下界的

Using the equivalent condition under which the limit of a sequence of fuzzy numbers exists in the sense of level convergence, we analyze the structure of the level continuous fuzzy number valued function. On the basis of it, we prove the level continuous fuzzy number valued function on a closed interval exists supremum and infimum and give the precise representation.

利用模糊数序列水平收敛意义下极限存在的充要条件，在分析了水平连续函数结构特点的基础上，证明了闭区间上水平连续的模糊数值函数存在上、下确界，并给出了上、下确界的具体表达式。

For a given compound rule, if the upper bounds of both confidence and support minus their corresponding lower bounds are less than a given constant, the measurements of the rule are definite; if the the lower bounds of both confidence and support are greater than their corresponding thresholds, the existence of the rule is certain.

对于一个复合型分类关联规则，如果规则的支持度和置信度的下界都分别超过支持度阈值和置信度阈值，则称该规则的存在性是确定的；如果规则的支持度和置信度各自的上界与下界之差小于一个给定的常量，则认为规则的度量参数是确定的。

The representation of sequences is very helpful for the research of their linear complexity,so this paper we first research trace representation of periodic sequences,and the trace representation of a New Generalized Cyclotomic Sequence of order two of length pq is given,then for 2~mp~n period binary sequences,where p is an odd prime and 2 is a primitive root modulo p~2,we present a relation-ship between the linear complexity and the minimum value k for which the k-error linear complexity is strictly less than the linear complexity and have the upper bound and lower bound of the value k, finally we discuss the k-error linear complexity of legendre sequences,also have the upper bound and lower bound of the value k,and discusses the situation where the linear complexity drop again for some Legendre sequences.

序列的表达形式对于其线性复杂度的研究是十分有帮助的，本文我们首先研究的是周期序列的迹表示，给出了2阶pq长度的扩展分圆序列的迹表示，然后讨论了周期为2~mp~n(m≥2)序列的线性复杂度与使得线性复杂度变小的最小的k值的关系，给出了k值的上界和下界，这里p为奇素数，2是模p~2的本原根，并通过例子讨论了其线性复杂度的稳定性，最后对Legendre序列k-错线性复杂度进行了分析，也给出了k值的上界和下界，并对某些Legendre序列讨论了线性复杂度再次下降的情况。

Both the infimum Vm of the Volume Vof M and the necessary and sufficient conditions of "V=Vm" are obtained under 2 cases of minimal M and pseudoumbilical M.

研究了复射影空间CP4中共形平坦的正曲率全实子流形M，分别在M极小与M 伪脐2种情况下，得到M的体积V的下确界Vm和达到下确界的充要条件。

By extending the concepts of supremum and infimum in real space to the casein any finite-dimensional Euclidean space a weak supremum set and infimumset theory with respect to cones for the set in finite-dimensional Euclideanspace is developed,and several similar properties to the set in real space are ob-tained,with the concepts of this weak supremumset,w-D-conjugate maps and w-D-subdifferentials theory for the point-to-setmap are developed,and its several properties and its relationships with weakefficient solutions of the multiobjective programming are studied.

推广实空间中上、下确界的概念至任意有限维欧氏空间，建立了有限维欧氏空间中集合的锥弱上、下确界集理论，得到了与实空间中十分相似的性质。借助于这一理论，应用上、下确界的概念，给出了点集映象的w-D-共轭映象及w-D-次微分理论，并研究了它们的若干特性及其与弱有效解之间的关系，此外还讨论了弱鞍点问题。

We determine the bounds on the upperand lower orientable strong radius and strong diameter of graphs satisfyingthe Ore condition. Let G_1, G_2 be any connected graph, we present the exactvalue of srad(G_1×G_2), consider the relationship between sdiam(G_1×G_2) andr(G_1×G_2), d (G_1×G_2). Moreover, we determine the values of the lower orientablestrong diameters of some special graphs. Furthermore, we give the exact value ofSDIAM, a lower bound for SDIAM, an upper and lowerbound for SRAD and SRAD, respectively.

对满足Ore条件的图，给出了最小强半径、最大强半径的上、下界；对笛卡尔乘积图G_1×G_2，确定了G_1×G_2的最小强半径与G_1×G_2的半径以及G_1和G_2的最小强直径之间的关系，并进而确定了一些特殊笛卡尔乘积图的最小强直径的值，确定了SDIAM的值，SDIAM的下界，SRAD和SRAD相应的上、下界。

And the self-shrinking generator is a typical model of the clock-conctolled During the past ten years or more, some researches have been done on the period and linear complexity of the self-shrinking sequence obtained from an m-sequence which is generated by a primitive polynomial f over GF(2), degree=n , in the related academies.

近十余年，国际上已对由n级m-序列导出的自收缩序列的周期和线性复杂度做了研究，给出周期的上下界，其中所给的下界为2~([n/2])，由此也给出了线性复杂度的下界为2~([n/2]-1)+1。

First, for a given integer value of the objective function, the lower and upper bounds of the variables were determined by the optimum simplex tableau of the linear programming relaxation problem. Then the conditions on the bounds were added to the constraints as cuts to the associated objective function hyperplane. Finally, a branch procedure of the branch-and-bound algorithm was applied to finding a feasible solution on the objective function hyperplane.

对于给定的目标函数整数值，首先利用线性规划松弛问题的最优单纯形表确定变量的上、下界，然后将变量的上、下界条件加入约束条件中对相应的目标函数超平面进行切割，最后应用分支定界算法中的分支方法来搜寻目标函数超平面上的可行解。

In the study of the Lagrange stability of impact motion, we give some conditions of the bouncing solution of the asymptotically linear equation which is bounded or unbounded. Outside of a large disc, using the symplectic transformation of the Hamilton system to estimate the iteration of the successor map. Applying the Moser's small twist theorem, we get the invariant curves and then give the proof of the bouncing solutions which is bounded. We will estimate the successor map of the equation directly for proving the unboundedness of the bouncing solutions.

在碰撞运动的Lagrange稳定性的讨论中，给出了渐近线性方程碰撞解有界或无界的条件，在充分大的圆盘外，通过Hamilton系统的辛坐标变换的角度平均来估计后继映射的迭代，应用Moser小扭转定理得到不变曲线从而给出在一定条件下碰撞解有界的证明，碰撞解无界性的证明将采用直接估计后继映射的方法给出。

Results of inversion show that pre-Tertiary deposition in Dongying depression is controlled with westnorth structures. Archaean group is the crystal basement of Dongying depression, which is a north steep and south gentle rift subsidence basin striking from eastnorth to near westeast, and the deepest position is up to 12000 m at the area of Xianhe and Xinzhen. The configuration of Ordovician of lower Palaeozoic system highly inherits that of Archaean group and both have a strong consistency. The configuration of Mesozoic inherits that of lower Palaeozoic system as a whole, but filling and local reconstruction are distinct, and the scope of Dongying depression has obviously decreased.

结果表明，东营凹陷前古近系沉积主要受北西向构造的控制，太古界构成东营凹陷的结晶基底，是一个北东转近东西向的北陡南缓的断陷，最深处位于现河、辛镇一带，可达12000 m；下古生界奥陶系构造具有很强的继承性，其构造格局与太古界有很强的一致性；中生界宏观上继承了下古生界的构造形态，但填平补齐和局部改造比较明显，凹陷范围明显缩小。

Do you know, i need you to come back

你知道吗，我需要你回来

Yang yinshu、Wang xiangsheng、Li decang,The first discovery of haemaphysalis conicinna.

1〕 杨银书，王祥生，李德昌。安徽省首次发现嗜群血蜱。