不等式

By means of the Hausdorff-Young inequality of convolution integral, the convergence of the updating rule is analyzed in the sense of Lebesgue-p norm. Invention of the nonlinearity and the interaction on convergence are discussed.

通过卷积的 Hausdorff-Young 不等式，本文分析了学习控制律在 Lebesgue-P 范数意义下的收敛性，讨论了系统的非线性性和关联性对控制律收敛性的影响。

By using the approach of weight function, a new Hilbert-type integral inequality with some parameters and a best constant factor is given. The reverse form and the equivalent forms are also considered.

应用权函数的方法，建立一个新的含多个参量的具有最佳常数因子的Hilbert型积分不等式，并考虑了它的逆向形式及相应的等价形式。

By means of integral inequality and Kartsatos transformation, we investigate first-order impulsive delay dynamic equations on time scales. Several sufficient conditions of oscillation are obtained.

利用积分不等式和Kartsatos转换技巧，研究了时标上一阶时滞脉冲动力方程，得到了一些判断这类方程解的振动性的充分性条件。

Based on this integral inequality, we characterize the totally umbilical spheres and the Clifford torus by a certain pinching condition.

基於此积分不等式，我们可藉著某些夹挤的条件对全脐球面与Clifford环面进行分类。

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。

This paper makes use of a Lyapunov function and a nonlinear integral inequality of Gronwall-Bellman-Bihari type to study the asymptotic hehaviors of solutions of a second-order nonlinear functional differential equation.

本文利用李雅普诺夫函数及一个Gronwall—Bellman—Bihari型的非线性积分不等式，研究一类二阶非线性泛函微分方程解的渐近性态，在第一部份，给出一组方程的全体解可延展到t=+∞的充分条件及三组方程的全体解有界的充分条件。

This paper makes use of a Lyapunov function and a nonlinear integral inequality of Gronwall-Bellman-Bihari type to study the asymptotic hehaviors of solutions of a second-order nonlinear functional differential equation. In part I, a group of sufficient conditions is given on continuation of solutions and three groups of sufficient conditions are given on boundedness of solutuicns of equation.

本文利用李雅普诺夫函数及一个Gronwall—Bellman—Bihari型的非线性积分不等式，研究一类二阶非线性泛函微分方程解的渐近性态，在第一部份，给出一组方程的全体解可延展到t=+∞的充分条件及三组方程的全体解有界的充分条件。

We study its integral representation , estimate of coefficients,maximum modulus estimates.

本文引入了某族定义在单位圆内的解析函数，研究了它们的积分表示，系数估计，最大模估计及其子族的Fekete－Szego不等式，获得了一些较有关文献更一般的结果。

What is discussed in this paper is on the applications of the integral upper limit function in proving the equality, proving the inequality, calculating the repeated integral , the theorem of integratl mean value , prove the theorem of differention mean value .

给出了积分上限函数在证明等式和不等式、算累次积分、明微分中值定理和积分中值定理中的应用。

While this experiment is usually based on the intrinsic property of photons, i.e.

一般这样的实验都是利用光的偏振方向，也就是光子的「内秉」性质来测试二维的贝尔不等式。

In the negative and interrogative forms, of course, this is identical to the non-emphatic forms.

。但是，在否定句或疑问句里，这种带有"do"的方法表达的效果却没有什么强调的意思。

Go down on one's knees;kneel down

屈膝跪下。。。下跪祈祷