Powers!

Avatar

Mike Schilling

Mike has been a software engineer far longer than he would like to admit. He has strong opinions on baseball, software, science fiction, comedy, contract bridge, and European history, any of which he's willing to share with almost no prompting whatsoever.

Related Post Roulette

12 Responses

  1. Avatar Aaron W says:

    Euler’s formula!! Not something I’d expect to find here necessarilyReport

  2. Avatar Rod says:

    Thanks, Mike!

    While it’s not exactly a Homer doh headslap moment, the end result with the trig functions isn’t terribly surprising to me. Quite the opposite in retrospect, given that we’re playing on the complex plane.

    I could only give it a quick read tonight given family interruptions but I’ll work through it in more detail tomorrow.

    And again, I really appreciate you humoring my curiosity.Report

  3. Avatar Brandon Berg says:

    It’s important to remember that the goal isn’t to mess with people

    I call bullshit.Report

  4. Avatar Road Scholar says:

    If that’s too much to try to see in your mind’s eye (and the best I ever do is to frustratingly get almost there)…

    I’m imagining f(z, t) = e^(z + it) as a parametric describing a circularly polarized photon traveling through an exponentially expanding universe.

    I think…Report

  5. Avatar Kolohe says:

    Your phasors are stunning, Mr. Schilling.Report

  6. Avatar Mad Rocket Scientist says:

    Just a reminder, for those who gave up on Math in high school, all the exclamation marks in this:

    cos(x) = 1 – x2/2! + x4/4! – x6/6! + …
    sin(x) = x – x3/3! + x5/5! – x7/7! + …

    is the factorial, not Mike getting really excited about Math. The factorial works like this:

    4! = 1*2*3*4 = 24
    6! = 1*2*3*4*5*6 = 720Report

  7. Avatar Wyrmnax says:

    I do not know what is worse.

    That i have taken the time to read it all, or that i actually liked the article.

    Damned engeenering years!Report

  8. Avatar Ken S says:

    These series are incredibly powerful. (Pun semi-intended.) In his classic book, Real and Complex Analysis, using nothing but their power series, Walter Rudin derives every imaginable property of the exponential, sine and cosine functions (both the real and complex versions) in three pages of text.Report

Leave a Reply

Your email address will not be published. Required fields are marked *