查询词典 partially differentiable function

In order to study the grating diffractive field's characteristics of the partially polarized and coherent beams, an analytic expression of polarization degree and angular correlation of partially ploarized and coherent beams through polarized gratings is derived based on the beam coherentce-polarization matrix approach of partially coherent beams.

为了研究部分偏振部分相干光光栅衍射场的衍射特性，利用部分偏振部分相干光的光束相干-偏振矩阵，推导出了部分偏振部分相干光通过任意偏振光栅后，衍射场的偏振度及场中衍射级次角相关的一般解析表达式。

Finite rank functions of closure spaces on partially ordered set ;2. Applying theory of partially ordered set s to study data envelopment analysis;3. Using theory of partially ordered set s to study data envelopment analysis

首先应用偏序空间理论，提出了井下测量对象的数据库论域命题，并论证了该命题的成立；然后提供了井下测量对象的NF2嵌套数据模型和测量对象的存储数据结构。

In this paper,we discuss the Walsh spectral characteristics of partially-bent functions over ring Znq(q=p1*p2,p1、p2 are primes),propose two new concepts―nonzero factor variant-permanently linear structure and zero divisor variant―permanently linear structure,classify the variant-permanently linear structure of partially-bent functions and show their correlation,obtain several new equivalent conditions of partially-bent functions on ring Znq,finally,point out the correlations among balance, linear structure and points taking nonzero spectrum.

本文在环Znq上讨论了部分bent函数的谱特征(q=p1*p2，p1，p2是素数)，得到了Znq上部分bent函数的几个新的刻划，揭示了部分bent函数的平衡性、线性结构点及非零谱值点之间的相互关系，并对部分bent函数的恒变线性结构点进行了分类，指出了它们之间的相互关系，提出了零因子恒变线性结构点和非零因子恒变线性结构两个新概念。

The results of its intrinsic fluorescence spectroscopy and fluorescence phase diagram showed that when the guanidine hydrochloride concentration in denaturation solution was about 1.0 mol/L, there existed a partially folded intermediate of Bacillus amyloliquefaciens a-amylase during its unfolding procedure, which followed a three-state model; the result of its fluorescence probe showed that when the guanidine hydrochloride concentration in denaturation solution was about 1.0 mol/L, there existed some stable hydrophobic regions, which could interact with a hydrophobic reagent 8-anilino-1-naphthalene sulfonic acid, in the partially folded intermediate of Bacillus amyloliquefaciens a-amylase; and the results of fluorescence quenching using acrylamide and potassium iodide as quenchers showed the distribution of Trp residues in Bacillus amyloliquefaciens a-amylase in different denaturation solution, with the maximum number (8) of tryptophan residues in a partially folded intermediate Bacillus amyloliquefaciens a-amylase molecule could be quenched by potassium iodide; and the results of their protein electrophoresis and SEC showed that no aggregate or aggregate precipitation of Bacillus amyloliquefaciens a-amylase formed during the whole unfolding procedure of Bacillus amyloliquefaciens a-amylase induced by guanidine hydrochloride.

内源荧光光谱和荧光相图结果表明，当变性液中盐酸胍浓度约为1.0 mol/L时，芽孢杆菌a-淀粉酶的去折叠过程中出现一个部分折叠中间体，其去折叠过程符合&三态模型&；荧光探针结果表明，在溶液中盐酸胍浓度约为1.0 mol/L时，中间态芽孢杆菌a-淀粉酶分子中存在着能够与探针分子1-苯胺基-8-萘磺酸结合的稳定的疏水区域；荧光猝灭研究给出了不同程度变性的淀粉液化芽孢杆菌a-淀粉酶中的Trp的分布情况，结果表明中间态芽孢杆菌a-淀粉酶分子中能够被碘化钾猝灭的位于分子表面的色氨酸残基数目达到最大的8个；蛋白电泳和体积排阻色谱结果表明，在盐酸胍诱导的芽孢杆菌a-淀粉酶分子的整个去折叠过程中，不会以共价键或非共价键形式形成芽孢杆菌a-淀粉酶分子之间的集聚体或集聚体沉淀。

The program is divided into five blocks: the main function, contracting keys function, numbers and decimal memory function, processing function, the value function, display function,rest function and positive and negative function.

