Function view [Eval], & [Simplify]

[compsystems]

Hello

The expression F5(X)=(F1+F2)(X) algebraically is equivalent to F5(X)=F1(X)+F2(X), but the most used in the math books is F5(X)=(F1+F2)(X), like (F1○F2)(X), instead of F1(F2(X))

I think the function application must have some kind of symbolic calculation library [Symbolic key] to be able to evaluate the expressions symbolically, simply that it needs to add some rules as in the cases that it can not currently evaluate. But more useful is that the whole system could be integrated NUM mode with CAS mode, because there are three ways to solve certain types of mathematical problems, by graphical method [Plot key], tabulation of values ​​[Num key] and analytically mode [CAS] The most valuable is the CAS, because the graphics are deceptive (they disfigure reality) for example F0(X) = 3/(2*X -5) apparently there are intersections, and in the function F1(X) = X^3-1.1*X^2-65.4*X+229.5, the Fundamental Theorem of Algebra tells us that any cubic equation can have at most three real solutions, but the graph shows me two. until you zoom in. Many authors are against the teaching of mathematics by means of graphics, mathematics is symbolic and therefore the CAS is the most important, but the graphing It is a great heuristic resource.

I hope in the future that they can integrate the [NUM/HOME] mode with the Computer Algebra System, as you can see in CAS mode I have to replace the variable X with X_ when I expose the three solution methods in the classroom, it is a problem assign the value from 0 to X, although this could easily be fixed as I propose in the following thread:

Solution to the problem of pre-assigned variables to 0

I await your feedback from the following publication http://www.hpmuseum.org/forum/thread-11663.html

With the integration of [NUM / HOME] mode with [CAS] the power of the HP-prime was great. Maybe one day.

Thank you