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Topic: Wilsons theorem

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Formula for primes

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	John Wilson - Wikipedia, the free encyclopedia
		Before this, Wilson had contributed to Blackwood's prose tales and sketches, and novels, some of which were afterwards published separately in Lights and Shadows of Scottish Life (1822), The Trials of Margaret Lyndsay (1823) and The Foresters (1825); later appeared essays on Edmund Spenser, Homer and all sorts of modern subjects and authors.
		But the matter was made a political one; the Tories still had a majority in the town council; Wilson was powerfully backed by friends, Sir Walter Scott at their head; and his adversaries played into his hands by attacking his moral character, which was not open to any fair reproach.
		Wilson made a very excellent professor, never perhaps attaining to any great scientific knowledge in his subject or power of expounding it, but acting on generation after generation of students with a stimulating force that is far more valuable than the most exhaustive knowledge of a particular topic.
	en.wikipedia.org /wiki/John_Wilson (1046 words)

	Encyclopedia: Wilson's theorem
		The theorem was first discovered by Ibn al-Haytham (also known as Alhazen), but it is named after John Wilson (a student of the English mathematician Edward Waring) who rediscovered it more than 700 years later.
		There is also a generalization of Wilson's theorem, due to Carl Friedrich Gauss: Jump to: navigation, search Carl Friedrich Gauss (GauÃŸ) (April 30, 1777 â€“ February 23, 1855) was a German mathematician and scientist of profound genius who contributed significantly to many fields, including number theory, analysis, differential geometry, geodesy, magnetism, astronomy and optics.
		The converse to Wilson's theorem states that for a composite number n > 5, Jump to: navigation, search A composite number is a positive integer which has a positive divisor other than one or itself.
	www.nationmaster.com /encyclopedia/Wilson%27s-theorem (1282 words)

	NUMBER - LoveToKnow Article on NUMBER (Site not responding. Last check: 2007-10-17)
		Hence Wilsons theorem is invertible: but it does not supply any practical test to decide whether a given number is prime.
		It is a fundamental theorem that for a given determinant the number of classes is finite; this is proved by showing that every class must contain one at least of a certain finite number of so-called reduced forms, which can be found by definite rules of calculation.
		By means of these theorems, Hilbert finds an expression for the exact power to which a rational prime p occurs in the discriminant of ~i, and in other ways the structure of f~ becomes more evident.
	www.1911encyclopedia.org /N/NU/NUMBER.htm (10915 words)

	Wikipedia talk:Naming conventions (theorems)
		Of course, all the ones with a missing apostrophe, like Taylors theorem, should be moved to the proper version Taylor's theorem.
		Although I find the practice distasteful personally, textbooks seem to prefer "Pythagorean Theorem" over "Pythagorean theorem" to me. As in "There were many Pythagoren theorems — theorems proved by the Pythagoreans — but the most famous of these is the Pythagorean Theorem — although it was actually known long before their time.".
		He came promptly upon two objects which he would willingly have most German monuments, but antipathetic and uninteresting, as all this he was sensible that he had not seen any woman-and-dog teams for distribution was so controlled that they should have abounded in Hamburg,.
	www.termsdefined.net /wi/wikipedia-talk:naming-conventions-(theorems).html (1827 words)

	Consilience - The Unity of Knowledge (Site not responding. Last check: 2007-10-17)
		I am surprised that Wilson does not tackle it, especially as he seems to claim that one day there will be no questions at all that science cannot answer.
		But that is what Wilson’s presuppositions cannot allow, for then we would be faced with the question as to the origin of that ordering principle which has produced conscious beings.
		Wilson rejects this because he believes that brain science is advancing very fast.
	www.apologetics.fsnet.co.uk /consilience.htm (3332 words)

	A version of QED without ultraviolet divergences - Physics (Site not responding. Last check: 2007-10-17)
		This is equivalent to using infinite Hamiltonian, i.e., with infinite parameters M and E. Wilson's approach: We assume that the bare masses and charges in the Hamiltonian are cutoff-dependent m(L) and e(L).
		What got me was the conclusion: 'Wilson's analysis takes just the opposite point of view, that any quantum field theory is defined fundamentally with a distance cutoff D that has some physical significance.
		Wilson's arguments show that this this circumstance explains the renormalizability of quantum electrodynamics and other quantum field theories of particle interactions.
	www.okka.biz /_A_version_of_QED_without_ultraviolet_divergences-26176600-288-a.html (19073 words)

