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The stretching and bending vibrational spectrum of a polyatomic molecule XH_3 is calculated in an algebraic model, where the coupling between stretches and bends is described by Fermi resonance terms.

利用代数模型计算多原分子的键振动和弯曲振动谱，键振动和弯曲振动之间的耦合用费米共振项描述，用局域产生算符构造代数哈密顿，计算表明与氨的实验数据有较好的一致

Within algebraic geometry is the description of geometric objects as solution sets of polynomial equations, combining the concepts of quantity and space, and also the study of topological groups , which combine structure and space.

在代数几何里，把几何对象描述成多项式方程的解集，结合数量和空间的概念；也研究拓扑群，结合了结构和空间。

The classical work usually assumes the setting of complex projective space in favor of its algebraic closedness; thus the classical results cannot be applied directly to the setting of real projective space assumed in most CAD/CAM applications.

古典的代数几何方法对QSIC的分类在复空间进行，由于复空间的代数封闭性，在复空间对QSIC的分类已有非常完善的结果，但其分类结果不能直接应用于实空间中的CAD／CAM问题中。

At first, the principle of algebraic quadratic congruence mapping is analysed, and then limitation of odd-even protection and shift computation are added to the mapping of interleaver.

首先分析算术二次同余映射的原理，然后在此基础上对交织器的映射关系加以保奇偶序限制和移位运算，从而得到两个改进型的算术映射交织算法。

Topics covered range from computational complexity, algebraic geometry, dynamics, through to number theory and quantum groups.

直达数论和量组，题目由于计算的复杂性，代数学的几何学，力学包括范围。

Especially, an explicit representation of quintic PB curves is established and the sufficient and necessary algebraic characterization of quintic PB curves is presented.

对于n次PB曲线，得到了以(2n-1)次有理曲线精确表示的等距线和多项式形式的弧长表达式。

From quintics on up, one requires more powerful methods if a general algebraic solution is sought, as explained under quintic equations.

因此找到一个通式解法或运算法则(就像二次方程那样，能解所有的一元二次方程)是很有用的。

By translating this real cubic system into a complex planar system, an applicable linear algebraic recursion formula of the equator and the first 6 quantities of the equator are given.

将这类实三次系统转化为复平面系统研究，给出了系统赤道环量的易于计算的线性代数递推公式。

The problem is reduced to a single unknown equation after algebraic elimination. The input-output equation, which is proved to be a 42th degree polynomial equation, is obtained.

首先根据不同的环路列出矢量方程，然后将方程转化成复数形式，经过代数消元后得到了输入输出方程。

The use of TDMA method in combination with relaxation method to solve the algebraic equations is discussed.

还讨论了应用TDMA法结合松弛法求解代数方程。

Chrysanthemum of 10 thousand birthday is lax to edaphic requirement, with the arenaceous qualitative loam with fecund, good drainage had better.

万寿菊对土壤要求不严，以肥沃。排水良好的砂质壤土为好。

He unstepped the mast and furled the sail and tied it.

他拔下桅杆，把帆卷起，系住。