differentiantn.

Brit.

/ˌdɪfəˈrɛnʃɪənt/,

/ˌdɪfəˈrɛnʃ(ə)nt/, U.S.

/ˌdɪfəˈrɛn(t)ʃ(i)ənt/

Forms: 1800s differenciant, 1800s– differentiant.

Origin: A borrowing from Latin. Etymons: Latin differentiant-, differentiare.

Etymology: < post-classical Latin differentiant-, present participial stem of differentiare differentiate v.; compare -ant suffix¹.

Mathematics.

An invariant (invariant n. 1) of a homogeneous polynomial in two variables. Now chiefly in historical contexts.

ΚΠ

1878 J. J. Sylvester in London, Edinb. & Dublin Philos. Mag. Mar. 183 I propose to give a systematic development of the Calculus of Invariants, taking a differentiant as the primordial germ or unit.

1882 Amer. Jrnl. Math. 5 82 A differenciant to an irreducible quantic is of necessity a subinvariant.

1907 Trans. Amer. Math. Soc. 8 33 I discovered operators that produce all the differentiants of a given type and certain combinations of characters.

1998 K. H. Parshall James Joseph Sylvester: Life & Work in Lett. v. 185 Sylvester actually proves that a particular set of differentiants is linearly independent.

This entry has been updated (OED Third Edition, March 2016; most recently modified version published online March 2022).

单词	differentiant
释义	differentiantn. Brit. /ˌdɪfəˈrɛnʃɪənt/, /ˌdɪfəˈrɛnʃ(ə)nt/, U.S. /ˌdɪfəˈrɛn(t)ʃ(i)ənt/ Forms: 1800s differenciant, 1800s– differentiant. Origin: A borrowing from Latin. Etymons: Latin differentiant-, differentiare. Etymology: < post-classical Latin differentiant-, present participial stem of differentiare differentiate v.; compare -ant suffix¹. Mathematics. An invariant (invariant n. 1) of a homogeneous polynomial in two variables. Now chiefly in historical contexts. ΚΠ 1878 J. J. Sylvester in London, Edinb. & Dublin Philos. Mag. Mar. 183 I propose to give a systematic development of the Calculus of Invariants, taking a differentiant as the primordial germ or unit. 1882 Amer. Jrnl. Math. 5 82 A differenciant to an irreducible quantic is of necessity a subinvariant. 1907 Trans. Amer. Math. Soc. 8 33 I discovered operators that produce all the differentiants of a given type and certain combinations of characters. 1998 K. H. Parshall James Joseph Sylvester: Life & Work in Lett. v. 185 Sylvester actually proves that a particular set of differentiants is linearly independent. This entry has been updated (OED Third Edition, March 2016; most recently modified version published online March 2022). < n.1878
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