系数的向量集生成的向量方程。
A set of vector coefficients is generated from the vector equation.
导出了多变量控制系统的标准化系统矩阵向量方程。
The standard system matrix vector equations on multi-variable control system are educed.
之后，模型建立的向量方程和系数适用于以后的轮胎。
After the model is built the vector equations and coefficients are applied to subsequent tires.
这都是根据题目要求而定的，有一个问题是，找出向量的分量就足够了吗？，还是说我们需要解出一条直线的方程？
It depends what the problem is asking the question is, is it enough to find the components of a vector or do we have to find the equation of a line?
再说明一下，这是关于这两个向量场，多少有点奇怪的偏微分方程。
And just to tell you again that is a strange partial differential equation relating these two vector fields.
然后利用法向量得出切平面的方程。
And then get this equation for the plane using the normal vector.
重复一次，我现在的问题是什么？ 我的…这个方程问我的是适当地组合这三个向量，使之产生这个。
So, again, what's my problem？ My...what this equation is asking me to do is to combine these 3 vectors with a right combination to produce this one.
当我们已知平面上的两个向量，我们就可以找到，这个平面的法向量，然后我们就可以用法向量来找到方程。
When we know two vectors in a plane, it let us find the normal vector to the plane, and that is what we need to find the equation.
当然也有另一种方法，就是用参数方程表示这两条直线，用两条直线的方向向量作外积，从而得到切平面的法向量。
Another way to do it, of course, would provide actually parametric equations of these lines, get vectors along them and then take the cross-product to get the normal vector to the plane.
Meschach可以解稠密或稀疏线性方程组、计算特征值和特征向量和解最小平方问题，另外还有其它功能。
Meschach was designed to solve systems of dense or sparse linear equations, compute eigenvalues and eigenvectors, and solve least squares problems, among other things.
课程内容包括常微分方程、空间解析几何与向量代数、多元函数微分学、多元函数积分学和无穷级数等几大板块。
This course consists of several major parts such as ordinary differential equation vectors and analytic geometry derivatives integration and series.
采用矩阵迭代法可以直接迭代计算特征向量导数，避免了对奇异灵敏度方程的求解。
Using matrix iteration methods, the eigenvector derivatives can be iterated directly, solving the singular sensitivity equation can be avoided.
再根据哈密顿原理导出了悬索大挠度振动的有限体积离散方程，推出了索的整体节点力向量、质量矩阵和切线刚度矩阵。
The final finite-volume discretization equations are derived using the Hamilton principle. Meanwhile the global nodal force vector, mass matrix and tangent stiffness matrix of the cable are obtained.
在粗网格校正过程中，给出了一种近似求解位移向量误差的方程；
An equation to estimate approximately the error of the displacement vector was given in the correction of the coarse mesh.
应用特征向量的原理和方程具有无穷解时具有的特性产生水印，并采用相关值计算方法对水印进行检测。
The watermark is constructed on the basis of the theorem of eigenvector and the property of an equation which has innumerable solutions.
计算积分的方法、复数方法、无线级数、奇殊函数、微分方程、向量及矩阵、群论。
Methods in evaluating integrals, some complex variable methods, infinite series, special function, ordinary differential equations, vector and materials, groups and group representations.
本文讨论了由随机向量微分方程描述的多变量连续系统的辨识问题。
In this paper, the identification problem of stochastic multivariable continuous-time system which is described by a stochastic vector differential equation is discussed.
推导了以顺波、逆波为状态向量的应力波传播方程和杆形部件的作用力、速度传播的特征矩阵；
Stress wave propagation equations that incident wave and reflection wave are condition vectors are derived from three discrete forms as well as the characteristic matrix of the force and the velocity.
通过推导单元特征方程的解及应用虚功原理，建立了墙元的刚度矩阵和荷载向量。
Stiffness matrix and load vector were founded on developing eigen-equation for wall element and applying principle of virtual work.
列向量的诸元素为诸赘余力，可求解方程来得到。
The elements of the vector are the redundants which can be obtained by solving.
本文考虑在白噪声输入情况下，二阶向量差分方程随机输出信号的滤波估计问题。
In this paper a linear estimation problem for a stochastic process which is viewed as the output signal of a linear second-order vector difference equation driven by a white-noise input is considered.
然后，由虚功原理推导出了整体平衡方程中的广义刚度矩阵和荷载向量的具体表达式，并对其数值积分方法进行了讨论。
Then, the generalized stiffness matrix and load vector in the equilibrium equations are formulated by using the virtual work principle, and the numerical integration method is discussed.
另一类变量与向量函数呈非线性关系。 对于后一类变量，用弃舍随机方法先给出位置初值，然后将问题化为线性最小二乘问题，直接解超定方程组。
The overdetermined equations can be solved directly by using the rejection method to give the initial value of the position first and then converting the problem into a linear—square one.
导出了线元切向量的变形方程以及拉伸轴在极射赤面投影图上位置变化计算公式。
The purely kinematical equation for the tangent vector of a line element is derived.
由涡的定义导出的向量泊桑方程的积分形式的解析解，被用于低速风洞壁引起的干扰速度的计算。
The analytical solution of Poisson's equation, derived from the definition of vortex, has been applied to the calculations of interference velocities due to the presence of wind tunnel walls.
稀疏向量法通过利用向量的稀疏性来提高求解矩阵方程的效率，它被成功地应用到电力系统分析的众多问题。
The sparse vector method enhances the efficiency of matrix solution algorithms by exploiting the vector sparsity. It has been successfully applied to many problems arising in power systems.
求切平面方程的一般方法是先求切平面的法向量(借助偏导)，再用点法式写出切平面的方程。
The common method to quadric surface equation is to get the Normal Component first, and then write out the equation through dot method.
我的…这个方程问我的是适当地组合这三个向量，使之产生这个。
My... what this equation is asking me to do is to combine these 3 vectors with a right combination to produce this one.
本文从无阻尼系统出发，理论上分析了转子系统振动方程的特征根，特征向量所具有的特点。
In this paper, the properties of eigenvalues and eigenvectors of rotor systems are discussed. The derivation shows that eigenvalues are imaginary in non-damping systems, and eigenspaces are complete.
本文从无阻尼系统出发，理论上分析了转子系统振动方程的特征根，特征向量所具有的特点。
In this paper, the properties of eigenvalues and eigenvectors of rotor systems are discussed. The derivation shows that eigenvalues are imaginary in non-damping systems, and eigenspaces are complete.
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