查询词典 Fresnel integral

In this thesis,we consider the problem basing on the Picard-Fuchs equationand bifurcation theory,also using known methods and techniques.We establish therelationship between the number of zeros of the Abelian integral and the number ofintersection points of the"centroid curve"with any straight line.

本文以Picard-Fuchs方程和分岔理论为基础，充分利用已有的方法和技巧，把对Abel积分零点个数的研究转化为对"质心曲线"和任意直线交点个数的研究。

The mathematical models of minimal object function and tabu mutation operator for the performance index of error absolute value time integral were established.

该方案建立了误差绝对值时间积分性能指标的最小目标函数和禁忌变异算子的数学模型。

Based upon our first paper and continuing the "Standard candle" classification by use of the component linear distance D, we attain to the following statistical correlation of some type of Quasars with largest angular diameter Q_: the correla- tion between visual magnitude and redshift; the correlation between its absolute magnitude, radio-luminosity of single frequency, integral radio Iuminosity, colour in- dex difference Q and D.

本文在第I部分的基础上，继续用类星体射电子源线距D进行"标准烛光"分类，经过统计分析，得到了子源角径最大的一类类星体的一些统计规律：它的视星等与红移之间，它的绝对星等、单频射电光度、积分射电光度和色指数差Q与D之间有很好的相关性等。

On the whole, we do as follows: Firstly, we list some conceptions and lemmas for later use. Secondly, we inducted the absolute value norm in the two-dimensional vector interspace, and also proved the two-dimensional vector interspace is a Banach Interspace. Thirdly, we define two-dimensional vector-valued functions on a interval by the definition of -fine partitions in part 1. Then, some sufficient and necessary conditions of integrabel are given, and discuss the property of the integral on two-dimensional vector-valued functions.

主要包括以下内容：在第一部分，我们介绍了本文所用到的几个基本概念和引理；第二部分，我们在二维向量空间中引入了绝对值范数，并且证明了二维向量空间是一个Banach空间；在第三部分中，通过第一部分关于-精细分划的定义，我们给出了在某区间上二维向量值函数积分的定义以及可积的充分必要条件，并讨论了二维向量值函数积分的一些性质。

To establish an absolute thermodynamic scale we choose the integral factor which is independent of the nature of any particular substance to p...

我们选用与物质本质无关的积分因子λ作为测温性质，建立起热力学绝对温标。

Unsteady flow field due to rotor-stator interaction in turbomachinery is studied in this paper. The integral kinetic equations with absolute and relative velocity are derived.

本文以叶轮机械内部动静部件耦合的非定常流场为研究对象，在绝对坐标系下建立了包含绝对速度与相对速度的统一运动方程组。

In chapter 4 by means of the decomposition technique of Bojanic and Cheng together with some analysis methods we study rates of convergence of sequence of integral Baskakov operators for a class absolutely continuous functions.

第四章主要讨论了积分型Baskakov算子对绝对连续函数的逼近阶估计。在这章中主要利用经典的Bojanic-Cheng分解方法，结合分析技术，讨论了积分型Baskakov算子对绝对连续函数的点态收敛阶。

The definition of the absolute value for a fuzzy number is obtained.Furthermore,a lot ofproblems,such as absolute integrability,bounded variation and absolute continuity,arepresented and discussed.The representation theorem of the absolute values of fuzzy num-bers is established.It plays an important role in discussing the problems conceming theabsolute value.The relation between the absolute integrability and integrabili-ty is discussed,and the following result is obtained:aintegrable fuzzy-number-valued function is absolutely integrable iff it is integrable.The relation between theabsolute integrability and the absolute continuity of the primitive for fuzzy-number-valuedfunctions is dealt with.It is also pointed out that a fuzzy number valued function is ab-solutelyintegrable if and only if its integral primitive is fuzzy absolutely continuous.

提出了模糊数绝对值的概念并讨论了与绝对值相关的一系列问题，如绝对可积性、有界变差性、绝对连续性等，给出了模糊数绝对值的定义以及表示定理，该表示定理在涉及绝对值问题的讨论中起非常重要的作用；讨论了绝对可积与可积之间的关系，得到了结论：可积的模糊数值函数绝对可积的充要条件是该模糊数值函数可积；给出了模糊数值函数绝对可积与其积分原函数绝对连续性之间的关系，指出模糊数值函数绝对可积的充要条件是其原函数模糊绝对连续。

By using the expansion of spherical wave functions for a cylindrical wave function and with the help of the theory of hypergeometric functions, the Sommerfeld type integral contained in the electromagnetic fields is expressed as a rapidly and absolutely convergent series of spherical wave functions; and the coefficients of the series are the Legender Polynomials with the complex argument for the constitutive parameter.

应用圆柱波函数的球面波展开式和超几何函数理论，场分量中的索末菲尔德型积分被表示成快速、绝对收敛的球面波函数系展开式；展开系数是以物性参数为复宗量的勒让德多项式。

By using the expansion of spherical wave functions for a cylindrical wave function and with the help of the theory of hypergeometric functions, the Sommerfeld type integral contained in the electromagnetic fields is expressed as a rapidly and absolutely convergent series of spherical wave functions; and the coefficients of the series are the Legender Polyno...

应用圆柱波函数的球面波展开式和超几何函数理论，场分量中的索末菲尔德型积分被表示成快速、绝对收敛的球面波函数系展开式；展开系数是以物性参数为复宗量的勒让德多项式。

The use of the web to spread fears that flicking the switch on the LHC could create a Black Hole that could swallow up the Earth particularly concerned him, he said.

他说，使用互联网散布恐慌说启动LHC会生成一个可能吞噬地球的黑洞的做法让他感到忧虑。

Not a single word have I written down.

我一个字也没有写下来。