Results 271 to 280 of about 117,839 (311)

Singular Points and Singular Values of Mappings of Hilbert Manifolds

Journal of Mathematical Sciences, 2004
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Jacquet, S., Sarychev, A.
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Summability Tests for Singular Points

Canadian Mathematical Bulletin, 1972
King [5] devised two tests for determining when z = 1 is a singular point of the function f(z) defined by1having radius of convergence equal to one. The point z = 1 and radius of convergence one may be chosen without loss of generality.
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On the Singular Points in the Problem of Inversion

The Annals of Mathematics, 1932
Nach der Uniformierungstheorie ist es möglich, eine beliebig gegebene Riemannsche Fläche \(G(x, y) = 0\) vom Geschlecht \(p\) in der Form \(x =\varphi(t)\), \(y = \psi(t)\) zu uniformisieren, wo \(\varphi(t)\), \(\psi(t)\) automorphe Funktionen einer Hauptkreisgruppe \(\Gamma\) bezeichnen. Dadurch erhält man für die \(p\) Normalintegrale \(u_\alpha\) \(
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On the equivalence of singular point quantities and the integrability of a fine critical singular point

Nonlinear Analysis: Real World Applications, 2011
The authors give two recursive formulas to obtain the singular quantities to know when a singular point of a complex analytic system with linear part \(z'=z\), \(w'=-w\) is integrable. One is obtained searching for obstructions to have a formal first integral and the other one is obtained searching for conditions to have an integrating factor that does
Zhang, Qi, Liu, Yirong, Chen, Haibo
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Efficient Computation of Singular Points

IMA Journal of Numerical Analysis, 1989
The author tries to reduce the computational work which is necessary for the iterative construction of singular solutions of systems of nonlinear equations. He proposes variants of a Gauss-Newton-type procedure which is based on a representation of a Moore-Penrose pseudoinverse of a matrix of moderate size.
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Singular Point, Organizing Center and Acupuncture Point

The American Journal of Chinese Medicine, 1989
A 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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Smooth and Singular Points

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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Linearization at a Singular Point

2000
In this chapter we consider nonlinear control systems near a singular point, i.e., a common fixed point of the drift vector field and the control vector fields. Linearization at this point yields a bilinear system in ℝd; hence the linearized system is a special case of the general model considered in the preceding chapter.
Fritz Colonius, Wolfgang Kliemann
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Singular Points and their Computation

1984
The equilibria of many physical systems can be modelled by nonlinear multi-parameter equations of the form (1.1) (see [12]). Here f is a smooth function, x ∈ R n is the state variable, λ ∈ R is the bifurcation parameter, and α ∈ R p is a vector of control parameters.
A. D. Jepson, A. Spence
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Singular Points on Curves

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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