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Topic: Chens theorem

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	Talk:Goldbach's conjecture - Wikipedia, the free encyclopedia
		In 1966, Chen Jing-run showed that every sufficiently large even number can be written as the sum of prime and a number with at most two prime factors.
		Chens result is not identical to Goldbachs conjecture, not even for every number> some unknown number n.
		And both Chen and Wang are the most common surnames, with millions of people sharing them.
	en.wikipedia.org /wiki/Talk:Goldbach's_conjecture (1539 words)

	Chen's theorem - Encyclopedia Glossary Meaning Explanation Chen's theorem (Site not responding. Last check: 2007-11-03)
		Chen's theorem was first stated by Chinese mathematician Chen Jingrun in 1966, with further details of the proof in 1973.
		The theorem states that every large even number is the sum of a prime and a semiprime, which may be denoted as "1 + 2".
		Chen's theorem is a giant step towards the Goldbach conjecture, and a remarkable result of the sieve methods.
	www.encyclopedia-glossary.com /en/Chens-theorem.html (162 words)

	Sieve theory: Encyclopedia topic (Site not responding. Last check: 2007-11-03)
		Brun's theorem, which asserts that the sum of the reciprocals of the twin primes converges (whereas the sum of the reciprocals of the primes themselves diverge);
		Chen's theorem (Chen's theorem: chens theorem was first stated by chinese mathematician chen jingrun in 1966, with...
		The techniques of sieve theory can be quite powerful, but they seem to be limited by an obstacle known as the parity problem, which roughly speaking asserts that sieve theory methods have extreme difficulty distinguishing between numbers with an odd number of prime factors, and numbers with an even number of prime factors.
	www.absoluteastronomy.com /reference/sieve_theory (893 words)

	Citations: Ramsey Numbers for Sparse Graphs - Eaton (ResearchIndex) (Site not responding. Last check: 2007-11-03)
		The constant was improved in [GRR] ChenS] R (G,G) c d n for all d arrangeable graphs G on n vertices.
		EFRS9] Study of graphs G for which there exists a constant C such that for all H with no isolates R (G, H) Ce (H) LRS] R (G,G) 6n for all n vertex graphs G, in which no two vertices of degree at least 3 are adjacent.
		ChenS] R (G,G) c d n for all d arrangeable graphs G on n vertices.
	citeseer.ist.psu.edu /context/215080/0 (778 words)

	Foundation (Site not responding. Last check: 2007-11-03)
		Usually under the control of the great families of the Chens and the Divarts, it degenerated eventually into a blind instrument for maintenance of the status quo....
		Chen, lean and hard, older in looks than in fact, was the actual Emperor of all the Galaxy.
		Chen said, "Dr. Seldon, you disturb the peace of the Emperor's realm.
	www.myths.com /pub/fiction/science-fiction/asimov/Foundation.html (18889 words)

	Atle Selberg: biography and encyclopedia article (Site not responding. Last check: 2007-11-03)
		In a 1947 paper he introduced the Selberg sieve, a method which led to Chen's theorem (Chen's theorem: chens theorem was first stated by chinese mathematician chen jingrun in 1966, with...
		He was awarded the 1986 Wolf Prize in Mathematics (Wolf Prize in Mathematics: more facts about this subject).
		Critical line theorem (Critical line theorem: in mathematics, the critical line theorem tells us that at least a fixed percentage of...
	www.absoluteastronomy.com /reference/atle_selberg (642 words)

	[No title]
		(Abstract, Full text (PS - 155 kB, PDF)) Shutao Chen, Marek WisaExtreme compact operators from Orlicz spaces to.
		(Abstract, Full text (PS - 226 kB, PDF)) Jerzy Kakol A note on a theorem of Klee.
		(Abstract, Full text (PS - 94 kB, PDF)) Dong Chen Ostrowski-Kantorovich theorem and -order of convergence of Halley method in Banach spaces.
	www.maths.tcd.ie /EMIS/journals/CMUC/cmuc9301/cmuc9301.tasc (396 words)

