查询词典 Bessel function

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。

According to Bessel function and Fourier series theory, generation, magnitude and distribution of voltage harmonic generated by single-phase two-level SPWM inverter and three-phase SPWM inverter are analyzed and calculated particularity and concretely in allusion to inverter-motor system.

然后针对逆变器-电动机系统，利用贝塞尔函数和傅里叶级数理论，分别对单相二阶SPWM逆变器和三相SPWM逆变器的输出电压谐波的产生、大小和分布进行了细致而具体的分析和计算。

Hankel inversion is calculated by Gauss integration in integral region, which are plotted at the zero points of Bessel function.

Hankel逆变换依据Bessel函数零点划分积分段，采用高斯积分计算。

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 functional relationship between displacement and sound pressure was deduced by using variational principle and Bessel function. Then the analytic solution of the eardrum displacement was obtained, and moreover the ear ossicle displacement was obtained.

由变分原理及贝赛尔函数推导出人工鼓膜位移与声压的关系，得到鼓膜位移的解析解，并由此得到听骨位移。

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。

The problem of overflow during the computation of Green's function can be successfully solved by subtracting the exponential term from the modified Bessel functions.

采用将变型Bessel函数的指数项单独列出的方式有效地解决了Green函数计算中的上溢问题。

The problem of overflow during the computation of Green′s function has been successfully solved by subtracting the exponential term from the modified Bessel functions.

采用将变型Bessel函数的指数项单独列出的方式有效地解决了Green函数计算中的上溢问题。

For narrow-band signals, three uniform linear arrays, whose grating lobes are not overlapped by setting the angles between the arrays and the same pointing of main-lobes, are used and then multiplication of three patterns is operated to reduce the grating lobes of large-spaced array, which makes the array operate in broad band. For wideband or ultra-wideband signals, array pattern in the whole frequecy band is identical by designing the frequency-dependent weighting coefficients based on the Bessel function, and therefore grating lobes in high frequency parts are suppressed.

对于窄带接收信号，利用三个相交的大间距均匀线阵，通过设置它们之间的角度和主瓣指向相同使各自的栅瓣位置错开，然后把三个方向图相乘从而抑制大间距阵列栅瓣，因而适用于宽频带工作；对于宽带接收信号，利用Bessel函数设计与频率有关的加权系数，产生整个信号带宽内恒定的方向图，从而抑制了高频部分的栅瓣。

For the Riemann boundary value problems for the first order elliptic systems , we translates them to equivalent singular integral equations and proves the existence of the solution to the discussed problems under some assumptions by means of generalized analytic function theory , singular integral equation theory , contract principle or generaliezed contract principle ; For the Riemann-Hilbert boundary value problems for the first order elliptic systems , we proves the problems solvable under some assumptions by means of generalized analytic function theory , Cauchy integral formula , function theoretic approaches and fixed point theorem ; the boundary element method for the Riemann-Hilbert boundary value problems for the generalized analytic function , we obtains the boundary integral equations by means of the generalized Cauchy integral formula of the generalized analytic function , introducing Cauchy principal value integration , dispersing the boundary of the area , and we obtains the solution to the problems using the boundary conditions .

对于一阶椭圆型方程组的Riemann边值问题，是通过把它们转化为与原问题等价的奇异积分方程，利用广义解析函数理论、奇异积分方程理论、压缩原理或广义压缩原理，证明在某些假设条件下所讨论问题的解的存在性；对于一阶椭圆型方程组的Riemann-Hilbert边值问题，利用广义解析函数理论、Cauchy积分公式、函数论方法和不动点原理，证明在某些假设条件下所讨论问题的可解性；广义解析函数的Riemann-Hilbert边值问题的边界元方法是利用广义解析函数的广义Cauchy积分公式，引入Cauchy主值积分，通过对区域边界的离散化，得到边界积分方程，再利用边界条件得到问题的解。

The system can be widely used in belt weighing and batching process control,etc.

介绍了基于智能模糊控制的嵌入式配料系统的设计方法，对模糊PID控制过程和系统调零作了重点的讨论，同时给出了PID控制的程序流程图和系统定长调零子程序。

"I dunno," she answered,"but if you show me aroun', I'll recognize it from the lighthouse just outside the porthole."

"我不知道，"她回答说，"如果你能带我转转，我能认出来的，因为灯塔就在舷窗外。"