	Wilson Theorem (Site not responding. Last check: 2007-10-17)
		A necessary and sufficient condition for Wilson's impossibility theorem with str...
		Citations: Intersection Theorem with Geometric Consequences - Frankl, Wilson (Re...
		EconPapers: A necessary and sufficient condition for Wilson's impossibility theo...
	scienceoxygen.com /math/308.html (121 words)

	Web Site for Perfectly Random Sampling with Markov Chains:
		However, the running time of their algorithm is an unbounded random variable whose order of magnitude is typically unknown a priori and which is not independent of the state sampled, so a naive user with limited patience who aborts a long run of the algorithm will introduce bias.
		The method is based on ideas of the author and David Wilson for using ``coupling from the past'' to remove initialization bias from Monte Carlo randomization.
		The seminal work by Propp and Wilson made an important contribution to simulation by proposing a coupling method, Coupling from the Past (CFTP), which delivers perfect, that is to say exact, simulations of Markov chains.
	dimacs.rutgers.edu /~dbwilson/exact.html (14686 words)

	All words on John Wilson
		John Wilson (August 6, 1741 - October 18, 1793) was a mathematician, who is known for Wilson's theorem which states: If p is prime, then
		He was Chief Whip of the Labour group in 1984 when Ken Livingstone resigned from the GLC to force a by-election aimed at showing the popularity of the GLC.
		Wilson acted as Leader of the GLC while Livingstone was not a member.
	www.allwords.org /jo/john-wilson.html (1349 words)

	Wilson's theorem - Encyclopedia Glossary Meaning Explanation Wilson's theorem (Site not responding. Last check: 2007-10-17)
		Wilson's theorem - Encyclopedia Glossary Meaning Explanation Wilson's theorem.
		Here you will find more informations about Wilson's theorem.
		There is also a generalization of Wilson's theorem, due to Carl Friedrich Gauss:
	www.encyclopedia-glossary.com /en/Wilsons-theorem.html (598 words)

	INTE1113/2033 (IT543) 3D Web Technologies - Tutorial #8 (Site not responding. Last check: 2007-10-17)
		The theorem states that, when converting from an analog signal to digital (or otherwise sampling a signal at discrete intervals), the sampling frequency must be greater than twice the highest frequency of the input signal in order to be able to reconstruct the original perfectly from the sampled version.
		The theorem was first formulated by Harry Nyquist in 1928 ("Certain topics in telegraph transmission theory"), but was only formally proved by Claude E. Shannon in 1949 ("Communications in the presence of noise").
		Mathematically, the theorem is formulated as a statement about the Fourier transform.
	goanna.cs.rmit.edu.au /~nigels/Web3D/lab8 (325 words)

	Encyclopedia: John Wilson (mathematician)
		A theorem is a statement which can be proven true within some logical framework.
		In mathematics, Wilsons Theorem states that for a prime number p > 1, (see factorial and modular arithmetic for the notation).
		In mathematics, a proof is a demonstration that, given certain axioms, some statement of interest is necessarily true.
	www.nationmaster.com /encyclopedia/John-Wilson-%28mathematician%29 (259 words)

	TPMCafe \|\| The Big Lie About Valerie Plame
		Wilson, in addition to all that, was known around town as a grandstander and a bit of a flake.
		Wilson's credibility in an effort to hide the ball and divert attention from the shocking misdeeds of a very high administration official is truly repellant -- and revealing.
		Wilson's description of the meeting is on page 441 of "The Politics of Truth" He sources it to a source in the House Judiciary Committee.
	www.tpmcafe.com /story/2005/7/13/04720/9340 (16273 words)

	Buchan
		Wilson's Cave is a spacious walk-through cave at East Buchan that runs underneath the road.
		Gear was washed, nice cheese and mood-altering beverages had been consumed in substantial quantities, the good cushions had been hidden and the crockery had been safely stowed on the high shelves.
		The Pyramids area is nearby, with interesting surface rock formations, but there are some access issues at the moment; and the most impressive cave in that area, Dalleys Sinkhole, is on private property and reportedly permission to enter it is unlikely to be forthcoming from its owner, a quarry operator.
	www.ee.usyd.edu.au /suss/Bulls/42(1)/NortonBuchan.html (5649 words)

