行列式的展开

词组短语

expansion of a determinant

与行列式的展开相关的网络例句 [注：此内容来源于网络，仅供参考]

Dixon method was adopted to construct a 22×22 Dixon matrix and then the greatest common divisor of two columns was extracted.

结合矢量法和复数法建立了4个几何约束方程式，使用Dixon结式构造22 22的Dixon矩阵，对两列提取公因式后展开矩阵的行列式得到一元64次多项式方程，回代过程中去掉6组增根后得到58组解。

Dixon method was adopted to construct a 22×22 Dixon matrix and then the greatest common divisor of two columns was extracted. After expanding the determinant of the matrix, a 64 degree univariate polynomial equation was obtained and 6 extraneous roots were canceled in the process of solving the other 3 variables.

结合矢量法和复数法建立了4个几何约束方程式，使用Dixon结式构造22×22的Dixon矩阵，对两列提取公因式后展开矩阵的行列式得到一元64次多项式方程，回代过程中去掉6组增根后得到58组解。

Firstly, four geometric loop equations are set up by using vector method in complex number fields. Secondly, three constraint equations are used to construct the Dixon resultants, which is a 6×6 matrix and contain two variables to be eliminated. Extract the greatest common divisor of two rows and two columns of Dixon matrix and compute its determinant to obtain a new equation. This equation together with the forth constraint equation can be used to construct a Sylvester resultant.

首先使用矢量法和复数法建立4个几何约束方程式；再使用Dixon结式法对3个方程式构造一个含有2个变元的6×6 Dixon矩阵，提取其中2行列元素的公因式，将新矩阵的行列式展开后得到二元高次多项式方程，该方程与剩下一个方程使用Sylvester结式消去一变元，得到一元高次方程。

First,the determinant is regarded as a function of or- der n and denoted by D;Second,the determinant is expanded by row or by column,then the relation in both of Dand subdeterminants will be examined in details to set up certain a recursion,generally speaking,it must be a homogenous or a non homogenous recursion;fi- nally the coefficients of the general solution are found out with the aid.

给出了用递归关系方法求任意 n 阶行列式的值的一般方法：首先，把已知的 n 阶行列式看作为阶数 n 的一个函数，记为 D；其次，按行或按列展开这个行列式，并仔细观察存在于余子式及 D里的关系，建立关于 D的某一递归关系，此关系总为一个齐次的或非齐次的递归关系；最后，借助于 D(0)、D(1)和D(2)等求出递归关系的通解的系数。

与行列式的展开相关的网络解释 [注：此内容来源于网络，仅供参考]

determinant：行列式

十七世纪日本数学家关孝和提出了行列式(determinant)的概念,他在1683年写了一部叫做>的著作,意思是"解行列式问题的方法",书里对行列式的概念和它的展开已经有了清楚的叙述.

expansion in terms of eigenfunction：本寨数展开

expansion in series 级数展开 | expansion in terms of eigenfunction 本寨数展开 | expansion of a determinant 行列式的展开

expansion of a determinant：行列式的展开

expansion in terms of eigenfunction 本寨数展开 | expansion of a determinant 行列式的展开 | expansion theorem 展开定理

Laplacescher Entwicklungssatz Laplace expansion of a determinant：行列式的拉普拉斯展开

Laplacesche Gleichung Laplace's Equation 拉普拉斯方程 | Laplacescher Entwicklungssatz Laplace expansion of a determinant 行列式的拉普拉斯展开 | Laplace-Verteilung Laplace distribution 拉普拉斯分布

expansion theorem：展开定理

expansion of a determinant 行列式的展开 | expansion theorem 展开定理 | expectation 期望值

Laplace-Verteilung Laplace distribution：拉普拉斯分布

Laplacescher Entwicklungssatz Laplace expansion of a determinant 行列式的拉普拉斯展开 | Laplace-Verteilung Laplace distribution 拉普拉斯分布 | Laufflaechenkruemmung tread arc radius 踏步曲率