查询词典 inequality

We obtained a kind of sufficient condition for 2-harmonic submanifolds becoming minimal submanifolds in hyperbolic space and an integral inequality like Simons integral inequality.

得到了双曲空间中2-调和子流形成为极小子流形的一个充分条件，以及一个Simons型积分不等式。

This paper presents some approximate algorithms for minimax nonlinear programs with inequality constraint s by using maximum entropy method and algorithms relevant to nonlinear programming with inequality constraint s,and convergence theorems concerning these algorithms are given.

结合极大熵方法与不等式约束非线性规划的有关算法，提出了求解不等式约束极小极大非线性规划的一种近似法，并讨论了算法的有关收敛

By redefining multiplier associated with inequality constraint as a positive definite function of the originally-defined multiplier, it is no longer necessary to convert inequality constraints into equality constraints by slack variables in order to reuse the method dedicated to equality constraints for constructing Lagrange neural networks.

若重新定义与不等式约束相关的乘子为正定函数，则在构造Lagrange神经网络时，可直接使用处理等式约束的方法处理不等式约束，不需再用松驰变量将不等式约束转换为等式约束，减小了网络实现的复杂程度。

As the condition of super-elasticity happening,a velocity constraint inequality is built.If the mass's velocity dissatisfies the inequality,the authors need to restrict and modulate the velocity,avoiding the super-elasticity.

该方法建立了一个速度约束不等式，作为超弹性现象是否发生的判断依据；并对不满足约束条件的质点速度进行约束调整，进而避免了超弹性现象的发生。

Using differential calculus knowledge to testify inequality, Calculus of higher mathematics is the core and calculus method of higher mathematics is typical of the whole mathematical method, the method is introduced for calculus ideas to solve the problem of finding an inequation, to make way for obtaining inequalities can be simple, the application of differential mid-value theorem and Taylor formula illustrate some of the inequality proof method.

运用微分学知识证明不等式；微积分是高等数学的核心，微积分思想方法是高等数学乃至整个数学的典型方法，微积分思想方法的引入为解决不等式证明的难题找到了突破，用来解不等式可使解题思路变得简单，文章应用微分中值定理及泰勒公式举例说明了部分不等式的证明方法。

In two inequalities concerning the circumradius and inradius of an n dimensional simplex in the n dimensional Euclidean space E n were obtained, Thus, the n dimensional Euler inequality and the inequality in , were improved.

给出了n维欧氏空间En中的两个关于单形外接球半径和内径的几何不等式，同时进一步改进了文［1］和［2］中的n维欧拉不等式。

The classical Poincaré s inequality plays a very important role in stability theory as well as in some other areas. It is widely used in academic research. For instance, the Poincarés integral inequality plays a pivotal role in the Arnolds non-linear stability theory.

在很多问题的研究中，经典的Poincaré不等式是一个非常重要的工具，用这个经典不等式作为研究问题的工具非常普遍，如Poincaré积分不等式在Arnold的非线性稳定性理论中起着关键性的作用。

In this paper, we generalized the reverse Shebyshev inequality and obtained the integral inequality of two vector function s, whose monotone of correspondence elements is reverse.

推广了反向Chebyshev不等式，得到了对应分量的单调性相反的连续向量函数的积分不等式和模的单调性相反的连续向量函数的积分不等式。

To fill this gap, the enhanced Poincaré inequality was obtained by considering the additional conservation law of momentum and by rigorous estimate of integral inequality.

为解决这个差异，利用周期带域上的Eady模型的动量守衡的性质，通过变分方法和积分的精细估计，建立一个加强的Poincairé积分不等式，从而证明了Eady模型的线性稳定意味着非线性稳定。

By solving theintegral inequality without impulses on each interval between two adjacent impulsive points, the solution of impulsive integral inequality is obtained step by step.

讨论了一个一般的脉冲积分不等式，利用两个邻近脉冲点间每个小区间上无脉冲积分不等式的解，一步步导出了脉冲积分不等式的解。

He is the most remarkable man that I have ever known.

他是我知道的人中最值得注意的人。

Increased appearance of lymphocele was noticed in patients with diabetic nephropathy, congenital malformations of the urinary tract, and inflammatory diseases, including glomerulopathy and extraglomerular ones, after high-voltage radiotherapy and after removal of the renal graft.

经过高压放射疗法和切除移植肾后，在糖尿病肾病患者、泌尿系统先天性畸形患者和炎症患者身上发现淋巴囊肿有所增加，包括肾小球病和球外疾病等。