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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。

The lofty tower of its City Hall overlooked the whole panorama of the streets and avenues, which cut each other at right angles, and in the midst of which appeared pleasant, verdant squares, while beyond appeared the Chinese quarter, seemingly imported from the celestial Empire in a toy-box.

这些街道都象刀切似的整整齐齐，直角转弯。马路中间点缀着满眼翠绿的街心公园。再往前去就是华人区，它真象是装在玩具盒里运来的一块中华帝国的土地。

Using partial least squares in conjunction with the chebyshev polynomial representation, the expression for the simplifying model is built, and is provided to determine the optimal MR damper marker.

采用偏最小二乘法误差估计、Chebyshev多项式拟合建立了MR阻尼器简化模型的参数化表达式，为合理选择MR阻尼器提供了便捷的可靠的手段。

The two colors of the checkerboard squares.

棋盘矩形的两种颜色。

That can move any number of unoccupied squares in a direction parallel to the sides of the chessboard.

能在与棋盘平行的方向的空位上移动任何步数的棋子。

A pattern of small squares, as on a chessboard.

如国际象棋中的一小格

The chessman that can move any number of unoccupied squares in a direction parallel to the sides of the chessboard.

能在与棋盘平行的方向的空位上移动任何步数的棋子。

A chessman in the shape of a horse's head; can move two squares horizontally and one vertically.

马头形的国际象棋棋子；能水平走两个方格垂直走一个方格。

In the centre of both New York and Washington there are very large Christmas trees in the main squares.

在该中心的两个新的纽约和华盛顿，有非常大的圣诞树，在主要的广场。

But circulation, roads and squares will increase from 18% to 25%.

但是， 流通，道路和广场将从18%增加到25%。

Objective:To explore the feasibility of laparoscopy in diagnosing and treating of abdominal diseases.

目的：探讨腹腔镜用以诊断腹部外科疾病及选择治疗方案的可行性。

The lifetime of nylon 1010 and nylon 1010/POSS composites decreased with increasing temperature.

热重-红外联用分析表明尼龙1010在氮气气氛下的降解产物主要为小分子的低聚物，POSS并不改变尼龙1010降解产物的组成。