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	Uniform space - Wikipedia, the free encyclopedia
		Uniform spaces are topological spaces with additional structure which is used to define uniform properties such as completeness, uniform continuity and uniform convergence.
		Uniform spaces may be defined alternatively and equivalently using systems of pseudometrics, an approach which is often useful in functional analysis.
		Every uniform space is a completely regular topological space, and conversely, every completely regular space can be turned into a uniform space (often in many ways) so that the induced topology coincides with the given one.
	en.wikipedia.org /wiki/Uniform_space (1495 words)

	Discrete space - Wikipedia, the free encyclopedia
		The underlying uniformity on a discrete metric space is the discrete uniformity, and the underlying topology on a discrete uniform space is the discrete topology.
		That is, the discrete space X is free on the set X in the category of topological spaces and continuous maps or in the category of uniform spaces and uniformly continuous maps.
		However, the discrete metric space is free in the category of bounded metric spaces and Lipschitz continuous maps, and it is free in the category of metric spaces bounded by 1 and short maps.
	en.wikipedia.org /wiki/Discrete_space (1058 words)

	PlanetMath: uniform space
		Every uniform space can be considered a topological space with a natural topology induced by uniform structure.
		It follows that uniform spaces are the most natural environment for uniformly continuous functions and Cauchy sequences, in which these concepts are naturally envolved.
		This is version 4 of uniform space, born on 2002-06-10, modified 2003-02-07.
	planetmath.org /encyclopedia/UniformSpace.html (165 words)

	Uniform space (Site not responding. Last check: 2007-10-05)
		Uniform spaces may be defined alternatively and equivalently using systems of pseudo-metrics, an approach which is often useful in functional analysis.
		Every uniform space X becomes a topological space by defining a subset O of X to be open if and only if for every x in O there exists an entourage V such that { y in X : (x, y) in V } is a subset of O.
		This uniform structure on G is called the right uniformity on G, because for every a in G, the right multiplication x -> xa is uniformly continuous with respect to this uniform* structure.
	usapedia.com /u/uniform-space.html (620 words)

	Space article - Space Physics Region Mathematics Psychology Orthography Computers - What-Means.com (Site not responding. Last check: 2007-10-05)
		In some orthographies, a space is a blank area that serves as punctuation to provide interword separation.
		The memory space of a computer is often thought as a one dimensional array of memory cells.
		The Space character (ASCII value 32) is used as the blank separating words (same as Orthographic space), and corresponds to the spacebar on the keyboard.
	www.what-means.com /encyclopedia/Space (423 words)

	Uniforms To You (Site not responding. Last check: 2007-10-05)
		A uniform is a set of standard clothing worn by members of an organisation whilst participating in that organisation's activity.
		Modern uniforms are worn by armed forces and paramilitary organisations such as police, emergency services, security guards, in some workplaces and schools, and by inmates in prisons.
		Sometimes other workers wear uniforms or corporate clothing of one nature or another, including but not limited to shop workers, workers in banks and for the post office, workers for airlines and holiday operators, and workers in bars, restaurants and hotels.
	www.blownspeakers.com /pages3/91/uniforms-to-you.html (1099 words)

	[No title]
		This original definition of uniform structures, first published by A. Weil [12] in 1937, requires the existence of a sufficient number of pseudometrics (a requirement that is not always easy to verify).
		The axioms for a uniform space are stated and explicated in Chapter 2.
		The approach used here is to define a special class of locally compact uniform spaces which the author calls isogeneous uniform spaces and then to show that such a uniform space is the uniform quotient of its locally compact group of uniform homeomorphisms.
	at.yorku.ca /t/o/p/c/23.txt (1398 words)

