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characteristic class

  • 特征类:在数学中,特征类是将X的每个主丛与X的上同调类相关联的一种方式。上同调类衡量了丛的“扭曲”程度以及是否具有截面。特征类是全局不变量,衡量了局部乘积结构与全局乘积结构之间的偏差。它们是代数拓扑学、微分几何学和代数几何学中统一的几何概念之一。

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  [数] 示性类

事实上陈省身教授在Euler示性数以及更广义的所谓示性类(characteristic class)方面的工作即现在所谓的陈类(Chern class)的光辉成就,在这时已经逐渐孕育和形成了。

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短语

arithmetic characteristic class 算术的特性类

characteristic class of a manifold 流形的示性类

secondary characteristic class 二阶示性类

characteristic class of manifold [数] 流形的示性类

Chern characteristic class 陈示性类

theory of characteristic class 示性类理论

symplectic pontryagin characteristic class 辛Pontryagin示性类

class characteristic 一般特征

characteristic cohomology class 余同调特征类

 更多收起网络短语
  • 示性类 - 引用次数:9

    参考来源 - 乘积空间上向量丛的示性类与带群作用流形的协边分类
    特征曲线类型
  • 特征集合 - 引用次数:6

    参考来源 - CO

·2,447,543篇论文数据,部分数据来源于NoteExpress

Characteristic class

  • abstract: In mathematics, a characteristic class is a way of associating to each principal bundle on a topological space X a cohomology class of X. The cohomology class measures the extent to which the bundle is "twisted" — particularly, whether it possesses sections or not.

以上来源于: WordNet

双语例句权威例句

  • Usually, an income of that size requires regular, formal employment, with a salary and some benefits, that is, a steady job-another key middle-class characteristic.

    通常,那种水平的收入需要一个固定正式的职业,有工资和保险,即一份稳定的工作——这是中产阶级的另一个关键特点。

    youdao

  • According to the characteristic of current information technology class, this paper analyzes several attributes of game CAI, generalizes its main characteristic and describes them in detail.

    本文根据当前信息技术课堂的特点,分析了游戏式CAI所应具有的属性,归纳其主要特征并对其进行了详细描述。

    youdao

  • An extracting rules algorithm based on class feature matrix is presented, which has made use of the characteristic of discernibility matrix.

    充分考虑了可辨识矩阵的特性,提出一种基于类别特征矩阵的决策规则提取算法。

    youdao

更多双语例句
  • The revolt of this class, he thinks, could be the defining characteristic of the election, counting more even than the rise of the (also mostly white, but mostly more affluent) tea-party movement.

    ECONOMIST: Lexington

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