区间图

Applying the De Caen"s inequality of sum of the squares of the degree and Cauchy"s inequality, we obtain a strict lower bound and a strict upper bound of the largest Laplace eigenvalues only in terms of vertex number of a unicycle graph. Applying the Laplace matrix theorem of trees, we obtain an upper bound of the second smallest Laplace eigenvalues of a unicycle. Extremal graph whose second smallest Laplace eigenvalues reach the obtained upper bound is determined. We also obtain an upper bound of the second largest Laplace eigenvalues in terms of vertex number of the largest connected branch of unicycle graph, and obtain a theoretical method to calculate the second largest Laplace eigenvalues of unicycle graph. We obtain an upper bound of any Laplace eigenvalues in terms of vertex number of a unicycle graph. We also obtain the distribution of Laplace eigenvalues in the inter [0,n] in terms of the matching number.

本文得到了以下几个方面的结果： 1、利用图度平方和的De Caen不等式和Cauchy不等式给出单圈图的最大Laplace特征值仅依赖于顶点数的严格的上下界；利用树的Laplace理论给出了单圈图次小Laplace特征值的一个上界，并刻画了达到该上界的极图；利用子图的连通分支的顶点个数给出了单圈图次大Laplace特征值的一个上界，并给出了单圈图次大Laplace特征值一个理论上的一个求法；利用单圈图的阶数给出了其一般Laplace特征值的一个上界；利用单圈图的匹配数给出其Laplace矩阵谱在区间[0，n]上的分布情况。

If the graph of the function is a consecutive curve at the interval ［ a , b ］ together with , the function has a zero point at the interval. That is, exists and it results in . Therefore, the x o is the root of the equation

结论〗：如果函数在区间［ a ， b ］的图象是连续不断的一条曲线，并且有，那么，函数在区间内有零点，即存在，使得，这个 x o 也就是方程的根。

In POT model, it used the technique of parameter estimator stability, making up for the limits of the currently popularly-used Mean Excess Function e, and the threshold quantitatively selected by Kurtosis Method has also been achieved, and solving the problem the illustration method couldn't be applied to.

特别是，在BMM模型中充分地考虑了子区间极值一般极限分布与极值序列极限分布之间的关系，测度了受子区间长度影响的极值VaR；在POT模型中运用参数估计量稳定性法弥补了目前普遍采用的样本平均超出量函数e法的不足，针对一些图解法无法适用的问题，实现了峰度法对阈值的定量选取，并对指数回归模型法、子样本自助法、序贯法等定量法进行了分析探讨。

This software carried out the calculation of the integral calculus of Bernhard Riema with draw the function sketch of the Bernhard Riema integral calculus function and together the function that two calculation and integral calculus zone diagrams of the heavy integral calculuses of a function draw.

本软件将实现黎曼积分的计算与绘制黎曼积分函数的函数图形、齐次函数的二重积分的计算与积分区间图的绘制的功能。

And we describe a MAXCL algorithm to find a trivial lower bound for the chromatic sum on an arbitrary interval graph.

并且在本文中我们描述了一种MAXCL算法，从而可以找到任意一个区间图的色和的一个平凡的下界。

As the general interval coloring problem is NP-complete, a property of the program, namely the containment of arrays\' live-ranges, is used to decrease the hardness of interval coloring and simplify it as an interval coloring problem for superperfect graph. Based on this, a judgment theorem for optimal interval coloring together with the implementation algorithm is proposed.

由于一般的区间着色问题是NP完全问题，我们利用程序所具有的一个性质，即数组生命周期的包含性来降低区间着色的难度，将一般的区间着色问题简化为超完美图的区间着色问题，并据此提出了实现最优区间着色的判定条件以及实现算法。

This paper proved that the MAXIS algorithm is a 2-approximation to the SC of proper interval graphs with Bounded Degree and α≤ω. where α is the maximum degree of vertices of graph, n is the number of vertices of graph.

本文证明了对一类特殊的真区间图Δ≤(4n~(1/4)且α≤ω，其中Δ是图G中点的最大次，n是图G的点数，α是G的最大独立点集所包含的点数，ω是G的最大团所包含的点数，MAXIS算法是解决其染色和问题的2-近似算法。

Combined with engineering practices, this article proposes that feeder section is regarded as graph, the nodes inside the section are treated as vertexes of graph, and the lines between nodes as arcs.

结合配电自动化的工程实际问题，提出将馈线区间作为一个图，并将区间内各节点作为图的顶点，节点间线段作为图的弧，以线路潮流的方向作为弧的方向，并由此建立了配电网馈线区间的数学模型。

Continuums These are visual representations of developmental stages of learning.

连续区间图记录这些都是学习发展阶段中的可视的呈现。

In this paper , the statistic significance and clinical application of forest plots in a meta-analysis have been fully discussed. If the horizontal line represents the 95% confidence interval of the indexes including odds ratio, relative risk, weighted mean difference, and standard mean difference crosses the vertical line, the effect of test group is not signficant with that of control group; if the horizontal line lies to the right of the vertical line, it indicates that the test group is significantly effctive. If the horizontal line lies to the left of the vertical line, it indicates that the control group is more effective.

对Meta-分析的森林图的统计学意义和临床应用做了较为详细的解释：当统计指标比值比、相对危险度、加权均数差和标准化均数差的95%可信区间横线与森林图的无效线(横坐标刻度为1或0)相交时，试验组的效应量等于对照组，试验因素无效；当其95%可信区间横线不与森林图的无效线相交且落在无效线右侧时，试验组的效应量大于对照组；当其95%可信区间横线不与森林图的无效线相交且落在无效线左侧时，试验组的效应量小于对照组。

As she looked at Warrington's manly face, and dark, melancholy eyes, she had settled in her mind that he must have been the victim of an unhappy attachment.

每逢看到沃林顿那刚毅的脸，那乌黑、忧郁的眼睛，她便会相信，他一定作过不幸的爱情的受害者。

Maybe they'll disappear into a pothole.

也许他们将在壶穴里消失