Re: [Maxima-discuss] Combining functions under square root

[Fritz S. <son...@gm...>]

OK---this works line-by-line. But either I don't see a way of setting this
globally--or it cannot be set as such:
(%i2) c1:(2*ω)^(1/2);
   (%o2) sqrt(2)*sqrt(ω)
(%i3) c2:rootscontract(  (Ω*2*ω*3)^(1/2)  );
   (%o3) sqrt(6*Ω*ω)
(%i5) rootsconmode: true;
   (%o5) true
(%i8) (Ω*2*ω*3)^(1/2);
   (%o8) sqrt(6)*sqrt(Ω*ω)

Possibly I am expecting Maxima to do things it was not intended for. I am
trying to write out messy algebraic constructs in the way I (and many
others) would do them on pencil and paper. Thus if I see square roots of
several variables--my inclination would be to place them under one root.
There are exceptions of course.

Thanks
Fritz

On Sat, Oct 21, 2023 at 1:04 PM Barton Willis <wi...@un...> wrote:

>
>
> I  agree with the recommendations of Richard. But for this case, *rootscontract
> * “simplifies” the expression
>
>
>
> (%i23) sqrt(2)*sqrt(ω);
>
> (%o23) sqrt(2)*sqrt(ω)
>
>
>
> (%i24)  rootscontract(%);
>
> (%o24) sqrt(2*ω)
>
>
>
> Likely, subsequent calculations will revert this “simplification.”
>
>
>
> There are some option variables that modify the way *rootscontract*
> works; to see these options, enter ?rootscontract.
>
>
>
>
>
>
>
>
>
>
>
> Sent from Mail <https://go.microsoft.com/fwlink/?LinkId=550986> for
> Windows
>
>
>
> *From: *Richard Fateman <fa...@gm...>
> *Sent: *Saturday, October 21, 2023 10:51 AM
> *To: *Fritz Sonnichsen <son...@gm...>
> *Cc: *<max...@li...>
> <max...@li...>
> *Subject: *Re: [Maxima-discuss] Combining functions under square root
>
>
>
> Non-NU Email
>
> Maxima generally has its own notion of what is simple. This can be
> modified in a number of ways by
>
> calling programs like ratsimp or factor. It can also be modified by
> setting some global flags.  If your
>
> goal is to get Maxima to produce exactly the form you have in mind, you
> may be lucky or you may
>
> have a special requirement not easy to satisfy.  My recommendation is to
> do the calculations of
>
> interest using as much built-in algebraic manipulation and formatting as
> possible.
>
> Try to get personally comfortable with this.  Realize that there are many
> contexts for mathematics
>
> and they each can have their own conventions.
>
>
>
> You may also find it possible to rename pieces. thus ratsubst(root2w,
> sqrt(2*w),  sqrt(2*w))  returns root2w.
>
>
>
> If you want to have the result typeset in a particular form, try
> outputting to TeX, and edit the TeX.
>
>
>
> See if you can explain possible reasons for different ordering conventions
> in well-known formulas like
>
> v=a*t, but f=m*a.    or e=m*c^2.
>
>
>
> RJF
>
>
>
>
>
> On Sat, Oct 21, 2023 at 8:44 AM Fritz Sonnichsen <son...@gm...>
> wrote:
>
> I am using maxima to simplify messy expressions- reducing derivatives,
> combining terms and so forth.
>
>    If you send the following to wxMaxima the resulting square roots are
> broken up:
>
> (%i8) c1:(2*ω)^(1/2);
>    (%o8) sqrt(2)*sqrt(ω)
> (%i13) combine(    (2*ω)^(1/2)  );
>    (%o13) sqrt(2)*sqrt(ω)
>
>
>
> I would have hoped for something like: sqrt(2* ω)
>
>
>
> I could not find anything to do this in the documents..Is there some
> command or other method to cause a combination of such variables?
>
>
>
> Thank you
>
> Fritz
>
>
>
>
>
> _______________________________________________
> Maxima-discuss mailing list
> Max...@li...
> https://lists.sourceforge.net/lists/listinfo/maxima-discuss
> <https://urldefense.com/v3/__https:/lists.sourceforge.net/lists/listinfo/maxima-discuss__;!!PvXuogZ4sRB2p-tU!FTD_thKtjd7_fZC7sD8Wa_-5LbyJDnLLku3oFE32XEcPWRwtv8HIVS4Vm1UdvF2avSyBpaol6-zyAQ$>
>
>
>