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	Tychonoff space - Wikipedia, the free encyclopedia
		In topology and related branches of mathematics, Tychonoff spaces and completely regular spaces are particularly nice kinds of topological spaces.
		X is a completely regular space if and only if, given any closed set F and any point x that does not belong to F, there is a continuous function f from X to the real line R such that f(x) is 0 and f(y) is 1 for every y in F.
		Completely regular spaces and Tychonoff spaces are related through the notion of Kolmogorov equivalence.
	en.wikipedia.org /wiki/Tychonoff_space (629 words)

	Regular space - Wikipedia, the free encyclopedia
		Most topological spaces studied in mathematical analysis are regular; in fact, they are usually completely regular, which is a stronger condition.
		Regular spaces should also be contrasted with normal spaces.
		On the other hand, spaces that are regular but not completely regular, or preregular but not regular, are usually constructed only to provide counterexamples to conjectures, showing the boundaries of possible theorems.
	en.wikipedia.org /wiki/Regular_space (948 words)

	Regular space
		spaces are particularly nice kinds of topological spaces.
		X is a regular space iff, given any closed set F and any point x that does not belong to F, there are a neighbourhood U of x and a neighbourhood V of F that are disjoint.
		Suppose that A is a set in a topological space X and f is a continuous function from A to a regular space Y.
	www.ebroadcast.com.au /lookup/encyclopedia/t3/T3_space.html (917 words)

	PlanetMath: Hausdorff space
		space is also known as a Hausdorff space.
		Important examples of Hausdorff spaces are metric spaces, manifolds, and topological vector spaces.
		This is version 17 of Hausdorff space, born on 2002-02-08, modified 2006-04-15.
	planetmath.org /encyclopedia/T2Space.html (292 words)

	T3 Machine Model
		Since each new version is a complete superset of previous versions, an image file that requires an older version of a metaclass will be able to use an implementation of that version or any later version with complete transparency.
		The T3 VM is designed to be independent of the source language used to prepare user code, and is also meant to be independent of the host application and operating environment.
		T3 notifies an object via its "finalizer" method; this is a special method that the VM invokes directly.
	www.tads.org /t3spec/model.htm (17310 words)

	philosophy \| john bigelow \| work in progress (Site not responding. Last check: 2007-10-23)
		But when the things in a space go out of that space, the space remains, and the space is the same as it was before the things entered into it.
		When space "shakes", the elements are caused to move; and when the elements move, this sometimes causes there to be "disruptions" in space itself.
		Khora, I say, is a discrete space: yet this is manifestly not beyond the reaches of logic and language, as is made unescapably apparent by a close reading of the text, particularly where it concerns the triangles which are to be imposed on khora.
	www.arts.monash.edu.au /phil/department/bigelow/space.html (12192 words)

	Compare Prices and Read Reviews on Palm Tungsten T3 Handheld at Epinions.com (Site not responding. Last check: 2007-10-23)
		Physically, the T3 is a bit longer and thinner than the T although the difference in size won't really make a difference except in terms of case accessories.
		The bottom of the T3 has the same Palm Universal Connector has what's on the T so at least the cradle is interchangeable as well as the USB to Palm connector cable I bought for the T. So at least that's one less accessory I need to buy again.
		The sides of the T3 are also missing the notches that the T had where the clear plastic cover that came with the T would latch on to.
	www.epinions.com /content_116011077252 (1666 words)

	FAH Excerpt: Separation (Site not responding. Last check: 2007-10-23)
		The two entries in each row of the chart are closely related: a space satisfies the condition in the left column if and only if the space is Kolmogorov and satisfies the condition in the right column in the same row.
		spaces, but the abstract theory can be developed more clearly if we classify properties according to the various axioms in the chart.
		space'', and ``completely regular Hausdorff space'' are used interchangeably in the literature; they all describe the same thing.
	www.math.vanderbilt.edu /~schectex/ccc/excerpts/separat.html (481 words)

	PlanetMath: regular space
		Definition 1 A topological space is a regular space if it is both a
		See Also: separation axioms, T0 space, Hausdorff space, T3 space, Hausdorff space not completely Hausdorff, T1 space
		This is version 8 of regular space, born on 2002-02-08, modified 2005-03-26.
	planetmath.org /encyclopedia/RegularSpace.html (145 words)

	T3 VM Image File Format
		The timestamp mechanism is not completely safe, because it would be possible to compile two separate image files with the same timestamp value, but the timestamp vastly reduces the likelihood of accidentally confusing one program's saved state files for another program's.
		The T3 image file may thus be embedded into a larger file structure (a resource file format, for example), or may contain additional data appended to the end of the file; the loader considers any data that follow the EOF block to be part of some external structure and not part of the image file.
		The Entrypoint block specifies the address of the beginning of the executable code of the image, and the sizes of various data structures that are global to the file: the method header size, the exception table entry size, and the debugger line record entry size.
	www.tads.org /t3spec/format.htm (7938 words)

