#### A

absolute | The absolute value of a number |

adjoint_element | Adjoint element of a finite field quotient a polynomial |

adjoint_matrix | Adjoint matrix computation |

all_variables | All the variables of an expression |

amplitude | The amplitude of an arc |

angle | The angle between two objects |

annihilating_polynomial | Annihilating polynomial of an irrational |

append | Append a vertex to a polygon |

append | Appends an element |

arc | Arc constructor |

arccos | Arccosine function |

arccot | Arccotangent function |

arccsc | Arcosecant function |

arcosh | Inverse hyperbolic cosine function |

arcsec | Arcsecant function |

arcsin | Arcsine function |

arctan | Arctangent function |

area | Area enclosed in a figure |

argument | Argument of a complex number |

arguments | Arguments of an expression |

arithmetic? | Checks if a progression is arithmetic |

arsinh | Inverse hyperbolic sine function |

artanh | Inverse hyperbolic tangent function |

#### B

bar_chart | Draw a bar chart |

barycenter | Barycenter of a figure |

base_change | Change of base (decimal, binary...) |

base | Base ring of an extension |

belongs_to_domain? | Checks if a point belongs to domain |

belongs? | Checks if a point belongs to a figure |

belongs? | Checks if an element belongs to a set |

bernoulli_variable | Bernoulli variable |

bezout | Bezout identity |

bezout | Computes the polynomials of the bezout identity |

binomial_variable | Binomial variable |

binomial | Binomial number |

bisector | Bisector constructor |

bit | Bit expression of a number |

boxplot | Draw a boxplot |

#### C

canonic_vector | Construct a canonic vector |

cardinal | Cardinality of a set |

category | Category (arithmetic, geometric...) of a progression |

ceil | Ceiling function |

center | Center of a conic |

central_moment | Central moment computation |

characteristic_matrix | Compute the characteristic matrix |

characteristic_polynomial | Characteristic polynomial of a matrix |

characteristic_polynomial | Compute the characteristic polynomial |

characteristic | Characteristic of a ring |

chi_squared_variable | variable |

chinese_theorem | Chinese theorem coefficients |

circumcenter | Circumcenter point |

circumference | Circumference constructor |

circumradius | Circumradius |

closest_point | Closest point of a figure |

coefficient_domain | Coefficient domain of a polynomial |

coefficient_of_variation | Coefficient of variation computation |

coefficient_si | Coefficient of a quantity in the SI |

coefficient | Coefficient of a quantity |

coefficient | Coefficient of a series |

coefficients | Coefficients of a polynomial |

colinear? | Checks if points are colinear |

collect | Collect terms in a polynomial |

column | Column of a matrix |

combinations_with_repetitions | Number of combinations with repetitions |

combinations | Number of combinations |

compare | Compare function |

compass | The mark done with a compass |

complement | Complement of two sets |

complex_variable_name | Change the name of the complex variable |

components | Element components in a ring |

composition | Composition of two permutations |

conic | Conic constructor |

conjugate | Conjugate of a complex number |

conjugates | Conjugate of an element over the base field of an extension |

conjugates | Conjugates of a complex number |

constant_list | Constant list constructor |

constant_matrix | Construct a constant matrix |

constant_sequence | Create a constant sequence |

constant_vector | Construct a constant vector |

content_and_primitive_part | Content and primitive part of a polynomial |

content | Content of a polynomial |

convergent? | Checks if a series is convergent |

conversion_factor | Conversion factor between two units |

convert | Convert one quantity to another one |

coplanars? | Checks if points are coplanar |

correlation_n | Correlation computation, up to a factor |

correlation | Correlation computation |

cos | Cosine function |

cosh | Hyperbolic cosine function |

cot | Cotangent function |

count_element | Number of appearences of an element in a list |

covariance | Covariance computation |

csc | Cosecant function |

cube | Construct a cube |

curve | Construct a curve |

cycles_representation | Representation of a permutation by cycles |

#### D

decimal | Decimal part of a number |

definition | Definition of a function |

degree | Degree of a polynomial |

degree | Degree of a unit |

degrees_minutes_seconds | Angle expressed in degrees, minutes and seconds |

denominator | Denominator of a fraction |

density | Density function of a random variable |

depend | Dependencies of an expression |

determinant | Determinant of a matrix |

diagonal_matrix | Construct a diagonal matrix |

differentiate | Differentiation of a function |

dimensions | Dimensions of a matrix |

directrix | Directrix of a parabola |

discontinuities | Discontinuities of a function |

distance | Distance between two figures |

distribution | Distribution function of a random variable |

distribution | Distribution of the elements in a divisor |

divisor | Divisor constructor |

