permutantn.

Brit.

/pəˈmjuːt(ə)nt/, U.S.

/pərˈmjutnt/

Origin: Either (i) a borrowing from Latin. Or (ii) formed within English, by derivation. Etymons: Latin permūtant- , permūtāns ; permute v., -ant suffix¹.

Etymology: Either < classical Latin permūtant-, permūtāns, present participle of permūtāre permute v., or < permute v. + -ant suffix¹.

†1. Mathematics. A function formed from two or more of the possible permutations of a group of items linearly arranged, each being positive or negative according to whether it is obtained by an even or odd number of interchanges. Obsolete.

ΘΚΠ

the world > relative properties > number > algebra > [noun] > expression > function

function1758

exponential1784

potential function1828

syzygy1850

permutant1852

Green function1863

theta-function1871

Greenian1876

Gudermannian1876

discriminoid1877

Weierstrassian function1878

gradient1887

beta function1888

distribution function1889

Riemann zeta function1899

Airy integral1903

Poisson bracket1904

Stirling approximation1908

functional1915

metric1921

Fourier transform1923

recursive function1934

utility function1934

Airy function1939

transfer function1948

objective function1949

restriction1949

multifunction1954

restriction mapping1956

scalar function1956

Langevin function1960

mass function1961

1852 A. Cayley in Cambr. & Dublin Math. Jrnl. 7 41 The term permutant is due to him [sc. J. J. Sylvester]—intermutant and commutant are merely terms framed between us in analogy with permutant, and the names date from the present year.

2. Science. A thing that results from permutation.

ΚΠ

1940 Trans. Amer. Math. Soc. 48 277 The m − 1 Γ's, of n letters each, give rise to n^m−1 selections which we call cycles. Any m-adic substitution s on the Γ's will merely permute these cycles, and hence will determine an ordinary substitution on these n^m−1 cycles as new ‘permutants’.

1988 Jrnl. Molecular Biol. 204 221 Computer analysis of the 130 base-pairs..has revealed TGAAAG motifs and shows that the presence of such elements and their permutants have biological significance.

1992 Amer. Math. Monthly 99 12 The generalization to the n-dimensional case is achieved by making x and its permutants, the points obtained by permuting its n coordinates, equivalent.

2000 Jrnl. Biol. Chem. 275 19068 Despite the overall structure of the native peptide being retained in all but two cases, none of the acyclic permutants displayed hemolytic activity.

This entry has been updated (OED Third Edition, December 2005; most recently modified version published online March 2022).

单词	permutant
释义	permutantn. Brit. /pəˈmjuːt(ə)nt/, U.S. /pərˈmjutnt/ Origin: Either (i) a borrowing from Latin. Or (ii) formed within English, by derivation. Etymons: Latin permūtant- , permūtāns ; permute v., -ant suffix¹. Etymology: Either < classical Latin permūtant-, permūtāns, present participle of permūtāre permute v., or < permute v. + -ant suffix¹. †1. Mathematics. A function formed from two or more of the possible permutations of a group of items linearly arranged, each being positive or negative according to whether it is obtained by an even or odd number of interchanges. Obsolete. ΘΚΠ the world > relative properties > number > algebra > [noun] > expression > function function1758 exponential1784 potential function1828 syzygy1850 permutant1852 Green function1863 theta-function1871 Greenian1876 Gudermannian1876 discriminoid1877 Weierstrassian function1878 gradient1887 beta function1888 distribution function1889 Riemann zeta function1899 Airy integral1903 Poisson bracket1904 Stirling approximation1908 functional1915 metric1921 Fourier transform1923 recursive function1934 utility function1934 Airy function1939 transfer function1948 objective function1949 restriction1949 multifunction1954 restriction mapping1956 scalar function1956 Langevin function1960 mass function1961 1852 A. Cayley in Cambr. & Dublin Math. Jrnl. 7 41 The term permutant is due to him [sc. J. J. Sylvester]—intermutant and commutant are merely terms framed between us in analogy with permutant, and the names date from the present year. 2. Science. A thing that results from permutation. ΚΠ 1940 Trans. Amer. Math. Soc. 48 277 The m − 1 Γ's, of n letters each, give rise to n^m−1 selections which we call cycles. Any m-adic substitution s on the Γ's will merely permute these cycles, and hence will determine an ordinary substitution on these n^m−1 cycles as new ‘permutants’. 1988 Jrnl. Molecular Biol. 204 221 Computer analysis of the 130 base-pairs..has revealed TGAAAG motifs and shows that the presence of such elements and their permutants have biological significance. 1992 Amer. Math. Monthly 99 12 The generalization to the n-dimensional case is achieved by making x and its permutants, the points obtained by permuting its n coordinates, equivalent. 2000 Jrnl. Biol. Chem. 275 19068 Despite the overall structure of the native peptide being retained in all but two cases, none of the acyclic permutants displayed hemolytic activity. This entry has been updated (OED Third Edition, December 2005; most recently modified version published online March 2022). < n.1852
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