展开系数
- 与 展开系数 相关的网络例句 [注:此内容来源于网络,仅供参考]
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The potential functions of incident and scattered waves were expanded into Fourier-Bessel series, and the coefficients of scattering waves field were determined by imposing continuity conditions of stress and displacement at the soil-pile interfaces with the help of a set of cylindrical coordinate systems and in accordance with the Graff's addition theorem.
将倾斜入射波和散射坡的势函数展开成Fourier-Bessel函数的无穷级数的形式,利用一组圆柱坐标系统和Graff加法转换定理,通过施加桩土界面处的应力和位移连续的边界条件,求解出散射波势函数的待定系数,进而得到饱和土体中任意点的位移和应力。
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The scattering coefficients of a single charged sphere are deduced. And with spherical vector wave functions and addition theorem, the scattering coefficients of multiple charged and uncharged spheres are derived. The sampling method of simulating a Gaussian beam in use of MC is provided.
详细推导了单个带电球粒子的散射系数;并采用矢量波函数展开方法结合矢量波函数的加法定理导出了高斯波束入射多个带电/不带电球粒子的散射系数;提出了用MC模拟高斯波束的抽样方法。
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The approximate formula of the damper deployment time was deduced by time correction factors.
用时间修正系数的概念推导了阻力器展开时刻的近似计算公式。
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By utilizing the auxiliary ordinary differential equation and its solutions, the first kind and second kind of KdV equation with variable coefficients were investigated by means of the extended tanh-function method, and abundant new exact solitary wave solutions were obtained under certain conditions.
利用该方程及其解,采用改进的tanh函数展开法研究了第1类和第2类变系数KdV方程,获得了在一定条件下的若干新精确孤波解。
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Meanwhile, it could be seen that there does not exist a confidence interval with width less than 0.5 because of the property of Poisson distribution. Based on these conditions, the author mainly carried out research into two aspects of this problem as follows. Firstly, by numerical and theoretical analysis, the author compares some existent confidence intervals, for example,"exact" confidence interval, Wald confidence interval and Bayesian confidence interval, and finds some deficiencies points of the confidence intervals, whose modification version has been proposed .Also, several better confidence intervals such asare also presented .Secondly, for given confidence coefficient and interval width, the author constructs a class of asymptotical two-stage interval estimate procedures. At the same time, under varies restriction of confidence coefflcientent interval width, the optional sample size of the first stage has been computed by numerical computation. The numerical computation shows that the method considered in this dissertation have good properties and applied value.
同时,由于Poisson分布的特性,我们知道不存在其参数区间长度小于0.5的置信区间,基于这些情况,我们主要展开了以下两个方面的研究:一是利用数值计算分析与理论分析的方法对现有的若干置信区间如"精确"置信区间,Wald置信区间,Bayes置信区间等进行分析比较,发现了一些缺陷,针对这些缺陷,我们进行适当的修正,并得到几种性质较好的置信区间如:修正大样本区间Jeffreys原则下置信区间二是针对已给定的置信系数与区间长度,我们提出了一种渐近的两阶段区间估计程序,并利用数值计算的方法,在各种置信系数与区间长度限定下,算出了最优的第一阶段观测次数,大量数据表明,本文考虑的方法性态良好,具有应用价值。
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The time-domain response of the induced currents on a scattering object irradiated by a plane wave with a Gaussian pulse in time is expanded as an associate Hermite series in this paper. Using the isomorphism of the associate Hermite function and its Fourier transform, the frequency-domain information can be obtained similarly to the time-domain expansion. According to the corresponding relation between time-domain analysis and frequency-domain analysis, and using the early-time response and the low-frequency information of the induced currents, the non-known coefficients in the expansion series can be decided. The entire responses of the induced currents on the scattering object in both time and frequency domains can be obtained at one time by simultaneous extrapolation computation using both the early-time response and the low-frequency information of the induced currents.
摘要首先根据散射体在高斯脉冲平面波激励下感应电流的能量几乎全部集中在时间轴和频率轴上的有限范围内,该文将时域响应展开为系数待定的连带Hermite级数的叠加,并根据连带Hermite函数的傅里叶变换的自反性,得到与时域响应形式类似的频域响应;然后利用时域方法和频域方法分别计算散射体上感应电流的早时响应和低频信息;最后经过时域和频域联合外推计算,由早时响应和低频信息确定时域和频域响应的待定系数,从而获得了整个时域和频域的完全响应。
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In Chapter 7, we prove the resolvent operator of compound KDV equation is computable via the operator method, contraction mapping principle and TTE theory.
