Author Topic: Integral programs for Nspire?  (Read 14531 times)

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Offline perennial

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Integral programs for Nspire?
« on: August 01, 2011, 01:36:14 am »
I want to ask why is it no one has ever write a program showing step by step integrals on the Nspire calculators?
So the nspires will never have that type of program even though it can with all the buff up hardware more than adequate. Would be cool if there was such a program. I guess whoever write a program of that magnitude for the Nspires and it works then they automatically win the tournament aren't they?
Also, is Matlab better than Mathematica or they about equal?
So, there's no way to write a program cover from Cal 1&2 for the Nspires?
Then why is it Matlab so much more expensive than Mathematica? It can goes up to more than $32,000!!!!
« Last Edit: August 01, 2011, 02:52:06 am by perennial »

Offline AngelFish

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Re: Integral programs for Nspire
« Reply #1 on: August 01, 2011, 01:39:15 am »
Because symbolic Integration is an incredibly difficult task (if you want to get technical, it's an undecidable problem to integrate an arbitrary function). The step-by-step integration available through packages like Mathematica is the result of a ton of code implementing very advanced algorithms and using a lot of processing power.
« Last Edit: August 01, 2011, 01:39:36 am by Qwerty.55 »
∂²Ψ    -(2m(V(x)-E)Ψ
---  = -------------
∂x²        ℏ²Ψ

Offline AngelFish

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Re: Integral programs for Nspire?
« Reply #2 on: August 01, 2011, 01:47:06 am »
Well, someone *could* write such a program for the nSpire, but it'd only work for certain integrals.
∂²Ψ    -(2m(V(x)-E)Ψ
---  = -------------
∂x²        ℏ²Ψ

Offline AngelFish

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Re: Integral programs for Nspire?
« Reply #3 on: August 01, 2011, 01:49:43 am »
Mathematica is, overall, much better than Matlab. However, you need to get into some pretty nasty problems (Or integer math  <_<) before the difference in abilities and performance becomes noticeable. You'll also pay a pretty nice sum to buy Mathematica.
« Last Edit: August 01, 2011, 01:51:10 am by Qwerty.55 »
∂²Ψ    -(2m(V(x)-E)Ψ
---  = -------------
∂x²        ℏ²Ψ

Offline perennial

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Re: Integral programs for Nspire?
« Reply #4 on: August 01, 2011, 02:14:16 am »
why not tried to treat functions as a derivative and reverse the process in terms of integral. Could that work?

Offline AngelFish

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Re: Integral programs for Nspire?
« Reply #5 on: August 01, 2011, 02:14:37 am »
Nope, that actually makes it harder/impossible in a lot of cases.
« Last Edit: August 01, 2011, 02:15:06 am by Qwerty.55 »
∂²Ψ    -(2m(V(x)-E)Ψ
---  = -------------
∂x²        ℏ²Ψ

Offline DJ Omnimaga

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Re: Integral programs for Nspire?
« Reply #6 on: August 01, 2011, 02:16:18 am »
How come are those softwares so expensive?? O.O
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Offline AngelFish

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Re: Integral programs for Nspire?
« Reply #7 on: August 01, 2011, 02:19:34 am »
Because they take a ton of work to write and the organizations that typically purchase those products don't notice a few thousand dollars a single computer license.
∂²Ψ    -(2m(V(x)-E)Ψ
---  = -------------
∂x²        ℏ²Ψ

Offline perennial

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Re: Integral programs for Nspire?
« Reply #8 on: August 01, 2011, 02:22:18 am »
They basically have a lot of features. Especially the Matlab has a lot of object oriented that are so advanced that you can basically do anything you want with it. You can program anything you want. It contains basically all the  including C, C++, Java, and Fortran(Wiki). You can program for a spectrometer, physics. Anything you want. It is really flexible even its compiler.
The last time I checked out the matlab DVD and tried out. It is a 3.75GB program that I installed took 20 minutes. Very bad on my part not to know how to program. I just followed that tutorial on the Matlab websit and still know nothing. It's pretty nice interface.
If someone were to write integral step by step for transcendental functions only then I think people are satisfied since transcendental functions for integration is harder than the rest.
Also, would you say 10 MB of that program in C language using NDless be enough?
Done.
« Last Edit: August 01, 2011, 12:56:49 pm by perennial »

Offline AngelFish

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Re: Integral programs for Nspire?
« Reply #9 on: August 01, 2011, 02:43:35 am »
Would you mind not double/triple posting within 6 hours of your last post on a thread? If you need to add more, just use the Modify button in the upper right corner of your post.

As for integration of transcendentals, that's still a difficult task (although slightly easier than arbitrary functions).
∂²Ψ    -(2m(V(x)-E)Ψ
---  = -------------
∂x²        ℏ²Ψ

Offline Adriweb

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Re: Integral programs for Nspire?
« Reply #10 on: August 01, 2011, 01:49:05 pm »
WolframAlpha makes step-by-step (you can make it show the steps, but it's not by default) derivatives, integrals, partial fractions etc.

(and it's free of course)
« Last Edit: August 01, 2011, 01:49:38 pm by adriweb »
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Re: Integral programs for Nspire?
« Reply #11 on: August 01, 2011, 01:50:07 pm »
Yeah, Wolfram-Alpha is a partial online version of Mathematica 8.
∂²Ψ    -(2m(V(x)-E)Ψ
---  = -------------
∂x²        ℏ²Ψ

Offline Munchor

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Re: Integral programs for Nspire?
« Reply #12 on: August 01, 2011, 03:01:47 pm »
Because symbolic Integration is an incredibly difficult task (if you want to get technical, it's an undecidable problem to integrate an arbitrary function). The step-by-step integration available through packages like Mathematica is the result of a ton of code implementing very advanced algorithms and using a lot of processing power.

Well, someone *could* write such a program for the nSpire, but it'd only work for certain integrals.

Mathematica is, overall, much better than Matlab. However, you need to get into some pretty nasty problems (Or integer math  <_<) before the difference in abilities and performance becomes noticeable. You'll also pay a pretty nice sum to buy Mathematica.

Is this triple post or did someone delete posts here? O.O

Offline AngelFish

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Re: Integral programs for Nspire?
« Reply #13 on: August 01, 2011, 03:13:40 pm »
Actually he had triple posts in between my apparent triple posts :P

No worries. Editing does that.
∂²Ψ    -(2m(V(x)-E)Ψ
---  = -------------
∂x²        ℏ²Ψ

Offline perennial

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Re: Integral programs for Nspire?
« Reply #14 on: August 01, 2011, 05:25:20 pm »
i didn't delete my post i recombine them like qwerty5.5 wanted. what else do u want?