Results 241 to 250 of about 230,228 (280)
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Normal Morse Data of Two Morse Functions
1988In this chapter we analyze the normal Morse data at a critical point p∈Z of a function f1: Z → ℝ under the assumption that there exists a second function f2: Z → ℝ such that the map (f1,f2): Z → ℝ2 has a nondegenerate critical point at p (see below).
Mark Goresky, Robert MacPherson
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Morse numbers and minimal morse functions on nonsimply connected manifolds
Ukrainian Mathematical Journal, 1988See the review in Zbl 0648.58005.
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On morse theory for piecewise smooth functions
Journal of Dynamical and Control Systems, 1997zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Agrachev, A. A. +2 more
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Thermodynamic Functions of Morse Oscillators
The Journal of Chemical Physics, 1964Partition functions and thermodynamic functions are calculated for one-dimensional classical and quantal Morse and harmonic oscillators to investigate anharmonic and quantal effects. Results are shown graphically for oscillators corresponding to H2, D2, and N2; results on Br2 are described briefly.
Roger W. Crecely, David J. Wilson
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The giant enhancement of nonreciprocal radiation in Thue-morse aperiodic structures
Optics and Laser Technology, 2022Jun Wu, Zhongmin Wang, Xiaohu Wu
exaly
The Topology of Morse Functions
2011The present chapter is the heart of Morse theory, which is based on two fundamental principles. The “weak” Morse principle states that as long as the real parameter t varies in an interval containing only regular values of a smooth function \(f : M \rightarrow \mathbb{R}\), the topology of the sublevel set {f ≤ t} is independent of t.
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Theory and Algorithms for Constructing Discrete Morse Complexes from Grayscale Digital Images
IEEE Transactions on Pattern Analysis and Machine Intelligence, 2011Vanessa Robins, Adrian P Sheppard
exaly