查询词典 sum theorem

By using the group-chain, the wavefunctions of the 4f〓 configuration for RE ions are also expressed as linear combinations of group-chain basis functions in Butler's irreducible representation notation. The matrix elements of the CF Hamiltonian then are calculated by means of the Wigner-Eckart theorem and factorization lemma of the jm factors. Before the CF level fitting, a point-charge calculation of the conventional CF parameters B〓 has been performed by means of the lattice-sum technique from the known crystal structure data. The corresponding parameters in the group-chain are calculated by the conversion relationship between two schemes that proved identical in essence, which are usually used as initial values in the fit to the experimental levels. The ratios of the same k-value CF parameters are suggested as the constraint conditions in the fit, in order to utilize fully the symmetry distortion degree of the studied system.

利用群链理论，属稀土离子4f〓组态的波函数表示为以不可约表示标记的群链基波函数的线性组合；借助Wigner-Eckart定理和2jm和3jm因子的分解定律计算了晶场哈密顿的矩阵元；根据点电荷模型和已知晶体结构数据，利用点阵求和技术计算得到传统晶场参数B〓初值，相应的非传统形式的群链参数初值则由两种方案下的转换关系求得；这些初值通常作为非线性拟合晶场能级计算的初值，系统的对称性畸变信息则反映在以同阶晶场参数的比值作为能级拟合的约束条件。

Let 〓, then:(1)〓, i∈G (2)〓,〓, i∈G The economic meaning of the theorem is that the change of the supply is reverse with the change of the price, the changing rate of the i-th price equals the inverse number of the changing rate of k〓, and the sum of the effect of P〓 to k〓 and the effect of P〓 to c〓 which is weighted by P〓 is 0, i∈G.

定理2.8：(1)〓，i∈G (2)〓，i∈G 此定理的经济含义是任一种产品供给量的变动与该种产品价格的变动呈反向关系；第i种产品价格的变动率等于k〓变动率的相反数，P〓对k〓变化的效应与P〓对c〓变化的效应以P〓加权后的和为0，i∈G。

Stationary NA sequences; empirical measure; large deviations principle; linear processes; functional law of the iterated logarithm; strong approximations; LPQD sequences; m-dependent random element; precise asymptotics; the central limit theorem for the sum of random number

基础科学，数学，概率论、数理统计平稳NA序列；经验测度；大偏差原理；线性过程；泛函型重对数律；强逼近； LPQD序列； m-相依随机元；精确渐近性；随机指标中心极限定理

With the help of Newton formula and Vieta theorem, iterative method was used to solve problems of power sum.

借助牛顿公式和韦达定理，采用迭代的方法求解类似于自然数等幂和的问题。

Fourier's theorem : any periodic function can be expressed as a sum of sinusoids of appropriate amplitudes and frequencies.

付氏理论：任何周期函数均可以表示为一组正弦函数的和，正弦函数具有合适的大小和频率

Expanding a monochromatic electromagnetic beam into the sum over a seriesof plane waves using the spectral representation technique derives the generalforms of the scattering formulae of a monochromatic electromagnetic beamincident on wire grids. The general forms of the scattering power formulae of amonochromatic electromagnetic beam by wire grids are presented by usingPoynting theorem.

应用平面波谱技术将单色电磁波展开成连续平面波序列，由平面波入射金属栅网的散射公式推导了单色电磁波通过金属栅网的散射场一般公式，并应用坡印亭定理推导其散射功率的一般表达形式。

By regarding the forest-sum growth-cutting rate as the control variable and judging its optimality by "norm minimum", we have given a existence theorem of the optimal control for the area distributing systems of forest trees by utilizing space L2(0,T)'s reflexivity, smoothness and strict convexity.

本文将林木总和长消率作为控制变量，以"范数最小"来衡量其最优性，利用空间L2（0，T），T＞0的自反、光滑和严格凸性，给出了森林面积分布系统最优控制的一个存在性定理。

A strong ilmit theorem for the weighted sum of discrete random sequences is gotten by the method of net differentiability.

文摘：利用网微分法，给出了离散型随机变量序列加权和的一个极限定理。

This theorem states that the sum of the symmetric logic variables constitutes a level-0 kernel of the symmetric logic function.

该定理表明，对称逻辑函数的对称逻辑变量之和恰好构成了该逻辑函数的一个零级核。

Theorem 1 If the general term of the series is continuous on .and is unanimous convergent with the sum function on .

定理 1 如果级数的各项在区间上连续，且在区间上一致收敛于，则在上也连续。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

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。