Antisymmetric
Antisymmetric In set theory, the adjective antisymmetric usually refers to an antisymmetric relation. The term "antisymmetric function" is sometimes used for odd function, although some meanings of antisymmetric are essentiality f(y,x) = -f ( ...
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Antisymmetric relation
Antisymmetric relation In mathematics, a binary relation R on a set X is antisymmetric if, for all a and b in ... a \; \Rightarrow \; a = b Inequalities are antisymmetric, since for different numbers a and b ... ≥ b can be true. Note that 'antisymmetric' is not the logical negative of 'symmetric ... are relations which are both symmetric and antisymmetric (e.g., the equality relation) and ...
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Antisymmetric tensor
Antisymmetric tensor In mathematics and theoretical physics, a tensor is antisymmetric on two indices i and j if ... ijk\dots} = -T_{jik\dots} An antisymmetric tensor is a tensor for which there ... are two indices on which it is antisymmetric. If the tensor changes the sign under ... of indices, then the tensor is completely antisymmetric and it is also referred to ...
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Antisymmetric matrix   (translated from French)
Antisymmetric matrix In algèbre linear , one square matrix With is known as antisymmetric if its transposed is equal to its ... i For example, the following matrix is antisymmetric: \begin{pmatrix} 0 & 2 \ \ -2 & 0 ... All entries of diagonale principal of an antisymmetric matrix has one zero (when we are ... 2), and thus trace of a matrix antisymmetric is null. (the principal diagonal is ...
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Antisymmetric matrix   (translated from Italian)
Antisymmetric matrix In matematica one antisymmetric matrix (or emisimmetrica) it is one square ... As an example, the following matrix is antisymmetric: antisymmetric matrix they must be equal to zero ... it is zero. It is To one antisymmetric matrix n× n. determining of To ...
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Talk:Antisymmetric relation
Talk:Antisymmetric relation Regarding the terms "equality" and "antisymmetry ... relation which is reflexive, symmetric transitive and antisymmetric. The definition of antisymmetry refers to the ... R={(a,a),(b,b)} is this antisymmetric? if yes then why? The article gives ... Greater than or equal to isn't antisymmetric, right? I'm pretty sure its neither symmetric nor antisymmetric. Fresheneesz 04:47, 13 December 2005 ( ...
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Identical particles
... multi-particle states, called symmetric states and antisymmetric states. Symmetric states have the form Antisymmetric states have the form $|n\_1,\; n\_2\; ...\; are\; the\; same,\; our\; equation\; for\; the$antisymmetric state gives the zero ket, which cannot ... be normalized. In other words, in an antisymmetric state the particles cannot occupy the same ... Exchange symmetry The importance of symmetric and antisymmetric states is ultimately based on empirical ...
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Binary relation   (translated from French)
... considerations categoric , means that it is smallest!). Antisymmetric relation The relation \mathcal{R} on E is antisymmetric or slightly antisymmetric ssi when two elements of E are ... y) \, A relation is thus slightly antisymmetric ssi the intersection of its graph with ... maths> on E is asymmetrical or strongly antisymmetric ssi when a first element of ...
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Symmetrical relation   (translated from Italian)
... that are not neither symmetrical neither asymmetric. Antisymmetric relations One relation R in X it is said instead antisymmetric if, taken however two elements to and ... Rightarrow \; to = b An example of antisymmetric relation can be "is smaller or equal ... are equal. Also inequality tightened it is antisymmetric; being in fact to < b and b ... this relation is one empty truth. An antisymmetric relation that is also transitiva and ...
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Talk:Scalar (physics)
... m just saying that it is an antisymmetric 2-tensor which transforms like any other ... repeated indices are summed. Look at an antisymmetric 2-tensor $X=\backslash begin\{bmatrix\}0\; ...\; relationship\; between\; every\; pseudo-scalar\; and\; every$antisymmetric 2-tensor. The pseudoscalar associated with the ... versa. When you subject a perfectly normal antisymmetric 2-tensor (X) to an inverting transformation ... is just a shorthand device for an antisymmetric 2-tensor!!!. Instead of having a ...
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