laplace transforms

[flyfisher]

http://mathworld.wolfram.com/FourierTransform.html

A fourier transform would be a hard way to get an answer to a question which is actually asked occasionally... In this context, it would be something like looking at the number of days in which the hiker hiked a certain number of miles.

One time domain view of a hike would be to look at each day's mileage a la trail journals. One frequency domain analysis would be to to tablulate how many days were 0 mile days, how many were 1 mile days, how many were 2 mile days....

However I really had to grin when I saw the topic!

It took me 6 months of my Electrical Engineering master's to conceptulise what a Fourier Transform was. Once the idea stuck, it became a reasonably handy tool for thinking.

[trip]

There's no doubt about it: LaPlace was an arrogant arrogant guy. A giant equation for modeling the entire Universe? He said it, not me. Crazy Leibnizian philosophy: calculemus! No need for that kind of stuff on the trail (and with quantum mechanics in high gear, it couldn't be done anyway). It's more fun to analyze the hike after the fact, anyway.

[trip]

Sorry to post twice here; I'll try hard not to do it again. Anyway, as long as we have guys doing Fourier Transforms, why don't we do FFTs and derive pi to many places after the decimal? I mean, imagine the untapped computing power of those brains of the (non-altered-state) thru-hikers!

[atraildreamer]

The Laplace transform transforms a real-valued function into a function of a complex variable.

In engineering Laplace transforms allow you to take differential equation in the time domain and transform it into an algebraic equation in the Laplace domain. All of this is of course subject to certian conditions. The function must be linear (exhibits superposition and homogeneity).

In my field this is often done to make solving the equation much easier. Also plotting the results in the laplace domain often makes it much easier to analyze dynamic systems (vibration and control theory).

David Krumholtz and "NUMB3RS" are looking for you!

[adh24]

Laplace Transform Yikes. I thought I left that behind in Sophomore year of college in my systems 1 & 2 class. I think I'm going to be sick

[Dances with Mice]

Laplace Transform Yikes. I thought I left that behind in Sophomore year of college in my systems 1 & 2 class. I think I'm going to be sick

The philosopher Geo. Carlin once considered offering a continuing education course in what you remember from college 20 years after graduating. It would necessarily be a short course.

All I remember are Lip****z constants. Can't remember a single thing about them, but I do remember that name. Funny how the auto-censor picked that up, isn't it?

But I'll confess that I use Fourier Transforms every day.

I also have a prepared lecture which clearly demonstrate the wave / particle nature of the electromagnetic spectrum and in particular the operating principles of infrared and ultraviolet analytical detectors using juggling. You get the dough, I'll do the show.

[hacksaw]

So, How has "The Place" changed. I kinda' liked it like it was.

Hacksaw

[betic4lyf]

uggh

just finnished my calc class in high school, and i thought i was a calc king. all those formulas, and even more ugly symbols, like the delta over the equals sine. gross.

hey guess what?

e^(i(pi))-1=0

the proof involves taylor series and pain

[baerbelleksa]

for some reason as i keep seeing this thread title, i keep thinking it says 'lapdance.'

[K0OPG]

My head freaking hurts just from reading this. I first thought someone was referring top "The Place". I was sadly mistaken.

I think I'll go read about crotch rot instead.

[Gray Blazer]

for some reason as i keep seeing this thread title, i keep thinking it says 'lapdance.'

Great minds think alike. Obviously these guys are too smart for me. See you at the club!

[neo]

for some reason as i keep seeing this thread title, i keep thinking it says 'lapdance.'

is this a lapdance neo

[Gray Blazer]

http://www.sosmath.com/diffeq/laplace/basic/img2.gif




is this a lapdance neo

Doesn't work the same for me. BTW, Neo, good threads lately and I'm not talking about your clothes.