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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 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。

Fortunately, there are techniques that make Padmasana much safer to learn. Even if you don;t teach full Lotus, you can use the same techniques to protect students in related postures, such as Ardha Baddha Padmottanasana (Half-Bound Half-Lotus Forward Bend), Baddha Konasana, and Janu Sirsasana (Head-to-Knee Pose).

可喜地是，现在有许多技巧可以让学习双盘变得更安全，即使你不教双盘，你也可以让学生在做相关的体位法，使用相同的技巧保护学生，例如： Ardha Baddha Padmottanasana(Half-Bound Half-Lotus Forward Bend直立单盘前弯式) Baddha Konasana坐式曲膝双脚脚掌相对，或是Janu Sirsasana (Head-to-Knee Pose)坐式单脚伸直另一脚单盘脚掌抵在另一腿之内侧。

The paper proposes two new dimension reduction algorithms: The First is On the Expected Distortion Bound of Direct Random Projection. The second is Anchor points based Isometric Embedding under least square error criterion. On the Expected Distortion Bound of Direct Random Projection has a time complexity of O.

本文分别提出了两种新的维数约减算法：(1)基于期望扰动的直接随机映像算法On the Expected Distortion Bound of Direct Random Projection，简称DRP(2基于锚点集的最小平方误差等距嵌入算法(Anchor points based Isometric Embedding under least square error criterion，简称AIE)。

Phylogenetic analysis was accomplished using Parsimony and Bootstrap methods with Branch-and-Bound search of PAUP*.

系统发育分析采用PAUP*软件的Parsimony和Bootstrap两种方式的Branch-and-Bound算法。

On a ZORBAX Stable Bound (2.150 mm, 1.8 m), the rutin、quercitrin、quercitrin-3-O-giucoside and quercitrin-3-O-galactose could be separated completely with 0.05 mol/L potassium dihydrogen phosphate and methanol as mobile phase (40:60,V/V) at a flow rate of 0.3 ml/min and detected with a photodiode array detector .

在色谱柱为ZORBAX Stable Bound (2.150 mm， 1.8 m)，流动相为0.05 mol/L的磷酸二氢钾缓冲溶液-甲醇(40：60，V/V)，流速为0.3 ml/min，在检测波长为360 nm的色谱条件下，芦丁、槲皮素、槲皮素-3-O-葡萄糖苷和槲皮素-3-O-半乳糖苷分离效果好，方法灵敏度高，重现性好，用于测定雪莲果叶中的上述几种黄酮芦丁型黄酮，效果满意。

Next, after analyzing the nets′relationship in three layer channel routing, setting up the objective function toward channel area minimization, we propose some new terms, for example, the withstand bound columns, valid complete cover net sets, TRACK valid routing, etc.. The conceptions and natures of static bound of nets, dynamic bound of unrouted net set and the lower bound value of the horizontal tracks are discussed; and the methods of calculating static bound, dynamic bound and lower bound are put forward.

文章接着分析了线网在三层通道区布线中的相互关系，为了以完成布线所需通道区面积最小化为目标解决三层通道区布线问题，提出了柱界列、完全有效覆盖线网集、TRACK有效布线等一些新的概念，讨论了三层通道区布线问题中线网定界、未布线网集动界和水平通道数Lower-Bound等概念和它们的性质，给出了定界、动界、Lower-Bound值的计算方法。

The results show that 42.86% topsoil samples are polluted by Cadmium, soil synthesis pollution index is moderate, Cadmium pollution degree of topsoil correlate with the environment of sampling sites. The results also show that exchangeable Cd, carbonate-bound Cd, organic-bound Cd and residual Cd are found in all soil samples except for Fe-Mn oxide-bound Cd. Furthermore, the concentration of exchangeable Cd and carbonate-bound Cd, both which have high biological validity, is high. Humus has a certain correlation with exchangeable Cd, organic-bound Cd and residual Cd, and has no obvious correlation with other chemical speciations. Any chemical speciation of Cd has no obvious correlation with pH and total Fe of soil samples. Cadmium in topsoil can be eluviated by acid solution, the quantity of Cadmium eluviated by redistilled water is little. With the rise of pH of eluviating solution, eluviated Cadmium quantity decrease. For the same soil sample, the lower pH value of eluviating solution is, the more fast the Cadmium is eluviated, and the more thequantity of Cadmium is eluviated.

研究结果表明：成都市表生土壤样中有42.86%受镉污染，镉综合污染水平达中度污染，成都市表生土壤镉污染程度与采样点周围环境表现出一定的相关性；除铁锰氧化物结合态镉在部分土壤样中未检出外，所有土壤样均含有可交换态镉、碳酸盐结合态镉、有机结合态镉、残留态镉，且生物有效性较高的可交换态镉和碳酸盐结合态镉占总镉量比例较高；成都市表生土壤中的腐殖质与可交换态镉、有机结合态镉、残留态镉有一定相关性，与碳酸盐结合态镉、铁锰氧化物结合态镉相关性不显著；各形态镉与土壤pH值和全铁的相关性均不显著；土壤中的镉可被酸溶液淋出，重蒸馏水淋出镉量十分微小；随着淋滤液pH值的升高，土壤样的镉淋出量下降，且0～5小时时段的镉淋出量占镉总淋出量比例下降，5～30小时时段的镉淋出量占镉总淋出量的比例上升，对同一土壤样而言，酸度大的淋滤液比酸度小的淋滤液淋出镉速度更快，淋出镉量更大。

There are bound to be a few of even the most discerning social networkers falling into the trap.

Be bound to 一定要，一定有；即使是很谨慎，也会有一些人上当。

Time-bound: Give yourself a clearly defined end date to achieve your goals by.

u Time-bound―有期限的：给自己定下一个达成目标的截止日期。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。