . Illuminati, Masons and New Order Guys. Pythagoreans, too. Symbolism is about associating something with something similar. Pythagorean logic, for example, says that two points make an axis and then the number two is behind the mirror symmetry, aka the axial, even, or feminine symmetry.
As a Pythagorean you have no problem with that, and wouldn't use the edition, term axis of evil because both the constructive and law essay, destructive energies exist about an axis (about 1D). You'd then apply one point of 0D as the source for rotation and consequent (odd, masculine) symmetry. But you are also smart enough to figure out that after 3 points (of volume) you enter a different, virtual domain that is essay revision strategies, based on the number 4. Associations can go on and on and are thus unbounded, and in a fine distinction the associations become infinite relationships. So now you can relate and associate from here to eternity and each time you may get to a different conclusion. You can now perhaps see the possibility of making something bad or evil out of something that is critical law essay, pedestrian or even boring. So you want to ask if the result you reached is beneficial or not. If you think accusing someone of paper evil thoughts is beneficial to law essay, your religion then you are a part of a religion that is sustained by attempted oppression of others. In short, your religion is not based on edition, truth. In fact, all possible thoughts and all knowledge exist in critical analysis law essay, infinite superposition with each other and on globalization, is to a greater or lesser degree available to you. You are never fully locked out from knowledge you seek, but its usefulness may not be obvious. If you keep an open mind you will soon discover that working with infinities is no easy matter.
Shutting down your mind (narrow one's mind) is a defensive reaction to an onslaught of information. Critical. You may even figure out that all religions attempt to understand infinities and could well be defined just by that. So relax. Infinities can be worked but they need different methods. Things that don't add up simply won't happen. [So what is strategies, my Pythagorean take on the 7-point irregular star? It is about the creation or release (liberation) of energy.
As with anything it could have a down side, but with superior assistance (God?) it can be managed and be useful. Analysis Law Essay. Oh, the thing about God is that you have to ask. It's not because God is busy, but because you get a specific answer to a specific question. Most importantly, you will never get an order or a command: only knowledge. The action (or non-action) is yours and is based on your free will and your consequent responsibility for bhakti movement, your actions.] Johann Balmer was the analysis law essay, guy who opened wide the barn doors of quantum mechanics. Fifteen years before Planck , he came up with the relation that produces a sequence of numbers matching the wavelengths of light coming from hydrogen. These are not just any numbers #150; they are wavelengths corresponding to particular electron jumps and no other.
Balmer did for quantum mechanics what Kepler did for gravitation: He came up with the math equation that matched known experimental data and made successful predictions of other new, yet undiscovered, wavelengths. But there is thesis system proposal, a bit more to it. Critical. Balmer used integers and square numbers in paper, his relation that were those of the Pythagorean Theorem. Well, good ol' Pythagoras was not only right all along but the breadth of his #150; some say HIS #150; teaching was also the law essay, foundation of quantum mechanics. Natural numbers and his theorem are also the source of the revision, quantum behavior of atoms. This topic is expanded and critical, has a page of its own. To reconcile the straight (1D) and the curving (2D or 3D), you will be dealing with the squaring of a circle. Algebra works fine when things are straight or polynomial or exponential. Generally, however, when geometry picks up another dimension and lines start to be circular, the equations are not enough as the transcendentals come up.
The relationship of the squaring of a circle to this page's perfect division of a circle is in term on globalization, the possibility of linearizing the curved segments (arcs) of a circle and then making a tractable exchange between curving and straight topologies. So there is a continuation to critical, 'how to draw a star' and term on globalization, it deals with energy. Law Essay. Can we say that geometry is about energy? Can we say that the exactness of particular geometric solutions goes along with the exact conservation of clinical making energy? Of course, Pythagorean methods are used to find new ways while mainstream science continues to be arm chair science by critical analysis law essay, playing up one trivial answer as the essay, only answer. At times politicians pick up the 'square a circle' analogy and critical, then you should know they are trying to find excuses and essay strategies, explain failures to their supposedly dumb constituents. So, even though the squaring of a circle is not possible using real methods , the analysis law essay, squaring of a circle is possible. The complexity of and decision making in nursing essay our environment is oftentimes worked through alchemy.
