查询词典 cauchy inequality

They see the United States, the affluent society is full of poverty, inequality and hypocrisy.

他们看到美国这个富裕的社会充满了贫困，不平等和虚伪。

They see the United States is full of affluent society such as poverty, inequality and hypocrisy .

他们看到美国这个富裕社会充满了贫困、不平等和虚伪。

First, a simple criterion on the delay-independent asymptotic stability has been derived in the form of the algebraic Riccati inequality and algebraic Riccati equation for the linear systems with time-varying multi-state delays.

4针对工业生产中广泛存在的不确定时滞过程，研究了时滞系统的渐近稳定性的判定方法和镇定方法。

Varma and Bojanov studied Landau's type inequality of algebraic polynomials based on Hermite function.

Varma和Bojanov研究了基于Hermite函数的代数多项式的Landau's型不等式。

To one kind of variational inequalities, some researchers give an alternating direction method, which solve a linear variational inequality and a system of nonlinear equations in each iteration.

针对一类变分不等式，有研究者给出了一种交替方向法，在每一步迭代中分别要求解一个线性变分不等式和一个非线性方程。

Amid such inequality and rapid change, it is not easy for the authorities to maintain stability.

在这样的不公平和如此迅速的改变中，政府要维持社会的安定是很难的。

Robust aposteriori L〓 filtering to noise inputting matrix uncertainty system can be reduced to the solution of a linear matrix inequality too.

对噪声输入矩阵不确定性情况下的鲁棒L〓验后滤波，本文的解法也归结为一凸优化问题，可有效的求解。

Without presuming the activation functions to be continuous, bounded and monotone nondecreasing, by utilizing linear matrix inequality and Cellina approximate selection theory in differential inclusion, a sufficient condition is provided to ensure existence of periodic solutions for that recurrent neural networks.

在并不要求激励函数连续、有界及单调非减的情况下，通过利用线性矩阵不等式和微分包含中的Cellina近似选择定理，得到了该神经网络模型存在周期解的充分条件。

In this paper we use pointwise modulus of smoothness to study approximation direct theorem and equivalent theorem for some linear operators and quasi-interpolant operators; Using pointwise modulus we discuss the strong converse inequality on K-functional; and using a modified weighted K-functional and weighted modulus of smoothness we study approximation with Jacobi weight on operator with non-zero first order moments.

本文利用点态光滑模ω_~(2r)来研究某些线性算子及逆中插式逼近正定理和等价定理；利用点态光滑模讨论其关于K-泛函的强逆不等式；同时利用一种改变的带权K-泛函和带权光滑模研究一阶矩不为零的算子的点态带Jacobi权逼近。

The concept of the weighted logarithmic power mean is introduced; its relation with two-parameter mean is given; the inequality for weighted logarithmic power mean is derived; the magnitude relation among upper bounds of geometric mean and arithmetic mean of geometrically convex functions are made certain.

建立了几何凸函数的对称拟算术平均不等式，对文献[1]提出的不等式进行了推广统一；引进加权对数幂平均的概念，建立起其与双参数平均之间的关系，得到加权对数平均不等式，从而确定了几何凸函数的几何平均、算术平均的上界的大小关系；最后，提出了几何凸函数的对称拟算术平均不等式的推广问题。

The IRS is not going to hang anyone by thumbs for this –it is a pretty common flub –but there is no point in letting it get any more completed than it is.

国税局不会因为这件事跟任何人过分为难——这是一件常犯的错——可是也没有理由把事情弄得更复杂。

The flow field of exhaust gas in Rocket Motor is a very complex physical and chemical process.

火箭发动机的燃气流是一个非常复杂的物理化学过程，其中的混合组分在高温，高压下，彼此间存在相互反应，混合气体常数、比热、绝热指数等都随温度和组分浓度等因素不断变化。