查询词典 Bessel functions

The paper simply introduced the basic principle of surface nuclear magnetic resonance and computed the numerical integral of nuclear magnetic resonance kernel function which contained double Bessel functions using the method of Gauss quadrature and continued fraction expansion, and then discussed influence of conductivity to nuclear magnetic resonance′s signal.

简要介绍了地面核磁共振找水的正演理论方法，采用高斯求积并结合连分式展开的方法对核磁共振核函数中包含双重贝塞尔函数的积分核进行了数值积分，进而计算出精度较高的核函数值，在此基础之上，讨论了导电性对地面核磁共振信号的影响。

In this thesis, the research on"the Nodal Green's Function Method For Cylindrical Geometry on Neumann Boundary Condition Based on Bessel Functions" is a pioneer work.

以上工作的完成，使该程序系统成为清华大学核研院堆芯物理设计和燃料管理的核心程序。

Based on wave function expansion method, the potential functions of scattered waves are expanded into Fourier-Bessel series; and a set of cylindrical coordinate systems is utilized in such a way that it allows to solve the problem of multiple scattering; the solution is determined by imposing continuity and equilibrium conditions at the soil-pile interfaces.

采用波函数展开法，将散射波的势函数展开成Fourier-Bessel级数的形式，利用一组可以求解多散射问题的圆柱坐标系统和桩土界面处位移连续的条件，以及刚性桩的动力平衡条件，得到问题的理论解。

First, the physical models associated with dislocations and cracks are respectively converted to mixed boundary value problems in mathematics. Secondly, by using the Fourier transform, a dual integral equation for a crack and an algebraic equation for a dislocation can be derived from the boundary conditions relating with a crack and a dislocation, respectively. Solving these equations, exact analytical solutions can be obtained in terms of Bessel functions in close-form.

先把位错和裂纹的物理模型写成与它们相关的边值问题，然后，利用Fourier变换将这些边值问题化成一个对偶积分方程(对位错而言，得到一个代数方程)，求解此对偶积分方程，可以获得以Bessel函数给出的封闭形式的分析解。

In order to study the propagation of partially coherent modified Bessel-Gaussian beams passing through a paraxial ABCD optical system with hard-edge aperture,the approximate analytical propagation equation was derived with the hard-edged aperture function expanded into a finite sum of complex Gaussian functions.

为了对部分相干修正贝塞尔－高斯光束通过有硬边光阑近轴4BCD光学系统的传输进行研究，采用将硬边光阑窗口函数展开为有限个复高斯函数之和的方法，得到了近似的解析传输公式。

The analytical expression of a kind of integral including the product of the sums of two Bessel functions is given for the power calculation.

六、根据研究工作数值计算的需要，给出了一类包含有两个贝塞尔函数的和的积的积分公式。

According to the theory of elasticity, the displacement and stress solutions of the model is expressed in the form of the sum of two infinite series of Fourier and Fourier-Bessel functions.

通过弹性理论分析，将其位移和应力表达成富氏级数和富氏—贝塞尔级数两个无穷级数之和的形式，从而求得了对应这个模型的纤维与基体之间更为精确的理论分析解。

Also,the feasibility of demodulating frequency of low-frequency liquid surface wave from the spectrum was evaluated with Bessel functions.

结果表明，能够实时准确探测10Hz～40Hz的液体表面波参量，该方法为低频液体表面波的探测提供了新思路。

Making convenience of computation, the calculation method of the spherical Bessel functions for complex arguments is presented.

为便于计算，给出了复宗量的球贝塞尔函数的计算方法。

It is convenient because Bessel functions in the formula are common special function.

而且公式中的贝塞耳函数为常用特殊函数，计算起来很方便。

Summary In copyright infringement cases,if the alleged infringer uses or even plagiarizes the copyrighted works or parts thereof,which causes no substantially adverse effect on the normal exploitation of the work,nor does it inflict any substantial damages to the right owner,the de minis doctrine should be applied to exempt the liabilities of the defendant and seek the balance of interests between the right owner and the general public embodied by the copyright law.

在侵犯著作权案件中，如果被控侵权行为人虽未经著作权人的同意，使用甚至抄袭了受著作权保护的作品或作品的片段，但若情节轻微，未对该作品的正常使用产生任何实质不利的影响，亦未对权利人的权利造成实质性的损害，则应适用&不计琐细原则&，免除行为人的责任，以寻求在权利人利益与著作权法所体现的社会公共利益之间的平衡。

This new product will become our best seller.

这个新产品会成为我们最畅销的产品。