查询词典 injective dimension

Finally, it shows that R is von Neumann regular ring if and only if every right .R-module is right pm-injective if and only if every right principal right ideal of R is right pm-injective if and only if every essential right ideal of R is right pm-injective. Furthermore, some good properties are obtained.

最后，得到R是von Neumann正则环当且仅当每个右R-模是右pm-内射当且仅当R的每个主右理想是右pm-内射当且仅当R的每个本质右理想是右pm-内射，以及其他诸多好的性质。

Through calculating the generalized dimension by covering the signal with n-dimension boxes, three dimension feature vectors including the box dimension, the information dimension and the correlation dimension are got.

首先利用覆盖法求取广义维数得到该语音信号的三维特征向量，包括容量维数、信息维数、关联维数；然后计算信号的维数特征距离；最后根据特征距离对语音信号类别进行决策分类。

The results show that the radiative properties of randomly distributed soot aggregates for a given fractal dimension are complex functions of the monomer diameters, the number of monomers in the aggregates,and the refractive index; For a small value of the monomer diameters, the absorption cross section of soot aggregates tends to be relatively constant when the fractal dimension is small but increases rapidly when the fractal dimension exceeds two. However, a monotonical reduction in light absorption with the increase of the fractal dimension is observed for soot aggregates with sufficiently large monomer diameters, number of monomers,and refractive index. The scattering cross section , extinction cross section and single-scattering albedo increase monotonically with the increase of the fractal dimension. Overall, the results for soot aggregates differ profoundly from those calculated for the equivalent spherical particles, and the discrepancies between them will change small with the increase of the fractal dimension.

研究表明，在给定分形维数的情况下，烟尘団簇粒子的辐射特性取决于原始微粒粒径、数量及复折射率；原始微粒较小的団簇粒子，当分形维数较小时，吸收截面变化不明显，但当分形维数大于二时，吸收截面骤然增大，然而，对于具有比较大的原始微粒粒径、数量及复折射率的烟尘団簇粒子，吸收截面随着分形维数的增大而单调递减；随着分形维数的增大，団簇粒子的散射截面、消光截面及单次散射反照率均单调递增；从整体上来讲，団簇粒子的辐射特性与等效球形粒子的辐射特性存在着比较大的差别，并且这种差别随着分形维数的增大而减小。

So in chapter 2, we use P-flat and P-injective modules to characterize some important rings, like SF-rings, Von Neumann regular rings and Coherent rings, etc. In chapter 3, we introduce the homological dimension of P-flat and P-injective modules.

众所周知，正是由于研究各类模以及它们的同调维数，人们才能对环得到更深层次的性质的描述，所以在第二章中，我们就利用了P-平坦模与P-内射模来刻划几种重要的环，如SF环、Von Neumann正则环、凝聚环等。

By discussing the position hypothesis of fractional-dimension derivative about general function and the formula form the hypothesis of fractional-dimension derivative about power function, the concrete equation formulas of fractional-dimension derivative, differential and integral are described distinctly further, and the difference between the fractional-dimension derivative and the fractional-order derivative are given too. Subsequently, the concrete forms of measure calculation equations of self-similar fractal obtaining by based on the definition of form in fractional-dimension calculus about general fractal measure are discussed again, and the differences with Hausdorff measure method or the covering method at present are given. By applying the measure calculation equations, the measure of self-similar fractals which include middle-third Cantor set, Koch curve, Sierpinski gasket and orthogonal cross star are calculated and analyzed.

通过讨论一般函数的分维导数的位置假设及幂函数的分维导数的形式假设，进一步明晰了幂函数的分维导数、分维微分及分维积分的具体方程形式，给出分维导数与分数阶导数的区别，随后讨论了基于一般分形测度的分维微积分形式定义导出的自相似分形的测度计算方程具体形式，给出了其与目前 Hausdorff 测度方法的区别，并对包括三分 Cantor 集合、 Koch 曲线、 Sierpinski 垫片及正交十字星形等自相似分形在内的测度进行了计算分析。

The three dimension reticular cell counting method is adopted to calculate the fractal dimension characterizing skew degree of gray level surface. With the two-dimension reticular cell counting method, the fractal dimension characterizing wrinkle shadow block distribution is obtained. By means of distribution function, the fractal dimension for the size distribution of wrinkle shadow block can be achieved.

