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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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First- and second-grade prospective teachers reconstructing definitions of polygon diagonals
The current study examined how prospective first- and second-grade mathematics teachers define the polygon diagonals concept, how they reconstruct...
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Morphological flexibility in robotic systems through physical polygon meshing
Shape-changing robots adapt their own morphology to address a wider range of functions or environments than is possible with a fixed or rigid...
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Scalable Optimal Formation Path Planning for Multiple Interconnected Robots via Convex Polygon Trees
A Reconfigurable Modular Robotic System (RMRS) consists of multiple interconnected robots and can achieve various functionalities by rearranging its...
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Multivariate frequency polygon for stationary random fields
The purpose of this paper is to investigate the multivariate frequency polygon as a density estimator for stationary random fields indexed by...
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Rough-graph-based hotspot detection of polygon vector data
Spatial polygon data represents the area of some events such as disease cases, crime, health care facilities, earthquakes, and fires. Finding the...
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Computing the Minimal Perimeter Polygon for Sets of Rectangular Tiles based on Visibility Cones
To study convexity properties of digital planar objects, the minimum perimeter polygon (MPP) was defined in the 1970 s in articles by Sklansky,...
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Spanning simple path inside a simple polygon
Given a set S of n colored points of m colors inside a simple polygon P , each point within the polygon has a specific color that is not necessarily...
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Assessment of changes in monthly streamflow using innovative polygon trend analysis in the South Indian Rivers
This study focuses on a hydro-meteorological variable, streamflow, and its vulnerability to global warming. In this study, we analyze monthly...
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Entanglement polygon inequalities for pure states in qudit systems
Entanglement is one of the important resources in many quantum tasks. And the issue of high-dimensional entangled systems is intriguing. Here we...
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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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Polygon gluing and commuting bosonic operators
AbstractTwo families of commuting Hamiltonians are constructed, parameterized by a constant matrix. The first series is new and the second is...
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Evaluating the Thiessen polygon approach for efficient parameterization of urban stormwater models
Catchment discretization plays a key role in constructing stormwater models. Traditional methods usually require aerial or topographic data to...
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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...
