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Topic: Manifold (disambiguation)

	Manifold - Biocrawler (Site not responding. Last check: 2007-11-03)
		In physics, manifolds serve as the phase space in classical mechanics and four-dimensional pseudo-Riemannian manifolds are used to model the spacetime in general relativity.
		A pseudo-Riemannian manifold is a variant of Riemannian manifold where the metric tensor is allowed to have an indefinite signature (as opposed to a positive-definite one).
		A Kähler manifold is a manifold which simultaneously carries a Riemannian structure, a symplectic structure, and a complex structure which are all compatible in some suitable sense.
	www.biocrawler.com /encyclopedia/Manifold (2485 words)

	Manifold (disambiguation) - Wikipedia, the free encyclopedia
		Manifold, an abstract mathematical space which, in a close-up view, resembles the spaces described by Euclidean geometry.
		Manifold (scuba), in a scuba set, connects two diving cylinders, allowing their contents to be accessed by either of two diving regulators.
		Manifold (magazine) and 2mainfold (magazine) are magazines of the Warwick University mathematical community.
	en.wikipedia.org /wiki/Manifold_(disambiguation) (182 words)

	Manifold - Wikipedia, the free encyclopedia
		Manifolds are important objects in mathematics and physics because they allow more complicated structures to be expressed and understood in terms of the relatively well-understood properties of simpler spaces.
		Manifolds need not be connected (all in "one piece"); thus a pair of separate circles is also a manifold.
		A finite cylinder is a manifold with boundary.
	en.wikipedia.org /wiki/Manifold (5752 words)

	Surface - Encyclopedia, History, Geography and Biography
		In mathematics (topology), a surface is a two-dimensional manifold.
		The Alexander horned sphere is an example of a surface with a topology that combines an ordinary smooth surface with a Cantor set.
		is called the interior of the manifold; it is always non-empty.The complement of the interior, is called the boundary; it is a (1)-manifold, or union of closed curves.
	www.arikah.net /encyclopedia/Surface (1035 words)

	FOLIATION : Encyclopedia Entry
		In mathematics, a foliation is a geometric device used to study manifolds.
		Informally speaking, a foliation is a kind of "clothing" worn on a manifold, cut from a stripy fabric.
		an n − p dimensional subbundle of the tangent bundle of a manifold) to be tangent to the leaves of a foliation, are that the set of vector fields tangent to the distribution are closed under Lie bracket.
	bahairesearch.com /LookUpDefinitions/Foliation (518 words)

	YourArt.com >> Encyclopedia >> spacetime (Site not responding. Last check: 2007-11-03)
		By combining the two concepts into a single manifold, physicists are able to significantly simplify the form of most physical laws, as well as describe the workings of the universe at both supergalactic and subatomic levels in a more uniform way.
		The concept of geodesics becomes critical in general relativity, since geodesic motion may be thought of as "pure motion" (inertial motion) in space-time, that is, free from any external influences.
		Second, for a manifold, the property of connectedness and path-connectedness are equivalent and one requires the existence of paths (in particular, geodesics) in the spacetime to represent the motion of particles and radiation.
	www.yourart.com /research/encyclopedia.cgi?subject=/spacetime (2618 words)

	CalendarHome.com - Spacetime - Calendar Encyclopedia
		By combining the two concepts into a single manifold, physicists are able to deal in a unified way with spacetimes which attempt to explain the workings of the universe at both supergalactic and subatomic levels.
		Secondly, for a manifold, the property of connectedness and path-connectedness are equivalent and one requires the existence of paths (in particular, geodesics) in the spacetime to represent the motion of particles and radiation.
		A compact manifold can be turned into a spacetime if, and only if, its Euler characteristic is 0.
	encyclopedia.calendarhome.com /Spacetime.htm (1788 words)

	Surface - the free encyclopedia (Site not responding. Last check: 2007-11-03)
		In mathematics, a surface is a two-dimensional manifold.
		In what follows, all surfaces are considered to be second-countable two dimensional manifolds.
		Algebraic surfaces over the complex number field have dimension 4 when considered as a manifold.
	www.encyclopedia-of-knowledge.com /?t=Surface (324 words)

	Spacetime - Free net encyclopedia (Site not responding. Last check: 2007-11-03)
		In physics, spacetime is a model that combines 3-D space and 1-D time into a single construct called the space-time continuum (in which time plays the role of the 4th dimension).
		Treating space and time on the same footing and as two aspects of a unified whole was devised by Hermann Minkowski shortly after the theory of special relativity was developed by Albert Einstein.
		For physical reasons, a space-time continuum is mathematically defined as a four-dimensional, smooth, connected pseudo-Riemannian manifold together with a smooth, Lorentz metric of signature $\left(3,1\right)$ .
	www.netipedia.com /index.php/Space-time (1943 words)