	PA-T3 and PA-2T3 Serial Port Adapters Feature Module
		The T3 port adapters can transmit and receive data at T3 rates of up to 45 Mbps and use a 75-ohm coaxial cable available from Cisco to connect to a serial T3 network.
		T3 scrambling is used to assist clock recovery on the receiving end.
		Load on the interface as a fraction of 255 (255/255 is completely saturated), calculated as an exponential average over 5 minutes.
	www.cisco.com /univercd/cc/td/doc/product/software/ios111/ca111/pat3.htm (3282 words)

	Topology/Separation Axioms - Wikibooks, collection of open-content textbooks
		We can then ask questions such as "can we separate any two distinct points in the space by enclosing them in two disjoint open sets?" For the real line with its usual topology, the answer is obviously yes, but there are spaces for which this is not so.
		A topological space is completely normal if and only if every subspace is normal.
		It is instructive to build up a series of spaces, such that each member belongs to one class, but not the next.
	en.wikibooks.org /wiki/Separation_Axioms (622 words)

	Separation Axioms (Site not responding. Last check: 2007-10-23)
		space if for every point a and closed set B there exist disjoint open sets which separately contain a and B. That is, points and closed sets are separated.
		The Zariski topology on a vector space (whose closed sets are the intersections of zeroes of polynomials on the coordinates of the vector space) is T
		space if for every pair of closed sets A and B there exist disjoint open sets which separately contain A and B. That is, points and closed sets are separated.
	www.math.toronto.edu /jjchew/math/topology/separation.html (355 words)

	PA-MC-T3 Multi-Channel T3 Synchronous Serial Port Adapter
		The PA-MC-T3 Multi-Channel T3 port adapter is available on Cisco 7200 series routers, on second-generation Versatile Interface Processor (VIP2) in Cisco 7500 series routers, and on Cisco 7000 series routers with the 7000 Series Route Switch Processor (RSP) and 7000 Series Chassis Interface (RSP).
		This port adapter divides the T3 signal stream into 28 T1 lines that can be further divided into the 64 kbps level, up to a total of 128 channels.
		If you use the show controllers t3 command without specifying a port address (slot/port-adapter/port/t1-line) or either of the two optional arguments (brief or tabular), all information is displayed for the T3 controller you specified; therefore, the resulting display output can be extensive.
	www.cisco.com /univercd/cc/td/doc/product/software/ios111/cc111/pamct3.htm (6332 words)

	Thinkquest Space Exploration Unit plan (Site not responding. Last check: 2007-10-23)
		At this point, the students have concluded their exploration out into space and will address the other NASA members about their findings, discoveries, and their new ship design that was used for the mission.
		Boxes may include different themes other than space to show the true essence of explorers is to learn more and to true explore the unknown world.
		First, a space ship must be created to serve their purpose.
	t3.preservice.org /T0401299/solar.htm (3839 words)

	Separation axioms
		In a Hausdorff space, distinct points are "housed off" from one another by open sets.
		space with a countable basis is metrisable (that is, the topology may be obtained from a metric).
		Marshall Stone (1903 to 1989) and R H Bing (1914 to 1986) found a necessary and sufficient condition for metrisability in 1950.
	www-history.mcs.st-and.ac.uk /~john/MT4522/Lectures/L18.html (481 words)

	another object space vs. tangent space question - GameDev.Net Discussion Forums
		Posted - 1/14/2005 9:38:55 AM In Vertex space the normal map assume a very low spatial frequence so the compression of the texture is more easier (in fact if you see the color of the normal map it is very similar from one pixel to another).
		In t3 is a cube map with a function that returns a specular value for R. This would require a seperate specular pass but may be this gives better results.
		Object spaced bump mapping is used in alot of applications, because in some cases it is easier.
	www.gamedev.net /community/forums/viewreply.asp?ID=1861903 (4481 words)

	Previous Visiting Faculty
		The s include peredbation theory for line operators in locally convex spaces, topological algebras, spectral synthesis in hypergroups, multipliers and module homomorphisms, semigroup algebras,James space and algebras, multiplicative linear functionals on operator algebras, completely positive maps and hypergroup actions.Some of these papers are joint with her students or with other mathematicians.
		The subject matter of her dissertation was spaces of continuous functions with the topology of pointwise convergence.
		She also proved that any compact Maltsev space is a retract of a topological group and constructed (jointly with P.M.Gartside and E.A.Reznichenko) the first example of a Maltsev space that is not a retract of a topological group.
	www.math.ohiou.edu /~lopez/priorvst.html (2358 words)

	PalmInfocenter.com - Print Story (6073)
		The Tungsten T3 packs a brilliant 320x480 screen, a 400mhz Intel XScale processor and 64MB of RAM in a compact and functional design.
		Across the top is the charing LED (now flush with the casing and rattle free), the Tungsten T3 logo, a protruding translucent Palm logo bubble, and a 3x5 grid of holes for the internal speaker (the TT&T2 have a 2.5 grid).
		While the T3 shares a number of similarities with the TT there are some minor outward differences.
	www.palminfocenter.com /print.asp?ID=6073 (3670 words)

