Groups > comp.soft-sys.math.maple > #1254

Re: Do you trust Maple's results?

Newsgroups	comp.soft-sys.math.maple
Date	2017-09-26 13:59 -0700
References	<6c58e668-b54b-4d1a-b967-6faaf2d85b51@googlegroups.com> <bdb2b250-f287-43aa-8bf0-f7829cdd794b@googlegroups.com> <9d3afe37-c804-4dc4-b760-c356c917aa15@googlegroups.com>
Message-ID	<ae2a1055-c8dd-4c63-8cee-47b73daa49a6@googlegroups.com> (permalink)
Subject	Re: Do you trust Maple's results?
From	Peter Luschny <peter.luschny@gmail.com>

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> For n::posint larger than 100 the call GAMMA(n) returns unevaluated. 
> [...] With that in mind your use of `denom` above in procedure `a` 
> presumes a particular form that you might have realized would not attain.

Acer, I'm sure I've fallen into the same trap with Maple 
several times. Besides my bad memory, there's another reason:

It is beyond my imagination that in 2017 a CAS that wants to 
be more than a student project has such ridiculous limitations.

And yes, this may be pointed out in the Maple documentation, 
but I don't feel like looking into things that can be taken 
for granted, if they might have an exception in Maple.

Maybe I'm just spoiled by SageMath:

def a(n): return (gamma(n+1/2)^2/(2*n*pi)).denominator()
def b(n): return 2^(2*n+1+n.valuation(2)) 
print [a(n)/b(n) for n in (1..290)] 

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
1, 1, 1, 1, 1, 1, 1, 1, 1, 1]

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Do you trust Maple's results? Peter Luschny <peter.luschny@gmail.com> - 2017-09-23 06:46 -0700
  Re: Do you trust Maple's results? acer <maple@rogers.com> - 2017-09-25 13:39 -0700
    Re: Do you trust Maple's results? acer <maple@rogers.com> - 2017-09-26 11:12 -0700
      Re: Do you trust Maple's results? Peter Luschny <peter.luschny@gmail.com> - 2017-09-26 13:59 -0700

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