
	Where results make sense

Topic: Order topologies

Related Topics

Rational number

In the News (Fri 27 Nov 09)

Northern Trust

Marvin Harrison

Peter Chernin

Gary Locke

Match Play

Penelope Cruz

Mickey Rourke

AR Rahman

Danny Boyle

Hugh Jackman

	PlanetMath: order topology
		defined by this ordering, the induced order topology.
		The subspace topology is always finer than the induced order topology, but they are not in general the same.
		This is version 5 of order topology, born on 2002-01-06, modified 2006-10-22.
	planetmath.org /encyclopedia/InducedOrderTopology.html (148 words)

	Order topology - Wikipedia, the free encyclopedia
		The standard topologies on R, Q, and N are the order topologies.
		The left order topology is the standard topology used for many set-theoretic purposes on a Boolean algebra.
		Any ordinal number can be made into a topological space by endowing it with the order topology (since, being well-ordered, an ordinal is in particular totally ordered): in the absence of indication to the contrary, it is always that order topology which is meant when an ordinal is thought of as a topological space.
	en.wikipedia.org /wiki/Order_topology (1583 words)

	Novell's Networking Primer
		This topology is susceptible to bottlenecking and single-point failure.
		However, the star topology and its derivatives are also susceptible to bottlenecking and single-point failure; the latter is often remedied by providing a redundant backup of the hub node.
		Because the logical topology is associated with the path and direction of data, it is closely linked with the MAC methods in the media access layer of the OSI model.
	www.novell.com /info/primer/prim08.html (3973 words)

	polk-ieprep-scenarios-03.txt-12516.txt
		This is Polk IEPREP Telephony Topology Terminology Page 2 Internet Draft draft-polk-ieprep-scenarios-03.txt Mar 3rd, 2003 not a requirements document (therefore shouldn't state any), and the AandA text/discussion for each of the topologies, though necessary within the WG, has been moved to another "ieprep-topology-implications" document.
		Topology "IP Bridging" 2.2 Topology "IP at the Start" This topology has the initiating party placing (dialing) the call from an IP Phone (PDA or computer), and the called party residing in the CSN.
		Topology "IP at the Start" 2.3 Topology "IP at the End" This topology has the calling party placing the call from a CSN phone, and the called party being in an IP network.
	ietfreport.isoc.org /idref/draft-polk-ieprep-scenarios (816 words)

	Security Electronics Magazine - Nuts and Bolts
		Topology defines the physical (wired or wireless) connections of a network but you need to be careful with this definition because physical topology and logical topology (that’s the physical wiring and the data path) are not the same beast at all.
		An attractive aspect of star topology is that you can pull a drop cable from a hub with no impact on the rest of the network – you can also daisy chain hubs to increase input numbers if there comes a point when the star needs to grow.
		What happens with ring topology is that signals are passed around the ring in a big circle with each node on the network examining the signal and passing it on if that signal is not addressed to them.
	www.semweb.com /nov04/networking.htm (1943 words)

	General Topology - NoiseFactory Science Archives (http://noisefactory.co.uk)
		The standard topologies on N, Z, Q, and R are all (defined to be) their order topologies.
		The topology on C is not an order topology - in fact, there is no possible ordering of the complex field which generates the standard topology.
		is the subspace topology inherited from the order topology on
	noisefactory.co.uk /maths/topology.html (4788 words)

	Hypernets -- Good (G)news for Gnutella
		Studies of interconnection topologies in the literature, however, have focused on hardware implementations which are limited by cost to a few thousand nodes.
		The more exotic topologies, such as cube-connected cycles, butterflies and other multistage [AlmGot 1994] networks are not considered here because they are likely to be more difficult to implement.
		The main results of our analysis are summarized in Table 3 which shows each of the topologies ranked by their relative bandwidth as defined in (11).
	www.perfdynamics.com /Papers/Gnews.html (3245 words)

	rfc3523
		The 4 topologies are (quickly): Topology "IP Bridging" Topology "IP at the Start" Topology "IP at the End" Topology "End-to-End IP" Polk Informational [Page 2] RFC 3523 IEPREP April 2003 2.1 Topology "IP Bridging" This topology is sometimes known as "IP in the Middle" of two CSNs.
		Topology "IP at the Start" Polk Informational [Page 3] RFC 3523 IEPREP April 2003 2.3 Topology "IP at the End" This topology has the calling party placing the call from a CSN phone, and the called party being in an IP network.
		Topology "IP at the End" 2.4 Topology "End-to-End IP" This topology has no circuit switched sections in the call path.
	ietfreport.isoc.org /idref/rfc3523/index.html (705 words)

	Long line
		In topology, the long line is a topological space analogous to the real line, only much longer.
		× [0, 1) with the order topology arising from this total order.
		Both L and L* are normal Hausdorff spaces because they are order topologies.
	www.ebroadcast.com.au /lookup/encyclopedia/lo/Long_line.html (335 words)

