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Re: Reducing or Simplifying sqrt(2)

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Axel Vogt <&noreply@axelvogt.de> writes:

> On 02.06.2014 02:53, acer wrote:
>> Le samedi 31 mai 2014 23:38:36 UTC-4, Thomas D. Dean a écrit :
>>> I think I have been here before, just can not remember a way out.
> ...
>> This might sound a bit strange, but how about eliminating w.r.t. some name that is not present in `eq`?  Eg,
>>
>> restart:
>>
>> eq := (1/2)*2^(1/2)*x+(1/2)*y*2^(1/2)-2^(1/2) = 0;
>>
>>                1  (1/2)     1    (1/2)    (1/2)
>>                - 2      x + - y 2      - 2      = 0
>>                2            2
>>
>> eliminate([eq],':-dummy')[2,1]=0;
>>
>>                           x + y - 2 = 0
>
> This is a bit odd. Would you mind to give some explanation?

It sort-of makes sense---either that or magic!  Note that the equation
of interest goes in the second set returned by eliminate, i.e. the set
of equations remaining after dummy has been eliminated.  These equations
get processed, though the help page doesn't explain how.  Acer correctly
anticipated that the algorithm would remove the undesired factor.

-- 
Joe Riel

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Reducing or Simplifying sqrt(2) "Thomas D. Dean" <tomdean@speakeasy.org> - 2014-05-31 20:38 -0700
  Re: Reducing or Simplifying sqrt(2) Joe Riel <joer@san.rr.com> - 2014-05-31 21:20 -0700
  Re: Reducing or Simplifying sqrt(2) acer <maple@rogers.com> - 2014-06-01 17:53 -0700
    Re: Reducing or Simplifying sqrt(2) Axel Vogt <&noreply@axelvogt.de> - 2014-06-03 22:21 +0200
      Re: Reducing or Simplifying sqrt(2) Joe Riel <joer@san.rr.com> - 2014-06-03 15:44 -0700

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