Aiming at the mechanism character of a multi axes robot the location kinematics negative problem was solved by simple Descartes geometry instead of general matrix transform.
针对一个教学型多关节机器人的机械特点，不用一般的齐次转换的方法而是用简单的笛卡儿几何的方法解决了其运动学逆问题。
The methods used in this dissertation include matrix, algebra as well as differential geometry theory.
本文采用的研究方法有矩阵方法，代数方法和微分几何理论。
With matrix conversion of geometry optics as a basis, simulation and modeling for complex multi-lens imaging optical system for four-quad splitting are carried out through light ray trace.
以几何光学的矩阵变换为基础，通过光线追迹的方法，对四象限分光的多透镜成像复杂光学系统进行仿真建模。
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.
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。
Twelve structures with lower energy was obtained via metric matrix distance geometry and refinement with simulated annealing.
利用度量矩阵距离几何法计算了其三维空间结构，并进行了结构的优化。
The thermal residual stresses can be indicated as a function of the properties of fibers and matrix materials and geometry of twisted fiber bundle.
这种热残余应力可以表示为纤维、基体材料性质以及纤维束几何参数的函数。
Firstly, the Green function's source point and field point symmetry and geometry symmetry are discussed, and based on these, symmetry properties used in the matrix solving are discussed.
首先分析了格林函数的场点源点对称性和几何对称性，并由此入手，对对称性在速度势求解矩阵中的应用进行了分析。
The preconditioner is generated from the target's "geometry structure " and not from the "matrix element", which assured the computational complexity for generating the preconditioner is only O(N) .
在构造预条件因子时，采用从目标的“几何结构剖分”出发，而不是从“矩阵元素”出发确定“基权函数之间的作用量关系”，这样保证了构造预条件矩阵的计算复杂度仅为O（N）。
Aiming at the mechanism character of a multi axes robot, the location kinematics negative problem was solved by simple Descartes geometry instead of general matrix transform.
针对一个教学型多关节机器人的机械特点，不用一般的齐次转换的方法而是用简单的笛卡儿几何的方法解决了其运动学逆问题。
The substructure boundary element-transfer matrix method is presented for duct system of greater length or mufflers with complex geometry.
对于较长或具有复杂形状的管道及消声器，提出了子结构边界元——传递关系矩阵法。
Based on the testing results, the influence of matrix strength grades and fiber geometry on shear behaviors was discussed and the mathematics model of shear behaviors was established.
根据实验结果，探讨基体强度等级和纤维外形对混凝土抗剪性能的影响，并根据材料复合理论建立起钢纤维混凝土抗剪性能的数学计算模型。
Based on the testing results, the influence of matrix strength grades and fiber geometry on shear behaviors was discussed and mathematics model of shear behaviors was established.
根据实验结果，探讨基体强度等级和纤维外形对混凝土抗剪性能的影响，并根据材料复合理论建立起钢纤维混凝土抗剪性能的数学计算模型。
In the nineteenth century, the system of algebraic knowledge is enormous, which contains the permutation group, matrix, algebraic number theory, algebraic geometry and other branches.
十九世纪的代数学知识体系庞大，它包含置换群、矩阵、代数数论、代数几何等多个分支。
In the nineteenth century, the system of algebraic knowledge is enormous, which contains the permutation group, matrix, algebraic number theory, algebraic geometry and other branches.
十九世纪的代数学知识体系庞大，它包含置换群、矩阵、代数数论、代数几何等多个分支。
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