定理

In addition,a theorem for the convergence of detection of target contrail by this algorithm is given and proved so as to afford a solid guarantee for practical applications of the algorithm proposed in this paper.

文中给出并证明应用本算法能以概率1检测到运动点目标的收敛性定理。

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。

This paper utilizes FFT after undersampling to analyze the relationship between the estimation of sinusoidal parameters and corresponding actual values on the basis of bandpass sampling theorem. In addition, the errors of parameter estimation using phase difference are deduced strictly.

摘要该文从带通采样定理出发，分析了欠采样后利用FFT估得的正弦信号参数与真实值之间的关系，并对欠采样下基于相位差分法的参数估计的误差进行了严格的推导。

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。

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。

In addition, Koopmans' Theorem makes the assumption that upon the addition or subtraction of a single electron to or from the system, the Fock operators for all of the remaining electrons will not change at all.

Koopmans定理还假定如果体系增加或者减少一个电子，其余电子的Fock算子不发生变化。

In additive prime number theory,a classical result of Hua states that,every suffi-ciently large odd number N can be represented as 〓,where 〓 is aninteger and 〓 are primes,which can be regarded as an extension of Goldbach-Vinogradov Theorem.

堆垒素数论中一个经典的结果是华罗庚教授证明的：任一个充分大的奇数N都可以表为N=〓+〓+〓，其中λ是一正整数，p1，p2，p3是素数，这一结果可以看作著名的Goldbach-Vinogradov定理的推广。

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。