differential geometry

微分几何

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A mathematical discipline that uses the techniques of differential calculus and integral calculus to study problems in geometry.

一个使用微积分技术来研究几何问题的数学学科。

例句 (10)

differential geometry = 微分几何 (一个使用微积分技术来研究几何问题的数学学科。)

  • I’m taking an advanced course in differential geometry this semester.这个学期我在上高级的微分几何课程。
  • Einstein’s general relativity is formulated using tools from differential geometry.爱因斯坦的广义相对论是用微分几何的方法表述的。
  • She wrote her PhD thesis on applications of differential geometry to machine learning.她的博士论文研究微分几何在机器学习中的应用。
  • The textbook builds intuition for curves and surfaces through differential geometry.这本教材通过微分几何来建立对曲线和曲面的直观理解。
  • In differential geometry, curvature and geodesics play a central role.微分几何中,曲率和测地线起着核心作用。
  • Our seminar explores current research problems in differential geometry.我们的研讨会探讨微分几何中的前沿研究问题。
  • Without a solid background in calculus, differential geometry can be challenging.如果没有扎实的微积分基础,微分几何会很有挑战性。
  • The course emphasizes visual intuition in differential geometry, not just proofs.这门课强调微分几何中的直观图像,而不仅仅是证明。
  • She plans to apply differential geometry to analyze shapes in medical imaging.她计划将微分几何应用于医学影像中的形状分析。
  • Historically, differential geometry evolved alongside topology and analysis.从历史上看,微分几何与拓扑和分析一同发展。