• Magma

  • Referenced in 3363 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 1018 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...
  • insulate

  • Referenced in 24 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...
  • MAPC

  • Referenced in 23 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...
  • SingSurf

  • Referenced in 31 articles [sw00865]
  • Program for calculating singular algebraic curves and surfaces...
  • Axel

  • Referenced in 22 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...
  • LMFDB

  • Referenced in 167 articles [sw07249]
  • curves, number fields, and Dirichlet characters, as well as more generally from automorphic forms, algebraic...
  • Lugares

  • Referenced in 19 articles [sw09861]
  • determines as a locus almost any algebraic curve specified by geometric conditions...
  • algcurves

  • Referenced in 16 articles [sw09188]
  • offers tools for studying one-dimensional algebraic curves defined by multi-variate polynomials. Each command...
  • 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...
  • StewartGoughGenus7

  • Referenced in 8 articles [sw12558]
  • Gough mechanisms, whose motion curves are algebraic curves of genus 7. Up to translations, rotations...
  • MFEM

  • Referenced in 62 articles [sw09043]
  • similar to that of MATLAB for linear algebra methods. In particular, MFEM supports a wide ... General element transformations, allowing for elements with curved boundaries are also supported. MFEM is commonly ... used as a ”finite element to linear algebra translator”, since it can take a problem ... type objects, and produce the corresponding linear algebra vectors and sparse matrices. In order...
  • EXACUS

  • Referenced in 24 articles [sw02738]
  • compute arrangements of curves and curve segments of low algebraic degree, and Boolean operations...
  • PGeomlib

  • Referenced in 8 articles [sw06630]
  • obner bases and for work with algebraic curves. The implementation of the method is demonstrated...
  • VKCURVE

  • Referenced in 8 articles [sw08124]
  • complex plane of an algebraic curve, following Van Kampen’s method. It is written...
  • KoszulDivisorOnPic14M8

  • Referenced in 33 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...
  • Axl

  • Referenced in 4 articles [sw25792]
  • manipulation, computation and visualisation of semi-algebraic models. This includes meshes, basic geometric objects such ... spline parameterisations, as well as algebraic curves and surfaces defined by polynomial equations. Moreover ... curves) of parametric models, singularities of algebraic curves or surfaces, certified topology of curves ... short descriptions of plugins on algebraic curves and surfaces and on splines for isogeometric analysis...
  • RTC toolbox

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

  • Referenced in 49 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...
  • 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...