divisors_mu_moebius | Divisors of -Moebius function |

divisors | Divisors of a number |

dodecahedron | Constructs a dodecahedron |

domain | Returns the domain of a function |

double_factorial | Double factorial operation |

drop | Drop a vertex of a polygon |

#### E

eccentricity | Eccentricity of a conic |

eigenvalues_and_vectors | Eigenvalues and eigenvectors |

eigenvalues | Eigenvalues of a matrix |

eigenvectors | Eigenvectors of a matrix |

element_of_order | Element of a desired order in a ring |

element | Element of a set |

elements | Elements of a set |

ellipse | Constructs an ellipse |

else_if | Else_if statement |

else | Else statement |

empty_divisor | Empty divisor constructor |

empty_relation | Empty relation constructor |

empty_table | Empty table constructor |

equation_vector | Vector with equation coefficients |

equation | Equation of a figure |

equilateral_triangle | Equilateral triangle constructor |

equilateral? | Check if a triangle is equilateral |

erase | Erase a vertex of a polygon |

erase | Erase an element of a list |

evaluate | Evaluates an expression in a given point |

exp | Exponential function |

expand | Expand an expression |

expansion_point | Expansion point of a series |

exponential_variable | Exponential variable |

expression_to_set | Converts an expression to a set syntax |

expression | Expression of a curve |

expression | Converts a string to an expression |

extended_gcd | Extended greatest common divisor algorithm |

extended_gcd | Extended greatest common divisor algorithm for polynomials |

extended_quartile | Quartiles of a data sample |

extension | Algebraic extension constructor |

exterior_bisector | Exterior bisector lines |

external? | Checks if a point is external to a figure |

#### F

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 number |

factor | Factorization of a polynomial |

factorial | Factorial operation |

fibonacci | Fibonacci numbers |

field? | Checks if a set is a field |

field | Field where an element belongs |

finite? | Checks if a ring is finite |

finite_field | Finite field constructor |

first_vertex | First vertex of a segment |

floor | Floor function |

focal_semidistance | Focal semidistance of a conic |

focus | Focus of a conic |

for | For loop statement |

frobenius | Frobenius endomorphism |

function | User function constructor |

#### G

gaussian_elimination | Gaussian elimination algorithm |

gcd | Greatest common divisor of integers |

gcd | Greatest common divisor of polynomials |

geometric_mean | Geometric mean computation |

geometric_progression | Geometric progression constructor |

geometric_variable | Geometric variable |

get_domain | Type of object |

#### H

harmonic_mean | Harmonic mean computation |

head | First element of a list |

height_foot | Height and base intersection |

height | Height of triangle |

hermite_basis | Hermite decomposition basis |

hermite | Hermite decomposition |

hessenberg_reduction | Hessenberg reduction algorithm |

histogram | Draw a histogram |

homothecy | Constructs an homothecy |

hyperbola | Constructs an hyperbola |

#### I

i | Imaginary unit |

icosahedron | Constructs an icosahedron |

identity? | Checks if a permutation is the identity |

identity_function | Identity function |

identity_matrix | Identity matrix constructor |

identity | Constructs the identity permutation |

if | If statement |

image | Image or rank of a matrix |

imaginary_part | Imaginary part of a complex number |

in | Runs an iterator within a range |

incenter | Center of the incircle |

index_erase | Erase elements of a list |

index | Index of appeareances of an element |

index | Position of an element in a set |

initial_angle | Angle of starting point of an arc |

inradius | Radius of the incircle |

insert | Insert a vertex in a polygon |

insert | Insert an element in a list |

integral_curve | Integral curve of an ordinary differential equation |

integral_curves | Integral curves of an ordinary differential equation |

integrate | Integration of a function |

internal? | Checks if a point is internal to a figure |

interpolate | Interpolation of a function |

interquartile_range | Difference between third and first quartiles |

intersect | Intersection of two figures |

intersect | Intersection of two sets |

intervals | Constructor of intervals |

inverse | Inverse of a matrix |

irreducible? | Checks if a polynomial is irreducible |

irreducible_polynomial | Irreducible polynomial of the desired degree |

irreducible_polynomials | Irreducible polynomials of the desired degree |

is? | Checks the type of object |

#### J

#### K

#### L

lcm | Least common multiple of integers |

leading_coefficient | Leading coefficient of a polynomial |

leading_term | Leading term of a polynomial |

lcm | Least common multiple of polynomials |

legendre | Legendre symbol |

length | Length of a segment |

length | Size of an object |

level_curves | Level curves of an ordinary differential equation |

limit | Limit and one-sided limit of a function |

line | Line constructor |

linearly_independents? | Check if vectors are independents |

