查询词典 energetic inequality

Based on the fundamental theory of impulsive differential systems, employing Green formula, Gauss divergence theorem, Jensen inequality and Gronwall-Bellman inequality with impulse, we discuss the oscillation of impulsive partial differential systems by adopting reduction to absurdity and the stability in via of comparison theorem, respectively. Especially, we take an in-depth study on the oscillation of neutral impulsive parabolic systems and the stability of a class of nonlinear impulsive partial differential equations and obtain some useful conclusions.

本学位论文以脉冲微分系统基本理论为基础，利用反证法的分析方法和比较定理，结合Green公式、Gauss散度定理、Jensen不等式、含脉冲的Gronwall-Bellman不等式以及相关数学工具研究了脉冲偏微分系统的振动理论和稳定性理论，特别对中立型脉冲时滞抛物系统的振动性和一类非线性脉冲偏微分系统的稳定性作了较为深入的研究，给出了一些有用的结论。

Recent studies on the geometric inequality for the n-dimensional simplex produce many important geometric inequalities;however,the study on the problem of the geometric inequality for the pedal simplex has been very few.

关于n维单形的几何不等式研究，近期建立了许多重要几何不等式，然而，关于垂足单形几何不等式研究还是比较少。

So Bell inequality and Entropy inequalitycorrespond to distance-related inequality;while partial energy transpositiontransformation and partial time-reversal transformation correspond to thechanges of certain geometrical parameter in vector expression of density matrix;and directly perceivable language description is available in entanglement region.

部分转置变换和部分时间反演变换对应于密度矩阵的向量表示中某些几何参数的改变，而纠缠区域更是可以有直观的语言描述。

Hilbet-type inequality is important in analysis and its applications. In recent years, by improving the way of weight coefficient, some research on the extensions and applications of this type of inequalities are developed. In this paper, we give a Hilbert infinite series inequality with the best constant factor whose kernel is a negative quadratic form by applying the method of weight coefficients. And an equivalent form is considered.

Hilbert型不等式在分析中有重要作用，近年来，由于改进权系数的方法，发展了这类不等式，并进一步推广应用和研究，应用权系数方法给出的一个带有最佳常数的核为负二次型齐次的Hibert型无穷级数不等式，同时考虑了它的等价形式。

Hobbes has become the focus of this thesis, mainly because of his extreme individualism. But If even in such extreme Hobbesian social contract theory claims that inequality still exist between men and women, then what is the source of inequality?

霍布斯之所以为本文论述代表，主要著眼於霍布斯极端的个人主义；若是即便在霍布斯此等极端的社约论主张之中，男女之间尚存在著对照鲜明的不平等，那麼不平等的来源究竟为何？

Based on a delay-dependent bounded real lemma, the condition under which a decentralized robust H(subscript ∞) output feedback controller exists is derived and it is available to be attributed to a solution to the problem of nonlinear matrix inequality which can be expressed in terms of a homotopy function properly selected. Then, with the homotopic iteration method and the Schur complement lemma introduced, the solution can be converted into an iterative solution to the linear matrix inequality.

基于一个时滞依赖有界实引理，将系统鲁棒分散H动态输出反馈控制器的解归结为一个非线性矩阵不等式的求解问题；选取适当的同伦函数来表示该非线性矩阵不等式，采用同伦迭代算法及Schur补引理，将求解非线性矩阵不等式转化为线性矩阵不等式的迭代求解问题。

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。

Diabetes is a social disease that affects several million people worldwide.

糖尿病是一个社会性疾病，全世界有数百万人罹患此病。

I'll call you on Friday to see if we can reschedule our luncheon meeting at your convenience.

我星期五会给您打电话在您方便的时候我们重新安排我们的午餐约会。