- Morse function
-
A real-valued function on a differentiable manifold such that, at each point in its domain where the functions differential is zero, the functions Hessian is nonsingular.
Wikipedia foundation.
Morse function
Look at other dictionaries:
Morse theory — Morse function redirects here. In another context, a Morse function can also mean an anharmonic oscillator: see Morse potential In differential topology, the techniques of Morse theory give a very direct way of analyzing the topology of a… … Wikipedia
Morse homology — In mathematics, specifically in the field of differential topology, Morse homology is a homology theory defined for any smooth manifold. It is constructed using the smooth structure and an auxiliary metric on the manifold, but turns out to be… … Wikipedia
Morse–Smale system — In dynamical systems theory, an area of applied mathematics, a Morse–Smale system is a smooth dynamical system whose non wandering set consists of finitely many hyperbolic equilibrium points and hyperbolic periodic orbits and satisfying a… … Wikipedia
Morse — can refer to: Morse code, a method of coding messages into long and short beeps Contents 1 People 2 Places 3 Buildings 4 Other uses … Wikipedia
Morse–Kelley set theory — In the foundation of mathematics, Morse–Kelley set theory (MK) or Kelley–Morse set theory (KM) is a first order axiomatic set theory that is closely related to von Neumann–Bernays–Gödel set theory (NBG). While von Neumann–Bernays–Gödel set theory … Wikipedia
Morse potential — Computational physics Numerical analysis … Wikipedia
Morse code — Chart of the Morse code letters and numerals Morse code is a method of transmitting textual information as a series of on off tones, lights, or clicks that can … Wikipedia
Morse-Palais lemma — In mathematics, the Morse Palais lemma is a result in the calculus of variations and theory of Hilbert spaces. Roughly speaking, it states that a smooth enough function near a critical point can be expressed as a quadratic form after a suitable… … Wikipedia
Morse–Palais lemma — In mathematics, the Morse–Palais lemma is a result in the calculus of variations and theory of Hilbert spaces. Roughly speaking, it states that a smooth enough function near a critical point can be expressed as a quadratic form after a suitable… … Wikipedia
Discrete Morse theory — is a combinatorial adaptation of Morse theory defined on finite CW complexes. Contents 1 Notation regarding CW complexes 2 Discrete Morse functions 3 The Morse complex … Wikipedia
