Nanuq Posted October 9, 2015 Report Share Posted October 9, 2015 I was researching a math problem this morning and came across this cool little animated GIF. This is the best visual explanation I've seen for a Fourier transform and the frequency distribution of the Dirac function. Quote Link to comment Share on other sites More sharing options...
Mike on a bike Posted October 9, 2015 Report Share Posted October 9, 2015 You do this stuff Nanuq , my lord you lost me on GIF........................ Quote Link to comment Share on other sites More sharing options...
ogladio Posted October 9, 2015 Report Share Posted October 9, 2015 Exactly how I've always visualized these. Now just need a gif for Laplace transform. Quote Link to comment Share on other sites More sharing options...
Nanuq Posted October 9, 2015 Author Report Share Posted October 9, 2015 How about this as a starting point for convolutions? Quote Link to comment Share on other sites More sharing options...
Guest ThePhilosopher Posted October 10, 2015 Report Share Posted October 10, 2015 I was researching a math problem this morning and came across this cool little animated GIF. This is the best visual explanation I've seen for a Fourier transform and the frequency distribution of the Dirac function. While I'm not a true math head (one semester away from an MS in Statistics), we used DFT's quite a bit in my Time-Series Analysis course over the summer. Quote Link to comment Share on other sites More sharing options...
Mike on a bike Posted October 10, 2015 Report Share Posted October 10, 2015 Philosopher thought of you when I saw this. By the way guys ThePhilosopher just sent me a bunch of watches as a donation for our next raffle, all hail!! Quote Link to comment Share on other sites More sharing options...
Nanuq Posted October 10, 2015 Author Report Share Posted October 10, 2015 Nice! Did you get into nonlinear functions with your time series analysis? Quote Link to comment Share on other sites More sharing options...
Guest ThePhilosopher Posted October 10, 2015 Report Share Posted October 10, 2015 (edited) We got through building SARIMA models, GARCH errors, and some other techniques. I'll attach the paper and presentation my group worked on throughout the semester (I know TS is quite rudimentary for energy forecasting, but it was a TS course). I'm currently taking Multivariate Analysis and working on consulting project using Response Surface Methodology as applied to a mixture experiment.Group 3 - Forecasting Texas Energy Consumption using Weather Data.pdfGroup3_Presentation3_DBartkowiak.pptx Edited October 10, 2015 by ThePhilosopher Quote Link to comment Share on other sites More sharing options...
Nanuq Posted October 10, 2015 Author Report Share Posted October 10, 2015 Nicely done. I'd like to see the results for the surface method too. I think you and I would have a lot of fun at a GTG, but everyone else would be looking at us like we're from Mars or something. Consider a section view of a toroid. At its center place a circle with its bottom tangent coincident with the toroid's center, having diameter equal to the outer ring diameter of the torus. The area of the circle will overlie part of the torus' cross section, but there's an arc area extending from the toroid center outward to the torus' perimeter, beneath the arc of the circle, which will be uncovered. My question is, can this uncovered area be modeled as the area lying between a hyperbola and its asymptote? If you could "denature" the arced area onto a flat axis, would it result in what I'm hoping for?I've been tossing this around for a couple months and can't convince myself it would represent a hyperbolic arc. Whaddaya think?? Quote Link to comment Share on other sites More sharing options...
Guest ThePhilosopher Posted October 10, 2015 Report Share Posted October 10, 2015 I'm thinking, "I wish I still had Mathematica on my PC". I'll need to give it a go though, I'm a bit dense (just got out of bed) at the moment though and cannot visualize the setup you're imagining. I might be able to code something up in R if I can get the setup correct. Quote Link to comment Share on other sites More sharing options...
tomhorn Posted October 10, 2015 Report Share Posted October 10, 2015 I thought I was a math geek, and then saw Common Core math.I no longer think that. Quote Link to comment Share on other sites More sharing options...
imajedi Posted October 11, 2015 Report Share Posted October 11, 2015 BS in Engineering Physics and minor in Math. I know some stuff. :-) Quote Link to comment Share on other sites More sharing options...
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