查询词典 Bessel functions

Another part of our work begins with definition of multioutput generalized bent functions. We show their spectral characteristics and give equivalence definition using generalized first order Chrestenson cyclic spectrum. Also we calculate rate of accordance between multioutput generalized bent functions and multioutput m-valued affine functions. Then we define multioutput m-valued perfect nonlinear functions and show relationship between them and multioutput generalized bent functions. Finally we give two ways of constructions of multioutput generalized bent functions.

第三章中首先给出了剩余类环上的多输出广义Bent函数的定义，得到了多输出广义Bent函数的广义一阶Chrestenson谱特征，然后计算了多输出广义Bent函数与多输出m值仿射函数的符合率；接着定义了多输出m值完全非线性函数，讨论了多输出m值完全非线性函数与多输出广义Bent函数之间的关系；最后给出了两种构造多输出广义Bent函数的方法。

This is a vast collection of computational algorithms ranging from elementary functions like sum, sine, cosine, and complex arithmetic, to more sophisticated functions like matrix inverse, matrix eigenvalues, Bessel functions, and fast Fourier transforms.

MATLAB 的工具箱函数库收集了大量的数学函数，从求和，正弦，余弦以及复杂的算术运算等基本函数，到矩阵求逆，矩阵求特征值，贝塞尔函数和快速傅里叶变换等复杂函数。

A new method based on the Fourier-Bessel series is proposed to calculate the higher-order harmonic components of a nonlinear ultrasound field in absorbing medium and an analytical solution of a series form is obtained. A closed analytical solution of the higher-order harmonics in the zeroth-order Bessel ultrasound field and the focused Gaussian ultrasound field is deduced to study the field property, especially the near-field property.

提出了一种基于Fourier-Bessel级数的新方法，用于计算吸收媒质中非线性超声场的高次谐波分量，得到其级数形式的解析解，由此推导出吸收媒质中零阶Bessel超声场、Gauss聚焦超声场高次谐波的封闭解析解，进而对其声场特性尤其是近场特性进行了研究。

Code of drawing a map in Bessel Newmann function, WINDOWSthe generalized Bessel equation and the Hankel function.

并利用球Bessel函数与半奇数阶Bessel函数的关系计算了本征函数的模方。

Moreover, the quasi-analytical expressions of the relative concentrations at the mobile region and the immobile region are deduced respectively by using Bessel equation, Bessel function and the method of Laplace transform under the initial concentration zero and the first or second boundary condition of a semi-infinite one-dimensional space.

并分别在初始浓度为零，半无限一维空间内第一类边界条件和第二类边界条件下，利用Bessel方程、Bessel函数和Laplace变换法推导出了可动区和不动区溶质相对浓度的准解析表达式。

Finally the connections between the Lebesgue measure for its image and Bessel-Ricsz capacity are discussed and an explicit Bessel-Riesz capacity estimate is obtained.

利用鞅的方法讨论了广义布朗单的碰撞概率与容度之间的关系，给出了其碰撞概率的容度估计。

In this paper, the propagation and focus properties for several modes describing hollow beam are analyzed, and the focus properties for hollow gaussian mode are particularly discussed. Furthermore, a new mode, high-order Bessel-Gauss mode, is put forward to describe hollow beams. The results for high order Bessel-Gauss beams propagating through lens focusing system and free space are derived by terms of Collins integral formula.

本文分析了几种描述空心光束数学模型的传输特性和聚焦特性，着重讨论了描述非中空光束的数学模型的聚焦特性；同时提出了一种描述完全中空的空心光束的新模型――高阶贝赛耳高斯模型，并且运用Collins积分公式，分析了这种新模型的空心光束的传输特性和聚焦特性。

The longitudinal component of electromagnetic wave propagating in fiber can be expressed by Based function or the modified Bessel function of second kind. Based on this principle, we put forward a simple method for generating a Bessel beam with glass capillary and focusing lens.

对光纤中传播的电磁场分析发现，其纵向分量可以用贝塞耳函数及第二类变态贝塞耳函数来描述，据此，提出一种利用玻璃毛细管和聚焦透镜实现贝塞尔光束的简易方法。

Afterwards, this article deals with the making and functions of heroic rhetorical fantasy based on some language materials; the absolute authority rhetorical fantasy created by recessive heroic discouse; the ideal model rhetorical fantasy created by dominant heroic discouse, possessing the functions of paradigm, instruction and dedication; the shaping allegory of rhetorical fantasy created by hero's absolutory discouse; the shaping allegory rhetorical fantasy created by future-hero's absolutory, possessing the functions of proving and punishing; the value identification rhetorical fantasy created by sub-hero's confiding discouse, possessing the functions of assisting, exposing evil and carrying forward good; the background metaphor rhetorical fantasy created by pan-hero's praising discouse, possessing the functions of receiving kindness and worship; the opposite symbolic rhetorical fantasy created anti-hero's foolish discouse.

接着，结合语料对"英雄"修辞幻象的生成与功能进行梳理：隐性英雄的语录式话语生成"绝对权威"的修辞幻象，并具有全面控制的功能；显性英雄的号召式话语生成"理想样板"的修辞幻象，并具有楷范功能、教谕功能和献身功能；准英雄的忏悔式话语生成"成长寓言"的修辞幻象，并具有迷误功能、证明功能和惩戒功能；亚英雄的倾诉式话语生成"价值认同"的修辞幻象，并具有协助功能、显恶功能和扬善功能；泛英雄的颂扬式话语生成"背景隐喻"的修辞幻象，并具有受恩功能和崇拜功能；反英雄的愚狂式话语生成"对立符码"的修辞幻象，并具有反衬功能。

For some special cases, the paper gives some important identical theorems, and then establishes a valuable relation between the uniformly almost periodic functions and the trigonometric polynomials.Secondly, on the basis of the identical theorem, the paper investigates the Fourier series of the uniformly B2 almost periodic functions, and further proves that the series is unique.Thirdly, the paper discusses the Parseval equation of the uniformly B2 almost periodic functions, which establishes the relation between these functions and the coefficients of their Fourier series; and next investigates an important approximation theorem-Riesc-Fischer theorem, about the uniformly B2 almost periodic functions and the trigonometric polynomials.

并给出了特殊情况下的几个重要的恒同定理，将一致概周期函数与有限三角多项式联系起来；第二，在恒同定理的基础上，给出了一致B~2概周期函数的Fourier级数，并且级数是唯一的；第三，讨论了一致B~2概周期函数的Parseval方程，建立了函数与其Fourier级数的系数之间的联系；接着给出了关于一致B~2概周期函数和三角多项式之间的一个重要近似定理—Riesc-Fischer定理。

Pradeep Indulkar, a senior official at the Maharashtra state Home Ministry say 101 human were killed and 287 injured.

马哈拉施特拉邦内政部高级官员Pradeep Indulkar称，有101人在冲突中丧生，287人受伤。

Mark Frei, a senior vice president of West, says 80% of West's homeagents have some college education, compared with 30% of those whowork in office-based call centers.

Frei说，该公司80%在家办公的人员都拥有本科学位，而在公司电话中心工作的人中只有30%拥有本科学位。