
Magma
 Referenced in 2718 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 878 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 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...

insulate
 Referenced in 21 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 30 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 17 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 11 articles
[sw09188]
 offers tools for studying onedimensional algebraic curves defined by multivariate polynomials. Each command...

LMFDB
 Referenced in 91 articles
[sw07249]
 curves, number fields, and Dirichlet characters, as well as more generally from automorphic forms, algebraic...

StewartGoughGenus7
 Referenced in 8 articles
[sw12558]
 Gough mechanisms, whose motion curves are algebraic curves of genus 7. Up to translations, rotations...

EXACUS
 Referenced in 24 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...

KoszulDivisorOnPic14M8
 Referenced in 29 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...

RTC toolbox
 Referenced in 10 articles
[sw14256]
 plus and maxplus algebra operators for these curves. On top of the minplus...

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

Axl
 Referenced in 2 articles
[sw25792]
 manipulation, computation and visualisation of semialgebraic 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...

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...

abelfunctions
 Referenced in 2 articles
[sw19788]
 with Abelian functions, Riemann surfaces, and algebraic curves. A Sage library for computing with Abelian ... functions, Riemann surfaces, and algebraic curves. Abelfunctions is the Ph.D. thesis work of Chris Swierczewski...

GRTensorII
 Referenced in 40 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...