On 02/11/11 09:34 AM, daly wrote:
On Fri, 2011-02-11 at 09:20 +0000, David Kirkby wrote:
On 10 February 2011 14:51, rjf<fate...@gmail.com> wrote:
in maxima, gcd(1/4,1/6) is 1/12, lcm is 1/2
Since maxima immediately simplifies 2/1 to 2, there is no
distinction between gcd(2/1, ....) and gcd(2, ...)
FWIW, I just noticed that Mathematica treats 2/1 as an integer and not
as a rational.
In[1]:= Head[2]
Out[1]= Integer
In[2]:= Head[1/3]
Out[2]= Rational
In[3]:= Head[2/1]
Out[3]= Integer
What does MMA do with gcd(2/1,4)
This is version 7.0 - the latest is 8.0
In[2]:= GCD[2/1,4]
Out[2]= 2
You can try this in Wolfram|Alpha too, which uses the latest Mathematica (8.0).
Just go to
http://www.wolframalpha.com/
and type in "GCD[2/1,4]"
A direct URL is actually:
http://www.wolframalpha.com/input/?i=GCD[2%2F1%2C4]
What is interesting is that Wolfram|Alpha shows an alternate expression too:
8/LCM[2,4]
If I evaluate that in Mathematica, I get:
In[6]:= 8/LCM[2,4]
Out[6]= 2
If you ever want to know the output from Mathematica, you can try typing it in
Wolfram|Alpha. Obviously Wolfram|Alpha does not have the full functionality of
Mathematica exposed, as otherwise nobody would buy Mathematica. But a fair
amount of it seems to be available.
Using Wolfram|Alpha is a lot easier if you know the Mathematica expression.
Using the text a human would type is a lot more tedious, though typing "whats
the greatest common divider of 2 divided by one and 4?" does actually get the
right result.
http://www.wolframalpha.com/input/?i=whats+the+greatess+common+divider+of+2+divided+by+one+and+4%3F
Dave
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