查询词典 inequalities

In this paper We study existence of solutions of variational inequalities in a reflexive Banach Space,and acquire several existence results.

本文研究自反Banach空间中的变分不等方程解的存在性，得到了存在性的几个结果。

The answer is easy, as long as this still have already exploited and oppressed in the world, there will be the beggarliness and inequalities, will stir up the disaffection and old grudges, will produce the consciousness appearance of publicize the violence and turmoil.

答案很简单，只要这个世界上还有剥削和压迫，就会有贫穷和不平等，就会滋生不满和仇恨，就会产生宣扬暴力和动乱的意识形态。

Among those; studies, Liu and Bek have obtained many important results for the theory and applications of Banach spaces and their geometry on complex number,(see [3],[41])Here, we have investigated the TP modulus of convexity and TP modulus of smoothness, on the one hand, we have defined a class of new spaces called uniformly TP convex ,on the other hand, we have extended martingale inequalities and the martingale spaces.This article is divided into four parts, in the first part, we define the TP modulus of convexity and TP modulus of smoothness of Banach space, and prove that the space which is characterized by uniform convexity is same as the space which is characterized by TP uniform convexity. Then we give TP q-uniformly convex and TP p-uniformly smoothable characterization of the Banach space. At the same time, we prove the famous renormed theorem.

本文分为四部分，第一部分在Banach空间上定义了一个新的TP凸性模和TP光滑模并证明了在Banach空间上它分别和一致凸性和一致光滑性刻划的空间是同构的，即如果Banach空间X是一致TP凸的充分必要条件是存在一个等价范数，使得在此范数下，它是一致凸的；Banach空间X是一致TP光滑的充分必要条件是存在一个等价范数，使得在此范数下，它是一致光滑的，我们还分别得出了判定一致TP凸和一致TP光滑的一些充分必要条件，同时还证明了箸名的重赋范定理。

Based on the idea of Greene and Pachpatte, we get the estimations of unknown functions by combining the Bernoulli inequality with generalized Gronwall inequalities.

我们沿着Greene和Pachpatte的思想，结合Bernoulli不等式和推广的Gronwall不等式，给出了未知函数的估计。

The consent-assumption of bilateralism is in turn based on the concept of legal equality of states – factual inequalities play no role.

对双边主义的赞成和设想是基于各个国家"权利的法律平等"的观念——实际的不平等不起任何作用。

Functions, relations and graphs; inverse functions; inequalities; theory of equations; introduction to matrices; determinants; binomial theorem; sequences and series.

函数， 图表，曲线。反函数，不等公式，等式，矩阵的介绍，定列式，序列和系列等。

But when refers to linear system of strict inequalities, the linear programming method is not proper, as its result is often the boundary point instead of the solution.

但对严格线性不等式组，线性规划方法一般得到的是的边界点而不是问题的解。

This method is based on the work of reference [1]. By using the Riesz present theory in Hilbert space, we first transform the iterative procedure of variational inequalities into a fixed point form. Then, using the Schauder fixed point theory, we construct a numerical verification method with high efficiency that through numerical computation generates a bounded, closed, convex set in which the approximate solution is included.

通过Hilbert空间中的Riesz表示定理，首先将变分不等式问题的迭代过程转化为一种不动点形式，再利用Schauder不动点定理构造了一个高效率的数值证明过程，即通过数值计算产生一个包含近似解的有界闭凸子集。

Standard neural network model is the interconnection of a linear dynamic system and a bounded static nonlinear operator, which is depicted as a linear differential inclusion to be analyzed easily with linear matrix inequalities technique.

标准神经网络模型(SNNM-Standard Neural Network Model)由一个线性动力学系统和有界激励函数构成的静态非线性算子连接而成，被表示为线性微分包含的形式，便于利用线性矩阵不等式技术进行分析。

The first model is the optimization problems with s linear objective function subject to a system of fuzzy relation equations and a system of fuzzy relation inequalities, which are solved by using path method and 0-1 integer programming with branch and bound method.

第一种为约束为模糊关系方程和模糊关系不等式的具有线性目标函数的优化问题，采用路径法及0-1整数规划中的分枝定界法对其求解；第二种为约束为模糊关系方程和模糊关系不等式的格线性规划问题，采用直接法、路径法及0-1整数规划法对其求解；第三种为模糊关系不等式为模糊的，即约束中有一个可接受的容差，采用容差法及正负理想法对其求解；第四种是一种新的可能性模糊线性规划问题，采用模糊数大小比较法、"切片-粘贴"法及正负理想法，并设计了随机模拟的遗传算法对其求解；第五种为期望值模型，利用期望值将其转化为清晰约束系数的线性规划问题的方法。

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％。