Results 231 to 240 of about 102,322 (264)
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2020
For a linear differential equation, a pole of the coefficient of the equation is called an irregular singular point if it is not a regular singular point. In this chapter, we explain the outline of the theory of irregular singular point. Several assertions are proved.
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For a linear differential equation, a pole of the coefficient of the equation is called an irregular singular point if it is not a regular singular point. In this chapter, we explain the outline of the theory of irregular singular point. Several assertions are proved.
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2020
Let a be a point in \(\mathbb {C}\), and f(x) a (multi-valued) holomorphic function in a neighborhood of a except a. The point x = a is said to be a regular singular point of f(x) if f(x) is not holomorphic at x = a, and if there exists a positive number N such that, for any θ1 < θ2,
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Let a be a point in \(\mathbb {C}\), and f(x) a (multi-valued) holomorphic function in a neighborhood of a except a. The point x = a is said to be a regular singular point of f(x) if f(x) is not holomorphic at x = a, and if there exists a positive number N such that, for any θ1 < θ2,
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Point Singularities in Micromagnetism
Journal of Applied Physics, 1968Solutions of the micromagnetic equations for the equilibrium distribution of magnetization may have singular points, at which no spontaneous magnetization exists, because the limit of the magnetization vector for an approach to this point on different rays has different values. The boundary conditions at these points are considered. The exchange-energy
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2000
How does a curve look in the neighborhood of a singular point? Recall that a formal definition of a singular and regular point on a curve (see Section 5.1) depends on a class of parametrization.
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How does a curve look in the neighborhood of a singular point? Recall that a formal definition of a singular and regular point on a curve (see Section 5.1) depends on a class of parametrization.
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1974
Suppose ϕ is a flow in \( {mathbb{S}^2} \), and \( S{\rm{(}}\varphi {\rm{)}}\;{\rm{ = }}\;square. \) □. As we shall show later, the behaviour of ϕ is very simple. In fact, if Ω ia any component of \( G(\varphi ) \), then Ω is an annulus, and if x ∈ Ω, then either (i) \( {O_\varphi }(x) \) is a Jordan curve which separates ∂(Ω), or (ii)
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Suppose ϕ is a flow in \( {mathbb{S}^2} \), and \( S{\rm{(}}\varphi {\rm{)}}\;{\rm{ = }}\;square. \) □. As we shall show later, the behaviour of ϕ is very simple. In fact, if Ω ia any component of \( G(\varphi ) \), then Ω is an annulus, and if x ∈ Ω, then either (i) \( {O_\varphi }(x) \) is a Jordan curve which separates ∂(Ω), or (ii)
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Computing singular points of plane rational curves
Journal of Symbolic Computation, 2008Wenping Wang, Falai Chen
exaly
An Algorithm Based on Singular Spectrum Analysis for Change-Point Detection
Communications in Statistics Part B: Simulation and Computation, 2003Anatoly Zhigljavsky +1 more
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Singular point detection by shape analysis of directional fields in fingerprints
Pattern Recognition, 2006Kil-Houm Park +2 more
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A Novel Algorithm for Detecting Singular Points from Fingerprint Images
IEEE Transactions on Pattern Analysis and Machine Intelligence, 2009Fanglin Chen, Jinwei Gu
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On Hadamard’s Test for Singular Points
Journal of the London Mathematical Society, 1926openaire +1 more source