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.

Refer to your user name.

quote:

Originally posted by Meat187 Refer to your user name.

Good catch!!
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Decibels are measured on a logarthmic scale.

83dB is actually the electrical double of 80dB. The more SPL you want, the more energy req'd to drive the transducers to move the increased volume of air.

Ahhh...the free flow of electrons. Makes me happy.

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quote:

Originally posted by Dr. DAS Decibels are measured on a logarthmic scale. 83dB is actually the electrical double of 80dB. The more SPL you want, the more energy req'd to drive the transducers to move the increased volume of air. Ahhh...the free flow of electrons. Makes me happy.

Nice, didn't know that. I'll look into it some more.

If you mount a piston to a wheel and measure the displacement of the piston as the wheel rotates you get a sine wave.

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linear = line
exponential = not line

/thread

My vehicle dynamics teacher showed us a project the kids the year before us did that proves that in order to make a lane change on the highway, your steering input is actually a perfect sine wave (if done perfectly). Also just about everything in your engine that moves is based on a sine function that is based on your crankshaft angle (theta). So your valve timing, piston position, etc. are all done base on equation that contains sin(theta) where theta is the crankshaft angle. I hope explained that clearly enough and didn't totally make myself out to be a nerd.

Last edited by GTS3gEclipse on Apr-30-2008 at 17:45

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Originally posted by Dervish If you mount a piston to a wheel and measure the displacement of the piston as the wheel rotates you get a sine wave.

Yeah... And the obvious one, alternating current.

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Originally posted by tubularbills linear = line exponential = not line /thread

Seriously, you're one of the most useless posters around here. Avoid my threads please... Thanks.
And exponential function is also a line, but not a straight one, dumbass.

quote:

Originally posted by GTS3gEclipse My vehicle dynamics teacher showed us a project the kids the year before us did that proves that in order to make a lane change on the highway, your steering input is actually a perfect sine wave (if done perfectly). Also just about everything in your engine that moves is based on a sine function that is based on your crankshaft angle (theta). So your valve timing, piston position, etc. are all done base on equation that contains sin(theta) where theta is the crankshaft angle. I hope explained that clearly enough and didn't totally make myself out to be a nerd.

Hmm... Wouldn't intercepting a car in front of you make a sine wave?

If you grab a chain by the ends it forms a hyperbolic function (cosh(x)).
Pretty much everything in statistics. I was referring to the Gaußian Bell Curve in my first reply.
Also, check out fractals.

There's much more, but I'm to lazy to write it all down.

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Originally posted by Gauss Hmm... Wouldn't intercepting a car in front of you make a sine wave?

no, that would make you oversteer and make a sine wave thats not symmetrical. try it. when you change a lane you steer your wheel left maybe an inch, then to straighten back out u steer back to the right a inch. if you go around a car you would steer the wheel left and inch and then back to the righy maybe 2 inches to get all the way back over.

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Originally posted by Gauss Yeah... And the obvious one, alternating current. Seriously, you're one of the most useless posters around here. Avoid my threads please... Thanks. And exponential function is also a line, but not a straight one, dumbass.

a line, by definition, is the shortest distance between two points.

an exponential curve is not the shortest distance between two points. therefore, it is not a line. it is a curve.

you're the one who needs help on math, not me genius

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Originally posted by tubularbills a line, by definition, is the shortest distance between two points.

No, that's a straight line. a line is defined by dictionary.com as: Mathematics: a continuous extent of length, straight or curved, without breadth or thickness; the trace of a moving point.

so exponential is still a line, just not a straight line.