
	Where results make sense

Topic: Antisymmetric

In the News (Sat 26 Dec 09)

Northern Trust

Marvin Harrison

Peter Chernin

Gary Locke

Match Play

Penelope Cruz

Mickey Rourke

AR Rahman

Danny Boyle

Hugh Jackman

	Antisymmetric relation - Wikipedia, the free encyclopedia
		In mathematics, a binary relation R on a set X is antisymmetric if, for all a and b in X, if a is related to b and b is related to a, then a = b.
		Strict inequality is antisymmetric; since a < b and b < a is impossible, the antisymmetry condition is vacuously true.
		There are relations which are both symmetric and antisymmetric (equality), relations which are neither symmetric nor antisymmetric (divisibility on the integers), relations which are symmetric and not antisymmetric (congruence modulo n), and relations which are not symmetric but are anti-symmetric ("is less than").
	en.wikipedia.org /wiki/Antisymmetric_relation (219 words)

	Antisymmetric relation -- Facts, Info, and Encyclopedia article (Site not responding. Last check: 2007-10-21)
		Note that antisymmetry is not the opposite of ((mathematics) an attribute of a shape or relation; exact correspondence of form on opposite sides of a dividing line or plane) symmetry (aRb implies bRa).
		An antisymmetric relation that is also (Click link for more info and facts about transitive) transitive and (A personal pronoun compounded with -self to show the agent's action affects the agent) reflexive is a (Click link for more info and facts about partial order) partial order.
		Asymmetric is the same as antisymmetric and non-reflexive.
	www.absoluteastronomy.com /encyclopedia/a/an/antisymmetric_relation.htm (194 words)

	Antisymmetric - Wikipedia, the free encyclopedia
		The term "antisymmetric function" is sometimes used for odd function, although some meanings of antisymmetric are essentiality f(y,x) = -f (x,y).
		antisymmetric matrix (a matrix A for which x
		This is a disambiguation page, a list of pages that otherwise might share the same title.
	en.wikipedia.org /wiki/Antisymmetric (155 words)

	antisymmetric (Site not responding. Last check: 2007-10-21)
		The relation "is married to" is symmetric, but not antisymmetric: if Paul is married to Marlena, then Marlena is married to Paul (symmetric), but Paul and Marlena are not the same person.
		Equals (=) is antisymmetric because a = b and b = a implies a = b.
		Less than (<) is also antisymmetric because a < b and b < a is always false, and false implies anything.
	www.nist.gov /dads/HTML/antisymmetric.html (158 words)

	Comments on M.W. Evans' "Duality and the Antisymmetric Metric"
		Gravitation therefore is a manifestation of curved spacetime with a symmetric metric, and electromagnetism is a manifestation of spinning spacetime with an antisymmetric metric.
		In general curvilinear coordinates both the symmetric and antisymmetric metrics are defined in terms of the same set of scale factors, and this result can be used in principle to measure the effect of one field on the other.
		ij(A) is the antisymmetric metric in curvilinear coordinates.
	www.mathematik.tu-darmstadt.de /~bruhn/Comment-Chap2.htm (2570 words)

	CS310-001, Winter 2004 (Site not responding. Last check: 2007-10-21)
		If A = {w,x,y,z}, determine the number of relations on A that are (a) reflexive; (b) symmetric; (c) reflexive and symmetric; (d) reflexive and contain (x,y); (e) symmetric and contain (x,y); (f) antisymmetric; (g) antisymmetric and contain (x,y); (h) symmetric and antisymmetric; and (i) reflexive, symmetric, and antisymmetric.
		(i) there is only 1 relation that is antisymmetric, symmetric and reflexive.
		Determine the relation R Í A ´ A in each case and draw the directed graph G associated with R. Further, decide whether either is reflexive, symmetric, antisymmetric and/or transitive.
	www.cs.uregina.ca /~saxton/cs310.04/310.practice7.ans.htm (783 words)

	11.5.2 Rotational Symmetry
		The electronic wave function is already antisymmetric with regard to the interchange of electrons.
		It may be either symmetric or antisymmetric with regard to the interchange of nuclei.
		With antisymmetric electronic wave functions, as happens in the case of electronic triplets, the situation would be reversed.
	scholar.chem.nyu.edu /2600/classnotes/node119.html (689 words)

	Theory of antisymmetric networks (Site not responding. Last check: 2007-10-21)
		Although exact symmetry is an idealization that does not hold perfectly for any biological neural network, it is a useful idealization to study.
		There are several biological motivations for considering antisymmetric interactions.
		Third, oscillatory dynamical behavior is generic for antisymmetric networks, just as convergence to a fixed point was generic for symmetric networks.
	hebb.mit.edu /courses/9.641/2000/lectures/lecture19.html (973 words)

