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matrix     
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  矩阵
    Some Refined Algorithms for Large Unsymmetric Matrix Eigenproblems
    解大规模非对称矩阵特征问题的一些精化算法
短句来源
    A QR-like Algorithm and a Symplectic Lanczos Algorithm for Hamiltonian Matrix Eigenproblems and the Error Analysis of Symplectic Lanczos Algorithm
    求解Hamilton矩阵特征问题的一个QR型算法及关于辛Lanczos算法的误差分析
短句来源
    The Solutions of Several Classes of Linear Matrix Equations and the Procrustes Problems
    几类线性矩阵方程的解与PROCRUSTES问题
短句来源
    Matrix Valued Rational Approximation and Applications in Control Theory
    矩阵有理逼近及其在控制论中应用
短句来源
    Refined Jacobi-Davidson Algorithms for Large Unsymmetric Matrix Eigenproblems
    解大规模非对称矩阵特征问题的精化Jacobi-Davidson类算法
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    On the Frame Matrix
    框
短句来源
    The Calculations of Condensed External Stiffness Matrix of Symmetric Substructure
    关于对称子结构出口刚度的计算
短句来源
    Factorizations of Unit Matrix Ir
    单位Ir的分解
短句来源
    Characteristics of Partitioned Matrix (A_(11)A_(12) A_(21)A_(22)) for M-Matrix
    分块矩(A_(11) A_(12) A(21) A_(22))为M-的特性
短句来源
    REPRESENT THE MATRIX WHICH DETERMINANT IS ±1, AS THE PRODUCT OF THE REFLECTION
    将行列式为±1的表成反射之积
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  矩阵的
    The Generalization of the Quasi-stochastic Matrix and its Characteristic Roots
    拟随机矩阵的推广及其特征根
短句来源
    The Properties and Realization of the Conductance Matrix
    电导矩阵的性质及其实现
短句来源
    On the Problem of Jordan Canonical Form of Matrix
    关于矩阵的Jordan标准形问题
短句来源
    A DIRECT METHOD OF COMPUTING THE MOORE-PENROSE INVERSE OF A MATRIX
    计算Moore-Penrose广义逆矩阵的一种直接方法
短句来源
    Extention of the K—M Matrix and CP—Violation in Two—Generation Model
    K—M矩阵的推广和二代模型中的CP破坏
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  方阵
    A NEW COMPUTATION OF MATRIX INVERSION
    n阶方阵A求逆的一个新算法
短句来源
    THE RELATIONS BETWEEN MATRICES C_p 、 G_p AND PRINCIPAL VECTORS OF A SQUARE MATRIX
    矩阵C_p、G_p与方阵的根向量
短句来源
    Some Properties of Fuzzy Symmetric Matrix with Realizability
    具有可实现性的Fuzzy对称方阵的一些性质
短句来源
    Finding Resolvent of Square Matrix by Cayley-Hamilton Theorem Directlly
    用Cayley-Hamilton定理直接求方阵的预解矩阵
短句来源
    A Theorem that Every Square Matrix on a Field Ω is the Product of Two Symmetric Matrices
    域Ω上的方阵分解为两个对称阵的乘积的一个定理
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      matrix
    Finally the cubic surfaces of each component ofQ are studied in details by determining their stabilizers, their rational representations and whether they can be expressed as the determinant of a 3×3 matrix of linear forms.
          
    In this paper we present an explicit formula for the twistors in the form of an infinite product of the universalR matrix ofUq(g).
          
    Semi-invariants of quivers can be constructed by taking admissible partial polarizations of the determinant of matrices containing sums of matrix components of the representation and the identity matrix as blocks.
          
    These are analogous to "fusion rules" in tensor product decomposition and their derivation obtains from an analysis of theR-matrix.
          
    The form of these generic polynomials is that of a Bethe eigenfunction and they imitate, on a more elementary level, the R-matrix construction of quantum immanants.
          
