Relevant developments in Physics happened during the last month and a 1/2, some of them of interest beyond the use of this package. Among the most exciting things I can mention:
- The redefinition of the derivative rule for the complex components (abs, argument, conjugate, Im, Re, signum) together with the introduction of Wirtinger calculus, as an user-option to work with complex variables. In other words: it is now possible to compute taking z and its conjugate as independent variables and in equal footing.
- Introduction of textbook mathematical display for all the inert functions of the mathematical language, also for unknown functions f(x).
- New options in Physics:-Setup to indicate that some mathematical objects are real (different from assume(x, real), while integrated with `is` and `coulditbe`).
- A rather large number of micro developments advancing the integration of Physics with simplify, expand and combine.
- Another large number of micro developments for quantum mechanics.
- New options in Physics:-Setup to redefine sum as Physics:-Library:-Add, and with that have access to multiindex summation directly from sum, for instance as in sum(f(i, j), i + j <= n), including related typesetting copy & paste.
As usual the latest version of the package is available for download in the Maplesoft Physics: Research & Development webpage and in the zip there is a worksheet illustrating all these developments. Below I'm copying the section related to the new redefinesum option of Physics:-Setup and multiindex summation.
Thanks to everyone who provided feedback, it has been of great value and at the root of this new round of developments.
Edgardo S. Cheb-Terrab