@nm

In the upcoming versions of the Maplesoft Physics Updates, maybe already tomorrow, only Latex, not Physics:-Latex, will be present. As said, these two commands are the same bit-by-bit. The project started as Physics:-Latex, but now that it is essentially finished, it is time to remove the Physics:- duplication.

Edgardo S. Cheb-Terrab
Physics, Differential Equations and Mathematical Functions, Maplesoft

@nm

In the upcoming versions of the Maplesoft Physics Updates, maybe already tomorrow, only Latex, not Physics:-Latex, will be present. As said, these two commands are the same bit-by-bit. The project started as Physics:-Latex, but now that the it is essentially finished, it is time to remove the Physics:- duplication.

Edgardo S. Cheb-Terrab
Physics, Differential Equations and Mathematical Functions, Maplesoft

@nm 

Latex is a replica of Physics:-Latex with its own variables. So if you use Latex:-Settings, then expect Latex to follow that, and if you use Physics:-Latex:-Settings expect Physics:-Latex to follow that. We know this is Physics:-Latex but I mentioned that Latex is now also a user-level command - I recommend(ed already) for you to forget about the 'Physics:-' prefix and in that way avoid having these confusions, where you set one of them but mistakenly use the other one.

By the way I just uploaded the Updates v.871 with some other changes and one more tweak about this: powersoftrigonometricfunctions can now be textbook, computer or mixed, and default is now mixed. With mixed, only trig (not arctrig) functions have their powers displayed as powers of the function's name (\cos^3(x) instead \cos(x)^3). The keywords textbook and computer continue representing the same as before. Additionally, usetypesettingcurrentsetting=true turns OFF this specialy different typeset of powers of trig functions.

Edgardo S. Cheb-Terrab
Physics, Differential Equations and Mathematical Functions, Maplesoft

@nm 

It is explained in the previous reply, use Latex:-Settings(powersoftrigonometricfunctions = computernotation): 

Regarding the notation cos^(-1) for arccos, I already gave my opinion (see above), but would add that for several people that is good notation. To mention but one, Mathematica, that you frequently refer to, tex-translate ArcCos as \cos^{-1}.

So this is not about "this is bad notation" or "this is good notation" but about giving options to accomodate different preferences. Then there is the default - for which I use to collect opinions, take time to think, and then I decide; my opinion so far is also explained above.

Edgardo S. Cheb-Terrab
Physics, Differential Equations and Mathematical Functions, Maplesoft

@nm, @dharr

That single \rm is now replaced by \mathrm, and the change is distributed for everybody using Maple 2020 within the Maplesoft Physics Updates v.869 and newer. Thanks for pointing out the problem and providing feedback - Best!

Edgardo S. Cheb-Terrab
Physics, Differential Equations and Mathematical Functions, Maplesoft

@lemelinm 
After installing any MapleCloud package, I recommend: entirely close Maple. Then open Maple; and in the case of the Maplesoft Physics Updates only after closing and opening try Physics:-Version();

Independent of that, some people using Windows have problems in installing MapleCloud packages, if that is the case see that Mapleprimes post I mentioned in the previous replay (this window, above).

Edgardo S. Cheb-Terrab
Physics, Differential Equations and Mathematical Functions, Maplesoft

@nm 

In the Maplesoft Physics Updates v.866 and newer, there is a new Latex setting:

With this setting, for trig functions only, things like sin(x)^2 tex-translate as \sin^2 x, and arcsin(x) as \sin^{-1} x. The other value of this new keyword is 'computernotation', in which case everything is as before this change, sin(x)^2 tex-translate as \sin(x)^2 and arcsin(x) as \textrm{arcsin}(x).

No changes to the other variants I mentioned in my previous reply. The question I am still thinking about is the default value, textbook or computer. @max125, I realize you prefer the notation 'computer' but both have advantages and disadvantages - in fact for instance @nm prefers the other notation. This more of a preference, and for me what counts is textbooks, the closer we get to them the better.

Note: any portion of the-long-keyword powersoftrigonometricfunctions works as well, and the right-hand side can also be textbook or computer (without 'notation'), both work.

