Results 271 to 280 of about 82,785 (291)

Analytic Discs with Rectifiable Simple Closed Curves as Ends

The Annals of Mathematics, 1988
The following two theorems are proved: a) Let \(\Gamma\) be a rectifiable simple closed curve in \({\mathbb{C}}^ N\), \(\Delta\) the open unit disc in \({\mathbb{C}}\). If \(f: \Delta\to {\mathbb{C}}^ N-\Gamma\) is a bounded proper holomorphic map, then f' belongs to the Hardy space \(H^ 1\). Moreover f carries \(b\Delta\) onto \(\Gamma\) as a covering
Globevnik, Josip, Stout, Edgar Lee
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Rhombi inscribed in simple closed curves

Geometriae Dedicata, 1995
A famous problem dating back to 1911 asks whether every simple closed curve in \(\mathbb{R}^2\) has an inscribed square. It has been proved that every sufficiently smooth simple closed curve has an inscribed square, and that every simple closed curve has an inscribed rectangle.
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Numerical Evaluation of Integrals Around Simple Closed Curves

SIAM Journal on Numerical Analysis, 1973
Let f be a function analytic in a multiply connected region, D, containing the simple closed contour C. Approximations to the contour integral of f around C by weighted sums of function values are considered. For any fixed choice of distinct evaluation points, the weights can be chosen so that the quadrature is exact for elements of a linear space of ...
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The Numerical Evaluation of the Cauchy Transform on Simple Closed Curves

SIAM Journal on Numerical Analysis, 1972
Consider the Cauchy transform \[T\varphi (z) = \frac{1}{{\pi i}}\int_\Gamma {\frac{{\varphi (\zeta )d\zeta }}{{\zeta - z}},} \quad z \in \Gamma ,\] in which $\Gamma $ is a simple closed curve with a continuously differentiable parameterization. In order to have direct methods for the numerical solution of equations involving $T\varphi (z)$, it is ...
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On equivalence of simple closed curves in flat surfaces

Acta Mathematica Sinica, English Series, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The Space of Simple Closed Curves in a Surface

2021
Valentin Poénaru, Albert Fathi
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Accessibility and Separation by Simple Closed Curves

American Journal of Mathematics, 1941
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Convex and Concave Vertices on a Simple Closed Curve in the Triangular Grid

Lecture Notes in Computer Science, 2019
Comic Lidija
exaly  

Another semigroup characterization of the simple closed curve

Semigroup Forum, 1980
K D Magill, S Subbiah, Magill K D
exaly  

Some Characterizations of Arcs and Simple Closed Curves

American Journal of Mathematics, 1948
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