list | List constructor |

ln | Naperian or natural logarithm function |

local | Local variables |

log | Base 10 logarithm function |

log2 | Base 2 logarithm function |

lu_decomposition | LU decomposition of a matrix |

lucas | Lucas numbers |

#### M

maclaurin | Maclaurin series expansion |

matrix_range | Matrix dimensions range |

matrix | Conic matrix |

matrix | Matrix from polynomial |

max | Maximum of a set |

mean | Mean computation |

median_line | Median line of a triangle |

median | Median computation |

Metric prefixes | List of supported metric prefixes |

midpoint | Midpoint of a segment or arc |

min | Minimum of a set |

minor | Minor computation |

mod | Modulo operator |

mode | Mode computation |

moment | Moment computation |

monic? | Checks if a polynomial is monic |

monic | Transformation to a monic polynomial |

möbius_function | Möbius function |

multiplicity | Multiplicity of a root |

#### N

n_columns | Number of columns of a matrix |

n_rows | Number of rows of a matrix |

n_terms | Number of terms of an expression |

n_variables | Number of variables of an expression |

negative? | Checks if a number is negative |

norm_1 | 1-norm of a polynomial |

norm_2 | 2-norm of a polynomial |

norm_infinity | -norm of a polynomial |

norm | Norm of a vector |

normal_variable | Normal variable |

normal_vector | Normal vector of a plane |

not_belongs? | Checks if an element not belongs to a set |

not_null? | Checks if an object is not null |

not | Logical negation operator |

null? | Checks if an object is null |

number_of_arguments | Number of arguments of an operation |

number_of_irreducible_polynomials | Amount of irreducible polynomials |

numerator | Numerator of a fraction |

numerical_differentiation | Numerical differentiation of a function |

numerical_integration | Numerical integration of a function |

numerical_solve | Numerical solve of a system of equations |

#### O

octahedron | Constructor of an octahedron |

order | Order of a permutation |

order | Order of an element over a field |

oriented_angle | Oriented angle between two vectors |

oriented_area | Oriented area between two figures |

orthocenter | Orthocenter of a triangle |

#### P

parabola | Constructs a parabola |

parallel? | Checks if two lines are parallel |

parallel | Parallel line constructor |

partial_fractions | Partial fractions decomposition |

perimeter | Perimeter computation |

permutation | Constructs a permutation |

permutations_with_repetitions | Permutations with repetitions of a set |

permutations | Permutations of a set |

perpendicular_bisector | Perpendicular bisector line |

perpendicular? | Checks if two lines are perpendicular |

perpendicular_vector | Perpendicular vector |

perpendicular | Perpendicular line or plane |

phi_euler | -Euler function |

pie_chart | Draw a pie chart |

plane | Plane constructor |

plot | Plots an object |

point | Point constructor |

poisson_variable | Poisson variable |

polar_curve | Polar curve constructor |

polar | Polar form of a complex number |

polar | Polar line of a conic |

polo | Polo of a conic |

polygon | Polygon constructor |

polygonal | Polygonal constructor |

polygonals | Polygonals constructor |

polyhedra_cone_with_lid | Polyhedra cone with base constructor |

polyhedra_cone | Polyhedra cone constructor |

polyhedra_cylinder_with_lids | Polyhedra cylinder with bases constructor |

polyhedra_cylinder | Polyhedra cylinder constructor |

polyhedra_sphere | Polyhedra sphere constructor |

polyhedra_torus | Polyhedra torus constructor |

polyhedra | Polyhedra constructor |

polynomial_to_companion_matrix | Companion matrix constructor |

polynomic? | Checks if a progression is polynomic |

positive? | Checks if a number is positive |

power_modulo | Power of a polynomial modulo another polynomial |

power | Power of circumference |

precedent | Precedent algebraic structure of an extension |

prepend | Prepend a vertex in a polygon |

prepend | Prepend an element |

prime? | Checks if a number is prime |

prime_power | Prime power of a number |

prime | A prime number |

primitive_element | Primitive element of a field |

primitive_part | Primitive part of a polynomial |

prism | Prism constructor |

progression | Constructs a progression |

projection | Projection of a point |

projectivity | Image for a projectivity |

pseudoremainder | Pseudoremainder of two polynomials |

pyramid | Constructs a pyramid |

#### Q

qr_decomposition | QR decomposition of a matrix |

quadric | Quadric constructor |

quantile | Inverse of cumulative distribution |

quantity | Constructs a quantity |

quartile | Quartile computation |

quotient_and_remainder | Quotient and remainder of euclidean division |

quotient_and_remainder | Quotient and remainder of euclidean division |

quotient | Quotient of euclidean division |

quotient | Quotient of euclidean division |

#### R

radius | Radius of a circumference |

random | Random number following a distribution |

random | Random number generator |

rank | Rank of a matrix |

ratio | Ratio of a geometric progression |

