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Combinatorics and Progressions

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

arithmetic?

Checks if a progression is arithmetic

binomial

Binomial number

category

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

combinations

Number of combinations

combinations_with_repetition

Number of combinations with repetitions

composition

Composition of two permutations

constant_sequence

Create a constant sequence

convergent?

Checks if a series is convergent

cycles_representation

Representation of a permutation by cycles

distribution

Distribution of the elements in a divisor

double_factorial

Double factorial operation

factorial

Factorial operation

fibonacci

Fibonacci numbers

geometric_progression

Geometric progression constructor

identity?

Checks if a permutation is the identity

identity

Constructs the identity permutation

jacobi

Jacobi symbol

legendre

Legendre symbol

lucas

Lucas numbers

order

Order of a permutation

permutation

Constructs a permutation

permutations

Permutations of a set

permutations_with_repetitions

Permutations with repetitions of a set

polynomic?

Checks if a progression is polynomic

progression

Constructs a progression

ratio

Ratio of a geometric progression

sequence

Constructs a sequence

sign

Sign of a permutation

step

Step of a sequence

tartaglia

Tartaglia triangle's row

transposition

Transposition permutation

variations

Variations of a set

variations_with_repetition

Variations with repetitions of a set

vector

Permutation to vector converter

zeros

Sequence of zeros