查询词典 rational map

Integers, rational numBers, and ir rational numBers are all real.

整数、有理数和无理数都是实数。

In this thesis, by employing generating function technique, some new combinatorial identities have been established. Furthermore, the integral values of some kinds of series involving generalized Fibonacci and Lucas numbers at rational numbers are given and the values of some polynomials at rational points have been studied as well.

本文利用发生函数理论建立了一系列新的组合恒等式，并且利用发生函数方法讨论了一些级数的取整值问题以及某些多项式在有理点的取值问题。

In general, scaling factor can be either rational or irrational numbers. We named the operation on both rational and irrational factors, i.e. real factors, the generalized scaling.

一直以来，大家对於处理有理数的比例缩放参数较有共识，相反的，对於无理数则是各持己见，没有定论。

First, the scattering parameters of PT are transformed in to Y-parameters and equivalent "p" circuit model could be established. Second, vector fitting method is used to approximate admittances of equivalent "p" circuit model by rational functions. At last, a circuit synthesis method for rational functions is applied to build circuit model.

该方法首先将测量得到的互感器的散射参数转化为导纳参数并构建互感器的p形等值电路；然后，应用矢量匹配法对p形等值电路的导纳参数进行有理函数逼近获得它们部分分式和形式的频域表达式；最后采用电路综合方法构建出导纳元件的等值电路。

Traditionally ellipsoids and hyperboloids are modeled as implicit surfaces or through the use of rational surface schemes. The existing methods for generating spheres or quadrics have shortcoming such as the rational parameterizations for these surfaces are non-uniform, the resulting scheme cannot represent these surfaces in their natural acr-length parameterization and the implementation of the scheme is complex.

长久以来，Subdivision方法对一些看似简单却又在计算机图形学中有着重要作用的曲线曲面的造型非常困难，即使是对简单的圆和球的生成也很困难，已有的一些生成球或二次曲面的Subdivision方法一般都有太复杂、不能自然弧长参数化或者计算量太大等缺点。

But the goal remains the same: to combine emotional and rational, not only pointed out that the rational统摄emotion, and in turn, is also admit a rational foundation of emotion (no matter what, this is reflected Eisenstein beyond its place of time).

但是目标仍然是一致的：将情感与理智结合起来，不仅指出理性统摄情感，而且反过来也承认理智也是具有情感基础的（无论怎样，这是体现爱森斯坦超越其时代的地方）。

Using 135 MW unit installation project as an example, this paper suggests that rational resources and resource conflict management directly affect the success of the project and gives resource chain map of the project.

以135MW机组安装项目为例分析，提出了资源的合理配置和资源冲突管理直接影响项目的成败这一观点，并给出了安装工程资源链图。

Suppose C is a Graph with k loops andf: G 梸- G is a continuous map with at least a peri- odic point. We prove the following three conditions are equivalent:(1) f is equicontinuous;(2) One of the following End + 2k + 1 conditions holds: in FJm.~0(E~+2L!= flJ1,m = l,2,挃,End J=1 + 2k; 1 0 = flf is a ioop on Gandf I~:0?- 0 is conjugate j=1 to a rational rotation;(3) One of the following End + 2k + 1 conditions holds: k m Lfl.m/~oE~(G+2i!~ is uniformly convergent, m = 1,2,,End+2k; n There is a poistive integer number n,~~~ is uniformly convergent.

假设G是含有k个圈的图，f是G到自身上的连续映射，并且至少有一个周期点，我们证明了下列三条陈述是等价的：（1）f是等度连续的；（2）下列End+2k+1个条件之一成立： m）F l）O=是G的一个圈，且fl_o：O→O共轭于一个有理旋转；（3）下列End+2k+1个条件之一成立： m）是一致收敛的，m=1，2，…，End+2k； l）存在某个正整数n，是一致收敛的。

For a monotone twist map the well-known Birkhoff fixed point theoremsays that the circles with rational rotation number will break up whence a finitenumber of pairs of periodic points arise,half of which are elliptic and the othershyperbolic.Moreover,around each elliptic periodic point a few of new invariantcurves will appear and make a picture of phase space with a self-similar structure.Again one may ask is there a similar picture for higher dimensional Hamiltoniansystems?

对于单调扭转映射，著名的Birkhoff不动点定理指出，在通有情况下旋转数为有理数的不变曲线一般会破裂，在原来的不变曲线附近会产生有限多对周期点，其中一半是双曲的，一半是椭圆的，而在椭圆型周期点的周围又会产生一圈圈的不变曲线，使得椭圆周期点附近的动力学行为和整个相空间的动力学行为十分相象，换句话说，整个相空间具有无限嵌套的自相似结构，自然又产生了一个问题：对于自由度数目大于2的高维哈密顿系统，其相空间是否有类似的图象？

Such objectives go as follows: In 2012, the industrial structure in the Delta region will be further optimized, with the service industry accounting for a remarkably larger share; innovation capacity will be markedly improved and technology advancement makes greater contribution to the economy; regional division of labor and industrial map out become more rational and the quality and level of opening-up have been distinctly lifted; the energy consumption of per capita regional production should be lowered than the national average and the ecological degeneration trend be checked in key areas; the social security system covers both the urban and rural regions with increased ability to provide public service, and the goal of building a well-off society in an all-round way should be achieved in substance.

指导意见》分阶段提出了长江三角洲地区未来发展的主要目标，具体是：到2012年，长江三角洲地区产业结构进一步优化，服务业比重明显提高；创新能力显著增强，科技进步对经济增长的贡献率大幅提升；区域分工和产业布局趋于合理，对外开放的质量和水平明显提升；单位地区生产总值能耗低于全国平均水平，重点地区生态环境恶化的趋势得到遏制；社会保障体系覆盖城乡，公共服务能力进一步增强，基本实现全面建设小康社会的目标。

I had a lovely dog named PiPi, he was one of my best friends.

我曾经有过一只小狗，它的名字叫皮皮，它很善良，它是我最忠实的朋友。

Newly ovulated mouse oocytes were cultured in the CZB medium supplemented with different concentrations of pyruvate before treated for activation or assayed for MPF activity.

我们猜测卵母细胞在不含丙酮酸的条件下老化的更快，并且卵丘细胞可能通过消耗不含葡萄糖的CZB中的丙酮酸从而促进卵母细胞老化。