By the way, to query about all the settings enter Latex:-Settings(), without arguments. To query about one, enter that argument, and to set it enter an equation, for example as in Latex:-Settings(pow = computer);

Edgardo S. Cheb-Terrab
Physics, Differential Equations and Mathematical Functions, Maplesoft

@lemelinm 

Input Physics:-Version(); and you will see the version in use. By the way, if you are using Windows and are having problems to install MapleCloud packages, see this other Mapleprimes post.

Edgardo S. Cheb-Terrab
Physics, Differential Equations and Mathematical Functions, Maplesoft

@nm 

Within the Maplesoft Physics Updates, v.861, you have:

Edgardo S. Cheb-Terrab
Physics, Differential Equations and Mathematical Functions, Maplesoft

@nm 

About the ODE case, since Latex (not latex) works based on Typesetting, I just noticed the following is already working as expected:

So I suppose this does what you want for the ODE case? The use of Suppress is necessary for this to work - is that an issue?

About the PDE case, the notation you show from Haberman's book is not really good for me; for one, in - say - D[1](u)(0,a) the information on the dependency of u is not present so you cannot translate that to du/dx(0,a). My idea was to use u[1](0, a) (Jet notation = jetnumbers, see ?PDEtools,ToJet).

This requires further thoughts since, e.g., the notation D[1,1](u)(x,t) actually means the second derivative with respect to x and D[1,2](u)(x,t) means the mixed derivative, w.r.t x and t, and this notation can be seen as non-standard. Still, u[1,1](0, a) (where [1,1] is displayed as a subscript) is for me more clear than D[1,1](u)(0,a).

Alternatively, this other jet notation = jetvariables is good for me but, again, requires information on the dependency of u(x,t):

Finally, a comment on your "not commas": you know, when using computer algebra, your variables could be xt, t, then if you remove the comma separating each derivative you receive thingsl like xtt, which are ambiguous. even x0t doesn't look clear, while x0, t does. So no, we cannot ommit the commas, at least not by default. Maybe as a user requested Latex:-Setting ...

Edgardo S. Cheb-Terrab
Physics, Differential Equations and Mathematical Functions, Maplesoft

@nm 

I answered that in the original thread.

Edgardo S. Cheb-Terrab
Physics, Differential Equations and Mathematical Functions, Maplesoft

@arcade 

You say:

"I expected that the function particularsol gives me the particular solution, but there is the cosine term, which belongs to solution of the corresponding homogeneous ODE." 

The particular solution solves the inhomogeneous ODE, not the homogeneous part. The output of particularsol is correct. There is nothing in the definition of particular solution that says that it "cannot include terms that, isolated, may also solve the homogeneous ODE."

In the help page of this command it is explained what it does. For your example, the code that solves the problem is LinearOperators[dAlembertianSolver]) - you may want to take a look at the corresponding help page too. You can see what code solves the problem by entering > infolevel[dsolve] := 3.

Edgardo S. Cheb-Terrab
Physics, Differential Equations and Mathematical Functions, Maplesoft

@nm 
Thanks! And sorry; in the midst of other things, one file escaped the update; this is a new option - tests were created only afterwards. It is resolved within the Maplesoft Physics Updates v.843 and newer.

Edgardo S. Cheb-Terrab
Physics, Differential Equations and Mathematical Functions, Maplesoft.

@nm 

Latex is a replica of Physics:-Latex, with its own variables. It is a full replica. So either you use Physics:- prefixing everything or do not use this prefix anywhere. For example, Physics:-Latex:-Forget will clear the caches of Physics:-Latex, not Latex. At the same time, Latex:-Forget clears the caches of Latex, not of Physics:-Latex. Likewise, Latex:-UseTypesettingCurrentSettings is taken into account by Latex, not Physics:-Latex. Etc.

And yes, I am interested in feedback if something of this user-level Latex replica is not working. This Latex project started as a Physics project, but the result is relevant beyond Physics; the idea is to replace the old latex command with this new Latex.

Edgardo S. Cheb-Terrab
Physics, Differential Equations and Mathematical Functions, Maplesoft

@nm 

All Latex subroutines work cached. So in a situation like the one you are suggesting, where you change the settings on the fly, you need to clear the caches.

I adjusted the previous reply / foo procedure to include that call to Physics:-Latex:-Forget. You get this:

Note also that, in foo, I added return (to avoid noise in addition to the Latex translation, and removed your call to print that only added some white space after the returned result.

Edgardo S. Cheb-Terrab
Physics, Differential Equations and Mathematical Functions, Maplesoft