加法

For lack of the conception of passage conditions, is confused with "addition theorem of probabilities".

由于没有引进"通道条件"，人们混淆了"概率的迭加假定"和"概率的加法定理"两个命题。

For this purpose, two expressions for the Graf′s addition theorem are deeply clarified and an auxiliary function method for mixed boundary-value problems is presented in the paper.

为此，文中深入阐明了Graf加法公式的两种表达形式并提出了处理混合边值问题的辅助函数法。

Utilizing wave function expansion method, all of the potential functions of scattered waves are transformed into one coordinate system with the aid of Graff's addition theorem.

使用波函数展开法，利用一组圆柱坐标系统和Graff加法转换定理，将散射波势函数的表达式变换到同一个坐标系。

The problem of the error of calculation formula calculating the variance of grouping data within distances in statistics was put forward,and the concrete forms of correcting formula were given by the theorem of addition and the variance of even distribution.

提出统计学中的组距分组资料方差和标准差计算公式误差问题，由方差的加法定理和均匀分布方差给出分组资料方差计算和标准差计算的修正公式具体形式，并就均匀分布数列和正态分布数列组内方差平均数进行了讨论

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。

In order to expand half space Green's functions with addition theorem, a high order approximation method is proposed for evaluation of reflection term of half-space Green's functions with far interactions.

采用高阶拟合方法将远区相互作用单元的半空间空域格林函数用级数表示，对高阶拟合项作加法定理展开，进而应用多层快速多极子算法。

Using the exterior expression for the Graf′s addition theorem, the closed form solution for scattering of plane SH waves by circular inclusion in half-space is given in the paper. The effect of the inclusion on the surface ground motion is ellustrated and the effect region of the scattering field from the inclusion is analyzed.

文中利用Graf加法公式的内域型表达给出了半空间内含圆形夹塞区出平面散射的封闭级数解答，讨论了夹塞区散射场对附近地表运动的作用，并特别分析了这一作用在地面上的影响范围。

Considering "addition theorem of probabilities", the above idea can be expressed as follows: Assum that a beam passes through a partition with two slit and arrives a screen. The probability of the event that an indivedual particle falls on somewhere of the screen under the condition that two slit open simultaneously, is equal to the sum of two probabilities of the same event under that two slit open in turn.

考虑到"概率的加法定理"，这种看法可表成："当一个拉子束通过一个带有两条缝的隔板到达一个屏上时，在两条缝同时打开的条件下单个粒子落在屏土某处的概率，等于在两条缝轮流打开的条件下该拉子落在该处的两个概率之和。"

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。

Basing on the Graf′s addition theorem, two expessions, interior and exterior expression, are deduced and the suitable problems for them are discussed. It has been found that the interior expression is the main point for sovling the scattering problem of circular inclusion in half-space. It also has been found that the exterior expression is the key for the scattering problem of circular arc canyon and circular arc alluvial valley, and is one of the main points for scattering problem of circular arc hill as well.

从Graf原有加法公式出发，本文给出了其内域型和外域型两种表达形式并讨论了这两种表达的适用范围，同时指出：内域型表达是求解半空间内含夹塞区出平面散射问题的要点，而外域型表达是解决任意圆弧型凹陷地形和任意圆弧型沉积盆地出平面散射问题中求解难点的关键，同时也是克服任意圆弧型凸起地形出平面散射问题求解困难的要点之一。

At the rear was an innovative combination transaxle with the gearbox, clutch, differential, and inboard-mounted drum brakes.

在后面是与变速箱，离合器，差的创新结合变速，和内侧安装鼓式制动器。

For more people can apprecaite and have the master work, there is reproduction painting appears in the market, the large various selection of paint,the high saturation of color plus the plentiful sfumato, to make the reproduction perfect copy and detail as original painting, so as to meet the requirment of amateurs who love art paintings,they do not need to pay high price to get classical paintings.

颜料色域广，色彩饱和度高，色彩层次丰富，图像色彩还原真实，能完美的复制原作，满足艺术爱好者欣赏，艺术爱好者们不用支付昂贵的价格就能拥有经典油画。