• Magma

  • Referenced in 1914 articles [sw00540]
  • such as groups, rings, fields, modules, algebras, schemes, curves, graphs, designs, codes and many others ... those areas of mathematics which are algebraic in nature. The overview provides a summary...
  • KernSmooth

  • Referenced in 653 articles [sw04586]
  • authors concentrate on the simplest nonparametric curve estimation setting, namely density and regression estimation. Special ... basic knowledge of statistics, calculus and matrix algebra is assumed. In its role...
  • MAPC

  • Referenced in 22 articles [sw04990]
  • library for manipulating algebraically defined points and curves in the plane. MAPC represents points ... rational numbers. Sections of algebraic plane curves. One and two dimensional ”boxes.” MAPC implements ... integers. Isolating all intersections of two algebraic plane curves ... region. Decomposing a plane algebraic curve into monotonic subsections. The current implementation of MAPC...
  • insulate

  • Referenced in 17 articles [sw21729]
  • computation of the topology of real algebraic curves. We consider the problem of computing ... graph induced by one (or more) algebraic curves in the real plane. We make ... studied for the case of a single curve. All proposed approaches to this problem ... topology of a single real algebraic curve. Even this prototypical implementation without optimizations appears...
  • Axel

  • Referenced in 21 articles [sw06457]
  • computation with curves, surfaces or volumes described by semi-algebraic representations. These include parametric ... intersection points or curves, singularities of algebraic curves or surfaces, certified topology of curves...
  • SingSurf

  • Referenced in 26 articles [sw00865]
  • Program for calculating singular algebraic curves and surfaces...
  • Lugares

  • Referenced in 13 articles [sw09861]
  • determines as a locus almost any algebraic curve specified by geometric conditions...
  • Surf

  • Referenced in 8 articles [sw04923]
  • visualize some real algebraic geometry: plane algebraic curves, algebraic surfaces and hyperplane sections of surfaces ... degree of the surface or curve. This has been achieved quite a bit. We have...
  • EXACUS

  • Referenced in 23 articles [sw02738]
  • compute arrangements of curves and curve segments of low algebraic degree, and Boolean operations...
  • VKCURVE

  • Referenced in 8 articles [sw08124]
  • complex plane of an algebraic curve, following Van Kampen’s method. It is written...
  • StewartGoughGenus7

  • Referenced in 5 articles [sw12558]
  • Gough mechanisms, whose motion curves are algebraic curves of genus 7. Up to translations, rotations...
  • RTC toolbox

  • Referenced in 10 articles [sw14256]
  • plus and max-plus algebra operators for these curves. On top of the min-plus...
  • PGeomlib

  • Referenced in 4 articles [sw06630]
  • obner bases and for work with algebraic curves. The implementation of the method is demonstrated...
  • algcurves

  • Referenced in 4 articles [sw09188]
  • offers tools for studying one-dimensional algebraic curves defined by multi-variate polynomials. Each command...
  • KoszulDivisorOnPic14M8

  • Referenced in 17 articles [sw12557]
  • Mukai, Curves, K3 surfaces and Fano 3-folds of genus ≤10. Algebraic geometry and commutative ... algebra, Vol. I, 357-377, Kinokuniya, Tokyo, 1988. [Ve] A. Verra, The unirationality ... moduli spaces of curves of genus 14 or lower. Compos. Math...
  • GENOM3CK

  • Referenced in 2 articles [sw07655]
  • genus computation of plane complex algebraic curves using knot theory. We report on a library ... genus of a plane complex algebraic curve using knot theory. The library also computes other ... singularities of the curve, the topological type (algebraic link) of each singularity, the Alexander polynomial...
  • PRECISE

  • Referenced in 6 articles [sw12581]
  • manipulation of non-linear algebraic primitives like curves and surfaces. The algorithms designed for these...
  • GRTensorII

  • Referenced in 32 articles [sw00393]
  • GRTensor II is a computer algebra package for performing calculations in the general area ... calculation of tensor components on curved spacetimes specified in terms of a metric ... stand alone package, but requires an algebraic engine. The program was originally developed for MapleV.GRTensorII...
  • SYNAPS

  • Referenced in 24 articles [sw00941]
  • univariate and multivariate polynomials, tools for manipulating algebraic numbers, for computing univariate and multivariate resultants ... sequences, for analysing the toplogy of implicit curves and surfaces...
  • LMFDB

  • Referenced in 23 articles [sw07249]
  • curves, number fields, and Dirichlet characters, as well as more generally from automorphic forms, algebraic...