Grassmannianadj.n.

Brit.

/ˌɡrasˈmanɪən/,

/ˌɡrɑːsˈmanɪən/, U.S.

/ˌɡræsˈmæniən/,

/ˌɡrɑsˈmæniən/

Origin: From a proper name, combined with an English element. Etymons: proper name Grassmann , -ian suffix

Etymology: < the name of Hermann Grassmann (see Grassmann n.) + -ian suffix. Compare earlier Grassmann n.

Mathematics and Physics.

A. adj.

Designating any of various mathematical concepts and structures introduced by or associated with Hermann Grassmann. Cf. Grassmann n. 2.

ΘΚΠ

the world > relative properties > number > mathematics > [adjective] > characterized by theories of or approaches to

physico-mathematical1660

analytical1694

Bernoulli1749

analytic1761

Boolean1851

Sturmian1853

Bernoullian1876

Fermatian1887

Grassmannian1894

number-theoretic1899

Cantor1902

Cantorian1912

Tauberian1913

Thiessen1923

intuitionist1926

metamathematical1926

finitist1931

number-theoretical1936

finitistic1937

proof-theoretic1940

formalistic1941

Gödelian1942

constructivist1943

constructivistic1944

game-theoretical1946

game-theoretic1950

finitary1952

perturbation-theoretic1964

perturbation-theoretical1968

constructive1979

1894 Ann. Math. 8 38 In this article the author treats the line geometry as a sixth order Grassmannian system.

1934 Proc. London Math. Soc. 38 172 The ordinary Grassmannian varieties are particular cases of this more general representation.

1974 Math. Notes Acad. Sci. USSR 16 624 (title) Automorphisms of the tensor product of Abelian and Grassmannian algebras.

2000 A. D. Mirlin in G. Casati et al. New Direct. Quantum Chaos 226 The square of a Grassmannian variable is zero.

B. n.

The set of all linear subspaces of a particular dimension of a given vector space.

ΚΠ

1932 Math. Proc. Cambr. Philos. Soc. 28 421 The ∞^κ+1 chordal [κ]'s of Cⁿ correspond on the Grassmannian..to the points of a rational normal locus..of dimension κ+1.

1975 Amer. Jrnl. Math. 97 62 The first interesting Grassmannian is G(2,4), which has dimension 4.

2015 V. Lakshmibai & J. Brown Grassmannian Variety v. 67 The Picard group of the Grassmannian is isomorphic to the group of integers.

This entry has been updated (OED Third Edition, March 2019; most recently modified version published online March 2022).

单词	grassmannian
释义	Grassmannianadj.n. Brit. /ˌɡrasˈmanɪən/, /ˌɡrɑːsˈmanɪən/, U.S. /ˌɡræsˈmæniən/, /ˌɡrɑsˈmæniən/ Origin: From a proper name, combined with an English element. Etymons: proper name Grassmann , -ian suffix Etymology: < the name of Hermann Grassmann (see Grassmann n.) + -ian suffix. Compare earlier Grassmann n. Mathematics and Physics. A. adj. Designating any of various mathematical concepts and structures introduced by or associated with Hermann Grassmann. Cf. Grassmann n. 2. ΘΚΠ the world > relative properties > number > mathematics > [adjective] > characterized by theories of or approaches to physico-mathematical1660 analytical1694 Bernoulli1749 analytic1761 Boolean1851 Sturmian1853 Bernoullian1876 Fermatian1887 Grassmannian1894 number-theoretic1899 Cantor1902 Cantorian1912 Tauberian1913 Thiessen1923 intuitionist1926 metamathematical1926 finitist1931 number-theoretical1936 finitistic1937 proof-theoretic1940 formalistic1941 Gödelian1942 constructivist1943 constructivistic1944 game-theoretical1946 game-theoretic1950 finitary1952 perturbation-theoretic1964 perturbation-theoretical1968 constructive1979 1894 Ann. Math. 8 38 In this article the author treats the line geometry as a sixth order Grassmannian system. 1934 Proc. London Math. Soc. 38 172 The ordinary Grassmannian varieties are particular cases of this more general representation. 1974 Math. Notes Acad. Sci. USSR 16 624 (title) Automorphisms of the tensor product of Abelian and Grassmannian algebras. 2000 A. D. Mirlin in G. Casati et al. New Direct. Quantum Chaos 226 The square of a Grassmannian variable is zero. B. n. The set of all linear subspaces of a particular dimension of a given vector space. ΚΠ 1932 Math. Proc. Cambr. Philos. Soc. 28 421 The ∞^κ+1 chordal [κ]'s of Cⁿ correspond on the Grassmannian..to the points of a rational normal locus..of dimension κ+1. 1975 Amer. Jrnl. Math. 97 62 The first interesting Grassmannian is G(2,4), which has dimension 4. 2015 V. Lakshmibai & J. Brown Grassmannian Variety v. 67 The Picard group of the Grassmannian is isomorphic to the group of integers. This entry has been updated (OED Third Edition, March 2019; most recently modified version published online March 2022). < adj.n.1894
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