
concept  AlgebraicKernel_d_2::ApproximateAbsoluteX_2 
 A model of AlgebraicKernel_d_2::ApproximateAbsoluteX_2 is an AdaptableBinaryFunction that computes an approximation of the \( x\)coordinate of an AlgebraicKernel_d_2::Algebraic_real_2 value with respect to a given absolute precision. More...


concept  AlgebraicKernel_d_2::ApproximateAbsoluteY_2 
 A model of AlgebraicKernel_d_2::ApproximateAbsoluteY_2 is an AdaptableBinaryFunction that computes an approximation of the \( y\)coordinate of an AlgebraicKernel_d_2::Algebraic_real_2 value with respect to a given absolute precision. More...


concept  AlgebraicKernel_d_2::ApproximateRelativeX_2 
 A model of AlgebraicKernel_d_2::ApproximateRelativeX_2 is an AdaptableBinaryFunction that computes an approximation of the \( x\)coordinate of an AlgebraicKernel_d_2::Algebraic_real_2 value with respect to a given relative precision. More...


concept  AlgebraicKernel_d_2::ApproximateRelativeY_2 
 A model of AlgebraicKernel_d_2::ApproximateRelativeY_2 is an AdaptableBinaryFunction that computes an approximation of the \( y\)coordinate of an AlgebraicKernel_d_2::Algebraic_real_2 value with respect to a given relative precision. More...


concept  AlgebraicKernel_d_2::BoundBetweenX_2 
 Computes a number of type AlgebraicKernel_d_1::Bound inbetween the first coordinates of two AlgebraicKernel_d_2::AlgebraicReal_2 . More...


concept  AlgebraicKernel_d_2::BoundBetweenY_2 
 Computes a number of type AlgebraicKernel_d_1::Bound inbetween the second coordinates of two AlgebraicKernel_d_2::AlgebraicReal_2 . More...


concept  AlgebraicKernel_d_2::CompareX_2 
 Compares the first coordinates of AlgebraicKernel_d_2::Algebraic_real_2 s. More...


concept  AlgebraicKernel_d_2::CompareXY_2 
 Compares AlgebraicKernel_d_2::Algebraic_real_2 s lexicographically. More...


concept  AlgebraicKernel_d_2::CompareY_2 
 Compares the second coordinated of AlgebraicKernel_d_2::Algebraic_real_2 s. More...


concept  AlgebraicKernel_d_2::ComputePolynomialX_2 
 Computes a univariate square free polynomial \( p\), such that the first coordinate of a given AlgebraicKernel_d_2::Algebraic_real_2 is a real root of \( p\). More...


concept  AlgebraicKernel_d_2::ComputePolynomialY_2 
 Computes a univariate square free polynomial \( p\), such that the second coordinate of a given AlgebraicKernel_d_2::Algebraic_real_2 is a real root of \( p\). More...


concept  AlgebraicKernel_d_2::ComputeX_2 
 Computes the first coordinate of an AlgebraicKernel_d_2::AlgebraicReal_2 . More...


concept  AlgebraicKernel_d_2::ComputeY_2 
 Computes the second coordinate of an AlgebraicKernel_d_2::AlgebraicReal_2 . More...


concept  AlgebraicKernel_d_2::ConstructAlgebraicReal_2 
 Constructs an AlgebraicKernel_d_2::Algebraic_real_2 . More...


concept  AlgebraicKernel_d_2::IsCoprime_2 
 Computes whether a given pair of bivariate polynomials is coprime. More...


concept  AlgebraicKernel_d_2::Isolate_2 
 Computes an isolating box for a given AlgebraicKernel_d_2::Algebraic_real_2 . More...


concept  AlgebraicKernel_d_2::IsolateX_2 
 Computes an isolating interval for the first coordinate of an AlgebraicKernel_d_2::Algebraic_real_2 with respect to the real roots of a univariate polynomial. More...


concept  AlgebraicKernel_d_2::IsolateY_2 
 Computes an isolating interval for the second coordinate of an AlgebraicKernel_d_2::Algebraic_real_2 with respect to the real roots of a univariate polynomial. More...


concept  AlgebraicKernel_d_2::IsSquareFree_2 
 Computes whether the given bivariate polynomial is square free. More...


concept  AlgebraicKernel_d_2::IsZeroAt_2 
 Computes whether an AlgebraicKernel_d_2::Polynomial_2 is zero at a given AlgebraicKernel_d_2::Algebraic_real_2 . More...


concept  AlgebraicKernel_d_2::MakeCoprime_2 
 Computes for a given pair of bivariate polynomials \( p_1\), \( p_2\) their common part \( g\) and coprime parts \( q_1\), \( q_2\) respectively. More...


concept  AlgebraicKernel_d_2::MakeSquareFree_2 
 Returns a square free part of a bivariate polynomial. More...


concept  AlgebraicKernel_d_2::NumberOfSolutions_2 
 Computes the number of real solutions of the given bivariate polynomial system. More...


concept  AlgebraicKernel_d_2::SignAt_2 
 Computes the sign of a bivariate polynomial AlgebraicKernel_d_2::Polynomial_2 at a value of type AlgebraicKernel_d_2::Algebraic_real_2 . More...


concept  AlgebraicKernel_d_2::Solve_2 
 Computes the real zerodimensional solutions of a bivariate polynomial system. The multiplicity stored in the output iterator is the multiplicity in the system. More...


concept  AlgebraicKernel_d_2::SquareFreeFactorize_2 
 Computes a square free factorization of an AlgebraicKernel_d_2::Polynomial_2 . More...


concept  AlgebraicKernel_d_2 
 A model of the AlgebraicKernel_d_2 concept gathers necessary tools for solving and handling bivariate polynomial systems of general degree \( d\). More...

