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单词 involutory
释义 involutory, a. Math.|ɪnvəˈl(j)uːtərɪ|
[f. L. type *involūtōri-us: see involutorial a. and -ory2.]
That is an involution (sense 6 c).
1941Birkhoff & MacLane Survey Mod. Algebra viii. 203 The correspondence A{lrar}A′ therefore preserves sums and inverts the order of products, so is sometimes called an anti-automorphism. Since (A′)′ = A, this anti-automorphism is called ‘involutory’.1971J. H. Conway in Powell & Higman Finite Simple Groups vii. 217 The p objects permuted by L2(p)..can in each case be taken as p involutory permutations of the set Ω.1972F. J. Budden Fascination of Groups viii. 81, 2-groups always arise as subgroups of larger groups whenever there is an ‘involutory’ element present, that is, an element whose square is equal to the identity.
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