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Newton Polygon
This paper is an introduction to the use of techniques originally developed by Newton to study local solutions of algebraic and ordinary differential...
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Curves that allow the motion of a regular polygon
This paper characterizes curves where a regular polygon of either a variable side length or a constant side length is allowed to rotate during k full...
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On the Search for Parameters of a Conformal Map** from a Half-Plane to a Circular Polygon
The problem of constructing a conformal map** from the upper half-plane to a circular polygon is considered. The preimages of the vertices of the...
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An efficient algorithm to clip a 2D-polygon against a rectangular clip window
Polygon clip** is of great importance in computer graphics. One of the popular algorithms to clip a polygon is Cohan—Sutherland Hodgeman algorithm...
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Closed-form solution of a class of generalized cubic B-splines
Using the Blossom method in the quasi extended Chebyshev space, we first construct a class of generalized cubic Bernstein functions in the...
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Power Series Solutions of Non-linear q-Difference Equations and the Newton–Puiseux Polygon
Adapting the Newton–Puiseux Polygon process to nonlinear q -difference equations of any order and degree, we compute their power series solutions,...
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Vortex Filament Equation for a Regular Polygon in the Hyperbolic Plane
The aim of this paper is twofold. First, we show the evolution of the vortex filament equation (VFE) for a regular planar polygon in the hyperbolic...
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Newton Polyhedra and Stratified Resolution of Singularities in the Class of Generalized Power Series
We generalize the construction of a toric variety associated with an integer convex polyhedron to construct generalized analytic varieties associated...
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A generalized scalar auxiliary variable method for the time-dependent Ginzburg-Landau equations
This paper develops a generalized scalar auxiliary variable (SAV) method for the time-dependent Ginzburg-Landau equations. The backward Euler method...
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Generalized Pentagonal Geometries-II
A generalized pentagonal geometry PENT( k , r , w ) is a partial linear space, where every line is incident with k points, every point is incident with r ...
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Generalized Rectangular Convexity
In this paper we investigate the tr-convexity and the rectangular biconvexity in Euclidean spaces.
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Generalization of Heron’s and Brahmagupta’s equalities to any cyclic polygon
It is well known that Heron’s equality provides an explicit formula for the area of a triangle, as a symmetric function of the lengths of its edges....
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Generalized Dissections and Monsky’s Theorem
Monsky’s celebrated equidissection theorem follows from his more general proof of the existence of a polynomial relation f among the areas of the...
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Spectral Approximation of Generalized Schrödinger Operators via Approximation of Subwords
We prove criteria, purely based on finite subwords of the potential, for spectral inclusion as well as Hausdorff approximation of pseudospectra or...
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Limit Theorems for the Generalized Perimeters of Random Inscribed Polygons: II
AbstractRecently, W. Lao and M. Mayer (2008) developed U -max-statistics, where instead of averaging the values of the kernel over various subsets,...
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Best and Random Approximations with Generalized Disc–Polygons
We generalize the existing results on linear and spindle convexity to the so-called L -convexity. We consider the asymptotic behaviour of the distance...