	Fermat's Enigma : The Epic Quest to Solve the World's Greatest Mathematical Problem at ShopEZ.com
		The proposition, known as Fermat's Last Theorem, is simple to describe such that even a child can understand it: that there was no solution to the equation "an + bn = cn" (where '' is 'to the power of', a, b, and c are whole numbers greater than 1, and 'n' is greater than 2).
		While it does discuss the logic behind the proof in the broadest possible terms, this book is primarily a historical account of the theorem and the people who have contributed to its proof.
		This theorem (or conjecture, as it had not been proved yet) has haunted mathematicians for over three centuries.
	shopez.com /shop.cfm?itemid=0385493622 (1475 words)

	Pace University - Lubin School of Business - Press Releases
		The Wilsons are Boston-area entrepreneurs and philanthropists whose involvement with nonprofit organizations has convinced them that more-entrepreneurial management can help these organizations increase their impact.
		The executive director of the Wilson Center is Rob Johnston, former president of the Leader to Leader Institute and its predecessor, the Peter F. Drucker Foundation for Nonprofit Management.
		Helene Wilson has lent her support to causes including the Vietnam Veterans of America Foundation's Campaign for a Landmine Free World, for which she and her husband sponsored a private benefit performance by Grammy Award winner Emmylou Harris.
	appserv.pace.edu /execute/page.cfm?doc_id=6547 (5657 words)

	JOHN WILSON FACTS AND INFORMATION (Site not responding. Last check: 2007-10-17)
		The death of his wife in 1837 was an exceedingly severe blow to him, especially as it followed within three years that of his friend Blackwood.
		John Wilson (August_6, 1741 - October_18, 1793) was a mathematician, who is known for Wilson's_theorem which states:
		Yet another John Wilson (1627-1696) : John Wilson
	www.19gmarketinggroup.com /John_Wilson (986 words)

	Citations: the strategic stability of equilibria - Kohlberg, Mertens (ResearchIndex) (Site not responding. Last check: 2007-10-17)
		Wilson (1992) modified the Lemke Howson algorithm for computing equilibria that fulfill a weaker notion, called simple stability.
		This is the algorithm by Wilson (1992) for finding simply stable equilibria, and the complementary pivoting method due to van den Elzen and Talman (1991) for finding a perfect equilibrium.
		Basically, a set of equilibria is called stable if every game nearby has equilibria nearby (Wilson, 1992) In a nondegenerate game, all equilibria are isolated and determined by the set of pure strategies that have positive probability,....
	citeseer.ist.psu.edu /context/365229/0 (2293 words)

	Rugby news, fun, results, fixtures and features from Rugby365.com (Site not responding. Last check: 2007-10-17)
		This group of BC players let their on field performance do the talking, and the few hundred fans at Brockton Oval were treated to a gutsy, hard-hitting, give no quarter performance which fell agonizingly short of a victory over the touring NZ Youth team.
		The two Wilsons, Eric and Jason had shown good form, and Kevin Guidi was impressive in all aspects of his kicking, his first half penalty was struck from just over 40 meters.
		Captain Eric Wilson was active from his flyhalf position, distributing the ball well, using the kick adeptly to release pressure and providing the leadership needed of a captain.
	www.rugby365.com /LATEST_NEWS/story_39714.shtml (1352 words)

	Author : works by John Wilson (Site not responding. Last check: 2007-10-17)
		John Wilson (May 18, 1785 - April 3, 1854) was a Scottish writer, the Christopher North of Blackwoods Magazine.He was born at Paisley, the son of a wealthy gauze manufacturer who died when John was eleven years old.He was the fourth child, but the eldest son, and he had nine brothers and sisters.
		These are discussions in the form of convivial table-talk, including wonderfully various digressions of criticism, description and miscellaneous writing.There was much ephemeral, a certain amount purely local, and something wholly trivial in them.
		Most of the best and best known of them appeared between 1825 and 1835.The domestic events of Wilsons life in the last thirty years of it may be briefly told.
	www.booksearchprice.com /514779_john-wilson_0613429710acrossfrozenseasisbnbookdatabase.html (823 words)

	Web Site for Perfectly Random Sampling with Markov Chains:
		We use ideas of coupling from the past and in particular point out that if interest is in the output from a computing machine then one need go no further than the work of Propp and Wilson (1996), who considered perfect simulation involving finite state spaces.
		Propp and Wilson (1996) devised a Markov chain algorithm called Coupling From The Past (CFTP) that solves this problem, as it produces exact samples from the target distribution and determines automatically how long it needs to run.
		A study of Propp and Wilson's method for exact Markov chain Monte Carlo sampling, 1997.
	www.cba.ua.edu /~mhardin/Web%20Site%20for%20Perfectly%20Random%20Sampling%20with%20Markov%20Chains.htm (12141 words)

	mersenneforum.org - On a continuing indefinitely sequence of Mersennes.
		Notice Wilson's theorem is an iff stement of primeness.
		Wilson's theorem has within its assertion that kp= (p-1)!+1.
		All this within the process of stating that a given 2^p-1, is prime by Wilsons theorem.
	mersenneforum.org /showthread.php?t=676 (3452 words)

