• MAPC

  • Referenced in 23 articles [sw04990]
  • provide a way to represent points and curves without having to worry about the details ... with floating-point, multiprecision integer, or multiprecision rational coefficients. Algebraic numbers represented as the roots ... algebraic numbers or as rational numbers. Sections of algebraic plane curves. One and two dimensional ... region. Decomposing a plane algebraic curve into monotonic subsections. The current implementation of MAPC...
  • Muntingh

  • Referenced in 5 articles [sw19372]
  • arity, Symmetry detection of rational space curves from their curvature ... torsion, Detecting similarity of plane rational Curves, Detecting symmetries of rational plane and space curves...
  • paraplanecurves.lib

  • Referenced in 3 articles [sw15198]
  • Singular library for the parametrization of rational curves. Rational parametrization of rational plane curves...
  • RelBrauer

  • Referenced in 10 articles [sw31691]
  • group of a genus 1 curve over the rational numbers! . This is a translation/rewriting...
  • Parametrization

  • Referenced in 1 article [sw30566]
  • Macaulay2 package Parametrization - Rational parametrization of rational curves and related computations. Parametrization is a package ... compute rational parametrizations of rational curves defined over ℚ. Suppose C is a rational plane ... maps the curve birationally to a rational normal curve in ℙn-2. Iterating the anticanonical ... Boehm: Rational parametrization of rational curves, http://www.math.uni-sb.de/ag/schreyer/jb/diplom%20janko%20boehm.pdf. The package is work in progress...
  • na25

  • Referenced in 6 articles [sw11492]
  • intersection of two plane curves given in rational parametric form [the general solution steps...
  • Implicit

  • Referenced in 1 article [sw32438]
  • compute implicit equations for the rational curves and surfaces. Implicit is a package for implicitizing ... rational planar curves and rational tensor product surfaces, developed on Maplesoft based on the state ... return the implicit equation of a rational planar curve or a rational tensor product surface...
  • MIRACL

  • Referenced in 29 articles [sw06009]
  • Rational Arithmetic C/C++ Library). Multiprecision Integer and Rational Arithmetic Cryptographic Library (MIRACL ... particularly adept at methods based on Elliptic Curves, and the new paradigm of Pairing-Based...
  • PRECISE

  • Referenced in 7 articles [sw12581]
  • manipulation of non-linear algebraic primitives like curves and surfaces. The algorithms designed for these ... sign of determinants with rational entries, boundary evaluation and curve arrangements. We also present...
  • insulate

  • Referenced in 20 articles [sw21729]
  • studied for the case of a single curve. All proposed approaches to this problem ... counting real roots of polynomials with non-rational coefficients. We achieve this using two simple ... approaches: a triple projections method and a curve avoidance method. We have implemented our approach...
  • schubert.lib

  • Referenced in 1 article [sw27180]
  • insightful example, the numbers of rational curves on general complete intersection Calabi-Yau threefolds...
  • Conchoid

  • Referenced in 1 article [sw28210]
  • conchoid of several algebraic plane curves are obtained, their rationality is analyzed, and parametrizations ... offset and conchoid curves of two rational families of curves using the implemented packages...
  • Offset

  • Referenced in 1 article [sw28211]
  • conchoid of several algebraic plane curves are obtained, their rationality is analyzed, and parametrizations ... offset and conchoid curves of two rational families of curves using the implemented packages...
  • smallDegree

  • Referenced in 3 articles [sw31639]
  • needed in the paper: Rationality of moduli spaces of plane curves of small degree...
  • rationality

  • Referenced in 3 articles [sw31640]
  • needed in the paper: Rationality fo Moduli Spaces of Plane Curves. Macaulay2 Scripts to Check...
  • QCI

  • Referenced in 2 articles [sw26065]
  • program determines the set of rational points of a curve defined over...
  • AMB

  • Referenced in 2 articles [sw08810]
  • third order Bézier curves given in polynomial and rational form are compared to the circle ... components are modeled with parametric curves under constraints defined by the AMB static and dynamic...
  • ImUp

  • Referenced in 1 article [sw14752]
  • package for computing piecewise rational reparameterizations of parametric plane curves, which have improved uniformities...
  • libnurbs

  • Referenced in 1 article [sw30659]
  • Splines Library: Non-Uniform Rational B-Splines (NURBS) curves and surface are very general mathematical...
  • SpaceCurves

  • Referenced in 2 articles [sw27082]
  • method curve(Divisor) produces a random curve in a given divisor class. For a given ... rational quartic surface with a double line, all obtainable genus of a smooth curve will...