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A new definition on canonical convex multiplier is given with a canonical dual method for the primal problem. Some examples are illustrated.

给出了凸乘子定义，对偶定理和搜寻全局最优点的方法，并通过一些例子加以演示。

Do not worry, we do not have to replace the power transformer, with care to remove the transformers, power transformers from the outside observation of the primary coil (that is, then one end of the 220V power), to see that the convex side.

不要担心，我们不必更换电源变压器，只要小心的取下变压器，从外表观察电源变压器的初级线圈(也就是接220V 电的那一端)，看哪一边凸一点。

This paper studied the iterative approximation problem of fixed points for asymptotically quasi-nonexpansive type mappings with mixed errors in uniformly convex Banach space.

研究了一致凸Banach空间中渐近拟非扩张型映象不动点具混合误差的迭代逼近问题，改进和推广了相关文献的结果。

Furthermore, we determine the nonorientable crossing number sequences of those graphs by their crossing numbers on the projective plane and the embedding technique. Then we show that the nonorientable crossing number sequence of C(10,4) is non-convex.

利用子式理论的部分结果，证明了一些循环图C(10，4)，C(9，3)，C(8，3)在射影平面上的交叉数，再利用嵌入技巧，得到了它们的不可定向交叉数序列，并证明C(10，4)的不可定向交叉数序列不是凸的。

In the framework of separable locally convex metric spaces, we give scalarization theorems on Benson proper efficiency and study Benson proper efficient solutions of vector optimization problems involving nearly subconvexlike set-valued maps.

中文摘要：本文在可分局部凸距离空间的框架下，给出了Benson真有效点的标量化定理，并研究了几乎次类凸集值映射向量优化问题的Benson真有效解。

A theorem of the alternative for the generalized subconvexlike set-valued maps is established using the separation theorem of convex sets in a Banach spaces, the concept of weak Benson proper efficient elements for a vector optimization problem is introduced, and the optimality necessary and sufficient Lagrange conditions for a vector set-valued map constrained optimization problem with the weak Benson proper efficiency is developed, with which the optimality Lagrange conditions for a nonconvex vector top-base constrained optimization of set-valued maps with the Benson proper efficiency are obtained.

刘莹 ，刘三阳，盛宝怀运用凸集分离定理对广义锥次类凸集值映射建立了一种择一性定理。引入向量优化弱Benson真有效元的概念，对带约束的非凸向量集值优化问题建立了在弱Benson真有效意义下有效元应满足Lagrange乘子型的必要及充分条件，并用这一结果建立了多目标主从非凸向量集值优化在弱Benson真有效意义下最优解的Lagrange乘子型充要条件。

Strong pseudoconvex function is one of the important convex functions.

强伪凸函数是凸函数的重要推广函数之一。

A new approach of construction of 3D objects with rotation of 2D convex quadrangle is presented.

提出了一种能用凸四边形表示并可作平面展开的三维实体造型的设计方法。

A rounded convex molding, often a quarter section of a circle or a n ellipse.

凸圆线脚装饰一个圆的凸圆体塑模，通常为一圆或椭圆的四分之一部分

A rounded convex molding, often a quarter section of a circle or an ellipse.

凸圆线脚装饰一个圆的凸圆体塑模，通常为一圆或椭圆的四分之一部分

Liapunov—Schmidt method is one of the most important method in the bifurcation theory.

Liapunov—Schmidt方法是分叉理论的最重要方法之一。

Be courteous -- even when people are most discourteous to you .

要有礼貌──即使当別人对你最不礼貌的时候。