不等式

An efficient mining algorithm named advance pruning was proposed which is based on the triangle inequality in metric space.

为此提出了一种利用度量空间中三角不等式的快速挖掘算法－提前修剪。

With regard to the Einstein-Podolsky-Rosen paradox and Bell's inequality, when it is said that the correlation between the separated particles violates locality, it is assumed that the topology and metric of the space have stayed fixed.

就爱波罗悖论（Einstein-Podolsky-Rosen Paradox）和贝尔不等式而言，当说分离粒子之间的关联违反了局域性时，它假定了空间的拓扑与量度是不变的。

Finally,as an application of the theorem,a new minimax inequality is given in general topological spaces.

最后，应用此非空交定理，在没有凸结构的一般拓扑空间中得到了一个新的极大极小不等式。

A section theorem, a minimax inequality and a generalized fixed point theorem where the underlying space is a product space of two topological vector space s, are given.

给出了两个拓扑向量空间的乘积空间上截口定理，极小极大不等式及一个推广的不动点定理。指出这3个形式不同的结果与Tychonov不动点定理是相互蕴含的。并且用截口定理直接证明了多值映射的一个重合定理

Equilibrium; continuous selection; the fixed point theorem; variational inequality; minimax theorem; H-space

基础科学，数学，数学分析均衡；连续选择；不动点定理；变分不等式；极小极大定理； H-空间

Chapter five has introduced some results of minimax inequalities briefly.

第五章简要介绍了极大极小不等式的一些结果。

And also,the Holder"s, Minkowski"s,Young-type inequalities and four interpolation theorems,which are hold on the Lebesgue spaces,are established on the homogeneous Morrey-Herz spaces MK_~ and the weak homogeneous Morrey-Herz spaces WMK_~.These results on the cor-responding homogeneous Herz space K_q~and the weak homogeneous Herz spaces WK_q~are also new.

同时把Lebesgue空间上成立的Holder、Minkowski、Young不等式以及四个插值定理推广到了齐次Morrey-Herz空间及弱Morrey-Herz空间WMK_~上，而这些结果在相应的齐次Herz空间K_q~和弱齐次Herz空间WK_q~上也是新的。

Two-point boundary value problems of second order mixed type integro-differential-difference equation is studied by means of differential inequality theories.

利用微分不等式技巧研究了某一类二阶混合型积分微分差分方程的两点边值问题，在上下解存在的条件下，得到了解的存在性和唯一性定理。

In modeling heavy tails,we focus on multivariate t distributions and derive the moment generating function of the quadratic approximation.Then we use Fourier transform,Chebychev's Inequality and numerical technique inversion to approximate VaR value of portfolio,compared with Cornish-Fisher Expansions normal model and Delta-Normal model.

在推导出多个外汇期权的投资组合的二次近拟的矩母函数表达式基础上，本文使用傅里叶变换、切比雪夫不等式、数值转换计算求出投资组合的VaR的值，并和基于多元正态分布Cornish-Fisher模型以及基于Delta-正态模型计算所得的VaR值了进行比较。

Oil film forces and its Jacobian matrix at any moment of sliding bearing with finite length is determined using finite element method based on the variational inequalities principle.

根据不等式变分原理，采用有限元离散化方法，求解有限长径向滑动轴承任一时刻的油膜力及相应的Jacobi矩阵。

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％。