英语词汇“galois group”的英英意思、用法、释义、翻译、读音、例句、短语、词组-英语词典

Used attributively to designate various concepts in algebra arising out of Galois' work, as Galois field, a field with a finite number of elements; Galois function, Galois group, Galois resolvent, Galois theory.

ΚΠ

1893 E. H. Moore in Bull. N.Y. Math. Soc. 3 75 The Galois-field of order s = qⁿ, GF[qⁿ], consists of the system of qⁿ incongruous classes (modulis q, F_n(ξ)) of rational integral functions of ξ with integral coefficients.

1893 E. H. Moore in Bull. N.Y. Math. Soc. 3 75 Galois theory.

1899 Bull. Amer. Math. Soc. 5 237 Galois group.

1900 J. Pierpont in Ann. Math. 1 125 We shall for convenience of notation take G₁ = 0. We shall call this the Galoisian Resolvent.

1901 W. S. Burnside & A. W. Panton Theory of Equations (ed. 4) II. xx. 246 This function, ψ₁, is called the Galois Function.

1901 W. S. Burnside & A. W. Panton Theory of Equations (ed. 4) II. xx. 257 The equation of the N^th degree whose roots are these N values, viz., Ψ(z)≡(z − ψ₁)(z − ψ₂)..(z − ψn) = 0, is called the Galois resolvent.

1937 R. D. Carmichael Introd. Theory Groups of Finite Order ix. 255 A particular Galois field, so far as its abstract properties are concerned, is completely determined by its order.

1963 G. D. Mostow et al. Fund. Struct. Algebra x. 297 Galois theory shows that the roots of the polynomial can be obtained from the coefficients a_i by ordinary field operations (+, −, ×, ÷) and root extractions if and only if the Galois group is solvable.

1965 E. M. Patterson & D. E. Rutherford Elem. Abstr. Algebra iii. 97 It can be shown that for each prime number p and each positive integer n, there is essentially only one field consisting of pⁿ elements; this..is called a Galois field.

单词	galois group
释义	> as lemmas Galois group Used attributively to designate various concepts in algebra arising out of Galois' work, as Galois field, a field with a finite number of elements; Galois function, Galois group, Galois resolvent, Galois theory. ΚΠ 1893 E. H. Moore in Bull. N.Y. Math. Soc. 3 75 The Galois-field of order s = qⁿ, GF[qⁿ], consists of the system of qⁿ incongruous classes (modulis q, F_n(ξ)) of rational integral functions of ξ with integral coefficients. 1893 E. H. Moore in Bull. N.Y. Math. Soc. 3 75 Galois theory. 1899 Bull. Amer. Math. Soc. 5 237 Galois group. 1900 J. Pierpont in Ann. Math. 1 125 We shall for convenience of notation take G₁ = 0. We shall call this the Galoisian Resolvent. 1901 W. S. Burnside & A. W. Panton Theory of Equations (ed. 4) II. xx. 246 This function, ψ₁, is called the Galois Function. 1901 W. S. Burnside & A. W. Panton Theory of Equations (ed. 4) II. xx. 257 The equation of the N^th degree whose roots are these N values, viz., Ψ(z)≡(z − ψ₁)(z − ψ₂)..(z − ψn) = 0, is called the Galois resolvent. 1937 R. D. Carmichael Introd. Theory Groups of Finite Order ix. 255 A particular Galois field, so far as its abstract properties are concerned, is completely determined by its order. 1963 G. D. Mostow et al. Fund. Struct. Algebra x. 297 Galois theory shows that the roots of the polynomial can be obtained from the coefficients a_i by ordinary field operations (+, −, ×, ÷) and root extractions if and only if the Galois group is solvable. 1965 E. M. Patterson & D. E. Rutherford Elem. Abstr. Algebra iii. 97 It can be shown that for each prime number p and each positive integer n, there is essentially only one field consisting of pⁿ elements; this..is called a Galois field. extracted from Galoisn. < as lemmas
随便看	equivalize equivalize account equivalue equivalve equivalved equivelocity equivocacy equivocal equivocal chord equivocal generation equivocalities equivocality equivocally equivocalness equivocalnesses equivocant equivocas equivocate equivocated equivocates equivocating equivocatingly equivocation equivocations equivocator

> as lemmas