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Cat Forum / Cat Anecdotes / September 2006[BW] For mathematical cat lovers
If you love math, as well as cats, you might get a grin out of this web comic: http://xkcd.com/c26.html Hugs and Purrs, Mark -- Proof of Sanity Forged Uppon Request > If you love math, as well as cats, you might get a grin out of this > web comic: [quoted text clipped - 3 lines] > Hugs and Purrs, > Mark Since the first class I will be taking as I go back to school (after 24.5 years out of school) is math.... *WAY* over my head. But I *did* like this one: http://xkcd.com/comics/meat_cereals.jpg I'll have a bowl of Frosted Bacon Flakes, please LOL > If you love math, as well as cats, you might get a grin out of this > web comic: > > http://xkcd.com/c26.html LOL! Oh, that is too sick. I love it. Chak  SignatureThis world taught woman nothing skillful and then said her work was valueless. It permitted her no opinions and said she did not know how to think. It forbade her to speak in public, and said the sex had no orators. -Carrie Chapman Catt, 19th century suffragist > If you love math, as well as cats, you might get a grin out of this > web comic: > http://xkcd.com/c26.html As someone with a bachelor's degree in math, I am deeply embarrassed to have to ask: what is a Fourier transform? Either I didn't learn this, or, even worse, I did learn it and have completely forgotten it. Joyce > As someone with a bachelor's degree in math, I am deeply embarrassed to > have to ask: what is a Fourier transform? Either I didn't learn this, or, > even worse, I did learn it and have completely forgotten it. Don't be embarrassed, it is PhD-level stuff. >> As someone with a bachelor's degree in math, I am deeply embarrassed to >> have to ask: what is a Fourier transform? Either I didn't learn this, or, >> even worse, I did learn it and have completely forgotten it. > >Don't be embarrassed, it is PhD-level stuff. Not really - more undergrad engineer or advanced technician stuff - anywhere the terms "waveform", "frequency", and "harmonic" are common. SignatureT.E.D. (tdavis@gearbox.maem.umr.edu) Remove "gearbox.maem" to get real address - that one is dead >As someone with a bachelor's degree in math, I am deeply embarrassed to >have to ask: what is a Fourier transform? Either I didn't learn this, or, >even worse, I did learn it and have completely forgotten it. I wouldn't worry about it. Most people I know who know Fourier transforms didn't learn it in school, but picked it up on the job, because it happened to be necessary for their work. I've known salespeople who could speak intelligently about FT algorithms because they make their living selling PC boards that do Fourier transforms. > As someone with a bachelor's degree in math, I am deeply embarrassed to > have to ask: what is a Fourier transform? Either I didn't learn this, or, > even worse, I did learn it and have completely forgotten it. http://en.wikipedia.org/wiki/Fourier_transform SignatureVictor M. Martinez Owned and operated by the Fantastic Seven (TM) Send your spam here: uce@ftc.gov Email me here: pistorLITTER@BOXaustin.rr.com > > As someone with a bachelor's degree in math, I am deeply embarrassed to > > have to ask: what is a Fourier transform? Either I didn't learn this, or, > > even worse, I did learn it and have completely forgotten it. > http://en.wikipedia.org/wiki/Fourier_transform Thanks, Victor. That will be a lot more informative once I'm fully awake. :) Joyce >> As someone with a bachelor's degree in math, I am deeply embarrassed to >> have to ask: what is a Fourier transform? Either I didn't learn this, or, >> even worse, I did learn it and have completely forgotten it. > > http://en.wikipedia.org/wiki/Fourier_transform OK, Victor. Now I feel stupid. I can't even make sense of the explanation! Thanks loads. :) SignatureSam, closely supervised by Mistletoe > As someone with a bachelor's degree in math, I am deeply embarrassed to > have to ask: what is a Fourier transform? Either I didn't learn this, or, > even worse, I did learn it and have completely forgotten it. Fourier showed that a function could be expressed as sums of sines and cosines. The function of amplitude vs. frequency that results is the fourier transform of the original function. You can do an inverse fourier transform to get back the original function. I don't see why the guy in the cartoon didn't try that. :) They teach engineers about