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词汇 negative definite
释义

Definition of negative definite in English:

negative definite

adjective
Mathematics

  • 1(Of a function) having negative (formerly: negative or zero) values for all non-zero values of its argument.

  • 2(Of a square matrix) having all its eigenvalues negative.

  • 3(Of an operator on a Hilbert space) such that the inner product of any element of the space with its image under the operator is less than zero.

Origin

Mid 19th century; earliest use found in Proceedings of the Royal Society of London.

Definition of negative definite in US English:

negative definite

adjective
Mathematics

  • 1(Of a function) having negative (formerly: negative or zero) values for all non-zero values of its argument.

  • 2(Of a square matrix) having all its eigenvalues negative.

  • 3(Of an operator on a Hilbert space) such that the inner product of any element of the space with its image under the operator is less than zero.

Origin

Mid 19th century; earliest use found in Proceedings of the Royal Society of London.
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