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词汇 Poincaré map
释义

Definition of Poincaré map in English:

Poincaré map

noun
Mathematics Physics
  • 1A representation of the phase space of a dynamic system, indicating all possible trajectories.

    〔数,物理〕庞加莱图谱

    1. 1.1 The intersection of a Poincaré map representation with a given line, plane, etc.
      庞加莱截面
      Example sentencesExamples
      • This is called a Poincaré section (above right), and the intersections of the red and green lines mark the locations and speeds at which one can segue from manifold to manifold for free.
      • The resulting plot, known as a Poincaré section, shows points scattered across the plane - like bullets puncturing a sheet of paper.

Origin

1950s: from the name of the French mathematician and philosopher of science Jules-Henri Poincaré (1854–1912).

Definition of Poincaré map in US English:

Poincaré map

nounˌpwänkəˈrā ˌmap
Mathematics Physics
  • 1A representation of the phase space of a dynamic system, indicating all possible trajectories.

    〔数,物理〕庞加莱图谱

    1. 1.1 The intersection of a Poincaré map representation with a given line, plane, etc.
      庞加莱截面
      Example sentencesExamples
      • The resulting plot, known as a Poincaré section, shows points scattered across the plane - like bullets puncturing a sheet of paper.
      • This is called a Poincaré section (above right), and the intersections of the red and green lines mark the locations and speeds at which one can segue from manifold to manifold for free.

Origin

1950s: from the name of the French mathematician and philosopher of science Jules-Henri Poincaré (1854–1912).

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