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.
同时，利用反变换法(代数法)进行运动学反解。
Meanwhile, utilizing algebra law, inverse kinematics equation is solved.
也考虑了在根与解的问越上代数方程与具有滞后的代数方程的等价性。
The equivalauce of roots and solutions between algebraic equation and algebraic equation with time lags is considered.
ICCG方法是解线性代数方程组较为理想的方法，但它仅适用于具有正定对称的系数阵。
The method ICCG. is one of the best iterative method for solving the system of linear algebraic equations, but it can only be applied to the symmetric and positive definite coefficient matrix.
在设计解此类问题的数值方法时，我们不得不考虑方法的这样三个特征：代数阶，周期稳定性以及相延迟性质，特别是相延迟性质。
When designing a numerical method for these problems, we have to consider three important features: algebraic order, periodicity stability and phase-lag, especially the phase-lag property.
本文应用共形几何代数分析串联机器人的运动学反解。
This paper applies conformal geometric algebra to analyze the reverse kinematics of serial robot.
本文用牛顿法解旋耕作业参数的代数方程，并通过计算机较准确地求出沟底不平度值。
An accurate solution for the roughness values of the furrow bottom is obtained by the Newton's method for the solution of algebraic equations with a computer.
讨论使用迭代法解线性代数方程组的误差检验问题。
In solving system of linear algebraic equation with iteration method, the error checking is discussed.
接着对速度空间提出一种类似的网格转移算子，并给出W循环的多重网格法来解对应的代数方程组。
Then a similar intergrid transfer operator is given for the spaces of velocity, and the W-cycle multigrid method is presented for solving the algebraic equations.
另外用代数多项式和双正弦级数组成的解来满足角点条件。
Moreover, the solution composed by algebraic polynomial with double sine series is used to satisfy the corner conditions.
然后研究支撑解系的特征、性质、代数结构。
Then we research the character, properties, and algebraic structure of supporting solution systems.
在第二部分第一篇论文中，我们系统研究了二维非交换李代数及其全形的可解性、完备性与非半单性等性质。
In the first paper of the second part , it studies two dimensional noncommutative Lie algebra and its solvability, completeness and nonsemisimplicity and so on .
用代数动力学方法求得了用泰勒级数表示的局域收敛的常微分方程的精确解。
By algebraic dynamical method, the exact analytical solutions of the ordinary differential equations are obtained in terms of Taylor series with local convergent radius.
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.
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.
本文给出了一类复代数微分程组亚纯解的特征估计。
This Paper investigates the characteristic estimation of meromorphic solutions of a class of systems of complex algebraic differential equations.
基本思想是首先利用圆盘状单裂纹之解以及局部坐标展开法将裂纹群问题化为求解一组线代数方程。
The basic idea is to use the single crack solution and the expansions of the local coordinates to reduce the complicated problem into a set of linear algebraic equations.
在内部，Z3使用真实代数数字用于表示解。
Internally, Z3 USES real algebraic Numbers for representing the solution.
本文将给出另一种并行算法。来求线性代数方程组的迭代解，并证明其收敛性。
The paper is intended to develop a parallel iterative method for solving positively definite linear algebraic equations, Its convergence has been proved.
交换环上矩阵代数的可解子代数和幂零子代数的自同构分解问题是一类重要的具有理论意义的研究课题。
It is theoretically important to solve the problems of decomposition of automorphisms of solvable subalgebra and nilpotent subalgebra of matrix algebra over commutative rings.
本文用生成元和定义关系的方法，对每个可解可补李代数给出一个定义矩阵。
A defining matrix is given for the solvable and complemental Lie algebras with a generator relation method.
由于集值算子在现代数学的广泛应用，本文还研讨了关于集值算子方程解的存在性；
Due to the wide applications of setvalued operators in modern mathematics, the solvability of the setvalued operator equations are studied.
然后引入导子理想、可解导子理想以及导子单代数的概念。
Then we introduce the conceptions of derivation-ideals, solvable derivation-ideals and simple derivation-algebras.
用一种简单的方法重新证明了以下定理：定理：假设A是可解的交错代数，则A是局部幂零的交错代数。
We reprove the following theorem with a simpler means: theorem: let a is the solvable algebra, then a is the local nilpotent algebra.
是近代数学中一个重要的待解问题之一。
Is one of the most important unsolved questions in modern mathematics.
定理3 可解李三超系的任意包络李超代数是可解的，而且若李三超系有可解的包络李超代数，则它也是可解的。
Theorem 3 Any enveloping Lie superalgebra of a solvable Lie triple supersystem is solvable, and if a Lie triple supersystem has some solvable enveloping Lie superalgebra, it is solvable.
另外，推荐了两种解算高次代数方程的方法：葛莱茀平方根法和牛顿—秦九韶法。
In addition, two methods for solving the higher algebraic equations are recommended, i. e., Grafull square root method and Newton-Jing Jiuzhao method.
另外，推荐了两种解算高次代数方程的方法：葛莱茀平方根法和牛顿—秦九韶法。
In addition, two methods for solving the higher algebraic equations are recommended, i. e., Grafull square root method and Newton-Jing Jiuzhao method.
应用推荐