数区间

The consistency problem of the interval judgment matrix is studied.

研究区间数判断矩阵的一致性问题。

For an uncertain system described by convex combination of interval polynomials, its Hurwitz-stability can be guaranteed by certain subset composed of vertices and edges.

对于由区间多项式的凸组合描述的不确定系统，它的Hurwitz稳定性可由某个仅由顶点和棱边构成的子集来保证，且此集合的大小与系统的维数无

Which is called the arc differential of the curve.

设函数在区间内具有连续导数，且曲线上点的弧长为，则弧长的微分是。

The boundary value problem for first-order differential equations with a parameter refers to the finite solution condition of equation which includes unknown quantity and its first-order derivative that not only relies on interval value but also relies on the parameter of the equation,which is always settled by fixed point theory or successive approximation method.

含一个参数的一阶微分方程边值问题是指：含有未知量及它的一阶导数的方程的定解条件不仅依赖于在区间端点的取值，而且依赖于方程中的参数。通常它用不动点定理或逐步逼近法来解决。

But for the middle and large scale problems, the computation cost by symbolic differentiation is very expensive. When the direction derivative is evaluated, the computation cost by divided difference can be reduced, but it is only one kind of approximate computation.

对于大中规模问题来说，使用符号微分，成本昂贵，有时甚至不可行，在计算导数的方向梯度时，利用差分法虽然可以降低计算成本，但得到的是近似值，而且确定恰当的差分区间也很困难。

These issues are mostly difficult to solve according to the general study of mathematical models, but the Monte-carlo method is very convenient for calculating Multiple Integral of low dimension in regular domain of integration or complex range or even non-connected region.

这类问题绝大多数按数学的研究处理模式出发，都是难以解决的，而蒙特卡罗方法对计算高维空间中维数不很高且积分区域是规则的积分、以及复杂区间甚至不连通的区域上的积分都却是很方便的。

First, define the local consistency and the local satisfactory consistency based on the idea of weight feasible region.

基于权重可行域定义了区间数判断矩阵局部一致性和局部满意一致性，并建立了判别其是否具有局部满意一致性的数学模型。

Live-range splitting can be used to make the graph satisfy the optimal interval coloring condition.

当不满足最优区间着色的条件时，可以通过分割数组的生命周期来使之得到满足。

We generalize the concepts of two kinds of discrete distance of interval-valued fuzzy sets based on Hausdorff metric, and introduce a new distance of discrete interval-valued fuzzy sets based on Hausdorff metric and study some properties.

同时我们分别举例说明全空间IF~*(R，d~*和IF~*(R，d_p~*不是完备的，IF~*(R，d~*和IF~*(R，d_∞~*不是可分的。我们还对区间值模糊数序列在这三种距离意义下的收敛性之间的关系进行了讨论，得到一些结果。

The highest speed between hurdles of Liu Xiang surpass the average speed of the other 8 top 110m hurdlers' technique in world track and field championship in Paris France 2003 . The number of the clearance of hurdles in a high speed is as many as others.

刘翔的最高栏间速度超过了2003年法国巴黎世界田径锦标赛前8名的运动员平均最高分栏速度，保持高速度过栏的区间数也同其他优秀运动员相当，具备了战胜世界顶尖高手的实力。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。