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antisymmetric MATH

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Englisch
Since partial orders are antisymmetric, the only ones that are self-dual are the equivalence relations.
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Particles with wave functions antisymmetric under exchange are called "fermions".
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This forces the wavefunction to be antisymmetric under particle interchange.
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They are antisymmetric with respect to the other.
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Even numbers of n correspond to waves symmetric with respect to the equator, and odd numbers corresponding to antisymmetric waves.
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Practitioners caution that sigmoidal functions which are antisymmetric about the origin (e.g. the hyperbolic tangent) lead to faster convergence when training networks with backpropagation.
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Absolute continuity of measures is reflexive and transitive, but is not antisymmetric, so it is a preorder rather than a partial order.
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States where this is a sum are known as symmetric; states involving the difference are called antisymmetric.
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A well partial order, or a wpo, is a wqo that is a proper ordering relation, i.e., it is antisymmetric.
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That is, it is symmetric in the exchange of the first and last pair of indices, and antisymmetric in the flipping of a pair.
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