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Expressions and Polynomials

Below you can find a complete list of the existing commands related to Expressions and Polynomials. You can access the dedicated documentation for each command by clicking on its name.

all_variables

All the variables of an expression

arguments

Arguments of an expression

belongs_to_domain?

Checks if a point belongs to domain

bezout

Computes the polynomials of the bezout identity

coefficient_domain

Coefficient domain of a polynomial

coefficients

Coefficients of a polynomial

collect

Collect terms in a polynomial

degree

Degree of a polynomial

depend

Dependencies of an expression

discontinuities

Discontinuities of a function

domain

Returns the domain of a function

evaluate

Evaluates an expression in a given point

expand

Expand an expression

expression_to_set

Converts an expression to a set syntax

extended_gcd

Extended greatest common divisor algorithm for polynomials

factor_in_square_free_multiplicity

Factorization of a polynomial in square free polynomials

factor_in_square_free

Factorization of a polynomial in square free polynomials

factor

Factorization of a polynomial

gcd

Greatest common divisor of polynomials

intervals

Constructor of intervals

leading_coefficient

Leading coefficient of a polynomial

leading_term

Leading term of a polynomial

lcm

Least common multiple of polynomials

monic?

Checks if a polynomial is monic

monic

Transformation to a monic polynomial

multiplicity

Multiplicity of a root

norm_1

1-norm of a polynomial

norm_2

2-norm of a polynomial

norm_infinity

-norm of a polynomial

n_terms

Number of terms of an expression

n_variables

Number of variables of an expression

partial_fractions

Partial fractions decomposition

quotient_and_remainder

Quotient and remainder of euclidean division

quotient

Quotient of euclidean division

remainder

Remainder of euclidean division

roots_to_polynomial

Polynomial with given roots

roots

Roots of a polynomial

simplify_radical

Simplify an expression with radicals

simplify

Simplify an expression

square_free?

Checks if exists a square-free factorization

substitute

Substitute a variable by an expression

tail

Tail of a polynomial

variable

Variable of an expression

variables

Variables of an expression