提出以尺度变化的立体网格计算灰度曲面的分维数，表示灰度曲面的起伏程度；以尺度变化的平面网格计算织物折皱阴影块分布的分维数，表示阴影块的离散程度；以当量直径为尺度，计算分布函数的分维数，表示织物折皱阴影块尺寸的分布。

By multiple statistic method the report finically decides the competence items, which are factor analyzed into 66 items, 12 factors and further combined into 5 dimensions. Knowledge and skill dimension includes knowledge structure, education concept and psychology tutoring skill; ability dimension includes common ability and special ability; self-concept dimension includes self-situate , self-efficacy and self-supervise; personality dimension includes character and emotion; motivation dimension includes extrinsic motivation and internal motivation. It proved that the questionnaire has good internal consistency reliability, and also has good internal validity and structural validity. It could be offer an effective tool to survey the psychology tutoring competence of university counselor. In the second research, using The Questionnaire for psychology tutoring competence actuality of university counselor to investigated 40 counselors and more than 300 college students from 6 college of Wu Han. It validated three hypotheses, the results show: There existed significant difference in university counselor within the variable of college, major, whether do not have assessed remarkable counselor ,how many years to be a university counselor and whether do not ever joined some training of psychology tutoring, but no significant difference within the variable of sex, age and degree.

研究二运用《高校辅导员心理辅导胜任力现状调查》和《高校辅导员心理辅导胜任力现状调查》对武汉6所高校的40名辅导员和300多名大学生实施调查，以辅导员的性别、年龄、学校、学历、专业，以及担任辅导员的年限、是否参加相关心理辅导的培训和是否获得过优秀辅导员称号为分组变量，讨论不同组别的辅导员各项胜任力水平的差异，验证了三个假设，结果表明：(1)学校：不同高校的辅导员心理辅导胜任力水平存在显著的差异，其中教育观念、外在动机和内在动机等方面差异非常显著；(2)专业：整体上，不同专业的辅导员心理辅导胜任力水平不存在显著的差异，但在教育观念、心理辅导技巧、外在动机和内在动机等因子上存在显著差异；(3)工作年限：整体上不存在显著的工作年限差异，但在心理辅导技巧、特殊能力、自我效能感和情感等因子上存在显著差异；(4)是否参加心理辅导培训：参加过培训的辅导员的胜任力水平整体上高于未参加过培训的辅导员，但并不显著，只在知识结构和心理辅导技巧上差异显著；(5)是否获得过优秀辅导员称号：总体上不存在显著的差异，但获得过优秀称号的辅导员胜任力水平在一般能力和性格两个因子上明显比较高；(6)辅导员的心理辅导胜任力水平与其性别、年龄、学历三个变量上各因子的显著性程度都未达到。05，属于不显著的水平。

The ann-injective rings start at the angle of annihilator,at the same time,the CT-injective rings start at the angle of cycle tortionless modules.

在第三章，我们引入了CT -内射维数的概念，从维数的角度来更进一步地认识CT -内射。

Moreover, we define weak principally quasi-injective modules and study Jacobson radical of endomorphism ring of weak principally quasi-injective modules.

另外我们还在主拟内射R-模的基础上定义了弱主拟内射R-模，利用零化子对弱主拟内射模上自同态环的Jacobson根的性质进行了讨论。

A ring R is called right co-semihereditary if every finitely cogenerated factor module of a finitely cogenerated injective right R-module is injective.

如果有限余生成内射右R-模的有限余生成商模是内射的，则R称为右余半遗传的。

It was just a normal day of school

那只是上学的普通一天

Which is a very good reference in this issue.

这是一个在这个问题上很好的参考。