I mean:
def binom(n, *ks):
# Check that there is at least one ki, and that their sum is less than
n, and that they are all nonnegative.
# Returns n! / (prod(ki! for ki in ks) * (n-sum(ks))!)
This would still work for binom(n, k), but would also work for the
mulinomial case.
On Sunday, March 22, 2020 at 2:01:18 PM UTC-4, Neil Girdhar wrote:
>
> I really like this idea. It fixes the weirdness whereby cmath is for
> complex numbers, and math is for real numbers and integers. I like
> separating them into three categories.
>
> One suggestion: Consider generalizing binom to the multinomial coefficent.
>
> def binom(n, *ks):
> # Returns n! / prod(ki! for ki in ks)
>
> Best,
>
> Neil
>
> On Thursday, July 12, 2018 at 7:57:08 AM UTC-4, Serhiy Storchaka wrote:
>>
>> What are your thoughts about adding a new imath module for integer
>> mathematics? It could contain the following functions:
>>
>> * factorial(n)
>>
>> Is just moved from the math module, but non-integer types are rejected.
>> Currently math.factorial() accepts also integer floats like 3.0. It
>> looks to me, the rationale was that at the time when math.factorial()
>> was added, all function in the math module worked with floats. But now
>> we can revise this decision.
>>
>> * gcd(n, m)
>>
>> Is just moved from the math module.
>>
>> * as_integer_ration(x)
>>
>> Equivalents to:
>>
>> def as_integer_ration(x):
>> if hasattr(x, 'as_integer_ration'):
>> return x.as_integer_ration()
>> else:
>> return (x.numerator, x.denominator)
>>
>> * binom(n, k)
>>
>> Returns factorial(n) // (factorial(k) * factorial(n-k)), but uses more
>> efficient algorithm.
>>
>> * sqrt(n)
>>
>> Returns the largest integer r such that r**2 <= n and (r+1)**2 > n.
>>
>> * isprime(n)
>>
>> Tests if n is a prime number.
>>
>> * primes()
>>
>> Returns an iterator of prime numbers: 2, 3, 5, 7, 11, 13,...
>>
>> Are there more ideas?
>>
>> _______________________________________________
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>>
>
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