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Author Topic: Symbolic Expressions  (Read 3731 times)

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Offline Freyaday

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Symbolic Expressions
« on: March 31, 2011, 05:19:24 pm »
I have a series of Basic programs that I made on my calc that allow me to (sort of) deal with symbolic expressions. Here's what I have so far:
Polynomial mult/divide
Fraction rationalization
Prettyprint auto-simplified quadratic solver
Root simplifier (sqrt(20) becomes 2sqrt(5), but it works for any root)
A prog that finds all rational roots of a number (and their powers)
And a bunch more (I think)
Anything else I should make?
« Last Edit: March 31, 2011, 08:45:13 pm by squidgetx »
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Quote from: JustCause on March 29, 2011, 11:44:58 pm
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Offline ZippyDee

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Re: Sybolic Expressions
« Reply #1 on: March 31, 2011, 05:31:48 pm »
Complex polynomial roots ftw! :D
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Offline Runer112

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Re: Sybolic Expressions
« Reply #2 on: March 31, 2011, 05:32:47 pm »
Indefinite derivation/integration. ;D
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Offline Freyaday

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Re: Sybolic Expressions
« Reply #3 on: March 31, 2011, 05:53:46 pm »
Problem with ndegree poly solvers is that above quartics, not all of them are solvable. I can't even find the equations to solve a quartic. In a similar vein, if I remember correcly, indefinite integrals only work for specific kinds of functions, and the math changes with each kind.
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Quote from: JustCause on March 29, 2011, 11:44:58 pm
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Offline phenomist

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Re: Sybolic Expressions
« Reply #4 on: March 31, 2011, 06:34:53 pm »
Yeah, some indefinite integrals for elementary functions output nonelementary functions.

Though for a n-degree solver, perhaps use the Newton method for approximating all the roots, complex and noncomplex? :D (for n>4)
« Last Edit: March 31, 2011, 06:35:16 pm by phenomist »
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Offline Freyaday

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Re: Sybolic Expressions
« Reply #5 on: March 31, 2011, 07:37:55 pm »
Problem is, this has to be able to do complex coefficents, otherwise there's no point. (There's an App for that)
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Quote from: JustCause on March 29, 2011, 11:44:58 pm
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Offline phenomist

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Re: Sybolic Expressions
« Reply #6 on: March 31, 2011, 07:57:02 pm »
I would imagine that the process is similar, because the derivative of a polynomial is easy to compute, regardless of the coefficients.
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Offline jnesselr

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Re: Sybolic Expressions
« Reply #7 on: March 31, 2011, 07:59:42 pm »
Quote from: Runer112 on March 31, 2011, 05:32:47 pm
Indefinite derivation/integration. ;D
I would love that!  Actually, you could do that.  I might write if for KOS if we ever get a dev version, and it allows stuff to be added in like that.
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