	Hydraulic Manifolds (Site not responding. Last check: 2007-11-03)
		In mathematics, a manifold M is a type of space, characterised in one of two equivalent ways:
		Lagrangian mechanics and Hamiltonian mechanics, when considered geometrically, were also naturally manifold theories, with aconcept of generalized coordinates.
		It is also possible and very usefulto describe a manifold from the point of view of an outside observer.
	www.witchware.com /File/41048-Hydraulic.Manifolds.Html (501 words)

	Header (disambiguation) - Wikipedia, the free encyclopedia (Site not responding. Last check: 2007-11-03)
		Header in automotive engineering is synonymous with manifold.
		Header in soccer is a use of the player's head to deflect the ball.
		This is a disambiguation page; that is, one that points to other pages that might otherwise have the same name.
	www.encyclopedia-online.info /Header (119 words)

	Spacetime (Site not responding. Last check: 2007-11-03)
		Events with a positive spacetime interval are in each other's future or past, and the value of the interval defines the proper time measured by an observer travelling between them.
		In contrast, General Relativity says that the underlying manifold will not be flat, if gravity is present, and thus it calls for the use of spacetime rather than Minkowski space.
		In mathematical physics it is also usual to restrict the manifold to be connected and Hausdorff.
	www.33beat.com /Spacetime.html (840 words)

	2.1 Properties of admissable interpolating functions (Site not responding. Last check: 2007-11-03)
		We form a graph from the surface patches of a manifold where the nodes of the graph are the patches, and the edges connect intersecting patches.
		Proof: A connected component of hits is contained in a single manifold M by the definition of hit adjacency and the connectivity of M.
		This manifold is unique, since by property 1 the manifolds are pairwise disjoint.
	www.casi.net /D.DMT/D.CurrentThinking/words/node3.html (1620 words)

	6.4.3 Critical 4-hit faces defined. (Site not responding. Last check: 2007-11-03)
		We see in figure 33 through figure 35, that no topological change occurs at the disambiguation value, while in figure 36 through figure 39 a distinct handle is formed in the cubes.
		In figure 36 through figure 39, the Highs are not connected through the bottom cube or the top cube above the disambiguation value, and in each case a distinct connection is formed at the disambiguation value.
		Thus the shared face is not a critical 4-hit face in figure 33 through figure 35, but is a critical 4-hit face in figure 36 through figure 39.
	www.casi.net /D.DMT/D.Overview/AcademicPressPaper14-00/node16.html (592 words)

	LINGUIST List 14.2534: Computational Ling: Ravin & Leacock (2002)
		Also discussed is the role of context in sense disambiguation, as well as the various underlying (formal as well as cognitive semantic) theories of meaning and computational practices for word sense disambiguation.
		A drawback of the NSM approach seems to be that meaning is treated as a tractable phenomenon and hence it is considered ''accessible, concrete, and determinate'', a perception that classical meaning typologies have repeatedly failed to prove true.
		Computational systems and theories that incorporate disambiguation efforts as part of the set of their offering tool-set are usually more successful for this reason.
	www.ling.ed.ac.uk /linguist/issues/14/14-2534.html (2814 words)

	Surface - Biocrawler (Site not responding. Last check: 2007-11-03)
		For the nature of real surfaces see surface tension, surface chemistry, surface energy.
		is called the interior of the manifold; it is always non-empty.
		The complement of the interior, is called the boundary; it is a (1)-manifold, or union of closed curves.
	www.biocrawler.com /encyclopedia/Surface (734 words)

	Hinduism - the free encyclopedia (Site not responding. Last check: 2007-11-03)
		This article is about the Hindu religion; for other meanings of the word, see Hindu (disambiguation).
		Aum (ॐ) is the standard sign of Hinduism, and is prefixed and sometimes suffixed to all Hindumantras and prayers.
		It contains an enormous and diverse amount of symbolism; Hindusconsider its sound and vibration to be the divine representation of existence, encompassing all of manifold nature into the Oneeternal truth. ; see Aum for more detail.
	www.encyclopedia-of-knowledge.com /?t=Hindu (5444 words)

