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Offline ruler501

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Equation generating
« on: March 03, 2011, 11:31:19 pm »
I want to create an equation that works kindof like the sin/cos function but has irregular zeros. It needs to have maximums of 1 and minimums of -1. How would I do this? Thank you for any help.
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Offline AngelFish

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Re: Equation generating
« Reply #1 on: March 03, 2011, 11:34:17 pm »
Sin(x2) or Cos(x2) should work. If you need something less predictable, may I recommend 2Rand-1?
« Last Edit: March 03, 2011, 11:35:41 pm by Qwerty.55 »
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∂²Ψ    -(2m(V(x)-E)Ψ
---  = -------------
∂x²        ℏ²Ψ

Offline ruler501

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Re: Equation generating
« Reply #2 on: March 03, 2011, 11:41:43 pm »
i already have specified values for all zeros. I just need to control how the graph acts in between them
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PS+ PE+ Y+ PGP++ t 5? X R tv-- b+++ DI+ D+ G++ e- h! !r y

Offline AngelFish

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Re: Equation generating
« Reply #3 on: March 03, 2011, 11:48:50 pm »
Oh, that's a very different question from what I was answering. However, I can tell you right off the bat that if you have more than about 5 irregular zeros, you're not going to be able to compute one of the equations very quickly. I'd recommend that you read up on Interpolation and especially Polynomial Interpolation to figure out the equation. It depends on how irregular your data points truly are, but your function will probably have a degree on the order of N-1, where N is the number of data points.
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∂²Ψ    -(2m(V(x)-E)Ψ
---  = -------------
∂x²        ℏ²Ψ

Offline ZippyDee

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Re: Equation generating
« Reply #4 on: March 28, 2011, 06:41:38 am »
If they're really THAT irregular you can always use a data-smoothing algorithm such as a uniform b-spline.
« Last Edit: March 28, 2011, 06:41:53 am by ZippyDee »
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Offline AngelFish

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Re: Equation generating
« Reply #5 on: March 28, 2011, 06:56:31 am »
I think the point is to have a random function, not a smooth one ;)
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∂²Ψ    -(2m(V(x)-E)Ψ
---  = -------------
∂x²        ℏ²Ψ

Offline ZippyDee

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Re: Equation generating
« Reply #6 on: March 28, 2011, 07:09:44 am »
Quote from: ruler501 on March 03, 2011, 11:31:19 pm
I want to create an equation that works kindof like the sin/cos function
[/quote
This made me think of curves. That made me think of b-splines.
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