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Regular singular points as isomonodromic confluences of Fuchsian singular points
Russian Mathematical Surveys, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Singular Point, Organizing Center and Acupuncture Point
The American Journal of Chinese Medicine, 1989A hypothesis is proposed on the nature of acupuncture point and organizing center, the role of meridian system in growth regulation, and the mechanism of acupuncture. Both organizing centers and acupuncture points have low electric resistance.
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2021
Let \(V\subseteq \mathbb {A}^n\) be an affine variety, with \(\mathcal {I}_a(V)=(f_1,\ldots , f_m)\) and let \(P=(p_1,\ldots , p_n)\) be a point of V. Let r be a line passing through P, so that r has parametric equations of the form $$ x_i=p_i+\lambda _it, \quad \text {with}\quad t\in \mathbb {K}\quad \text {for}\quad i=1,\ldots , n,\quad \text ...
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Let \(V\subseteq \mathbb {A}^n\) be an affine variety, with \(\mathcal {I}_a(V)=(f_1,\ldots , f_m)\) and let \(P=(p_1,\ldots , p_n)\) be a point of V. Let r be a line passing through P, so that r has parametric equations of the form $$ x_i=p_i+\lambda _it, \quad \text {with}\quad t\in \mathbb {K}\quad \text {for}\quad i=1,\ldots , n,\quad \text ...
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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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Moving Singular Points and the Van der Pol Equation, as Well as the Uniqueness of Its Solution
Mathematics, 2023Víctor Orlov
exaly
Joint Estimation of Pose and Singular Points of Fingerprints
IEEE Transactions on Information Forensics and Security, 2021Jianjiang Feng, Jiwen Lu
exaly