查询词典 fundamental lemma

In part V using Lions' second Concentrate Compactness Lemma andvariational method,we prove the existence of minimal positive solutionof a class of quasilinear elliptic obstacle problems〓in space〓.

第五部分使用Lions的集中紧性原理和变分方法，我们证明了一类非齐次拟线性椭圆型方程对应的障碍问题〓在〓中极小正解的存在性。

After that the existence of a nontrival solution for the elliptic system is proved by means of Mountain-Pass Lemma. At last, we present two examples to illustrate that our condition is weaker than Boccardo and De.

Figueiredo(2002)的条件更弱的条件下满足条件，并利用山路引理证明了这类拟线性椭圆型方程组非平凡解的存在性，最后举出两个例子验证了文中所给条件的确比Boccardo和De。

Technical analysis; AR-ARCH model; covariance inequality; Strong law of large numbers; Glivenko-Cantelli Lemma ; empirical distribution function; central limit theorem; dependence coefficients

基础科学，数学，概率论、数理统计技术分析； AR-ARCH模型；协方差不等式；强大数定律； Glivenko-Cantelli引理；经验分布函数；中心极限定理；相依系数

This paper mainly studies the following three contents:(1)After stating generalWardrop's network equilibrium principle, we describe a lemma which is the base ofthe definition of the equilibrium.

本文主要探讨了以下三个方面的内容：(1)、在叙述了Wardrop一般网络均衡原理之后，给出了定义一般均衡的一个引理。

Although the localic Urysohn lemma was proved by Papert in 1958 early, and then Dowker and Papert improved this proof, but the localic Tietze extension theorem, which is stronger in form and is more convenient to be used, has not been proved for more than thirty years.

虽然Locale形式的Urysohn引理早在1958年即已由Papert证明，9年后Dowker和Papert又对此证明加以改进，但形式上更强、更便于应用的Locale形式的Tietze扩张定理却三十余年未获证明。

Sheaths of upper culm leaves closed for 1/20–1/5(–1/4) of length; lower glumes (1 or)3-veined; lemma commonly with a bronze-yellowish band below apex, lateral veins mostly faint; vegetative shoots all or mostly extravaginal; p

上面秆叶的鞘为长度的1/20-1/5(-1/4)关闭；更低的颖片(1或者)3脉；有低于顶的一根青铜淡黄带子的通常的外稃，侧脉主要微弱；多数的营养体的嫩枝全部或extravaginal(多数很少是intravaginal)； p 2

Sheaths of upper culm leaves closed for 1/4(–1/3) of length; lower glume 1-veined, often sickle-shaped; lemma with or without a bronze-yellowish band below apex, lateral veins faint to prominent; vegetative shoots extravaginal and/or intravaginal; plants

长度，上面秆叶的鞘为1/4的(-1/3)关闭；更低的颖片1脉，通常镰刀形；有或没有低于顶，对突出微弱的侧脉的一根青铜淡黄带子的外稃；营养体的嫩枝extravaginal和/或intravaginal；植株 65 P。

We now prove the inequality in the other direction (which also follows from Fatou's lemma), that is

我们现在来证明另一个方向的不等式（它也可以通过法图引理证明），即

For the calculus of set valued functions,some convergence theorems about thePettis-Aumann integral,such as Fatou's Lemma,are mainly investigated;theproperties of the parametric Pettis-Aumann integral are gotten.

在集值映射的微积分方面，本文着重讨论了Pettis-Aumann积分的一些收敛定理，如Fatou引理等，并研究了含参变量Pettis-Aumann积分的一些性质。

Lemma 2 Let x be an fixed vector in V = Vn(F2) and let z be an indeterminate.

引理2 令x是V = Vn中的一个固定矢量，并令z是一个不确定值。

Summary In copyright infringement cases,if the alleged infringer uses or even plagiarizes the copyrighted works or parts thereof,which causes no substantially adverse effect on the normal exploitation of the work,nor does it inflict any substantial damages to the right owner,the de minis doctrine should be applied to exempt the liabilities of the defendant and seek the balance of interests between the right owner and the general public embodied by the copyright law.

在侵犯著作权案件中，如果被控侵权行为人虽未经著作权人的同意，使用甚至抄袭了受著作权保护的作品或作品的片段，但若情节轻微，未对该作品的正常使用产生任何实质不利的影响，亦未对权利人的权利造成实质性的损害，则应适用&不计琐细原则&，免除行为人的责任，以寻求在权利人利益与著作权法所体现的社会公共利益之间的平衡。

This new product will become our best seller.

这个新产品会成为我们最畅销的产品。