查询词典 integer valued function

Methods The theories of topology, convex analysis and functional analysis are used to study and analyze some properties of the set-valued function in the problem.

依据拓扑，凸分析和泛函分析的理论，对于锥扰动向量优化问题中特定的集值映射进行分析和研究。

In long wave limit, these elliptic function wave patterns may degenerate into single valued localized excitations dromion and multi-lumps.

椭圆函数传播波之间的相互作用是非弹性的，而在长波极限下相应相干孤子激发Dromion，Lumps之间的相互作用可以是弹性的，也可以是非弹性的。

The function and limits of statistical thermodynamics in the developing of EOS are valued.

评价了统计力学在开发状态方程中的作用，并指出了其局限性。

A new definition of linear spectrum of multi-valued logical function s over finite field was proposed.

给出了新的一般有限域上多值逻辑函数的线性谱定义，并对两类谱的转换公式做了进一步简化。

In chapter 2, we first give a generalized type of the Prigons fixed point theorem and a straightforward proof of it. At the same time, we give a positive answer to an open question about convergency of iterative sequence for generalized contraction which is bring forwarded by Frigon in [3]. Secondly, by using the introduced function φ, we establish some fixed point theorems for the set-valued φ-contraction mappings in gauge spaces. These results unify and generalize the corresponding results of Cain and Nashed [1], Figon [3], Espinola and Kirk[4], Tarafder [5] et al.

第二章，首先给出Frigon不动点定理[3]的推广及其简洁证明，同时对Frigon在文[3]中提出的关于广义压缩迭代序列收敛性的公开问题给出肯定的回答；然后，通过引入φ函数，在度规空间上建立集值φ-压缩映射的不动点定理，统一并推广了Cain和Nashed[1]，Figon[3]，Espinola和Kirk[4]，Tarafder[5]等的相应结果。

Based on this reformulation, we first give the conditions under which the stationary point of unconstrained optimization problem is a solution of GNCP, and then give the conditions under which Hessian matrix of vector-valued function is nonsingular.

基于此转化形式，我们首先研究优化问题的稳定点为GNCP问题解的充分条件，然后建立无约束优化问题的向量价值函数的Hessian矩阵非奇异的充分条件。

To evaluate the effect of shear on deformation of beams, shear in beams under the action of a concentrated load is expressed in terms of a single-valued continuous inverse trigonometric function.

为了估计剪力对梁变形的影响，在集中力作用下梁内剪力用一个单值连续的反三角函数表示。

In this paper,the definition modes of Lebesgue integral of non-negative measurable functions are studied by the way of cutting defining and valued rids,approaching with simple function series.The four definitions of Lebesgue integral of non-negative measurable functions are given.Furthermore,their e- quivalence properties are proved by elementary knowledge.

文献〔1」利用非负可测函数在Ef镇司上积分的极限定义了f在有界可测集E上的L积分；文献[2」利用非负递增简单函数列积分的极限定义了非负可测函数的L积分；文献[3]给出了L积分的一种统一定义；文献〔4一6〕分别证明了测度

Then we prove a nonsmooth minimax theorem by usingsome relative results about multi-valued maximal monotone mappings. Finally, we construct a nonsmooth minimax network to search for thesaddle points of the saddle functional. We have also proved that thetrajectory of the network is asymptotically convergent to thesaddle point of the saddle functional by usying Lyapunov function.

我们先介绍有关Clarke的广义梯度，次梯度及鞍泛函的有关结论；然后利用多值极大单调映象的满射性结果证明了一个非光滑的minimax定理；最后建立了一个非光滑的minimax神经网络来求解泛函的鞍点，并在一定的条件下构造出LYAPUNOV函数来证明网络的轨道渐近收敛于鞍泛函的鞍点。

Firstly, the generalization of Fan-Ha section theorem and a general vector variational inequality without convexity assumption and minimax theorem of vector-valued function are obtained. Then, the quasi-montone vector variational inequality problem is concerned. Cx-quasi-monotone operator is defined in topological vector space, inner point of a closed convex set K is introduced, the relation between inner point and relative algebraic interior point is given, an existence result for quasi-monotone vector variational inequality is obtained.

第三章主要研究了向量变分不等式和极小极大定理(来源：3282AB83C论文网www.abclunwen.com)，建立了广义的Fan-Ha截口定理、新的向量变分不等式与极小极大定理，并在拓扑向量空间中定义了C_x-拟单调算子，引入了闭凸集K的inner点，给出了inner点与相对代数内点的关系，利用innK_c代替K的拓扑内部，建立了新的拟单调向量变分不等式。

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。