有理的

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。

We decompose curvature signal with wavelet at first and then use its low frequency coefficients as new smooth curvature signal, which is used to construct a G^2 continuous piecewise rational cubic Bezier curve with (Geometric Hermite Interpolation, GHI) GHI method subsequently.

针对在逆向工程的实践中常见的轮廓线的光顺问题，给出了一种先对曲率图进行小波分解，提取其低频部分作为新的曲率图，并利用几何Hermite插值方法，生成G^2连续的分段三次有理Bézier曲线，从而重建出光顺的产品轮廓曲线的新方法。

Hornbeam Tree -- of cool beauty, cares for its looks and condition, good taste, is not egoistic, makes life as comfortable as possible, leads a reasonable and disciplined life, looks for kindness and acknowledgment in an emotional partner, dreams of unusual lovers, is seldom happy with its feelings, mistrusts most people, is never sure of its decisions, very conscientious.

形象出色，有酷酷的外表，在意自己的外表和条件，品位出众，不自私自利，懂得为自己安排舒适的生活，有理有序，期待从感情丰富的伴侣那里得到关爱和认同，梦想得到不同寻常的情人，对情感很挑剔，对大多数人不信任，对自己的决定总是没有把握，但有责任心。

In the final chapter, we discuss interval polynomial approximation of rational surfaces. Firstly, we briefly state the interval-surface approximation based on the Taylor Expansion, and later, we give out a better interval-surface approximation based on the optimization method, which is also the main work of this paper.

第四章主要介绍了有理曲面的区间多项式的逼近，首先简单介绍了基于泰勒展开来做的区间曲面逼近，后面是本文的主要工作，我们基于优化方法得到了更好的区间曲面逼近，它也是本文的重要部分。

The stuff in between, including the internal Lemma, is there only to prove there exists an injective map from the group of rational points on an elliptic curve to the group of points over each finite field of prime order not dividing 2D where D is the discriminant.

证明中间的引理，主要是证明椭圆曲线上有限阶有理点到有限域上椭圆曲线的点之间的嵌入映射的存在性，其中点的阶不整除两倍的判别式2D。

By analyzing the cognitive motivation of prepositional spatial metaphor, we can safely conclude that prepositions have produced numerous different meanings and developed colorful metaphorical connotations, and the polysemantic network is thus formed.

空间隐喻是有理据的，而不是任意和约定俗成的，介词在其空间概念的基础上通过从具体到抽象的隐喻投射产生了大量不同的义项，发展了丰富多彩的隐喻含义，并最终形成了介词的多义性网络。

By analyzing the cognitive motivation of prepositional spatial metaphor, we can safely conclude that prepositions have produced numerous different meanings and developed colorful metaphorical connotations, and the polysemantic network is thus formed.

空间隐喻是有理据的，而不是任意和约定俗成的，介词在其空间概念的基础上通过从具体到抽象的隐喻投射产生了大量不同的义项，发展了丰富多彩的隐喻含义，并最终形成了介词的多义性网络。介词at-on-in构成了一个&点面体三位一体&的微观系统，它们 www。

In leading the people in struggle against the enemy, the Party must adopt the tactics of advancing step by step slowly and surely, keeping to the principle of waging struggles on just grounds, to our advantage, and with restraint, and making use of such open forms of activity as are permitted by law, decree and social custom; empty clamour and reckless action can never lead to success.

其领导人民对敌斗争的策略，必须是利用一切可以利用的公开合法的法律、命令和社会习惯所许可的范围，从有理、有利、有节的观点出发，一步一步地和稳扎稳打地去进行，决不是大唤大叫和横冲直撞的办法所能成功的。

Pay rightly should be part of that discussion: banks with risky pay structures need more capital than thriftier ones.

薪酬完全有理由是应该讨论的问题：具有风险的薪酬结构的银行比那些更节俭的银行需要更多资金。

As an application,generating quasi arc-length parameterization of PH curves is also discussed.

在CAGD中，曲线曲面一般用多项式或有理多项式表示，因此求解多项式函数的反函数是CAGD中的一个基本问题，它在曲线的准弧长参数化、曲线隐式化、曲线求交等问题中都有非常重要的作用[1-2]。

Since historical times,England ,where the early inhabitants were Celts, has been conquered three times .

从有历史以来，英国，在此地早期居住的是凯尔特人，已经被征服了三次。

Bluetooth OBEX File Transfer Enables the sending and receiving of files on your phone via Bluetooth.

蓝牙OBEX文件移动允许经过蓝牙传送和接受文件。。。。