	Order theory - Wikipedia, the free encyclopedia
		Order theory is a branch of mathematics that studies various kinds of binary relations that capture the intuitive notion of a mathematical ordering.
		Orders appear everywhere - at least as far as mathematics and related areas, such as computer science, are concerned.
		These are graph drawings where the vertices are the elements of the poset and the ordering relation is indicated by both the edges and the relative positioning of the vertices.
	en.wikipedia.org /wiki/Order_theory (3937 words)

	PlanetMath: list of common topologies
		The aim of this entry is to give an overview of topologies commonly used in mathematics with links to the entries at Planetmath where these are discussed in greater detail.
		Cross-references: compact-open topology, geometry, Whitney topology, algebraic geometry, Zariski topology, graph theory, graph topology, topological vector spaces, seminorm, metric topology, standard topologies, order topology, inductive limit, product topology, box topology, quotient topology, subspace topology, cocountable topology, cofinite topology, indiscrete topology, discrete topology, links, topologies
		This is version 2 of list of common topologies, born on 2004-09-24, modified 2004-09-25.
	planetmath.org /encyclopedia/ListCommonTopologies.html (135 words)

	Second-Order Digital Filters Done Right
		Other topologies are quieter, but even the quietest can't be used in the most demanding applications without modification [3,12].
		For the original topology see [13] (also briefly covered in [14]), but be prepared for complicated design equations.
		There are other topologies, but they require more calculation than the direct form, and like the direct form, they can't generally be used for professional audio without the use of error feedback, 24-bit double precision, or 40-bit floating-point.
	www.rane.com /note157.html (4956 words)

	Parts Express: Project Showcase
		I had been working with this tweeter for several months using simple series crossovers with no luck and was about to start trying higher order parallel topologies or give up on it all together.
		It yielded a second order rolloff for the tweeter and a damped second order rolloff (or third order if you think about it) for the woofer.
		The actual crossover frequency is 2.3khz, which is about the limit of the XT25 unless higher order slopes are used.
	www.partsexpress.com /projectshowcase/nebula/nebula.html (782 words)

	Real Numbers
		The order is Dedekind-complete, i.e., every non-empty subset S of R with an upper bound in R has a least upper bound (also called supremum) in R. The latter property is what differentiates the reals from the rationals.
		For example, the set of rationals with square less than 2 has a rational upper bound (e.g., 1.5) but no rational least upper bound, because the square root of 2 is not rational.
		He meant that the real numbers form the largest Archimedean field in the sense that every other Archimedean field is a subfield of R. Thus R is "complete" in the sense that nothing further can be added to it without making it no longer an Archimedean field.
	www.metu.edu.tr /~e128327/real.htm (1866 words)

	ORDINAL REAL NUMBERS 2
		In this topology, as it is known, the field F is a topological field.
		The previously described order topology is also called the locally convex topology compatible with the order (see [Nachbin L. 1976] Ch I, II).
		' are isomorphic as ordered integral domains,then this isomorphism is extendable to an algebraic and order isomorphism of the fields F, F'.
	softlab.ntua.gr /~kyritsis/PapersInMaths/InfinityandStochastics/OR2.htm (2766 words)

	Transceiver architectures for wireless ICs
		In order to improve the modulation and spectral efficiencies, most digital signals are single side band with suppressed carrier.
		Transmitter Topologies In order to share circuits and reduce power consumption, the transmitter and receiver designs are done simultaneously.
		In order to achieve frequency modulation with up-conversion, either F subscript ref is modulated or the feedback divider N is dithered with the transmit data.
	rfdesign.com /mag/radio_transceiver_architectures_wireless (5385 words)

	Publications of K P S Bhaskara Rao (Site not responding. Last check: 2007-10-21)
		Topology: 10, 13, 14, 15, 25, 43, 54, 75.
		A note on order topologies, with M.B. Rao, Nanta Mathematica, 8, pp.
		Complementation in the lattice o regular topologies, with I. Duntsch, Southeast Asian Bulletin of Mathematics, 15, pp.
	www.sckans.edu /~brao/pub.htm (1170 words)

	CALD-Seminar
		In this talk I will present a genetic algorithm which evolves rich neural network topologies in order to find an optimal domain--specific non--linear function approximator with good generalization performances.
		The neural networks evolved by the algorithm have a feed--forward topology with shortcut connections and arbitrary activation functions at each layer.
		This kind of topologies has not been thoroughly investigated in literature, but is particularly well suited for non--linear regression tasks.
	calendar.cs.cmu.edu /caldSeminar/916.html (142 words)

	Norman Cohen's Abstract (Site not responding. Last check: 2007-10-21)
		The dedicated-pair topology: A given COSMOS on one device is synchronized with precisely one COSMOS on another device.
		The star topology: Each COSMOS is designated either as a central replica or as a subordinate replica of a particular central replica.
		For each of these topologies, we have defined an abstract model describing the state of a COSMOS, operations altering that state, and properties of that state that can be queried.
	www.pdl.cmu.edu /SDI/1999/cohenSpr99.html (425 words)