	Multidimensional Glossary
		It corresponds to a uniform isochoric polychoron in the rox regiment whose cells are 120 identical small rhombidodekahedra (in a small rhombidodekahedron, the faces are the 30 squares of a rhombicosidodecahedron together with twelve decagons; its vertex figure is the butterfly quadrilateral).
		A hyperplane in a point is the empty space; a hyperplane in a line is a point; a hyperplane in a plane is a line; a hyperplane in a realm is a plane; a hyperplane in a tetrealm is a realm; and so on.
		The vertex figures of the uniform polychora in the ico regiment are all facetings of the cube.
	members.aol.com /Polycell/glossary.html (16079 words)

	Space and Time: Inertial Frames
		When bodies are enclosed in a given space, their motions in relation to one another are the same whether the space is at rest or whether it is moving uniformly straight forward without circular motion.
		Ernst Mach (1883) claimed that the law of inertia, and Newton's laws generally, implicitly appeal to the fixed stars as a spatial reference-frame, and to the rotation of the earth as a time-scale; at least, he held, such is the basis for any genuine empirical content that the laws have.
		The lack of a privileged spatial frame, combined with the obvious existence of privileged states of motion — paths defined as rectilinear in space and uniform with respect to time — suggests that the geometrical situation ought to be regarded from a four-dimensional spatiotemporal point of view.
	plato.stanford.edu /entries/spacetime-iframes (8696 words)

	[No title]
		With respect to the formation of function spaces, these spaces are not better behaved than uniform spaces, in other words: They do not form a cartesian closed topological category.
		The category Conv of convergence spaces (and uniformly continuous maps) is isomorphic to the category KConvs of symmetric Kent convergence spaces (and continuous maps); it is a bicoreflective subcategory of SUConv (cf.
		[2] Behling, A.: 1992, Einbettung uniformer Räume in topologische Universen, Thesis, Free University, Berlin.
	www.mathematik.uni-osnabrueck.de /projects/carmen/AP11/test/file14.html (3798 words)

	Collision detection between moving objects using uniform space subdivision
		The space has to be limited in a way to assure that none of the objects would fall out of it later after performing geometric transformations on objects.
		The space subdivision is used to accelerate the algorithm by reducing the number of pairs that have to be tested.
		The space is subdivided into cells, and only the pairs of triangles, which belong to two different object and at least partially lie in the same cell, have to be tested.
	www.cg.tuwien.ac.at /studentwork/CESCG/CESCG-2001/SSinjur (4138 words)

	stats7-2notes (Site not responding. Last check: 2007-10-05)
		Definition: In an uniform sample space consisting of n sample points, we assign the probability of 1/n to each of the simple events.
		Procedure for finding the probability of an event E in a uniform sample space S: Example: A coin is flipped three times.
		We can make it a uniform sample space, by recording each of the outcomes as an ordered pair (a, b), where a is the upper face of the first die and b is the upper face of the second die.
	www2.ops.org /NORTH/curriculum/math/holley/statshtml/stats7-2notes.html (275 words)

	Critiques and Validation of Uniform expansion theory - Bad Astronomy and Universe Today Forum
		Critiques and Validation(s) of the theory of a Uniform expansion of space-time.
		As part of the original presentation of the uniform expansion of space it was previously shown that celestial stability was preserved www.uniformexpansion.com.
		Physicist John Wheeler, (who was quoted earlier regarding the problem of a uniform expansion of space-time) states that "Matter tells space how to curve, and space tells matter how to move." The distinction between a field relationship to a curving of space-time is subtle but important for developing the concepts of general relativity.
	www.bautforum.com /showthread.php?t=9053 (4635 words)

	[No title]
		The new coordinates for the new space are denoted as J’, a’, and b’.
		Thus the new space is denoted by J’a’b’.
		PERFORMANCE OF THE NEW COLOUR SPACE The uniformity performances of the J’a’b’ space together with those of CAM97s2, IPT and CIELAB spaces were tested based on the generalized colour difference formula as Equation (4).
	www.colour.org /tc8-01/Li-final.doc (1167 words)

