查询词典 implicit function theorem

The intermediate value theorem for discontinuous function is studied,the problem of discontinuous points when the left and right limit exists is considered by ZHU Le-min.

研究了非连续函数的介值定理，受朱乐敏等考虑的具有左、右极限存在的跳跃间断点的非连续函数的介值性定理的启发，利用上、下极限把介值定理推广到具有一般间断点的非连续函数的情况。

In studying applications of CABMUT, it discusses how to estimate disputant's utility. For the situation with incomplete information, it defines the satisfaction function as a measure of disputant's utility, and gets the satisfaction programming and uses it to prove the existence theorem of fair and F——marginal solutions.

在应用方面，该方法讨论了关于冲突者的效用估计问题，特别是对不完全信息的冲突局势，采用满意函数量度冲突者的效用后，得出了满意规划模型，并用之证明了公平解、边际解的存在性定理。

By using modified conditions for dominant function,we establish extended dominated convergence theorem and obtain an application to integral operators with weak singularity , which simplifies the proof of the classical conclusion.

本文研究了一类推广的控制收敛定理及其应用，利用对控制函数满足条件的修改，建立了推广的控制收敛定理，获得其在弱奇异性积分算子中的应用，简化了经典结论的证明。

By using the limits of functions and the exchange limit theorem,we considered the relationship between the double limit of function with two variables and its repeated limit s.

应用函数列的极限与函数的极限交换次序定理，研究了二元函数的二重极限与它的两个累次极限的关系定理，研究了二元函数的两个二阶混合偏导数可交换次序定理。

Applying the convexification of nonconvex function and the theorem in Chapter 2, we establish the perturbed optimization in the bounded subsets of the dual of locally convex spaces

运用非凸函数凸化的方法以及第二章给出的命题，在局部凸空间的对偶空间的有界子集上建立相应的的扰动优化和变分原理

Based on the duality theorem of linear programming, the directional derivatives of the objective function can be expressed as a linear programming which is very important in the practical calculation for nonmono tone line search subproblems.

基于线性规划的对偶定理，目标函数的方向导数可以表示成线性规划问题，这在实际计算非单调线搜索子问题时是非常重要的。

In this paper, the nonexistence of the closed orbit which circles the equilibrium is proved by using the Dulac function, then all the orbits of the system are bounded by the Filippov transformation and comparability theorem.

本文利用Dulac函数法，首先判定了不存在绕平衡点的闭轨线，然后利用Filippov变换和比较定理，证明了系统所有轨线的有界性，进而得到了平衡点是全局渐近稳定的。

Double pendulum ; analytic method ; Whittaker's theorem ; elliptic function ; integrable system

双摆；解析方法；惠特克定理；椭圆函数；可积系统

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

The unique existence theorem for minimal determining set of non-binarycomplete rational choice function is also obtained.

构造并证明了非二元性完全理性选择函数的最小决定集的存在惟一性定理。

Don not attempt to do something which you can not to do.

不要企图做那些办不到的事情。

The expression of CTGF and TNF-αweredetected by immunochemistry and the number of Clara Cells was calculated.

光镜下观察肺组织的病理变化，采用免疫组化染色观察肺组织中结缔组织生长因子和肿瘤坏死因子-α的表达和Clara细胞的数量。