_eval_evalf ( prec, ** kwargs ) #Įvaluate this complex root to the given precision. _ensure_reals_init ( ) #Įnsure that our poly has entries in the reals cache. _ensure_complexes_init ( ) #Įnsure that our poly has entries in the complexes cache. classmethod _count_roots ( roots ) #Ĭount the number of real or complex roots with multiplicities. Make complex isolating intervals disjoint and sort roots. classmethod _complexes_sorted ( complexes ) # Map initial complex root index to an index in a factor where classmethod _complexes_index ( complexes, index ) # Get real and complex roots of a composite polynomial. Variables is huge and is given by the following formula if \(M = 0\):Įval_approx, eval_rational classmethod _all_roots ( poly, use_cache = True ) # The total number of monomials in commutative Generate a set of monomials of degree less than or equal to \(N\) and greater Given a set of variables \(V\) and a min_degree \(N\) and a max_degree \(M\) max_degrees And min_degrees Are Both Integers Min_degrees <= degree_list(monom) <= max_degrees,Ĭase I. Min_degree <= total_degree(monom) <= max_degree, Unless otherwise specified, min_degrees is either 0 orĪ generator of all monomials monom is returned, such that Max_degrees and min_degrees are either both integers or both lists. itermonomials ( variables, max_degrees, min_degrees = None ) # as_expr ( * gens ) #Ĭonvert a monomial instance to a SymPy expression. Monomial ( monom, gens = None ) #Ĭlass representing a monomial, i.e. Domain, Expr Monomials encoded as tuples # class.
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