将程序分为五个模块：主函数、判键函数、数字和小数点存储函数、运算处理函数、求值函数、显示函数、正负和清零处理函数。

Special attributes: func doc or doc is the function's documentation string, or None if unavailable; func name or name is the function's name; module is the name of the module the function was dened in, or None if unavailable; func defaults is a tuple containing default argument values for those arguments that have defaults, or None if no arguments have a default value; func code is the code object representing the compiled function body; func globals is the dictionary that holds the function's global variables — it denes the global namespace of the module in which the function was dened; func dict or dict contains the namespace supporting arbitrary function attributes; func closure is None or a tuple of cells that contain bindings for the function's free variables.

func defaults是一个包括有参数中设有默认值的元组；func name 或 name 是函数名。func code是一个编译后的代码对象；func globals是一个引用，指向保存了函数的全局变量的字典—-如果你在函数所在模块中定义了全局变量的话。func dict或 dict 包括了支持任意函数属性的名字空间；func closure 要么是None，要么是包括有函数自由变量捆绑的单元的元组。

Firstly, this paper definited pseudometric d for n -foldproduct of σ-algebra A of subsets of a given set X , and definited indicator function ; secondly, gave the concept of differentiable of set function at S° and concept of partial derivative at S° with respect to the ith argument Si through indicator function, and defound the weak efficient solution of and optimality necessary condition; Finally, obtained three weak duality results and strong duality results under generalized convexity conditions.

首先，对已知集X的子集的σ-代数A的n-折积A^n，定义了伪度量d，给出了相应的特征函数〈h，Is〉；其次，通过特征函数给出了集函数在S 可微的定义及集函数在S 关于第i个变量Si的偏导数定义；给出了多目标规划问题的弱有效解概念及的最优性必要条件；最后，分别在目标函数和约束函数的3种较弱凸性条件下，研究n-集函数多目标规划问题的对偶问题，获得了3个弱对偶结果和强对偶结果。

In chapter 2, we firstly introduce the model of a discrete-time neural network with generalized input-output function. The model generalizes the input-output function in transiently chaotic neural network to a class of continuous, differentiable and monotone increasing functions. Secondly we study the uniformly asymptotical stability of equilibrium in the non-autonomous model. Finally, several examples and numerical simulations are given to illustrate and reinforce our theories. In chapter 3, we firstly introduce a specific class of discrete-time neural network models with sinusoidal activation function.

在本文的第二章中，首先介绍了一类具有广义输入输出函数的非自治离散神经网络模型，该模型把瞬时混沌神经网络模型中的输入输出函数推广到了一般的单调递增且连续可微的函数；其次，利用Schauder不动点原理和利用Lyapunov函数逆定理依次证明了模型平衡点的存在性和该模型在时变权值下的一致渐近稳定性；最后，对几个具体的例子进行数值模拟，数值模拟的结果更好地说明了我们的结论。

At the beginning of this thesis, the author gives the definition and the equivalent definition of convex function, and then proves the equivalent relationship between them. Secondly the author proposes the decision theorem of convex function which provides a judgment basis of whether a function is a convex function. Thirdly the author summarizes and proves the convex function's operational, basic, differential and integral property. Finally the author proves several famous convex function inequalities, such as Jensen inequality, Holder inequality, Cauchy inequality. The author also provides the application of these inequalities and illustrates the importance of convex function's basic inequality and integral property in the proving process.

本文开始给出了凸函数的定义及等价定义，并证明了它们之间的等价关系；接着提出了凸函数的判定定理，对一个函数是否是凸函数提供判断依据；然后对凸函数的运算性质、基本性质、微分性质、积分性质四个方面的性质进行了总结，并给予了证明；最后证明了凸函数的几个著名不等式詹森不等式、赫尔德不等式、柯西不等式，给出了这几个不等式的一些应用实例，并举例说明凸函数的基本性质和积分性质在不等式证明过程中的重要作用。

At the beginning of this thesis, the author gives the definition and the equivalent definition of convex function, and then proves the equivalent relationship between them. Secondly the author proposes the decision theorem of convex function which provides a judgment basis of whether a function is a convex function. Thirdly the author summarizes and proves the convex function's operational ,basic , differential and integral property. Finally the author proves several famous convex function inequalities, such as Jensen inequality, Holder inequality, Cauchy inequality and Minkowski inequality. The author also provides the application of these inequalities and illustrates the importance of convex function's basic inequality and integral property in the proving process.

本文开始给出了凸函数的定义及等价定义，并证明了它们之间的等价关系；接着提出了凸函数的判定定理，对一个函数是否是凸函数提供判断依据；然后对凸函数的运算性质、基本性质、微分性质、积分性质四个方面的性质进行了总结，并给予了证明；最后证明了凸函数的几个著名不等式詹森不等式、赫尔德不等式、柯西不等式和闵可夫斯基不等式以及这几个不等式的应用，并举例说明凸函数的基本性质和积分性质在不等式证明过程中的重要作用。

"The operators will suffer a temporary decrease in the number of consumers and short message services as people may not like having to provide their ID cards for a phone number," Xu Junqi, vice-dean with the Policy-Making Institute of the Telecommunications Research Centre under MII, said yesterday.

信息产业部下属的通信决策研究院副主任徐俊其昨天说：&实行手机实名制后，人们可能不太情愿用身份证注册手机号，所以通信运营商会暂时面临用户减少和短信用户减少的问题。&

I don't believe in make-believe!

我不相信这些虚构的故事。