[Wolves] OT: Maths problem
Jon Masters
jonathan at jonmasters.org
Fri Nov 26 16:22:48 GMT 2004
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sparkes wrote:
 sparkes wrote:

> I have a problem that is driving me mad. Perhaps I should have paid
> more attention in school ;)
 answering my own question for the benefit of google
You'd also find reading up on polar coordinates of use. For example:
Mathematical Techniques by Jordan and Smith (ISBN: 0199249725).
This book is useful.
It's taught me a lot that I never got around to or bothered to learn
before  I've not read nearly half of it yet but I plan to as I want to
learn how various bits tie together. For example, many people know what
a Fourier Transform is but don't have the first clue how it works.
 x = length*cos( θ )
 y = length*sin( θ )
In terms of polar coordinates, x and y are the cartesian representation
and r (length) and θ (angle) describe the polar view. You can even then
treat these as real and imaginary componants and convert in to an
exponential if you want!
 bloody simple when you know how, although I am not sure I know how ;)
I spent a long time recently trying to understand simple things like
harmonic functions and damping. I still haven't gone through all of the
fine points of damped harmonics but I do have enough of an understanding
to realise what some kit at work is trying to do. The company make NMR
spectrometers which receive a sinusoid signal in response to a stimulus
and convert it out in to two components similar to how you describe
above but using something called quadrature detection. It's enough
really to rekindle a lost interest in maths :)
Jon.
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