	[No title] (Site not responding. Last check: 2007-10-21)
		Not reflexive ((1,1) (R), not symmetric ((4,2) (R), not antisymmetric ((2,3) (R and (3,2) (R), transitive.
		Determine whether the relation described by the matrix EMBED Equation.3 is reflexive, symmetric, antisymmetric, and/or transitive.
		Antisymmetric, since we do not have any pair (a,b) and (b,a).
	courses.washington.edu /tcss321a/ansReview5.doc (479 words)

	H-atom p.7
		This theorem states that the wavefunction of identical particles (like our 2-electron wavefunction) must be either symmetric or antisymmetric under exchange of the coordinates of any pair of identical particles.
		Let us then construct symmetric and antisymmetric versions of the wavefunction we were considering on the previous page and calculate the energy correction for those states.
		The main point here is that the antisymmetric states [i.e., the states that will turn out to have the largest net electron spin] lie below the equivalent symmetric states.
	www.physics.csbsju.edu /QM/H.07.html (546 words)

	Noncontact Determination of Antisymmetric Plate Wave Velocity in CMC's
		The present work is focused on one of the AU parameters of interest, the ultrasonic velocity of the antisymmetric plate-wave mode.
		A broadband, air-coupled, piezoelectric transducer was centered nominally at 0.5 MHz and coupled to the air through a buffer that was shaped to focus the ultrasound 5.08 cm beyond its surface.
		We have shown that, for ceramic matrix composite specimens of the present geometry, this frequency range is very much dominated by the lowest antisymmetric plate mode.
	www.lerc.nasa.gov /WWW/RT1997/5000/5920kautz.htm (727 words)

	Re: Pauli Exclusion Principle inconsistent with electron localization
		The permutation group is discrete, so becoming antisymmetric is an all-or-none process, inconsistent with "intermediate excited states" and the like while the molecule is forming.
		It seems to be necessary to suppose that the electron wave function is antisymmetric even before the two atoms interact, but no chemist would believe this.
		That's why the antisymmetric case is a "singlet spectroscopic state" and the symmetric case is a "triplet spectroscopic state."
	www.madsci.org /posts/archives/may2001/988893501.Ch.r.html (663 words)

	[No title] (Site not responding. Last check: 2007-10-21)
		Determine whether or not this relation is (a) reflexive (b) symmetric (c) antisymmetric (d) transitive.
		Consider the relation S on the power set of A defined by aSb if and only if a is a subset of b.
		For each one of those relations, give the directed graph representation, and determine whether or not it is (a) reflexive (b) symmetric (c) antisymmetric (d) transitive.
	engr.smu.edu /~helgason/cse2353/public/hwk11.html (357 words)

	Symmetric and antisymmetric mass exchanges between the equatorial and off-equatorial Pacific associated with ENSO
		We found that the antisymmetric characteristics are mainly due to a southward shift of the maximum zonal wind stress anomaly during the ENSO mature phase.
		For the symmetric part, the mass divergence over the equatorial Pacific by the geostrophic transport is generally larger than the convergence by the Ekman transport during the El Niño mature phase.
		As for the antisymmetric part, the Ekman transport due to antisymmetric wind stress dominates the geostrophic transport so that the mass is transported from the SH to the NH during the El Niño mature phase.
	www.agu.org /pubs/crossref/2003/2002JC001671.shtml (354 words)

	Range-Dependent Antisymmetric Edge Waves Along Curved Elastic Wedge With Variable Cross Section (Site not responding. Last check: 2007-10-21)
		Broadband pulsed antisymmetric edge waves were propagated along the sharp edge of curved elastic wedges with variable cross section.
		amplitude, and number of existing antisymmetric edge modes continuously changed as the waves propagated along the range dependent edge.
		The antisymmetric edge waves remained nearly nondispersive over a wide frequency range.
	www.cnde.iastate.edu /qndedatabase/Vol.13B/p1423-1423.html (373 words)

	Symmetric versus Antisymmetric Tensors (Site not responding. Last check: 2007-10-21)
		Symmetric tensor: no sign or value changes after transposing.
		Antisymmetric tensor: all entries change signs but not value after transposing.
		Any asymmetric tensor can be represented by a symmetric tensor (averaged values of 2 indicies) and an antisymmetric tensor (+ and - diviations from average).
	world.std.com /~sweetser/quaternions/talks/IAP_1/1422.html (73 words)

	antisymmetric - OneLook Dictionary Search
		Tip: Click on the first link on a line below to go directly to a page where "antisymmetric" is defined.
		Antisymmetric : Eric Weisstein's World of Mathematics [home, info]
		Phrases that include antisymmetric: antisymmetric relation, antisymmetric bilinear form, antisymmetric matrix, antisymmetric part, antisymmetric tensor
	www.onelook.com /cgi-bin/cgiwrap/bware/dofind.cgi?word=antisymmetric (132 words)

