查询词典 k

If a n-dimensional unoriented cobordism class α_n containing a representative that admits a (Z_2)~k-action with fixed point set of constant codimension r,we may say that α∈is an ideal of the unoricnted cobordism ring MO_*=.

若n维未定向协边类α_n的一个代表元M~n上有不动点集为常余维数r的(Z_2)~k光滑作用，则记α_n∈J_~r.J_~=∑_n≥r_J_(n，k~r是未定向上协边环MO_+=∑_(n≥0)MO_n的理想。

If for every k-list assignment L, there exists a linear edge L-coloring, then G is called linear k-list colorable.

图G的列表线性荫度是使得G是线性边k-列表可着色的最小正整数，记为lla。

The linear choosability numberΛ~l of a graph G is the minimum number k for which G is hnear vertex k-list colorable.

图G的线性点可选数是使得G是线性点k-列表可选的最小正整数，记为Λ~l。

If R satisfies =0 for any elements x ,y in R then ⑴when k =1, R is commutative;⑵when R has the unity, R is commutative;⑶when R has at least one right regular element and f 2 (t 1,t2) has no terms with degree1 such that Fn= F then R iscommutative when R has at least one right regular element. Here we would like to point out that the above results generalized the results of Fu changlin ,moreover generalized some results of other references . This results enriched the commutative conditions of any ring.

若任取R 中元x， y均有=0 那么⑴k =1时R 为交换环；⑵R 有单位元时R 为交换环；⑶f_2 (t_1，t_2)中t_2的次数不小于k -1且R 中至少有一个右正则元时R 为交换环。

One of Hutchinson's basic results is: If {S〓,…, S〓} is a family of contract operators on a complete metric space, then there is a unique nonempty compact set K, such that K=〓.

Hutchinson的一个基本结论是：对于完备距离空间上的任一族有限压缩映射{S〓，…，S〓}，存在唯一的不变非空的紧集合K，〓。

Moreover, the smallest degree sum on potentially K(p,1,1)-graphic sequences and k-cycle-graphic sequences are given respectively; bounds on m-restricted edge connectively and 3,4-restricted edge cut of graphs are also characterized respectively.

此外，还分别给出了蕴含k圈和（p，1，1）-部图可图序列度和的下界；分别给出连通图含m-限制边割的充分条件和必要条件及连通度的界。

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。

The invention is a rotary image-free 45-degree scan optical system, and it includes a 45-degree scanning mirror, double-reflecting optical converging primary system, K mirror rotary image eliminating system and after optical system, where the rotary axis of the 45-degree scanning mirror coincides with the optical axes of the other three systems, composing its optical axis.

一种无像旋的45°镜扫描光学系统，该系统包括45°扫描镜、双反射光学会聚主系统、K镜消像旋系统和后光学系统，45°扫描镜的旋转轴与双反射光学会聚主系统、K镜消像旋系统和后光学系统的光轴重合，构成本光学系统的光轴。

On this foundation, the followingfew problems are resolved. Firstly, we have a kinematic density formula for pairs of needles by using thekinematic density formula for pairs of oriented lines. The geometric probability thatthe random pairs of needles intersect at a point in convex body K is considered.

在此基础上，重点解决了以下几个问题：首先利用R~2上有向直线偶的运动不变密度公式，得到了针偶的运动不变密度公式，考虑了针偶与凸体K相交且针偶的交点属于K的这样一个几何概率问题。

Inthe paper, we study the relation of pairs of lines and pairs of needles, and two results ofintegral formulas are gained. Thus, the geometric probability problem is solved. Also.we give a solution to the problem: pick two points randomly in a convex body K anddraw two lines passing through two points.

文章考虑了线偶与针偶的依附关系，得到了两个积分公式的结果，从而解决了这一问题，并得到了随机地在凸体K内任取两点，通过这两点任意投掷两直线，两直线的交点落入凸体K内的概率及其它的一些结果和推论。

The concept of equivalent rotationally rigidity is offered and the formula of rotationally rigidity is obtained.

主要做了如下几个方面的工作：对伸臂位于顶部的单层框架—筒体模型进行分析，提出了等效转动约束的概念和转动约束刚度的表达式。

Male cats normally do not need aftercare with the exception of the night after the anesthetic.

男猫通常不需要善后除了晚上的麻醉。