	Margo Kingston's Webdiary - smh.com.au (Site not responding. Last check: 2007-11-03)
		Mr Chen is a prize twit who has s*** in his own backyard and is going to pay the price for it.
		The basic rule has been that poor Muslims come to Australia by boat and we lock them up (even though most are later proved to be genuine refugees) while wealthy Christians arrive by air and are allowed to live in the community while their claims are considered (even though most are later sent home).
		The sight of Chen being treated with such concern by leading members of the Government is going to confuse a lot of ordinary people.
	webdiary.smh.com.au /archives/margo_kingston_comment/001137.html (15313 words)

	Só Matemática :: Exibir tópico - Teorema de Goldbach e Teorema de Chen
		This conjecture dates from 1742 and was discovered in correspondence between Goldbach and Euler.
		In 1966 Chen Jing-Run (1966) proved that every sufficiently large even number can be expressed as the sum of a prime and a number with no more than two prime factors (reprinted in Chen, 1973, 1978).
		Owing to the density of the primes (c.f.
	www.somatematica.com.br /forumsm/viewtopic.php?t=1299 (2248 words)

	Swarthmore in the News: November 30, 2000
		I'll bet some time has passed since you last proved a theorem, balanced a chemical equation, or encountered a Canterbury pilgrim on the road.
		Delson sat in the audience at the start of the meeting, identifying himself as "a private citizen who has recused himself from the rezoning issue."...
		On the banks of the Cooper River near the Lobster Trap restaurant, Ru Tang Chen and Ning Fang Chen have discovered a place to practice Falun Gong in freedom.
	www.swarthmore.edu /Home/News/Clippings/2000/00.11.30.html (4615 words)

	Quaternion References
		Dickson, L.E.: On Quaternions and Their Generalization and the History of the Eight Square Theorem.
		Eilenberg, Samuel; Niven, Ivan: The "Fundamental Theorem of Algebra" for Quaternions, Bulletin of the American Mathematical Society, Vol.
		Nagatomo, Y.: Vanishing theorem for cohomology groups of c2-self-dual bundles on quaternionic Kahler manifolds, Differential Geometry And Its Applications, Volume 5, Issue 1, March 1995, ISSN: 09262245
	home.att.net /~t.a.ell/QuatRef.htm (10891 words)

	[No title] (Site not responding. Last check: 2007-11-03)
		Here is an unrepresentative sampling: Albert N Pergande, M. Scullin, W.G. Beck, and numerous others, one of whose proofs is given in the item following this one): A geometric ray (closed) has one end point, with the other end extending to infinity.
		This clearly contradicts the thesis, and by induction the theorem is disproved.
		Told YOU, didn't I? Kevin D. Webster: Although I've never seen one, my math instructor assured me that a ray has an end but not an other end.
	www.improbable.com /airchives/miniair/twentieth-century/MINI9906 (2787 words)

	Shutao Chen, Marek Wis\l a (Site not responding. Last check: 2007-11-03)
		The main theorem says that a compact linear operator $T:E^{\varphi }(\mu)\rightarrow C(\Omega)$ is extreme if and only if $T^{}\omega \in Ext B((E^{\varphi }(\mu))^{})$ on a dense subset of $\Omega $, where $\Omega $ is a compact Hausdorff topological space and $\langle T^{*}\omega,x\rangle =(T x)(\omega)$.
		There is also given a theorem on closedness of the set of extreme points of the unit ball with respect to the Orlicz norm.
		Keywords: extreme points, vector valued continuous functions, compact linear operators, Orlicz spaces
	www.emis.de /journals/CMUC/cmuc9301/abs/chens.htm (140 words)

	Some recent Publications (Site not responding. Last check: 2007-11-03)
		Alias, L. and Palmer, B.W. On the area of constant mean curvature discs and annuli with circular boundaries Math.
		Alias, L. and Palmer, B.W. On the Gaussian curvature of maximal surfaces and the Calabi-Bernstein theorem Bull.
		Schrijner, P. and van Doorn, E.A. Limit Theorems for Discrete-Time Markov Chains on the Nonnegative Integers Conditioned on Recurrence to Zero Commun.
	fourier.dur.ac.uk /php/publications.php?username=dma0sb&subgroup=C&... (15499 words)

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