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Topic: Essential singularity

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	Essential singularity - Wikipedia, the free encyclopedia
		In complex analysis, an essential singularity of a function is a "severe" singularity near which the function exhibits extreme behavior.
		The point a is called an essential singularity for f if it is a singularity which is neither a pole nor a removable singularity.
		The behavior of holomorphic functions near essential singularities is described by the Weierstrass-Casorati theorem and by the considerably stronger Picard's great theorem.
	en.wikipedia.org /wiki/Essential_singularity (210 words)

	Mathematical singularity - Wikipedia, the free encyclopedia
		The point a is a removable singularity of f if there exists a holomorphic function g defined on all of U such that f(z) = g(z) for all z in U − {a}.
		The point a is an essential singularity of f if is neither a removable singularity nor a pole.
		Singular value decomposition (SVD) is a method of factorizing matrices.
	en.wikipedia.org /wiki/Mathematical_singularity (605 words)

	Singularity Summit - What Is the Singularity?
		In futures studies, the singularity represents an "event horizon" in the predictability of human technological development past which present models of the future cease to give reliable or accurate answers, following the creation of strong AI or the enhancement of human intelligence.
		Many futurists predict that after the singularity, humans as they exist presently won't be the driving force in scientific and technological progress, eclipsed cognitively by posthumans, AI, or both, with all models of change based on past trends in human behavior becoming obsolete.
		While some regard the singularity as a positive event and work to hasten its arrival, others view the singularity as dangerous, undesirable, or unlikely.
	sss.stanford.edu /overview/whatisthesingularity (644 words)

	PlanetMath: essential singularity
		is a removable singularity, a pole or an essential singularity.
		See Also: Laurent series, pole, removable singularity, Picard's theorem, Riemann's removable singularity theorem
		This is version 4 of essential singularity, born on 2003-03-28, modified 2003-04-03.
	planetmath.org /encyclopedia/EssentialSingularity.html (128 words)

	BBC - h2g2 - The Vingean Singularity - A569522
		Although the Singularity is sometimes referred to as the brainchild of Vinge, it was briefly mentioned in the 1950s by John von Neumann, as Raymond Kurzweil points out in his excellent book précis The Singularity is Near.
		This is a mathematical singularity, corresponding to the Singularity.
		The term 'singularity' (lower case 's') refers to singularities in general, such as mathematical singularities and the centre of a fl hole.
	www.bbc.co.uk /dna/h2g2/alabaster/A569522 (2010 words)

	The Coming Technological Singularity
		Von Neumann even uses the term singularity, though it appears he is thinking of normal progress, not the creation of superhuman intellect.
		In the coming of the Singularity, we are seeing the predictions of _true_ technological unemployment finally come true.
		The problem is not simply that the Singularity represents the passing of humankind from center stage, but that it contradicts our most deeply held notions of being.
	www-rohan.sdsu.edu /faculty/vinge/misc/singularity.html (5357 words)

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