Meanings (ES + gloss)
antisimétrico
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.
(i) The identity relation on a set A is an antisymmetric relation. (ii) Let R be a relation on the set N of natural numbers defined by x R y #92;Leftrightarrow 'x divides y' for al…
1987, David C. Buchthal, Douglas E. Cameron, Modern Abstract Algebra, Prindle, Weber & Schmidt, page 479, The standard example for an antisymmetric relation is the relation less th…
antisimétrico
Whose sign changes on the application of a matrix transpose or some generalisation thereof:
Antisymmetric bilinear forms and wedge products are defined exactly as above, only now they are functions from #92;Rⁿ#92;times#92;Rⁿ to #92;R.[…] Exercise 21 Show that every antisy…
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