导出了关于混合模的耦合边界积分方程组及其退化形式，并用矩量法将之离散为齐次代数方程组，从而得波导的混合模传输常数；
The coupled boundary integral equations and their reduced forms are deduced for hybrid mode problems, and these equations are discreted into a system of linear algebraic equations by moment method.
对多孔介质快速干燥过程的传热与传质耦合方程组导出了两套代数显式解析特解。
Two algebraically explicit analytical solutions of the governing equation set for the coupled heat and mass transfer process of rapid drying in porous media are derived.
以能量原理为基础，推导出变截面压杆计算临界力的简便方法，把复杂的积分运算归结为一个简单的代数运算。
Based on energy theory, a simple critical force calculation for pressed beam with variable cross sections is derived. It reduces the complex integration algorithm into a simple algebraic operation.
然后我们将这些先验信念与一般多因素模型相结合，进而推导出模型中的截距项——的后验期望代数解。
We then combine these prior beliefs with a general multi-factor model and derive an analytical solution for the posterior expectation of "alpha", the intercept term from the model.
用矢量代数方法导出了弦步法与弧步法两组公式并作了例算对比。
The two sets of formulas for chord and are methods are derived by using vector algebraic method and some examples are listed for calculating and contrasting.
本文用矢量代数法推导出刀具刀尖安装得较高或较低时工作角度的计算公式。
In this paper, the formulas of working angles of the cutting tool for tool nose locating position changes are derived from vector method.
对气液两相非定常一元流动方程组导出了两套代数显式解析解。
Two sets of algebraically explicit analytical solution are derived for the partial differential equation set describing the one dimensional unsteady gas-liquid two phase flow.
利用矢量代数的方法，推导出以方向余弦为参量的物坐标系到世界坐标系的坐标变换矩阵；利用矩阵求逆的方法，推导出世界坐标系到物坐标系的坐标变换矩阵。
The coordinate transformation matrix based on the direction cosine parameters from the object coordinate system to the world coordinate system is derived by vector algebra.
利用一个特殊非协调矩形元导出了一个新的使用节点少而代数精度高的非常规数值积分公式。
In this paper, a new unconventional numerical quadrature with fewer node values is established based on a special nonconforming rectangular finite element.
该方法导出的格式是线性的，即在每个时间步长上只需解一个线性代数方程组。
The scheme resulting from this method is linear in the sense that it requires only to solve a single linear algebraic system at each time step.
采用线性代数的矩阵变换理论，推导出混合螺旋系线性相关性的一般性判据。
A linear independent general criterion of hybrid screw group was deduced based on the matrix transform theory of linear algebra.
文中导出了五次代数式缓和曲线的参数方程和曲线各元素的公式；
The parameter equation and the formula of each element of the curve are set up and compared with that of clothoid.
寻求移动变换机构中旋转角度计算的方法，给出了移动变换定义，按定义推导出了代数方程组。
The calculation of revolving angles is direct and forthright by combination of form and number.
介绍了导出平均场加一般对力核多体问题粒子数守恒严格解的无穷维李代数方法。
By using an algebraic method related to su(3) Lie algebra, exact solutions of the eigenvalue problem of the reduced Hamiltonian are derived analytically.
根据局部顶点李代数的同态，可惟一地诱导出由它们分别构造所得的顶点代数之间同态的理论。
The important relationship between local vertex Lie algebra and vertex algebra is stated so that we could construct a vertex algebra from local vertex Lie algebra.
根据局部顶点李代数的同态，可惟一地诱导出由它们分别构造所得的顶点代数之间同态的理论。
The important relationship between local vertex Lie algebra and vertex algebra is stated so that we could construct a vertex algebra from local vertex Lie algebra.
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