Englishfor English speakers
completely
Adverb
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When something is completely some quality, it is absolutely that quality, in every way.
The man was completely honest in his business.
This is completely different from what people might believe.
The discovery has given us a completely new way of looking at thing.
antisymmetric
adjective
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(set theory, order theory, of a binary relation R on a set S) Having the property that, for any two distinct elements of S, at least one is not related to the other via R; equivalently, having the property that, for any x, y ∈ S, if both xRy and yRx then x=y.
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(linear algebra, of certain mathematical objects) Whose sign changes on the application of a matrix transpose or some generalisation thereof:
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(of a matrix) Whose transpose equals its negative (i.e., MT = −M);
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(of a tensor) That changes sign when any two indices are interchanged (e.g., Tijk = -Tjik);