riemannian geometry

基本解釋

• 黎曼幾何；橢圓幾何

英漢例句

雙語例句

• Positive curvature has been a frequent subject in Riemannian geometry.
  曲率是黎曼幾何中的熱門研究課題。
• In this papaer, a note about the proof of the Chain rule in the book 《An Introduction to Differentiable Manifolds and Riemannian Geometry》 is offered.
  給出了《微分流形與黎曼幾何引論》一書中關於鏈法則証明的一個注記。
• He introduced an entirely new idea which cut the Gordian knot that had held up the Ricci-flow approach – -bearing on the central question of "collapsing" in Riemannian geometry.
  他引進了一個完全嶄新的觀點支撐起了瑞奇流方法——其與黎曼幾何中”塌陷“的中心問題有著密切的聯(lián)系。這使得解決整個問題變得如同快刀斬亂麻一樣簡單。

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詞組短語

短語

• Riemannian n geometry 黎曼幾何
• Riemannian differential geometry 黎曼幾何
• complete Riemannian geometry 完備黎曼幾何
• Pseudo -Riemannian Geometry 偽黎曼幾何
• Variational problems in Riemannian geometry 黎曼幾何的變分問題氣泡

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英英字典

柯林斯英英字典

• a branch of non-Euclidean geometry in which a line may have many parallels through a given point. It has a model on the surface of a sphere, with lines represented by great circles (Also called elliptic geometry)

• riemannian geometry劍橋字典
• riemannian geometry柯林斯字典

專業(yè)釋義

計算機科學技術

• 黎曼幾何

  In a word, robot kinematics, robot dynamics and robot trajectory planning are studied respectively by differential geometry, Riemannian geometry and Lie groups and Lie algebras. Some problems about robot manipulability are solved effectively.
  縂之,本文採用了微分流形、黎曼幾何、李群李代數(shù)等幾何方法同機器人的運動學、動力學、最優(yōu)軌跡槼劃等方麪相互融郃,比較有傚地解決了機器人操作性能的一些相關問題,竝對機器人操作性能的研究産生了一定的推動作用。

  數(shù)學

• 黎曼幾何學