	Hausdorff and Other Separation Axioms for Topological Spaces (Site not responding. Last check: 2007-10-23)
		The fully general, abstract topological spaces (S,T), where S is a set and T is a collection of subsets of S that is closed under arbitrary unions and finite intersections and includes both the null set ∅ and the whole set S, is of limited interest.
		(Hausdorff Space Axiom): For any two points p and q in the topological space (S,T) there is a pair of disjoint open sets, one containing {p} and not containgin {q} and the other containing {q} and not {p}.
		(Regular Space Axiom): For any closed set C in the topological space (S,T) and any point p not in C there is a pair of disjoint open sets, one containing C and one containing {p}.
	www.applet-magic.com /separation.htm (285 words)

	TPS: Saturn's moon Titan (Site not responding. Last check: 2007-10-23)
		In the 1990s, scientists were able to use infrared cameras on the Hubble Space Telescope to look past the clouds to the surface.
		Titan's atmosphere is completely opaque in ultraviolet light in this image from October 25, 2004.
		This is the entire RADAR swath across northern Titan captured on the T3 flyby.
	www.planetary.org /saturn/titan-images.html (2451 words)

	Springer Online Reference Works
		A condition imposed on a topological space, expressing the requirement that some disjoint (i.e.
		However, Urysohn's lemma holds: In a normal space, every two disjoint closed sets are functionally separable.
		A space in which every point is functionally separable from every closed set not containing it is called completely regular (cf.
	eom.springer.de /s/s084520.htm (262 words)

	Welcome to Digital Photo Studio (Site not responding. Last check: 2007-10-23)
		A version of this camera was recently used to capture images on board the space shuttle Atlantis in its joint mission with Russia's Mir space station.
		The T3 was designed for photographers working on location or involved in fast-paced fashion photography.
		Sinarback could be attached to medium format cameras, or to the Sinarcam 2 where it marked up a 'first' in professional digital cameras: the first time that a complete digital camera system (front and back) has been made by one manufacturer.
	www.ohiou.edu /~unirel/taeil/digital/history_dcam.html (2042 words)

	Robotic Freedom, by Marshall Brain
		Robots will be moving in to make the completely automated retail store a reality in a 2020 time frame.
		If we sold that ad space (along with all the ad space on the backs of $5, $10, $20 and $50 bills) at the going rate for advertising, it could generate something like $5 billion to $10 billion per year in revenue.
		Since this ad space belongs to "We, The People", the ad revenue would get divided equally among all the citizens of the United States and everyone would get a check for something like $25 per year.
	www.marshallbrain.com /robotic-freedom.htm (8253 words)

	T-106.270: Ohjelmoinnin peruskurssi T3, kevät 2003. C++ vs. Java (Site not responding. Last check: 2007-10-23)
		Memory for values of primitive types may be reserved from stack, but this is completely invisible to the program.
		The first phase in the compilation runs the preprocessor, which may include other files into the source file, omit parts of the input based on the directives, and expand macro calls by their definitions.
		Definitions from other packages may be imported into a source file or they may be used by their fully qualified name.
	www.cs.hut.fi /~enu/T3/Luennot/Luento4/java-vs-cpp.html (1615 words)

	Proper Time [Internet Encyclopedia of Philosophy]
		We can define alternative, non-Cartesian, coordinate systems for Euclidean space; for instance, cylindrical and spherical coordinate systems are very useful in physics, and they use mixtures of linear or radial distance, and angles, as the numbers to specify points of space.
		In these diagrams, the space axes represent points which are measured to have the same time coordinates, and similarly, the time axes represent points which are measured to have the same space coordinates.
		The spacing of the x’ coordinates is the same as the x coordinates, which means that relative distances between points are not affected.
	www.iep.utm.edu /ancillaries/Proper-Time.htm (9520 words)

	spoIVH (ykvV), a Requisite Cortex Formation Gene, Is Expressed in Both Sporulating Compartments of Bacillus subtilis -- ...
		the completion of the engulfment of the forespore by the mother
		The complete genome sequence of the gram-positive bacterium Bacillus subtilis.
		Development of a two-part transcription probe to determine the completeness of temporal and spatial compartmentalization of gene expression during bacterial development.
	jb.asm.org /cgi/content/full/186/16/5450 (4927 words)

	The Dimensions of Context-Space
		There are a dozen mostly-independent dimensions along which contexts vary; conversely, each region of that 12-dimensional space implicitly defines a context.
		In effect that space is the space of assumptions, and each assertion can be thought to hold true in some region of that space.
		There is also some finer structure associated with the content of a context, such as whether the assertion holds somewhere in (versus everywhere in) that context.
	casbah.org /resources/cycContextSpace.shtml (16228 words)

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