totientn.
/ˈtəʊʃənt/ Mathematics.
The number of numbers (including unity) less than and prime to a given number.
ΘΚΠ
the world > relative properties > number > mathematical number or quantity > [noun] > particular qualities > totative or totient
totitive1879
totient1883
indicator1919
1883 J. J. Sylvester Coll. Math. Papers (1912) IV. 102 The sum of the totients of all the natural numbers up to j inclusive—a totient to x (which I denote by rx) meaning the number of numbers less than x and prime to it.
Derivatives
totitive n. /ˈtɒtɪtɪv/ [irregularly < Latin tot + -itive in such words as primitive, unitive] any one of such numbers in relation to the given number.
/ˈtɒtɪtɪv/ [irregularly < Latin tot + -itive in such words as primitive, unitive] any one of such numbers in relation to the given number.ΘΚΠ
the world > relative properties > number > mathematical number or quantity > [noun] > particular qualities > totative or totient
totitive1879
totient1883
indicator1919
1879 J. J. Sylvester Coll. Math. Papers (1909) III. 337 Understanding by the ‘totitives’ of k the numbers less than k and prime to it, these totitives may be arranged in (among others) the natural groups hereunder written.
1891 Athenæum 21 Mar. 383/1 ‘Some Theorems concerning Groups of Totitives of n’, by Prof. L. Tanner.
This entry has not yet been fully updated (first published 1913; most recently modified version published online December 2018).
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