self-conjugate
- self-conjugate的基本解释
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正规
- 相关中文词汇
- 正规
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The research of matrixes is continuously an important aspect of the quaternion division algebra. The purpose of this paper is to discuss the property of skew self-conjugate matrix. The definition of skew self-conjugate matrix on real quaternion division algebra is given.
四元数体上矩阵的研究是四元数代数理论中的一个重要方面,本文研究实四元数体上斜自共轭矩阵的性质,给出实四元数体上斜自共轭矩阵的定义。
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Basing on the famous Schur theorem on real quaternion division algebra and the operation of matrix, some properties and judging criterions of skew self-conjugate matrix are obtained. Several theorems about characteristic value, similar decomposition and real expression of skew self- conjugate matrix are gained.
借助四元数体上的Schur三角分解定理和体上矩阵的运算,得到了斜自共轭矩阵的一些性质及判定准则,获得了斜自共轭矩阵的实表示、相似分解以及特征值的几个定理。
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It is studied factorizing a matrix over quaternion field to the product of two self-conjugate matrices. And some useful results are obtained.
摘要研究了四元数矩阵分解为两个自共轭矩阵乘积,其中有一个是非奇异阵的条件,得到了一些有用的结果。
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After this, the values of m-th Gauss sums have been determined for small m(= 3,4,···, 12) by using arithmetic properties of cyclotomic fields Q- Recently the formulas of Gauss sums are determined in "self-conjugate" and "index 2" cases in which the Gauss sums belongs to the rational number field and certain imaginary quadratic field respectively.
继高斯之后,人们用代数数论对于m较小情形计算出m次高斯和。近年来,人们对于&自共轭&情形和&指数2&情形算出高斯和。对于这两种情形,高斯和的值分别属于有理数域和虚二次域。
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The divisible semiring congruence on S was characterized. A one-toone, inclusion-preserving mapping from the set of full, closed, self-conjugate subsemirings of S to the set of divisible semiring congruence on S was established. A result for the divisible semiring congruence lattice was obtained.
给出了这类半环上可除半环同余的一种刻画,建立了S上的可除半环同余与满、闭、自共轭理想子半环的保序一一对应,得到了可除半环同余格的一个结果。
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self-conjugate:自共轭的
self complementary graph 自补图 | self conjugate 自共轭的 | self conjugate partition 自共轭分拆
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self-conjugate:自轭的
self charge 自具电荷 | self conjugate 自轭的 | self consistent field 自洽场
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self-conjugate:正规
self-congruent 自相一致的 | self-conjugate 正规 | self-conjugateconic 自共轭二次曲线
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self-conjugate:自共轭
自组态操作系统 self-configurating operating system | 自共轭 self-conjugate | 自我意识 self-consciousness
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self-conjugate subgroup:正规子群;不变子群;自共轭子群
自共轭二次曲面 self-conjugate quadric | 正规子群;不变子群;自共轭子群 self-conjugate subgroup | 自配极四面形;自共轭四面形 self-conjugate tetrahedron
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