
Magma
 Referenced in 2082 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 694 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 18 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...

SingSurf
 Referenced in 27 articles
[sw00865]
 Program for calculating singular algebraic curves and surfaces...

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

Lugares
 Referenced in 15 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...

algcurves
 Referenced in 9 articles
[sw09188]
 offers tools for studying onedimensional algebraic curves defined by multivariate polynomials. Each command...

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 6 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 maxplus algebra operators for these curves. On top of the minplus...

KoszulDivisorOnPic14M8
 Referenced in 23 articles
[sw12557]
 Mukai, Curves, K3 surfaces and Fano 3folds of genus ≤10. Algebraic geometry and commutative ... algebra, Vol. I, 357377, Kinokuniya, Tokyo, 1988. [Ve] A. Verra, The unirationality ... moduli spaces of curves of genus 14 or lower. Compos. Math...

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

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...

LMFDB
 Referenced in 30 articles
[sw07249]
 curves, number fields, and Dirichlet characters, as well as more generally from automorphic forms, algebraic...

PRECISE
 Referenced in 6 articles
[sw12581]
 manipulation of nonlinear 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...