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Originally posted by GTS3gEclipse Actually is another 2nd order differential equation. acceleration is the second derivative of position. so the equation for position is really 0.5y''(t^2)+y'(t)+y where y is position.

Well okay, but I fortunately don't have to go into such details... Yet. So it'll do.

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Originally posted by Meat187 It's not a function in the classical sense, like y = 2x + 3. It's a mathematical transformation, and therefor probably not what you're looking for.

Eh... Correct.

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Originally posted by Gauss I'm doing a project for school and I need examples of various functions applied in real life. For example, growth of human population is exponential and relation between height, size of hands and size of feet is linear. So, I need as many examples as I can get, possibly with some description and elaboration. Thanks.

The compound interest formula tells you how much money you make from an investment if you were to reinvest your profits which is an EXPONENTIAL function....

FV = PV(1+r)^t

Future value = Present value (1 - interest rate decimal)^time

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Last edited by Krypton on May-01-2008 at 02:28

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Originally posted by Gauss Seriously, what's your point? Just leave this thread alone.

lol cause its fun and you get worked up over it

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Originally posted by Krypton The compound interest formula tells you how much money you make from an investment if you were to reinvest your profits which is an EXPONENTIAL function.... FV = PV(1-r)^t Future value = Present value (1 - interest rate decimal)^time

Thanks for input.

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Originally posted by tubularbills lol cause its fun and you get worked up over it

Not really, I don't. It's just that you're wasting space that could've been filled with useful information.
But if you're really that sad that you have to do it out of spite, go ahead and post if it'll sasisfy you.

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Originally posted by Meat187 It's not a function in the classical sense, like y = 2x + 3. It's a mathematical transformation, and therefor probably not what you're looking for.

Also how MP3s work. Sound is fourier then the frequenciesnext to loud ones are quatised more heavily (lower data rate) as you can hear themless. <<< the simple expaination it works on many curves

sorry for spelling "kinda" drunk :P

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If you can read this, I'm seriously fucking bored.

You could talk about e (as in 2.718281718... not E) and give examples of where it appears in nature/life: such as calculating interest, exponential growth of populations, and also lots of math based stuff that you could somehow relate to everyday life

Lorenz attractors are pretty neat. they show how slightly different initial conditions could lead to totally different, chaotic behavior. They aren't really "functions" in the traditional sense (of course you could define them as such) but curves/trajectories in 3D
like this


Another cool thing that came to mind is from differential equations. think of a block attached to a spring. You kick the block for a nanosecond, giving it some momentum, and see how it responds. you could also have a more complicated system, say the spring is immersed in water and there are drag forces from the water. Now suppose you were to shake the system, or pull the spring up and down with some frequency. It turns out that all the info you needed to figure out how the system will respond to shaking is encapsulated in the way it responds to being kicked for a nanosecond.

if you think of how the system responds when being kicked as a function, the function graphed here http://www-math.mit.edu/daimp/AmpRespPoleDiagram.html is the magnitude of the laplace transform of that function. It tells you stuff about how the system will respond when being shaken at various frequencies -- for example, there might be resonance or near resonance, which means your system could break/explode/etc

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Originally posted by Gauss Thanks for input. Not really, I don't. It's just that you're wasting space that could've been filled with useful information. But if you're really that sad that you have to do it out of spite, go ahead and post if it'll sasisfy you.

Yea, slight correction...

It is FV = PV (1 + r)^t

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This whole thread reminds me why I failed A level Maths and Physics!!! Good luck!

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