查询词典 mapping theorem

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。

In the second part,we gave the theorem of inhomogeneous spectral inclusion regions of partitioned matrices,so some relevant researches have been improved in this field.

第二部分给出了分块矩阵的非齐次谱包含域定理。从而把有关矩阵非齐次谱包含域的研究工作做了一定改进。

The cheapest way to get one is to invoke the spectral theorem and to conclude that normal operators always have non-trivial invariant subspaces.

取得这样结果的最省力的尝试是引用光谱定理而得到正规算子恒有非平凡不变子空间的结论。

Then the propagation of an arbitrary nonideal optical beam is analyzed. In terms of the moment theorem, the performance of modes of BOR is analyzed from both points of view of geometry optics and diffractive optics. Comparing BOR with the resonators using plane mirror and spherical mirror or using plane mirror and aspherical mirror by finite element method, the design procedure for BOR is gave.

然后以衍射的角谱理论为基础，用矩量定理讨论了任意光束的传播规律，从几何光学和衍射光学的角度完整地分析了二元光学谐振腔的模式特征，用有限元方法数值对二元光学谐振腔、非球面腔和球面腔进行衍射分析，比较了三种腔型的差异，给出了二元光学谐振腔的设计方法。

Theorem 1: If a spherical triangle spherical triangle to the other extreme triangle , the other spherical triangle ...

定理1：如果一球面三角形为另一球面三角形的极三角形，则另一球面三角。。。

Based on them, we calculated precisely some enegy levels of P-wave and D-wave of a helium atom, presented and proved the general interdimensional degeneracies for a quantum N-body system, derived the general spherical spinor functions and the exact solution to the Dirac equation for the hydrogen atom, and proved uniformly the Levinson theorem for the Dirac equation in D-dimensions.

在此基础上，我们精确计算了氦原子P波和D波若干较低能级，建立和证明了量子N体系统不同维数状态间最普遍的简并，推导出任意 D 维空间广义球旋函数和Dirac方程氢原子的精确解，统一地提出和证明了任意 D维空间Dirac方程Levinson定理的一般形式。

According to the central limit theorem,the writer analyses the using case of air splicer,and clarifies the using distribution of air splicer,obtains the statistic on air consumption of air splicer.

运用中心极限定理对空气捻接器的使用情况进行分析，明确了空气捻接器的使用分布情况，得出了空气捻接器耗气量的统计数据。

First we have the following theorem: Let be a square matrix.

很好， 有竞争才能驱使自己努力向上。

The motion stability practical criterion of arch structure is brought forward on the base of Lyapunov theorem of motion stability.

在对Lyapunov运动稳定理论研究的基础上，提出了拱结构的运动稳定性实用判别准则。

Dynamical property of the system model with two populations is studied based on Lyapunov stability theorem and Routh-Hurwitz criterion.

运用Routh-Hurwitz判据研究了两种群系统模型的动力学性质。

He paid $5,000 for this cupcake.

他我这个纸杯蛋糕花了5000美元。

I mean, if you want to, that is

我的意思是，如果你们想吃的话。