fourier transforms. It shows up in signal processing. Bud > > As someone with a bachelor's degree in math, I am deeply embarrassed to > > have to ask: what is a Fourier transform? Either I didn't learn this, or, > > even worse, I did learn it and have completely forgotten it. > Fourier showed that a function could be expressed as sums of > sines and cosines. The function of amplitude vs. frequency that > results is the fourier transform of the original function. You > can do an inverse fourier transform to get back the original > function. I don't see why the guy in the cartoon didn't try > that. :) LOL. Is there anything lost when you do that, though? Like when you find the derivative of a function, and then perform the integral, you don't exactly get the original back. You get the curve, but it's not clear where to place it. :) (Hey, at least I remember something!) Or like when you scale down an image, and then scale it back up - whoops, the resolution's not so great anymore. (Depends on the scale-down algorithm, of course.) Joyce > LOL. Is there anything lost when you do that, though? Like when you > find the derivative of a function, and then perform the integral, you > don't exactly get the original back. You get the curve, but it's not > clear where to place it. :) (Hey, at least I remember something!) It's been a while since I've done any DSP, so I'm working from foggy memory here, but as long as the data sampling meets the Nyquist sampling criterion then the data that's reconstructed from the Fourier transform will have fairly low error. Not zero error, though. Discrete Fourier Transforms can be done using complex numbers or real numbers. Complex datasets will yield closer approximations. I guess I really ought to break out some of my old textbooks and play with DFT and FFT again. I've forgotten almost everything I used to know about it! Dan >> LOL. Is there anything lost when you do that, though? Like when you >> find the derivative of a function, and then perform the integral, you [quoted text clipped - 14 lines] > >Dan Ugh. Fourier, Laplace and Z Transforms bring back nightmares from Network Synthesis classes at DeVry - Cauer and Chebyshev filters - *shudder* :O Signatureannoyed@net.spammers Craig, Kathi & "Cat Five" the tabby girl > > LOL. Is there anything lost when you do that, though? Like when you > > find the derivative of a function, and then perform the integral, you > > don't exactly get the original back. You get the curve, but it's not > > clear where to place it. :) (Hey, at least I remember something!) > It's been a while since I've done any DSP, so I'm working from foggy > memory here, but as long as the data sampling meets the Nyquist sampling > criterion then the data that's reconstructed from the Fourier transform > will have fairly low error. Not zero error, though. Not zero, eh? Might be a bit tough on a Fourier-transformed kitty, then! :) Joyce > Not zero, eh? Might be a bit tough on a Fourier-transformed kitty, then! :) > > Joyce Yeah - a tortie might come out as a calico :) > Yeah - a tortie might come out as a calico :) LOL!!!!!!!!!!!!!!!!! SignatureVictor M. Martinez Owned and operated by the Fantastic Seven (TM) Send your spam here: uce@ftc.gov Email me here: pistorLITTER@BOXaustin.rr.com > > > As someone with a bachelor's degree in math, I am deeply embarrassed to > > > have to ask: what is a Fourier transform? Either I didn't learn this, or, [quoted text clipped - 15 lines] > whoops, the resolution's not so great anymore. (Depends on the > scale-down algorithm, of course.) You can an infinite series out of the transform, which means in real life you can't do it, but when has that stopped mathematicians? Bud > > LOL. Is there anything lost when you do that, though? Like when you > > find the derivative of a function, and then perform the integral, you > > don't exactly get the original back. You get the curve, but it's not > > clear where to place it. :) (Hey, at least I remember something!) > You can an infinite series out of the transform Sorry, don't mean to be the writing police, but you seemed to have left the verb out of the above sentence. And I think it must be an important part of the sentence, because I'm not sure what the word should be. Is it "create"? > which means in real life you can't do it, but when has that stopped > mathematicians? One of the things I like about math. Joyce |
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