	Continuous Lattices and Domains - Cambridge University Press
		The authors develop the mathematical foundations of partially ordered sets with completeness properties of various degrees, in particular directed complete ordered sets and complete lattices.
		Uniquely, they focus on partially ordered sets that have an extra order relation, modelling the notion that one element 'finitely approximates' another, something closely related to intrinsic topologies linking order and topology.
		Extensive use is made of topological ideas, both by defining useful topologies on the structures themselves and by developing close connections with numerous aspects of topology.
	www.cambridge.org /catalogue/catalogue.asp?isbn=0511057237 (303 words)

	[No title] (Site not responding. Last check: 2007-10-21)
		It would be fine, if >each topology comes up exactly once - or even better, only one representant >up to homeomorphism.
		She refers to Krishnamurthy, V. "On the number of topologies on a finite set" Amer.
		He gives the number of topologies on up to 9 element sets.
	www.math.niu.edu /~rusin/known-math/94/finite.top (397 words)

	Journal of the AES Table of Contents - 2002 June
		The author reviews and analyzes numerous design tradeoffs in magnetic materials, magnetic geometries, and voice-coil topologies in order to illustrate potential advantages of this approach to driver design.
		A SPICE analysis is compared to experimental data in order to validate the proposed parameters that incorporate the frequency-dependent impedance and phase.
		A comparison between the original impulse response of a room and its simulation must be made in order to evaluate the quality of the simulation.
	www.aes.org /journal/toc/AES-June2002TOC.html (407 words)

	More on Real Numbers
		* The field R is ordered, i.e., there is a total order ≥ such that, for all real numbers x, y and z:
		* The order is Dedekind-complete, i.e., every non-empty subset S of R with an upper bound in R has a least upper bound (also called supremum) in R. The last property is what differentiates the reals from the rationals.
		The real numbers can be generalized and extended in several different directions.
	www.artilifes.com /real-numbers.htm (2134 words)

	6moons audio reviews: Green Mountain Audio Continuum 3
		A quick'n'dirty primer on 1st-order topologies -- parallel or series -- tells us that because the rate of attenuation beyond the crossover point is very shallow or slow (akin to just a few clicks on a preamp's volume control), the respective drivers are operative far beyond the bandwidth circumscribed by the filter frequencies.
		Accelerating orders, new models and the training of additional staff this year has placed further strains on the working-class Johnson (lotsa class, lotsa work) who is looking forward to extricating himself from some of the operations procedures of the daily manufacturing grind and focus more on design and strategic alliances.
		This, in a nutshell, seems to be the past and future story of Green Mountain Audio that's on the verge to make a big splash now.
	www.6moons.com /audioreviews/gma/continuum3_2.html (703 words)

	The On-Line Encyclopedia of Integer Sequences
		Number of partially ordered sets ("posets") with n labeled elements (or labeled acyclic transitive digraphs).
		J. Brown and S. Watson, The number of complements of a topology on n points is at least 2^n (except for some special cases), Discr.
		J. Heitzig and J. Reinhold, The number of unlabeled orders on fourteen elements, Order 17 (2000) no. 4, 333-341.
	www.research.att.com /cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?Anum=A001035 (395 words)

	North Creek Full Range Loudspeaker Kits
		Initially, we begin with an impedance-compensated, overdamped forth order topology, including damping resistors in series with all shunt capacitors and the first inductor being about twice that expected from formulae.
		The tweeter section is a simple attenuated second order network with impedance compensation, while the woofer section is very low Q third order network with a damping resistor in the T leg but without impedance compensation.
		The topology then became simple damped third order that is correctly terminated, therefore we have precisely third order acoustic output.
	www.northcreekmusic.com /NorthCreekKits.html (8178 words)

	The On-Line Encyclopedia of Integer Sequences
		Number of different quasi-orders (or topologies, or transitive digraphs) with n labeled elements.
		Moussa Benoumhani, The number of topologies on a finite set, Preprint, 2005.
		For further references concerning the enumeration of topologies and posets see under A001035.
	www.research.att.com /~njas/sequences/A000798 (266 words)

	Center for Automated Learning and Discovery (ResearchIndex) (Site not responding. Last check: 2007-10-21)
		If your firewall is blocking outgoing connections to port 3125, you can use these links to download local copies.
		Abstract: In this paper we present ELeaRNT, an evolutionary strategy which evolves rich neural network topologies in order to find an optimal domain--specific non--linear function approximator with a good generalization performance.
		This kind of topologies has not been thoroughly investigated in literature, but is particularly well suited for non--linear...
	citeseer.ist.psu.edu /752901.html (443 words)

	Formation of geometrically complex lipid nanotube- vesicle networks of higher-order topologies -- Karlsson et al., ...
		Formation of geometrically complex lipid nanotube- vesicle networks of higher-order topologies -- Karlsson et al., 10.1073/pnas.172183699 -- Proceedings of the National Academy of Sciences
		We present a microelectrofusion method for construction of fluid-state lipid bilayer networks of high geometrical complexity up to fully connected networks with genus = 3 topology.
		Within networks, self-organizing branching nanotube architectures could be produced where intersections spontaneously arrange themselves into three-way junctions with an angle of 120° between each nanotube.
	www.pnas.org /cgi/content/abstract/172183699v1 (446 words)

Try your search on: Qwika (all wikis)