用双代数形式表示的不变量具有简洁、具体的表达式，可以由图像点坐标和基础矩阵直接求出。
The invariants of double algebra's form has simple and explicit expression which can be computed directly by coordinates of image points and fundamental matrix.
本文给出线性代数方程组反问题的对称矩阵解，及其通解表达式。
To the inverse problem of the system of linear algebraic equations, tiauthor gives a symmetric matrix solution and the expression of its general solution.
利用量子力学中的密度矩阵算符理论导出了该系统中三次谐波产生的解析表达式。
An analytic representation for the third-harmonic generation along the well is derived by the density matrix operator theory of the quantum mechanics.
推导出传递函数矩阵的表达式。
The representation for the transfer function matrix is derived.
根据特性矩阵得出了正交双偏振法的数学表达式，并通过实验验证其有效性。
Based on Characteristic matrix, we work out mathematic expression of the orthogonal polarizing method, and we verify it through experiment.
推导出波数频率域中的雅可比矩阵的解析表达式，其计算在正演过程中求出。
We derived analytical expression of Jacobian matrix in frequency wavenumber domain which can be computed directly from forward modeling.
利用矩阵几何解的方法，导出了系统稳态概率向量的明显表达式。
By using the matrix geometric solution method, we derive the explicit expressions for steady-state probability vector.
该方法给出了该类观测器的增益矩阵和左特征向量矩阵的参数化表达式。
This method presents the parametric expressions for the gain matrices and the left eigenvector matrix of the high-order PI observers.
整个模型以矩阵形式表达，避开了对机构输出表达式直接微分时复杂的数学运算，成功地解决了机构输出参数误差的相关性问题。
Stated in matrix form, the module shuns the complex direct differential of mechanical output expression, and resolves the relativity of mechanical output parameter error successfully.
给出了非奇异矩阵a的伴随的广义特征向量的表达式。
An expression of the generalized eigenvector of adjoint matrices for nonsingular matrix a is derived.
针对双边交易间的相互影响问题，提出了交叉影响损耗的矩阵表达式。
The expression of cross interaction matrix is presented to interaction of bilateral transactions.
提出了极化散射矩阵总功率、极化熵、相似性参数的组合表达式。
In this paper, a combined expression is introduced from the span of a scattering matrix, polarimetric entropy and similarity parameters.
对临界状态模型推导了用于隐式计算格式的H矩阵的显式表达式。
For critical state model, the author derives an explicit formula of matrix h, which is used in implicit computation scheme.
在解析表达式的基础上推导考虑双重效应的组合梁单元刚度矩阵。
On the basis of the solution expression, we deduce the composite beam unit stiffness matrix of the dual effects of the displacement.
本文导出了热套段模型的传递矩阵表达式。
The transfer matrix across the shrink fit section is established.
本文就一类复随机矩阵的矩的结构进行了研究，给出了这种结构的矩阵表达式。
The moment structures of a class of complex random matrixes are studied in this paper, and the matrix expressions of the structures are given as well.
遗憾的是，由于其矩阵表达式有些复杂，一般都将修改后的第一辅助准线表示为代数形式。
The pity is that the first auxiliary directrix after modification is generally expressed in an algebraic form, because of the complexity of the vectorial expression.
将周期杆梁结构看成一维周期波导，推导了结构中弹性波传递矩阵的表达式。
The periodic bar and beam structures are modeled as one-dimensional periodic wave-guides and the expression of transfer matrix of elastic waves is derived.
在研究线性滤波lms算法的收敛条件及推导其稳态相对误差的上下限算式时，都用到自相关矩阵的特征值的表达式。
Several eigenvalue expressions are encountered in studying the convergence condition and the lower and upper limit formula of the LMS algorithm which is used in the adaptive filter design.
从理论上给出该模型的一般表达式和矩阵判断式。应用该模型分析各因素变化对经济指标影响程度。
Theoretically, the model's general expression and matrix formulation is given to analyze the degree that every factor's change influence the economic target.
给出了四元数矩阵加权广义逆的表达式，回答了关于四元数矩阵加权（3，4）和（2，4）逆表达式的公开问题。
The expression of the weighted generalized inverse of quaternion matrices are expressed, and the open question on the characterization of the (3,4) and (2,4) inverse are solved.
给出了构成刚度阵的各矩阵的显式表达式。
The explicit formulas of matrixes composing the stiffness are given.
利用矩阵的奇异值分解和矩阵分块方法，得到了最小二乘解的一般表达式。
By using the method of matrix singular values decomposition, the general expressions of the least squares solutions are given.
在有限元法推导方程的过程中，考虑到拉索大变形的应变表达式，求得它的几何刚度矩阵和弹性刚度矩阵。
While deriving the finite element equation, get the cable's strain formula considering the big distortion, get its geometry rigidity matrix and elastic rigidity matrix.
本文用欧几里得算法，给出求解基矢变换对应矩阵的解析表达式。
An analytical method to find correspondence matrix for basic vector transformation is given by using elementary theory of numbers.
这一名称来源于下三角结构线性系统写成状态空间表达式后，系统矩阵中所表现出的下三角形状；
The name of it comes from the lower-triangular form of system matrix in state-space equations when it is linear.
本文应用对母函数微分的方法得到正态随机矩阵多项式的均值与协差阵的表达式。
An expression for the mean and covariance matrix of normal random matrix polynomial is derived by applying the method of matrix differentiation to generating function.
应用微波网络理论建立了基本方程，运用矩阵方法推导出待测件散射参量的闭定式表达式。
The closed form expressions for devices under test are derived by means of microwave network theory and matrix techniques.
应用微波网络理论建立了基本方程，运用矩阵方法推导出待测件散射参量的闭定式表达式。
The closed form expressions for devices under test are derived by means of microwave network theory and matrix techniques.
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