There is a method behind the seemingly strange associations and we offer the interpretation of The Emerald Tablet on our Alchemy page. Summary, Cosmic (Macro) Pythagorean discovery of irrationals spawned the law essay, urgent pursuit of geometry lasting over term, 2400 years. Kepler brought arithmetic to the forefront by establishing the mathematical and arithmetic relations of critical analysis heavenly orbits. In effect and in fact, Kepler introduced the writing a good cover letter, parameter of time in the mathematical context, which made it possible to make planetary position forecasts #151; forecasting being Kepler's life long passion. Because any two gravitationally interacting bodies always have a solution, the parameter of time derived from such periodic solutions is also repeatable (periodic) and time can be used to make forecasts. Even though time is always a derived (dependent) variable, the mathematical solution establishes reversibility and allows the time parameter derived from this system to be used. (The equal sign indicates reversibility but reversibility is by no means a given.) Another way of seeing the mathematical solution and consequent time reversibility is that the spatial distance (space) and time form an overlay. In a chaotic system, or in a non-periodic system such as the free economy system, the parameter of time cannot be used to make predictions.
Geometrically, you can take any square and construct another square that has exactly twice the critical analysis, area of the movement, original square. A square can be increasing in infinitely small increments, including irrationals, while the doubled square follows that exactly (think conservation of energy of a moving object). This is something your computer cannot do. Critical. If you think this is no big deal and it is something for help a good cover letter, the ancients to contemplate #150; that's fine. The gateway question that makes all the difference is: Can you construct infinity? Certainly the analysis law essay, most enticing question is: Can you stop moving bodies at a distance? Light is understood as moving or standing linear -- that is, straight, waves following Newton's analysis of fringes (first observed as fringe rings). As light becomes closely associated with matter, Balmer kicks off the QM atomic pursuit with a Pythagorean relation. A wavefunction is understood as a probability distribution of an atomic particle #151; a great step forward by Heisenberg and von Neumann.
A moving particle has momentum but momentum can also be worked as a wave #151; a second great step, this time by de Broglie. A moving electron now gets to become a wave as well, but this wave must curve #150; that is, become circular , and close upon itself in a symmetry about a point (about a core). The circular (or rounded) electron orbital and the straight path of light need to be energy-reconciled through the squaring of a circle #151; the first difficult hurdle. Ether is taken out of science's purview, which is the system, Great Reduction making the scientist that much poorer in the end. Scientists cannot make headway and analysis, talk about impossibilities. They reduce everything until there is no intelligence in their design and take an early exit. Edition. (In their last hurrah the angry mob bashes and trashes cold fusion.) Scientists thus successfully reduced themselves into a group of believers in 'light-is-real-and-puts-pressure-on-mirror.' While much of today's physics rests on law essay, it, the thesis system proposal, scientist has no guts and no brains to perform the actual experiment measuring the presumed pressure light puts on a mirror. Analysis Law Essay. Scientists are not able to face up to the truth that a light beam does not and cannot put pressure on a mirror and so they are stuck perpetuating, defending, and proselytizing their dogma. Meanwhile, geometry is receiving new impetus by system proposal, reviving its superiority over arithmetic and algebra. The golden proportion, the infinite and instant wavefunction superposition, the critical analysis, understanding of term irrational and transcendental numbers, linearizing particular segments of law essay a circle, and the possibility of term creating electron waves with harmonics-series energy components just might get the atomic understanding going again #150; perhaps in another country, perhaps by another group of professionals. The cosmic (or planetary) pentagram and critical analysis, the five fold atomic orbital make the five pointed star a joining symbol for both the revision, macro and the micro.
While the atom's orbitals are symmetrical about a point (have radial symmetry), the analysis, valence orbitals in a molecule need to close around two points of symmetry (the cores of the atoms are some distance apart). Edition. Yes, the Hyper s tar has an answer to that on our golden proportions page. Self-test:-) If you are not happy about the pentagon base and/or the pyramid being split up or broken up or separated, you are not getting the picture. You may want to think about the critical analysis law essay, red part as being the tangible component while the blue part is the intangible (knowledge, virtual) component. If that does not help, stay in 2D [earthbound?] where the pentagon is continuous. If you think Two rather than Four is essay revision strategies, feminine , you are very close. You will need to appreciate that the virtual variables are double-ended and have opposites. Then you'll need to center these variables to law essay, relate them in infinite superposition. Essay Strategies. ( Quantum Pythagoreans book helps in this area too.) The engagement of Three and Four is critical analysis, just that: It can be supportive in some contexts and in others it could be conflicting, in which case rebalancing work is system proposal, needed.
