维数

The factors that affect the acid resistance and color difference of the capsuled ultramarine pigment are discussed. By means of treating the pictures of SEM of pigment particles with a computer, a new method of evaluating fractal dime...

通过对群青粒子扫描电镜图象进行计算机处理，建立了一种新的表面分形维数的求取方法，并用分形维数表征群青颜料粒子的表面形貌及其耐酸性

Some properties of local rings with weak global dimension one are discussed and a class of rings are shown to be such local rings.

讨论了具有弱总体维数为1的局部环的一些性质，并证明了一类环是弱总体维数为1的局部环。

The global dimension of a connected graded algebra equals to the global dimension of it viewed as a DG algebra with zero differential.

任意一个连通分次代数，如果将它视为微分为0的连通DG代数，其左整体维数与其作为连通分次代数的整体维数是一致的。

Finally,we prove that the left global dimension of a DG algebra A is larger than or equal to the dimension of the triangulated categories Dand D~c.

最后我们证明DG代数A的整体维数是三角范畴D以及D~c的维数的一个上界。

The partial least-squares regression model is built up to forecast crop leaf water potential of estival maize.Thirdly, atmosphere aspect, the low water age has been forecasting by R/S method of fractal theory in Si Chuan middle region. The chaotic behavior of agriculture meteorologic factors (average temperature, max temperature, min temperature, temperature of the earths surface, evaporators, precipitation, relative humidity, sunlight time) time series is investigated using the phase-space reconstruction technique, and the delay time and relation dimension and min embedding dimension and Lyapunov exponent and Kolmogrov entropy is calculated. The atmosphere water potential is calculated by surveyed data, and the day change law of atmosphere water potential and the relation between it and sun radiation has been discussed.

第三，关于大气方面，利用分形理论中R/S分析法对川中丘陵区的枯水年进行了预测；利用混沌理论的重构相空间技术，确定了农业气象因子(旬平均气温、最高气温、最低气温、地表温度、蒸发量、降水量、相对湿度、日照时数)的延时、关联维数、最小嵌入维数、Lyapunov指数、Kolmogrov熵，从而证明了以上各农业气象因子的时间序列具有混沌特性，为利用混沌理论预测各气象因子提供了科学依据；利用田间自动气象站的数据计算了大气水势并探讨了大气水势的日变化规律以及大气水势与太阳辐射的关系。

Using the quaternion expansion of the shifting number ,we determined the fractal structure of intersection of sierpinski footcloth with their translates, and set up the fundamental properties of Box dimensions of those intersection sets.

研究Sierpinski地毯平移交集的计盒维数，发现它与平移长度有关，利用移位t的四进展开式，给出一递归集，得到Sierpinski地毯平移交集的分形结构，并建立这些交集计盒维数的基本性质。

Through setting up several grey models GM(1,1) with different dimensions and some metabolism models which can make good use of new information and be improved on the forenamed model,this article compares these models with one another and then decides the best one,with which the GDP of Anhui would firstly achieve 2 trillion yuan in 2015 can be forecasted.

建立了不同维数的灰色GM(1，1)模型和充分利用新信息的灰色模型的改进版——新陈代谢模型，比较了它们的优劣，确定了最优维数预测模型。应用该模型预测出2015年安徽省GDP首次达到2万亿元

The fractal dimension of the different geotectonic elements was calculated and the relation between the fractal distribution and the damage evolvement was given in this paper.

计算了不同大地构造单元的断裂构造的分形维数，给出了其分形维数与损伤演化的关系。

The algorithm proposed by author converts complicated computation of color image into the computation of homochromy image. It combines image's texture feature with color, and uses multiple homogeneity criterions in the process of region growing.

该算法将复杂的彩色图像分形维数计算转化为单色图像分形维数的计算，将纹理特征和颜色信息相结合，并且在区域生长过程中采用了多尺度区域生长准则。

This paper generalizes the conclusion of Perfect nonlinear S-boxes by Nyberg(1991), and introduces the conception of inverse regular generalized vector Bent function. It shows that for inverse regular generalized vector Bent function f with even variables, m is no more than half of?. It also shows that when the input dimension n is odd, the regular generalized vector Bent function and the inverse regular generalized vector Bent function do not exist. This may prevent the cryptology designer from seeking the inexistent function.

摘要该文完善并拓展了Nyberg(1991)的关于广义向量Bent函数性质的结论，相应于Nyberg给出的正则广义向量Bent函数，提出了&负则的广义向量Bent函数&的概念：得到有偶数个输入的负则的广义向量Bent函数输出维数也不大于输入维数的一半；证明了奇数个输入的正则和负则的广义向量Bent函数都不存在，这些结果的给出，可使密码设计者避免一味去寻找某类不存在的函数。

What are your goals and strategies for growth?

你的成长目标和策略是什么？

And unto the angel of the church in Sardis write; These things saith he that hath the seven irits of God, and the seven star I know thy works, that thou hast a name that thou livest, and art dead.

3：1 你要写信给撒狄教会的使者，说，那有神的七灵和七星的，说，我知道你的行为，按名你是活的，其实是死的。