CAS: simplify terms seperately?

[Anders]

(09-09-2018 05:18 PM)wsprague Wrote:  

(09-09-2018 03:17 PM)Anders Wrote:  it would be immensely useful for Engineering students (Electrical, Computer, etc), if we have some sort of normalized simplification function like the one you described that almost does it, available as a soft button. (that you could enable through a setting.

I agree. I think there is probably enough consensus on what is a standard form for engineering to be a soft button.

(As an aside, I wonder if standard forms could be described by a pattern language and generalized? Just speculating...)

Pattern in my view, but Parisse disagreed last time I brought up this topic.
However, the difference this time is that we are NOT asking for the Simplify button to change behavior, but to have a new Normalization function (or button) to normalize an expression of transforms (time or frequency as a variable) so maybe we have better luck this time.

All Engineering text books at junior, senior and grad school level use the same normalized expression pattern more or less in EE, Systems theory, advanced differential equations classes etc.
Same apply to Transform theory and engineering oriented Complex Analysis classes and textbooks (if I remember correctly).

The 3 most important transforms used are:
- Fourier (used at introductory level)
- Laplace (more advanced and once you move from Fourier to Laplace) you rarely use Fourier anymore)
and the discreet versions of the same
- Z (advanced) transforms (immensely useful in computer engineering)

(it would be helpful if we also could include Mellin transforms because of it's scale invariance properties and it's application in comp sci.)

What Prime produce is usually not in the normalized form you want to make it useful and makes it hard to interpret the result (you basically have to do the normalization yourself to make sense out of what you got, i.e. 1st, 2nd 3rd..... order derivative form: f(n)(t) <-> s^n F(s) - sum s^(n-k) f^(k-1)(0+) )...