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词条 Antisymmetric
释义

  1. See also

{{Wiktionary}}

Antisymmetric or skew-symmetric may refer to:

  • Antisymmetry in linguistics
  • Antisymmetric relation in mathematics
  • Skew-symmetric graph
  • Self-complementary graph

In mathematics, especially linear algebra, and in theoretical physics, the adjective antisymmetric (or skew-symmetric) is used for matrices, tensors, and other objects that change sign if an appropriate operation (e.g. matrix transposition) is performed. See:

  • Skew-symmetric matrix (a matrix A for which {{nowrap|1=AT = −A}})
  • Skew-symmetric bilinear form is a bilinear form B such that {{nowrap|1=B(x, y) = −B(y, x)}} for all x and y.
  • Antisymmetric tensor in matrices and index subsets.
  • "antisymmetric function" – odd function

See also

  • Symmetry in mathematics
{{Disambiguation}}
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