	Welcome To The Retro Future
		Ever since the original seven Mercury astronauts donned their bulky, silver spacesuits in the early 1960s, the image of space travel had created a set of icons for pop culture.
		It was only a matter of time before space motifs became a pop statement, the kind of stylistic device favored in fashion circles.
		In theory, identical uniforms eliminate the outward appearance of power structure and social standing (one reason they are riding a wave of renewed popularity in school systems) by erasing, rather than reinforcing, notions of hierarchies.
	www.retrofuture.com /uniform.html (608 words)

	Uniform Space Subdivision
		Glassner (1984) have suggested nonuniform space subdivision (voxels are of different sizes), adapting to the number of objects in voxel.
		Fujimoto and Iwata (1985) have described uniform space subdivision algorithm and a fast algorithm for traversing such voxel space.
		On the one hand, the cost of traversing is significantly less then for non- uniform space, but it is more to traverse in fact.
	www.cs.technion.ac.il /~cs236373/Classes/1999/ex6/ex6.html (1463 words)

	Dating the Uniforms - Wing Commander CIC Forums
		The space force uniform was dark blue with fl pipping and the marine uniform was brown with fl pipping.
		The naval uniform was sky blue with a closed collar, the space force uniform was dark blue (navy blue) with an open collar.
		The Terran Confederation Space Force is a direct analogy to the United States Air Force (or more properly to the United States Army Air Force, as the Army and Navy had their own subordinate air forces during WWII, which were spun off into the USAF under President Truman in the late 1940s).
	www.crius.net /zone/showthread.php?t=18849 (2988 words)

	Roaring Rockets - 1998 Cosmic Correspondence Archive
		Regarding the color of the Space Patrol uniforms, the men's were orangish-red and green, Tonga's was green and grey, Carol's was red and white.
		Adding to the confusion, the uniforms worn by the cast in personal appearances were spares--- so that the wardrobe uniforms worn on the TV shows could be kept clean--- and these spare uniforms often differed from the TV uniforms, not only in color and cut, but even in overall design.
		The space helmet and suit Thom had is of course the famous Space Patrol helmet and suit, with the crazy inflatable blue vinyl.
	www.slick-net.com /space/dispatch/98archive.phtml (5318 words)

	AIM: Perceptionally Uniform Gamma-space
		This page provides charts for evaluating the perceptionally uniform gamma space, an issue that is largely misunderstood.
		When this graph is viewed in a steep gamma space like 1.8 to 2.5 then in the fl-end there is a large group of levels that all appear the same for the eye, pure fl and the mid-tones as well as the highlights are very coarse.
		Contrast in the white-end is not affected much by this change, in the fl-end we now can discern the contrast a little better, but there still are nabt circles where the contrast between is either invisible or weak.
	www.aim-dtp.net /aim/evaluation/perception/perception.htm (794 words)

	Space Forum - Jan 25 1998
		In, I have a pair of Tom Corbett binoculars where Tom is wearing a RED uniform in the drawing on the decals on the binoculars.
		Part of Jan's letter states: "....the uniforms worn in the show were predominantly pale slate blue and grey....the darker part of the uniform was a of a deeper blue color....
		Two dedicated Space Patrol collectors, one of them Andy Anderson, finally located Ricky's prize ship in the front of a construction company in Gent, New York, where it was a sort of advertising prop, and in really poor condition.
	www.solarguard.com /sf12598.htm (3753 words)

	Imaging On-Line Store
		A uniform color space has, according to various litera-ture, two definitions: (1) a global uniform color space is a space in which perceptional color difference agrees with the Euclidean distance; (2) a local uniform color space is a space in which discrimination elliptics/ ellipsoids are unit circles/ spheres everywhere.
		In this paper, we discuss the issue from a point of view of global Riemannian geometry and show that these two uniform color spaces are actually equivalent.
		Giving perceptive metric in a color space, an efficient algorithm is shown to construct a “pollar coordinate system” for the color space, which is the image of the pollar coordinate system in its uniform space.
	www.imaging.org /store/epub.cfm?abstrid=30177 (287 words)

