查询词典 inequalities

The result shows that the transformation from linear system of strict inequalities to minimax problem avoids the shortage of getting a boundary point solution and is satisfying.

最后在Matlab环境下给出了数值实验，实验结果表明，将严格线性不等式组问题转化为Minimax问题来求解，避免了得到边界点解的情形，得到的结果比较令人满意

In Chapter 7, we consider the numerical solution of system of mixed nonlinear variational inequalities in Banach space. The definition ofη—proximal mapping for a proper subdifferentiable functional is introduced.

我们先引入适定次可微泛函的η—逼(来源：ABCa776论文网www.abclunwen.com)近映射的概念，利用η—逼近映射的性质，提出了求解SMNVI的一些迭代算法，并证明了算法的收敛性。

Besides, motivated by a practical problem from molecular biology we encountered, we have studied the complicated system of inequalities with possible inconsistency involving multilevel "and","or" relationships.

此外，受分子生物学中一个实际问题的促动，我们还研究了包含多层"and"、"or"关系的可能不相容复杂不等式组问题。

We transforms the special linear system of strict inequalities into three kinds of minimax problems, and then solves it with the aggregate function method assisted with some corresponding method. At last the numerical experiment is done under the environment of matlab.

我们将其转化为三种形式的Minimax问题，对转化后的三种Minimax问题，用凝聚函数法分别将其目标函数光滑化，并分别用带Armijo不精确线搜索的最速下降法、带自适应参数修正的凝聚函数法以及既约梯度法来求解。

However, various algorithms of MFD have a common shortcoming, that is, the initial iteration point must be feasible, so an auxiliary procedure must be considered for finding an initial feasible point, i.e., a system of nonlinear inequalities must be solved before using the method of feasible directions, which is not easy to be finished in generally, especially for large scale problems.

然而，各类可行方向算法有一共同的缺点，那就是初始迭代点必须可行，从而需要一个辅助程序来寻找一个初始可行点，即在运用可行方向法之前先要求解一非线性不等式组，而这个问题通常不易解决，特别是对于大规模问题而言。

By applying existence theorems of maximal elements for a family of GB-majorized mappings in a product space of G-convex spaces, some coincidence theorem, Fan-Browder type fixed point theorem and some existence theorems of solutions for a system of minimax inequalities are proved under noncompact setting of G-convex spaces.

通过应用G-凸空间的乘积空间内一族GB-优化映象的极大元的存在定理，在G-凸空间的非紧设置下证明了某些重合点定理，Fan-Browder型不动点定理和极小极大不等式组的解的存在性定理。

Poincaré inequalities play an important role in the research of many fields such as in harmonic analysis and in theory and numerical method of differential equations.

Poincar 不等式在调和分析、微分方程理论及其数值方法等领域的研究中具有极其重要的作用。

In China, with mounting inequalities and disparate interests that need accommodating, it is not clear that the country's political system, top-heavy and authoritarian, is up to the task.

在中国，不断增加的社会不公及不同的利益需要协调。中央集权的国家政治体系能否应对这一任务仍不甚明朗。

But it is not an easy task to directly extend the linear triangle geometric inequality to the n-simplex, thus there are many geometric inequalities worthing exploring and researching when we extend the linear geometric inequality to the tetrahedron and the n-simplex.

而三角形中的某些线性几何不等式直接推广到维单形并不是一件容易的事，因而在推广到四面体中乃至维单形时还有许多几何不等式值得探讨和研究。

An easy task to directly extend the linear triangle geometric inequality to the n-simplex, thus there are many geometric inequalities worthing exploring and researching when we extend the linear geometric inequality to the tetrahedron and the n-simplex.

而三角形中的某些线性几何不等式直接推广到维单形并不是一件容易的事，因而在推广到四面体中乃至维单形时还有许多几何不等式值得探讨和研究。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。