第五章应用Backlund变换得到了变系数组合KdV-Burgers方程的N-类孤子解;第六章应用F展开法及其扩展形式得到了变系数组合KdV方程和(n+1)维Sine-Gordon方程的孤立波解;第七章运用算子方法、压缩映象原理和TTE理论,证明了组合KdV方程的解算子是可计算的;最后对全文进行了总结,并对未来的研究方向作了展望。
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Firstly, the digital watermarking was transformed randomly, and then encrypted by chaos. The encrypted watermarking was transformed to one-dimensional row vector, and the pixel value was sorted. The coefficient of primitive image of stationary wavelet transformation was expanded to one-dimensional row vector, too, and then the sorted watermarking was embedded to the sorted low frequency and turned to two dimensions.
本算法先将数字水印图像进行置乱变换,然后将置乱后的水印图像进行混沌加密,将加密后的水印按行展开成一维行向量,并将像素值从大到小排序,将原始图像平稳小波分解得到的低频系数也按行展开成一维行向量,并按从大到小排序。
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So, in this paper, a circular cavity witha large radius is used to replace the straight boundary of thehalf space, then the half space problem can be changed tothe scattering problem of two circular cavities to the steadyincident P-wave . Having the aid of the mature cylinderfunction theory, the general solutions of the wave functionscan be given, and an infinite linear algebraic equations ofthe unknown coefficients in the wave functions can be gottenwith the boundary conditions and the Fourier complex seriesexpansion technology, the infinite linear algebraic equationscan be approximately solved by the finite trunction withsatisfying some definite precision, at the basis of thissolution of the equation, the variations and the lay-outs ofthe DSCF at the circular cavity boundary vs. the differentincident angles, the different embedded depths of thecircular cavity as well as the different dimensionless wavenumber of the incident P-wave.
为此,本文采用一个半径很大的圆孔来代替半空间的直边界,将该半空间问题转化为一无限大空间中两个圆孔对稳态P波的共同散射问题,借助于成熟的柱函数理论,通过写出问题波函数的一般形式解,利用问题的边界条件,并采用复数傅立叶级数展开技术将其化为一个仅包含问题波函数中未知系数的一无穷线性代数方程组,在满足一定计算精度的前提下,通过有限项截断进行近似求解,进而讨论了圆孔边界处的动应力集中系数随不同入射角、不同的圆孔掩埋深度、入射波的不同无量纲波数以及介质的泊松比变化和分布情况。
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As same as the above-mentioned reason, because theconditions at the inside straight boundary of the binarycomposite material can not be easily satisfied, here, anelastic circular inclusion with large radius is used to replacethe upper half space of the binary composite material, so the〓mary binary composite mater ial problem can be changed〓the scattering problem of a circular elastic inclusion andto the scattering problem of a circular eastic inclusion and〓circular cavity in an infinite space to the steady incident〓wave.
与前面两个问题的理由一样,同样,由于问题中双质复合材料的内部直边界上的边界条件不易解析满足,为此,本文采用了一个半径很大的弹性实夹杂来代替问题中双质复合材料的上半空间部分,而将原来的双质复合材料问题转化成了无限大空间中一圆形弹性夹杂和一圆孔对稳态P波的共同散射问题,根据该问题的特点写出了弹性夹杂内外波场中波函数的一般形式解,利用该问题中夹杂和圆孔处的位移和应力的连续条件,并采用复数傅立叶级数展开技术将其化为一个仅包含问题波函数中未知系数的无穷线性代数方程组,在满足一定计算精度的前提下,通过有限项截断进行近似求解,进而讨论了双质复合材料中圆孔边界处的动应力集中系数随不同入射角、圆孔的不同位置、以及入射波的不同无量纲波数的变化和分布情况。
- 推荐网络例句
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The split between the two groups can hardly be papered over.
这两个团体间的分歧难以掩饰。
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This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.
这种做法不仅鼓励了更多的反应,而且减少跟风的可能性。
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The new PS20 solar power tower collected sunlight through mirrors known as "heliostats" to produce steam that is converted into electricity by a turbine in Sanlucar la Mayor, Spain, Wednesday.
聚光:照片上是建在西班牙桑路卡拉马尤城的一座新型PS20塔式太阳能电站。被称为&日光反射装置&的镜子将太阳光反射到主塔,然后用聚集的热量产生蒸汽进而通过涡轮机转化为电力