differential topology 中文意思是什麼

differential topology 解釋
微分幾何學
  • differential : adj 1 差別的,區別的;特定的。2 【數學】微分的。3 【物、機】差動的,差速的,差示的。n 1 (鐵路不...
  • topology : n. 地學志;【數學】拓撲學;拓撲(結構);【解剖學】局部解剖學。adj. -ical
  1. Professor chern was awarded the shaw prize in mathematical sciences 2004 for his initiation of the field of global differential geometry and his continued leadership of the field, resulting in beautiful developments that are at the centre of contemporary mathematics, with deep connections to topology, algebra and analysis, in short, to all major branches of mathematics of the last sixty years

    二零零四年邵逸夫數學科學獎授予陳省身教授,以表彰他開辟整體微分幾何學的成就。整體微分幾何學的精妙發展占著當代數學的核心,與拓樸學、代數學和分析學,簡而言之,與過去六十年數學的所有主要范疇都有密切關連。
  2. Based on the analysis of topology structure of parallel mechanisms and using differential topology and differential manifolds as mathematical tools, we propose a new classification method. this method classifies singularities of parallel mechanisms into two basic types, i. e. topology singularity and parameterization singularity. this kind of classification has clear physical and mathematical meaning and fully reveals the characteristic of configuration space of parallel mechanisms

    採用微分拓撲和微分流形等現代數學工具,在對並聯機構位形空間的拓撲結構進行分析的基礎上,提出了一種新的奇異位形的分類方法,即把奇異位形分為拓撲奇異位形、參數化奇異位形兩種類型,這種分類方法充分體現了並聯機構位形空間的特點,具有十分明確的物理和數學意義。
  3. In the area of pure mathematics, topics include number theory, abstract algebra, real and complex analysis, functional analysis, differential geometry, topology, and differential equations

    在純數學的范疇,可供選讀的科目包括數論、抽象代數、實和復分析、泛函分析、微分幾何、拓撲學及微分方程理論等。
  4. According to the analysis of the whole communication system, we verified the feasibility of the design goal put forward previously and used a topology of cascode with source degeneration to design a differential lna

    通過對衛星通信系統的鏈路分析,根據實際系統需要,確定了低噪放模塊的設計指標。採用常用的共源共柵拓撲結構,設計了一個差分結構的lna 。
  5. The basic idea to construct grpcs is to establish object topology first, then use geometry to change the shape of differential manifold. in chapter 2, we discuss the theoretical framework of grpcs that includes some relative idea about differential manifold. firstly, the definition of potential function on manifold is given

    本文首先討論了廣義有理參數曲線曲面的理論基礎,依次闡述了黎曼幾何中關于流形、函數和映射的基本概念,並在此基礎上提出了微分流形上勢函數的定義。
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