	Cognitive navigation based on non-uniform Gabor space sampling, unsupervised growing networks, and reinforcement ...
		A state space representation is constructed by unsupervised Hebbian learning during exploration.
		As a result of learning, a representation of the continuous two-dimensional (2-D) manifold in the high-dimensional input space is found.
		This space coding is comparable to the representation provided by hippocampal place cells in rats.
	www.csl.sony.fr /General/Publications/BibliographyItem.php?reference=arleo:04a (240 words)

	Nostradamus - The Prophecies - Space Time Continuum Matrix :o [:)s][8)][:)][Amaze][8-)] Discussion Forum
		SPACE x I run tyro AI Magician space n=space magician utopian n_space utmost nspace numerous I tyro n(space) numerical n~space own Called space* n-space ever magician I Tyro space n+space ever called AI pythian Syzygies N=SPACE.
		SPACE xanthium n(space) iwis review true attitude Mind space n~space mythos utility utensil nucleus infinite test nature operate Call space n-space extensive myriad is Treasure space n+space express curriculum attest personality Serpent N=SPACE.
		SPACE xanthium nspace iwis review true attitude Mind space* n(space) mythos utility utensil nucleus infinite test nature operate Call space n~space express muse infinite Test space n-space explore culture are perpetual Sacred N+SPACE.
	www.nostramusic.com /phorum/read.php?f=2&t=328&a=1 (1170 words)

	доц. д-р Васил Георгиев Ангеловt
		ANGELOV V. - An extension of Edelstein's theorem to a uniform spaces.
		ANGELOV V. - On a A. Ivanov's Theorem in a uniform space.
		ANGELOV V. - Uniform asymptotic stability and contractive semigroups of mappings in uniform spaces.
	www.mgu.bg /drugi/pages/angelov/index2.html (1384 words)

	Stiffness and Strength Tailoring in Uniform Space-Filling Truss Structures (ResearchIndex) (Site not responding. Last check: 2007-10-05)
		Abstract: This paper presents a deterministic procedure for tailoring the continuum stiffness and strength of uniform space-filling truss structures through the appropriate selection of truss geometry and member sizes (i.e., flexural and axial stiffnesses and length).
		The trusses considered herein are generated by uniform replication of a characteristic truss cell.
		The repeating cells are categorized by one of a set of possible geometric symmetry groups derived using crystallographic techniques.
	citeseer.ist.psu.edu /lake92stiffness.html (324 words)

	LMS JCM (6) 326-334 (Site not responding. Last check: 2007-10-05)
		Abstract: It is proved, within the constructive theory of apartness spaces, that a strongly continuous mapping from a totally bounded uniform space with a countable base of entourages to a uniform space is uniformly continuous.
		This lifts a result of Ishihara and Schuster from metric to uniform apartness spaces.
		The paper is part of a systematic development of computable topology using apartness as the fundamental notion.
	www.lms.ac.uk /jcm/6/lms2002-007 (104 words)

	AIM: What is Wrong with the CIE Lab Specification
		The problem with the CIE Lab is that it is nowhere near perceptually uniform color space.
		Because it is said that the CIE Lab color-space would be a perceptually uniform color-space then the Euclidean distance between two colors in this space would be a perceptually uniform measure for color-difference.
		The L* is quite close to the transfer-function of the native CRT monitor so in the early days of color-management it was convenient to claim that the L* would be perceptually uniform, that way no special attention was needed in order to take the transfer-function of the native CRT (gamma 1/2.5) into account.
	www.aim-dtp.net /aim/evaluation/cie_lab (1030 words)

	Umberto Marconi (Site not responding. Last check: 2007-10-05)
		Some conditions under which a uniform space is fine
		It is shown that if every open covering, of power at most $\mu $, is uniform, then $X$ is fine.
		Furthermore, an $\omega _\mu $-metric space is fine, provided that every finite open covering is uniform.
	www.univie.ac.at /EMIS/journals/CMUC/cmuc9303/abs/marconi.htm (82 words)

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