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    A simple calculation has been carried out for the absqrption coefficient of H-. The matrix component of transition is calculated from the combination of a free-electron wave function obtained by averaging the Hylleraas wave function for H- over the coordinates of one electron. The absorption coefficient covering a wide range of optical spectrum is in the order of 10-17 cm2.

    本文根据波动力学计算H~-之吸收系数若H~-吸收较短於λ=17254A光线时,吾人应得一极宽连续光谱。依本文极简单计算,其系数大都在10~(-17)cm~2附近。

    A newly developed synthesis of X-ray data for crystal analysis, called the point diagram synthesis, is compared with the classical Fouriers. The fundamental assumption in the method s first explained. A correlation matrix of index 10 is then quoted. Some mathematical properties of the correlation matrices, that is, the absolute convergence, and the h and μ-summation rules are described and illustrated. The method is next applied in parallel with the Fouriers to an arbitrary structure along with its...

    A newly developed synthesis of X-ray data for crystal analysis, called the point diagram synthesis, is compared with the classical Fouriers. The fundamental assumption in the method s first explained. A correlation matrix of index 10 is then quoted. Some mathematical properties of the correlation matrices, that is, the absolute convergence, and the h and μ-summation rules are described and illustrated. The method is next applied in parallel with the Fouriers to an arbitrary structure along with its two component structures. The crystal NaCl is next studied, using the actual experimental data. It is shown that on the basis of exactly the same experimental data the inormation given by the two types of syntheses are entirely different. Conclusions about the method drawn in the previous articles are then discussed in the light of the new studies and approved once more.

    作者曾在英国自然界发表渠所建立之棋式X光综合新法之大意。一时引起欧美同行兴趣及讨论。其中有表兴趣者,有对此新法是否比通用之符礼式综合法更为有用致疑。本文即将新旧二法应用於自然及理想晶体。比较其结果之优劣。此外并对新法之三种数学特性加以介绍。

    There are three methods for the construction of bond functions in the theory of hybridization, one is the method of the application of group theory and the other two are respectively the method of matrix transformation and the method for the construction of best bond functions. All these three methods have been extended to include the f-orbitals besides the s-, p- and d-orbitals. The results obtained were used to interpret the structures of many ions and compounds and furthermore, the magnetic properties...

    There are three methods for the construction of bond functions in the theory of hybridization, one is the method of the application of group theory and the other two are respectively the method of matrix transformation and the method for the construction of best bond functions. All these three methods have been extended to include the f-orbitals besides the s-, p- and d-orbitals. The results obtained were used to interpret the structures of many ions and compounds and furthermore, the magnetic properties of some of these ions and compounds have been predicted.

    根据某些分子或离子的空间构型的对称性,用群论进行分析,知道在键函数中要用上f轨道.前人也从化学性质、磁化学等方面论证了在一些化合物中有f轨道成分,因此把造键函数的方法推广至f轨道.在群论方法中证明在MoSi_2、Ta_6Cl_(12)~(+6)及O_h、T_d等类型的八价键函数中有f轨道,并对配位数等于2-8的各类键函数进行了讨论,总结了前人工作,补充了f轨道.在最优键函数的推广中得到角度公式和键强度公式为5/2δcos~3θ+3/2γcos~2θ+(β-3/2δ)cosθ+α-r/2=0S=~2(1/2)+~2(1/3β)+~2(1/5γ)+~2(1/7δ)当δ=0时还原为前人所讨论过的公式(Hultgren,1932;唐敖庆、卢锡锟1950).角度公式是键角的三次方程,可以用来讨论包含三个键角的化合物的结构,并曾把公式应用到四方对棱柱型键上.应用矩障变换讨论了一般键函数的造法,作为方法的应用,造出了1F_7型键函数.最后讨论了UO_2~艹、IO_6~(-5)、 IF_7、MoSi_2等十二个化合物的结构,并根据电子排布推测了它们的磁性.

     
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