提出了新的对偶向量形式和新的对偶微分矩阵。
A new form of dual vectors and a new dual differential matrix is presented.
在弹性力学求解新体系中，将对偶向量进行重新排序后，提出了一种新的对偶微分矩阵，对于有一个方向正交的各向异性材料的三维弹性力学问题发现了一种新的正交关系。
In a new systematic methodology for theory of elasticity a new dual differential matrix is presented by the dual vectors over again sorted and a new orthogonality relationship is discover.
证明了在某种紧性条件下拟桶式空间的强对偶空间值的向量测度的唯一存在性。
In some tightness condition, the existence and uniqueness of a vector measure with values in the strong dual of a quasi-barreled space is proved.
讨论了抽象对偶系统中的向量值无穷矩阵变换，在一个所涉拓扑线性空间没有任何限制的情况下，得到了无穷矩阵变换理论的一个新结果。
For infinite matrices of linear and some nonlinear mappings between topological vector spares which have not any restriction, we establish a new result of infinite matrix transformations.
接着，利用函数的上次微分构造了不可微向量优化问题（VP）的广义对偶模型，并且在适当的弱凸性条件下建立了弱对偶定理。
Finally, the generalized dual model of the problem (VP) is presented with the help of upper subdifferential of function, and a weak duality theorem is given.
主要研究含矩阵函数半定约束和向量函数等式约束以及多个目标函数的多目标半定规划的对偶和鞍点问题。
The paper studied the multiobjective semidefinite programming with a semidefinite constraint of a matrix function and a multiobjective function.
提出了一个新的支持向量机模型——基于边界调节的支持向量机，并利用拉格朗日定理得到了这种支持向量机的对偶目标函数。
In order for an SVM to be more robust to noise, a new SVM model i. e., the support vector machine based on adjustive boundary SVMAB is proposed.
提出了一个新的支持向量机模型——基于边界调节的支持向量机，并利用拉格朗日定理得到了这种支持向量机的对偶目标函数。
In order for an SVM to be more robust to noise, a new SVM model i. e., the support vector machine based on adjustive boundary SVMAB is proposed.
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