	Antisymmetric Flows in Matroids (ResearchIndex)
		Abstract: We present a seemingly new definition of flows and flow numbers in oriented matroids and prove that the flow number and the antisymmetric flow number are bounded with the rank.
		In particular we show that any orientable matroid has an antisymmetric 3 # #r(E)+1 flow.
		2 Antisymmetric flows and strong colourings of oriented graphs (context) - set, Raspaud - 1999
	citeseer.ist.psu.edu /565119.html (285 words)

	[No title] (Site not responding. Last check: 2007-10-21)
		A function f from reals to reals (f:R-->R) is a uniformly antisymmetric function if there exists a gage function g:R-->(0,1) such that f(x-h)-f(x+h)
		This characterization was used to prove that there is no uniformly antisymmetric function with 3-element range by showing that G(g) contains
		In particular, the technique used in the proof that there is no uniformly antisymmetric function with three-element range cannot be used for the four-element range proof.
	www.math.wvu.edu /~kcies/prepF/41K5/41K5.html (193 words)

	[No title] (Site not responding. Last check: 2007-10-21)
		, x and y have a common grand-parent } is reflexive, symmetric, antisymmetric, and/or transitive.
		Reflexive (x as a common grand-parent with x), Symmetric (if x has a common grand-parent with y, y has a common grand-parent with x), not Antisymmetric (because it is not vacuously symmetric),not Transitive (x and y can have a common grand-parent g, y and z can have a common grand-parent h, and g (h) 3.
		Determine whether the relation described by the matrix EMBED Equation.3 is reflexive, irreflexive, symmetric, antisymmetric, and/or transitive.
	courses.washington.edu /tcss321a/ansQuizz5.doc (532 words)

	Kellum Problem 1 (Site not responding. Last check: 2007-10-21)
		A function f:R-->R is uniformly antisymmetric if it is nowhere weakly symmetrically continuous.
		In 1993 Ciesielski and Larson constructed a uniformly antisymmetric f:R-->N.
		See also section 2 of the survey Set Theoretic Real Analysis for more on this subject.
	www.math.wvu.edu /~kcies/STA/Probs/1.KC.html (111 words)

	Mereology
		However, the boundary of what is philosophically uncontroversial is difficult to draw, so it will be convenient to proceed step by step, starting from the obvious and adding more substantive principles as we go on.
		(The analogue for ‘P’ is already provable in M, since P is reflexive and antisymmetric.) This is the mereological counterpart of the familiar set-theoretic extensionality principle, as it reflects the view that an object is exhaustively defined by its constituent parts, just as a set is exhaustively defined by its constituent elements.
		On the other hand, the consistency of any atomistic theory is guaranteed by the trivial one-element model (with ‘P’ interpreted as identity), though the full strength of AGEM is best appreciated by considering that it is isomorphic with an atomic Boolean algebra with the zero element removed.
	plato.stanford.edu /entries/mereology (9671 words)

	ScienceWeek (Site not responding. Last check: 2007-10-21)
		In "Fermi-Dirac statistics", the Pauli exclusion principle is obeyed, so that no identical particles (called "fermions" if they obey this condition) can be in the same quantum state (as specified by the set of quantum numbers that define such a state).
		In a Fermi-Dirac system, the exchange of two identical fermions (e.g., two electrons) does not affect the probability of distribution, but it does involve a change in the sign of the wave function (the exchange is "antisymmetric").
		In Bose-Einstein statistics, the Pauli exclusion principle is not obeyed, so that any number of identical particles (called "bosons" if they obey this condition) can be in the same quantum state.
	scienceweek.com /2003/sw030404.htm (10906 words)

	Target : Entertainment : Adverb Placement: A Case Study in Antisymmetric Syntax (Linguistik Aktuell / Linguistics Today) (Site not responding. Last check: 2007-10-21)
		Target : Entertainment : Adverb Placement: A Case Study in Antisymmetric Syntax (Linguistik Aktuell / Linguistics Today)
		Adverb Placement: A Case Study in Antisymmetric Syntax (Linguistik Aktuell / Linguistics Today)
		See Description and Additional info for more details.
	www.target.com /gp/detail.html?asin=1556199023 (85 words)

Try your search on: Qwika (all wikis)