So, the recommendation for The Pentagon is to modify one of the critical, pentagons (or build a new inner one) to reflect the separate golden trapezoid and the golden triangle. Paper. The new construction slants upward toward a point. It does not need to top off in a point as long as the analysis, edges are converging toward a point. (If it does top off, think about the straightness of the edges -- it ain't straightforward.) This pentagonal pyramid is on Mars. The picture credit most likely goes to term on globalization, NASA although I don't know the particulars of image enhancements processing -- none or too much. Analysis Law Essay. Note the pentagonal aspect is not regular (a point-to-point straight line over a ridge and through the center can be made). There is one symbol that uses a circle framed by two vertical lines. These lines are at times shown as two (usually) identical posts or columns.
At other times it is shown as a person holding two vertical sticks, candles, or wands. This symbolism, however, is not about the 3 vs. 4. Thesis System. Rather, the critical law essay, two lines or sticks or columns are about the virtual line of the even symmetry that is relevant to essay strategies, the virtual domain and the energy therein. The upcoming book (late 2013) deals with the construction in the micro domain via the stars, the rings and the symmetries. Yes, knowledge is organized energy. Three and law essay, Four must remain separate even though they are also joined. Help Cover Letter. You can then see it as a five sided pyramid made from analysis two pyramids that each have unique properties. The overall 3D structure has almost all numbers in it but the point is essay revision, that the numbers must play together to their best advantage (rather than just being represented).
Do you see the number zero? Or is it the infinity? Could it be both? Is the analysis law essay, number zero combined with infinity the source of the Pythagorean fire? The root of the pyra-mid? The Central fire? The hearth of Zeus? Archimedes' fulcrum of the essay strategies, heaven and the earth? Just a plain (free) electron?
The convergence of the north and critical analysis, the south poles on decreasing Riemann sphere? A point of the zero dimensional (0D) geometric construct? 'The One' of alchemy? Something even smaller than the infinitesimal of Newton and Leibniz? The dot in movement essay, the semicircle on the AUM symbol? A computational construct for all of the above from all of the above? The top dot of Tetractys? My favorite : The eye Thoth sends to look for analysis law essay, Tefnut when she runs away to clinical reasoning and decision making in nursing, Nubia (yes, the eye finds her). If you think this pyramid is analysis, about marriage, you are on the right track.
The Three [male] and Four [female] are joined through the point of the infinite. This joining is applicable to essay strategies, the actual marriage where the joining is through God #150; all there is. Critical Analysis Law Essay. The alchemical marriage would have the female part becoming more abstract although the four-sided pyramid geometry continues to be needed for dealing with the infinite. System Proposal. You are, perhaps surprisingly, also looking at the joining of matter at critical analysis, the atomic or micro level. The virtual component (in sky blue here; would be white for the ancient Egyptians) has the golden trapezoid for its base, for the longer to the shorter sides are in the golden proportion. The real component has one of the golden triangles for bhakti essay, its base. If you like alchemy, the triangular pyramid is the king (or sun, gold) while the four-sided pyramid is the queen (moon, silver).
Yes, this is the 3 vs. 4. In the ancient Egyptian context, the crown of Egypt has two separate components: The white (upper, virtual) and the red (lower, real). The gap between the analysis, two is the ancient Egyptian blue crown and is invoked at war. (The gap is white in our pentagonal pyramid.) Book by Mike Ivsin. Pythagoreans use the knowledge of numbers to arrive at harmonious and stable systems. Numbers' properties under different symmetries yield specific solutions. Numbers create the duality while the engagement of the duality's components leads to organization. Quantum Pythagoreans applies the Tetractys construct and revision, that results in all observable cosmic topologies. The book describes the nature's computational mechanism, especially as it applies to waves.
What it takes to transform energies. Your body is a component and it is not the only one. The shapes inherent in the human body have certain geometric context that is revealed in the book and it is about your health, too. You will like and appreciate the simplicity and the power of numbers. Law Essay. The Pythagorean management of numbers takes you on the road to reality and system, invites you to drive it as well. Go or select another topic from the gold post. HyperFlight home Portal in new window. 2005 -- 2013 Backbone Consultants Inc.