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CAS: Hyperbolic Functions, assume (Beta)
11-05-2019, 01:42 PM (This post was last modified: 11-05-2019 01:45 PM by Eddie W. Shore.)
Post: #1
CAS: Hyperbolic Functions, assume (Beta)
I am testing integrals. I don't notice any simplification when it comes to hyperbolic functions.

Example:
(e^x - e^-x)/2 doesn't simplify to sinh(x)

Just want to confirm whether CAS on the HP Prime hasn't implement algebraic rewriting commands with hyperbolic functions.

Why doesn't assume work when we want to use "not equals", example a <> 3 (a is not equals to 3)?

Other than this, I have not notice any behavior with Beta software so far.
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11-05-2019, 04:12 PM
Post: #2
RE: CAS: Hyperbolic Functions, assume (Beta)
There is no command to convert to hyperbolic function, because it's not useful in a CAS.

CAS are considering parameters like polynomials, they always assume generic value, that's the reason why assuming something like a!=0 would not do anything. The reason is that otherwise it would lead to combinatorical explosions in complexity.
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11-05-2019, 10:06 PM
Post: #3
RE: CAS: Hyperbolic Functions, assume (Beta)
There are codes especially in electronic and electrical engineering that are needed to expand a trigonometric function in exponential functions and vice versa

At least some functions dedicated to the rewriting of hyperbolic expressions would be very useful for programmers.

LO SUFICIENTEMENTE BUENO ES ENEMIGO DE LA EXCELENCIA.
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11-06-2019, 08:29 PM
Post: #4
RE: CAS: Hyperbolic Functions, assume (Beta)
You can convert yourself like this:
subst(exp(x)+exp(-x),exp,cosh+sinh)
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