mathtools¶

Tools for math.

Classes

`Infinity`	Infinity.
`NegativeInfinity`	Negative infinity.
`NonreducedFraction`	Nonreduced fraction.
`NonreducedRatio`	Nonreduced ratio.
`Ratio`	Ratio.

Functions

`all_are_equal`	Is true when `argument` is an iterable collection of equal items.
`all_are_integer_equivalent`	Is true when `argument` is an iterable collection with integer-equivalent items.
`all_are_integer_equivalent_numbers`	Is true when `argument` is an iterable collection with integer-equivalent items.
`all_are_nonnegative_integer_equivalent_numbers`	Is true when `argument` is an iterable collection of nonnegative integer-equivalent numbers.
`all_are_nonnegative_integer_powers_of_two`	Is true when `argument` is an iterable collection of nonnegative integer powers of two.
`all_are_nonnegative_integers`	Is true when `argument` is an iterable collection of nonnegative integers.
`all_are_pairs_of_types`	Is true when `argument` is an iterable collection whose members are all of length 2, and where the first member of each pair is an instance of `first_type` and where the second member of each pair is an instance of `second_type`.
`all_are_positive_integers`	Is true when `argument` is an iterable collection of positive integers.
`are_relatively_prime`	Is true when `argument` is an iterable collection of relative primes.
`arithmetic_mean`	Gets arithmetic mean of `argument`.
`binomial_coefficient`	Gets binomial coefficient of `n` choose `k`.
`cumulative_products`	Gets cumulative products of `argument`.
`cumulative_sums`	Gets cumulative sums of `argument`.
`cumulative_sums_pairwise`	Gets pairwise cumulative sums of `argument` from zero.
`difference_series`	Gets difference series of `argument`.
`divisors`	Gets positive divisors of `n` in increasing order.
`factors`	Gets prime factors less than or equal to `n` .
`fraction_to_proper_fraction`	Changes `rational` to proper fraction.
`greatest_common_divisor`	Calculates greatest common divisor of `integers`.
`greatest_power_of_two_less_equal`	Gets greatest integer power of two less than or equal to positive `n`.
`integer_equivalent_number_to_integer`	Changes integer-equivalent `number` to integer.
`integer_to_base_k_tuple`	Changes nonnegative integer `n` to base-k tuple.
`integer_to_binary_string`	Changes positive integer `n` to binary string.
`is_assignable_integer`	Is true when `argument` is equivalent to an integer that can be written without recourse to ties.
`is_integer_equivalent`	Is true when `argument` is an integer-equivalent number.
`is_integer_equivalent_n_tuple`	Is true when `argument` is a tuple of `n` integer-equivalent items.
`is_integer_equivalent_number`	Is true when `argument` is a number and `argument` is equivalent to an integer.
`is_nonnegative_integer`	Is true when `argument` equals a nonnegative integer.
`is_nonnegative_integer_equivalent_number`	Is true when `argument` is a nonnegative integer-equivalent number.
`is_nonnegative_integer_power_of_two`	Is true when `argument` is a nonnegative integer power of 2.
`is_positive_integer`	Is true when `argument` equals a positive integer.
`is_positive_integer_equivalent_number`	Is true when `argument` is a positive integer-equivalent number.
`is_positive_integer_power_of_two`	Is true when `argument` is a positive integer power of 2.
`least_common_multiple`	Gets least common multiple of positive `integers`.
`partition_integer_by_ratio`	Partitions positive integer-equivalent `n` by `ratio`.
`partition_integer_into_canonic_parts`	Partitions integer `n` into canonic parts.
`sign`	Gets sign of `n`.
`weight`	Gets weight of `argument`.
`yield_all_compositions_of_integer`	Yields all compositions of positive integer `n`.