	Walkabout 8
		Because of the sensitivity of the area, all visitors must check in with the Information Centre at Tidal River; and as there are only a limited number of cabins and campsites at The Prom, booking ahead is a must, even when the holidays are nowhere in sight.
		Like Wilsons Promontory down in Victoria, accommodations at Jervis Bay Village within Booderee National Park must be arranged ahead of time, though there are plenty of other places to stay in any of the neighboring holiday towns along the bay.
		This proves Homer’s Theorem, q.e.d., whatever the hell that means.
	www.noworriesmate.com /Books/NWM_W08.htm (15473 words)

	A proof of Wilson's Theorem
		In 1770 Edward Waring announced the following theorem by his former student John Wilson.
		elementary primality tests are built using Fermat's Little Theorem rather than Wilson's.
		Neither Waring or Wilson could prove the above theorem, but now it can be found in any elementary number theory text.
	primes.utm.edu /notes/proofs/Wilsons.html (244 words)

	Working seminar in Topology, Spring 2004 (Site not responding. Last check: 2007-10-17)
		Abstract: Jeg vil ta for meg Ravenel og Wilsons artikkel "The Morava K-Theories of Eilenberg-MacLane spaces and the Conner-Floyd Conjecture", Amer.
		Abstract: Jeg tar for meg Ravenel og Wilsons artikkel "The Morava K-Theories of Eilenberg-MacLane spaces and the Conner-Floyd Conjecture", Amer.
		This week's talks will provide an introduction to a series of lectures (Thursdays, 10.15 - 12.00 in B63) on the proof of the non-manifold part of Waldhausen's theorem.
	www.math.uio.no /~rognes/arbsemtop (134 words)

	Science & Theology News - Bookends (Site not responding. Last check: 2007-10-17)
		A leader in this field is Edward O. Wilson, Goulds long-time colleague in the organismic biology department at Harvard.
		It is well known that Gould and Wilson fell out, particularly over what Gould thought were the ideological implications of Wilsons work.
		Whether or not there were such implications, for Gould to pretend that Wilson and his fellow workers do not exist is petty and distorting beyond reason.
	www.scienceandtheologynews.com /archives/2002/Dec_bookends.html (5037 words)

	hakank.blogg: Kognitiva illusioner Archives
		But it would be more precise to say that Gilbert -- along with the psychologist Tim Wilson of the University of Virginia, the economist George Loewenstein of Carnegie-Mellon and the psychologist (and Nobel laureate in economics) Daniel Kahneman of Princeton -- has taken the lead in studying a specific type of emotional and behavioral prediction.
		Gilbert and his collaborator Tim Wilson call the gap between what we predict and what we ultimately experience the ''impact bias'' -- ''impact'' meaning the errors we make in estimating both the intensity and duration of our emotions and ''bias'' our tendency to err.
		Flera av Wilsons artiklar om affective forecasting finns här.
	www.hakank.org /webblogg/archives/cat_kognitiva_illusioner.html (7080 words)

	SLACK€R - easy is good® (Site not responding. Last check: 2007-10-17)
		Oh yes and Mark Wilson recieved Three gold medals two bronze and a silver becuase he dictates who gets the medals.
		In other news Jesse Wilson was caught in a blood doping scandal when he was found with insanely high levels of the performance inhancing drug Beefcake 2000.
		Team "I wanna be drunk but I have no money" Made up of Mark Wilsons sisters friends won the event based on the most amount of alcohol stolen in one place at one time.
	swank.ca /slacker/lesstalkingmoredoing/2002_03.htm (2687 words)

	Diary: Bled, Tehran (Site not responding. Last check: 2007-10-17)
		Again a guitar was produced (a better one this time) and I was asked to play (after the Wilsons had done a performance).
		So once again it was nearly 1am when we got back to the guesthouse, Mandana was on the edge; she had learned that she must accompany Dan Crnkovic to the airport at 2am, and had said some intemperate words.
		Rick Wilson bought a ney (which he can't play, and probably will never learn, since several other kinds including shakuhachi are ahead of it in the queue, but as he said, he can hang it on the wall).
	www.maths.qmw.ac.uk /~pjc/travel/bt03.html (13589 words)

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