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The relationship of fresh, dry biomass and their diameter of fruits took on power or exponential allometry, and linear isogony, which were significant and very significant in east, south, west and north in two sites.

樱草蔷薇果实生物量中，果实鲜、干重和其果球径两个数量性状之间或呈异速或同速生长，其相关性均达到了极显著水平，总体上均呈直线或幂函数的规律变化。

Power-law model can be used to describe the quantitative relation of between dynamic and angular velocity.

并且也能用幂律模型描述动态粘度与动态角频率的量化关系。

Chapter one and chapter two use normal form of idempotent matrices and antisymmetric matrices over finite fields to construct cartesian authentication codes respectively.

第一章、第二章分别利用幂等矩阵及反对称矩阵的标准型构造了卡氏认证码。

The concept of the weighted logarithmic power mean is introduced; its relation with two-parameter mean is given; the inequality for weighted logarithmic power mean is derived; the magnitude relation among upper bounds of geometric mean and arithmetic mean of geometrically convex functions are made certain.

建立了几何凸函数的对称拟算术平均不等式，对文献[1]提出的不等式进行了推广统一；引进加权对数幂平均的概念，建立起其与双参数平均之间的关系，得到加权对数平均不等式，从而确定了几何凸函数的几何平均、算术平均的上界的大小关系；最后，提出了几何凸函数的对称拟算术平均不等式的推广问题。

This essay deduces the power sum formula of an arbitrary arithmetic progression step by step on the basis of Euler-Maclaurin formula,and then achieres the compute formula of natural number power sum -∑ni=1i m.

前n个自然数的方幂和，∑ni=1im是一个古老的难题。

An asymptotic expansion of the errors with O(h3) is shown. Therefore , by using extrapolation we can improve the accuracy order of approximations.

该方法的优点在于奇点处权函数的选择，并且证明了误差有h3幂渐进展式，从而可以利用外推达到加速收敛的目的，更好地提高了计算精度。

According to the power model of atomic clock, a new model of atomic clock noize of time-frequency domain and it's algorithm is presented preliminary.

本文借鉴原子钟噪声的幂率谱模型，初步提出一种时-频域原子钟的噪声模型及相应的计算方法。

Dade made enormous researches on Coleman automorphism of a finite group and obtained a lot of initial results,especially proved that Coleman outer automorphism group is nilpotent.

E.C.Dade通过对有限群的Coleman自同构的大量研究得到了一系列开创性的结果，最重要的是证明了Coleman外自同构群是幂零群。

On the basis of that, a finite group G satisfying |Aut: Paut|=1, p or pq is successfully classified, where p, q are distinct primes, Aut is the automorphism group of G and Paut is the power automorphism group of G.

然后在此基础上综合运用多方面的知识，进一步给出了满足条件|Aut∶Paut|=1，p或pq的有限群的完全分类，其中Aut是群G的自同构群，Paut是G的幂自同构群，p，q仍是不同的素数。

In Chapter 5, we classify several classes of finite groups whose power automorphism groups are of large order.

第五章则以群作用为工具，克服了p-群分类的困难，给出了几类具有较大阶的幂自同构群的有限群的分类。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。