查询词典 equivalent functions

We give some equivalent characterizations of Bloch type functions in term of fractional derivative, via studying the relative of growth of the different order fractional derivatives of holomorphic function, including the form of supremum and limit, the form of integral and Carleson measure, which are the generalizations of some known results in the unit disc and in the unit ball.

我们从研究全纯函数分数次导数的增长性入手，利用分数次导数给出了它的一类刻画，包括上确界和极限形式的特征，积分形式的特征以及Carleson测度形式的特征，推广了单位圆盘和单位球上一些已有的结论。

Further more, the equivalent boundary integral expressions of the set of potential functions satisfying the inhomogeneous field equation are rigoro...

获得 Poisson问题的间接变量等价边界积分方程；通过一些例子，详细讨论了传统的外问题和边界积分方程的形式，表明它们不具有普遍适用性

Using a method of algebraic transformation such as power series expansion, it is found that, three crop water production functions, the Jensen mold, Rao model and Stewart model, are transformable mutually, and their water sensitive indices are approximately equivalent.

通过幂级数展开等代数变换发现，3种作物水分生产函数Jensen模型、Rao模型和Stewart模型可以近似相互转化，其各自水分敏感指数近似等价。

This paper systemically introduces the history and current status of the study on the problem of orthotropism and displacement back analysis, recounts and concludes the analysis theory about anisotropic rock mass, brings forward some models of displacement back analysis of the rock such as layered orthotropic model, proportional coefficient model, layered homogeneous model and equivalent simplificated model, and establishes target unknown, target functions and arithmetic for these models respectively, through analyzing the character of layered orthotropic rock mass.

本文系统介绍了正交各向异性问题和位移反分析方法研究的历史与现状，叙述与归纳了各向异性岩体的分析理论，通过分析成层正交各向异性岩体的特点，对该类岩体的反分析方法提出了分层正交各向异性模型、比例系数模型、分层均质模型和等效简化模型，并对各类模型分别确定了目标未知数、目标函数与算法。

This is a VC into the Paint program, which is equivalent to a small drawing software, commonly used functions are available.

说明：这是一个用VC写成的画图程序，相当于一个小型的画图软件，常用功能都已经具备。

In the path integral formalism, we represent the generating functional and Green functions of Φ〓 theory by taking account of that the partial and the functional derivatives commute. Also we discuss the effective action for noncommutative scalar fields, and show how the noncommutative phase factors appear in path integral formalism. We realize that the two approaches (path integral and canonical quantizations) are completely equivalent each other.

在用路径积分方法对非对易标量场进行研究时，我们利用偏微商和泛函微商的可交换性，给出了Φ〓场格林函数和格林函数生成泛函的具体表达形式，得出了非对易相因子在路径积分方法中的具体表现形式，并对连通格林函数和有效作用量等问题做了讨论。

The rigorous study of real numbers and functions of a real variable is known as real analysis , with complex analysis the equivalent field for the complex numbers .

严格的研究实数和实变量函数被称为实分析，复分析与复数的类似领域。泛函分析的重点是函数空间。分析的功能之一是许多应用量子力学。

Finally we derive the equivalent transfer functions using reduction rules and interesting important performance indices, for example, steady probability, mean first and nth passage time, mean recurrence time, the mean sojourn time, and counters of the transition and place can be find.

最后用化简规则获得等效传递函数，求出我们关心的重要参数的数值。

But we will see that the Turing machine and the RAM are equivalent from many points of view; what is most important, the same functions are computable on Turing machines and on the RAM.

但是，我们将看到，图灵机和内存相当于从许多观点；什么是最重要的是，同样的职能是可计算的图灵机和内存。

Embedding the gradient direction search and new kinds of evaluation functions into the Genetic Algorithm, a special hybrid Genetic Algorithm with mutation along the weighted gradient direction to solve non-linear programming problems is developed. Then in Chapt 4, a type of nonlinear programming problems with fuzzy objective and fuzzy resources constraints is discussed, in which the objective is ill-defined and the resources possess two different types of fuzzy resources, i. e., tolerance and imprecision. By way of description and formulation of fuzzy objective and fuzzy resources, the problem with fuzzy objective and two different types of fuzzy resources is modelled into a fuzzy nonlinear programming model FO/RNLP and interpreted as three equivalent alternative crisp model to reflect the variety of the environment and the subjective and preference of the decision maker .

本文首先针对遗传算法在求解非线性规划问题中存在的问题，首次提出非可行点／染色体的主导准可行方向，准可行方向，及非可行点属于可行域的可行度等新概念，借助于模糊思想，提出了描述和度量非可行染色体的新方法；通过嵌入非可行染色体的信息于评价函数中，提出了三种新的评价非可行染色体的评价函数；把传统的启发式方法-梯度方向搜索和新的评价函数嵌入到遗传算法中，提出了一种沿加权梯度方向变异的新型混合式遗传算法；第四章针对生产实际中非清晰定义的模糊目标和两种类型的模糊资源，建立了一类连续型模糊目标／资源约束非线性规划问题的模型FO／RNLP。

As she looked at Warrington's manly face, and dark, melancholy eyes, she had settled in her mind that he must have been the victim of an unhappy attachment.

每逢看到沃林顿那刚毅的脸，那乌黑、忧郁的眼睛，她便会相信，他一定作过不幸的爱情的受害者。

Maybe they'll disappear into a pothole.

也许他们将在壶穴里消失