rationalize | Rationalize a fraction with square roots |

real_part | Real part of a complex number |

region | Region between two curves |

regression_exponential | Regression following an exponential function |

regression_line | Regression following a linear function |

regression_logarithm | Regression following a logarithm function |

regression_power | Regression following a power law |

regular_polygon | Constructs a regular polygon |

relation | Creates a relation object |

relative_degree | Relative degree of an extension |

remainder | Remainder of euclidean division |

remainder | Remainder of euclidean division |

repeat | Repeat statement |

replace | Replace an element of a vector, list, matrix by another one |

represent | Represents an object and its interesting points |

resultant_matrix | Resultant matrix of two polynomials |

resultant | Resultant of two polynomials |

reverse | Reverses the order of an object |

ring? | Checks if a set is a ring |

root | Root of a number |

roots_to_polynomial | Polynomial with given roots |

roots | Roots of a number |

roots | Roots of a polynomial |

rotation_matrix | Construct a rotation matrix |

rotation | Rotates a figure |

round | Rounding to the nearest integer |

#### S

sec | Secant function |

second_vertex | Second vertex of a segment |

segment | Constructs a segment |

semimajor_axis | Semimajor axis of a conic |

semiminor_axis | Semiminor axis of a conic |

sequence | Constructs a sequence |

sequence | Sequence of vertices of a polygon |

series | Series of a function |

set | Set constructor |

sign | Sign function |

sign | Sign of a permutation |

sign0 | Sign function |

similar? | Checks if two triangles are similar |

simplify_radical | Simplify an expression with radicals |

simplify | Simplify an expression |

sin | Sine function |

sinh | Hyperbolic sine function |

skewness | Skewness computation |

slope | Slope of a line |

smith_normal_form_basis | Smith normal form |

smith_normal_form | Smith normal form invariant factors |

solve | Solve linear system |

solve_inequation | Solve an inequation |

solve | Solve a set of equations |

sort | Sort a set |

split | Split a string |

sqrt | Square root of a number |

sqrts | Square roots of a number |

square_free? | Checks if exists a square-free factorization |

square? | Square of a number |

standard_deviation_n | Standard deviation computation, up to a factor |

standard_deviation | Standard deviation computation |

standardize | Standardization of a random variable |

step | Step of a sequence |

string_substitution | Substitute strings in an expression |

string | String constructor |

student_t_variable | -student variable |

subextension? | Checks if an extension is a subextension |

subset? | Checks if a set is a subset of another one |

subspace_intersection | Intersection of subspaces |

subspace_sum | Sum of subspaces |

substitute | Substitute a variable by an expression |

substring | Get substrings from a larger string |

supplement | Supplement of an space |

support | Support (different from zero) of a relation, divisor... |

surface | Constructs a surface |

symmetric? | Check if a matrix is symmetric |

symmetry_matrix | Construct the symmetry matrix |

symmetry | Symmetry of an object |

#### T

table | Table constructor |

tail | Tail of a list |

tail | Tail of a polynomial |

take | The first or last elements of a list |

tan | Tangent function |

tangent_axle | Tangent axle |

tangent_line | Tangent line of a figure |

tangent_lines | Tangent lines of a figure |

tangent_points | Tangent points of a figure |

tanh | Hyperbolic tangent function |

tartaglia | Tartaglia triangle's row |

taylor_series | Taylor series of a function |

taylor | Taylor expansion of a function |

term_list | List of term of a series |

term | Term of a series |

terms_list | List of terms of a series |

terms | Terms of a series |

tetrahedron | Tetrahedron constructor |

to_decimal | To decimal form |

total_degree | Total degree of a field extension |

tower | Tower of an extension |

trace | Trace of a matrix |

translation_matrix | Translation matrix |

translation | Translation of a figure |

transpose | Transpose of a matrix |

transposition | Transposition permutation |

triangle | Constructs a triangle |

trunc | Trunc a number |

truncate | Truncate a series |

#### U

uniform_variable | Uniform variable |

union | Union of sets |

unit_si | Unit of a quantity in the SI |

Units | List of supported units |

#### V

variable | Variable of an expression |

variables | Variables of an expression |

variance_n | Variance computation, up to a factor |

variance | Variance computation |

variations_with_repetition | Variations with repetitions of a set |

variations | Variations of a set |

vector_field | Vector field of an ordinary differential equation |

vector | Constructs a vector |

vector | Permutation to vector converter |

vectorial_product | Vectorial or cross product |

versor | Versor computation |

vertex | Vertex of a parabola or polygon |

vertices | Vertices of a 3D triangle, polygonal or polygon |

volume | Volume of a figure |