Last Updated
：2025/11/25
Morse function
Noun
Japanese Meaning
滑らかな多様体上の実数値関数であって、その関数の微分がゼロとなる各点において、Hessian行列（2階微分）が非特異（逆行列が存在する）であるという条件を満たす関数。
（ plural ）
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A real-valued function on a differentiable manifold such that, at each point in its domain where the function's differential is zero, the function's Hessian is nonsingular.
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Morse function
The topology of a manifold can often be revealed by analyzing the critical points of a Morse function.
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The topology of a manifold can often be revealed by analyzing the critical points of a Morse function.
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