	YourArt.com >> Encyclopedia >> manifold (Site not responding. Last check: 2007-11-03)
		A finite cylinder may be constructed as a manifold by starting with a strip R × [0, 1] and gluing a pair of opposite edges on the boundary by a suitable diffeomorphism.
		A Riemannian manifold is an analytic manifold in which each tangent space is equipped with an inner product ⟨, ⟩ in a manner which varies smoothly from point to point.
		Given two tangent vectors u and v the inner product ⟨u,v⟩ gives a real number.
	www.yourart.com /research/encyclopedia.cgi?subject=/manifold (5606 words)

	Honda Civic Exhaust Manifold (Site not responding. Last check: 2007-11-03)
		1) " Honda" -- In the context of Honda Civic Exhaust Manifold
		2) " Civic" -- In the context of Honda Civic Exhaust Manifold
		4) " Manifold" -- In the context of Honda Civic Exhaust Manifold
	www.cabaret-54.com /dust37975-hondacivicexhaustmanifold.html (747 words)

	Disambiguation Blog: On the Shared Event of the Kiss (Site not responding. Last check: 2007-11-03)
		One thing that has bugged me about Deleuze's book The Logic of Sense and Paul Patton's excellent essay on Deleuze's conception of the event is the example of 'being cut' that both use to explain the incorporeal nature of the event.
		There is the temporality of events consisting of the present instant of actuality and the temporal manifold of the future-past virtuality.
		There is the scale of events and their monadal relation to the world, Deleuze makes this point by asking the question, 'which war is not a private affair?'
	glenfuller.blogspot.com /2005/05/on-shared-event-of-kiss.html (2345 words)

	Curve (Site not responding. Last check: 2007-11-03)
		If X is a differentiable manifold, then we can define the notion of differentiable curve in X.
		On the other hand it is useful to be more general, in that (for example) it is possible to define the tangent vectors to X by means of this notion of curve.
		manifold (i.e., a manifold whose charts are k times continuously differentiable), then a C
	www.info-pedia.net /about/curve (1252 words)

	: Worm Hole, review at WorldSSP.net (Site not responding. Last check: 2007-11-03)
		feature of spacetime In special relativity and general relativity, time and three-dimensional space are treated together as a single four-dimensional manifold called spacetime (alternatively, space-time).
		that is essentially a "shortcut" from one point in the universe Alternate uses: See Universe (disambiguation)...
		WORM HOLES Worm Holes are the hypothetical theoretical connection between a fl hole and a white hole.
	www.worldssp.net /webinfo_m.asp?proid=17859 (985 words)

	O B L I Q U I T Y » Blog Archive » Dissing Disambiguation
		In that case a figure-eight cannot be stretched into a circle without tearing the original shape.
		While this is a very simplified and primary introduction to topology, the topological objects that are studied vary from the simple manifold (e.g., a sphere, a torus) to some really exotic and mindbending constructions.
		Perhaps one of the most well-known fiber bundles (a space which looks like a product of two spaces but may possess a different global structure) studied in topology is the famed Möbius strip.
	www.obliquity65.com /?p=757 (917 words)

	Disambiguation Blog: June 2005 (Site not responding. Last check: 2007-11-03)
		He argued that the 'smooth' space of dandg is exactly the Riemann manifold of localised fields of 'striated' linear/Cartesian space-time.
		The manifold is not a space within which these fields emerge, rather the manifold is an assemblage of such fields.
		Movement within smooth space is from one field to another and from what I gathered Arkady was arguing this does not involve the transformation of the striations of already existing fields.
	glenfuller.blogspot.com /2005_06_01_glenfuller_archive.html (10596 words)

	Wilson Manifolds
		1) " Wilson" -- In the context of Wilson Manifolds
		2) " Manifolds" -- In the context of Wilson Manifolds
		For example if a fly is crawling on an orange, we can watchthis from outside in three-dimensional space, http:/.
	www.lottery-news.net /dust43067-wilson_manifolds.html (469 words)

	User talk:Gflores - Wikipedia, the free encyclopedia (Site not responding. Last check: 2007-11-03)
		For example, on Amiga (disambiguation), you would remove record label, 1994, etc on the last line.
		Hi, looks like someone beat you to it, as a total of 13 main space articles link to hip hop, and most of them are redirects.
		Hi Gflores, I notice you did a significant cleanup of the Manifold (disambiguation) page.
	tramadol.tfres.net /wiki/User_talk:Gflores (4544 words)

	Boundary : search word
		For the boundary of a set in a topology, see: Boundary (topology).
		As a psychological term, boundary can mean a mental separation which we keep between ourselves and others.
		Sometimes this can be referred to as personal space.
	www.searchword.org /bo/boundary.html (329 words)

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