Yes, Sage modifies the defaults of Maxima, in particular we set domain to
complex.
On 3 December 2023 12:28:45 GMT, Oscar Benjamin <oscar.j.benja...@gmail.com>
wrote:
>On Wed, 29 Nov 2023 at 12:40, Eric Gourgoulhon <egourgoul...@gmail.com> wrote:
>>
>> Le mardi 28 novembre 2023 à 18:25:04 UTC+1, kcrisman a écrit :
>>
>> Yes. Maxima's attitude is that the square root of negative one is an
>> expression which might have multiple values, rather than just picking one
>> you hope might be consistent over branch points.
>>
>> To enforce Maxima to work in the real domain, avoiding to play too much with
>> complex square roots, one can add at the beginning of the Sage session:
>>
>> maxima_calculus.eval("domain: real;")
>>
>> Then the second example in the initial message of this thread yields
>>
>> [[x == 2/5*sqrt(6)*sqrt(5), y == 16, l == 1/9*18750^(1/6)], [x ==
>> -2/5*sqrt(6)*sqrt(5), y == 16, l == -1/9*18750^(1/6)]]
>>
>> instead of an empty list.
>
>When using Maxima (5.45.1) directly I get this result with default settings:
>
>(%i1) f: 10*x^(1/3)*y^(2/3)$
>
>(%i2) g: 5*x^2 + 6*y$
>
>(%i3) solve([diff(f,x)=l*diff(g,x), diff(f,y)=l*diff(g,y), g=120], [x,y,l]);
> 1/6
> 2 sqrt(6) 18750
>(%o3) [[x = ---------, y = 16, l = --------],
> sqrt(5) 9
> 1/6
> 2 sqrt(6) 18750
> [x = - ---------, y = 16, l = - --------]]
> sqrt(5) 9
>
>Does Sage modify some Maxima settings related to this or does it call
>something other than solve?
>
>--
>Oscar
>
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