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Engagement
  • Author Author: screamingtiger
  • Date Created: 26 Jul 2016 1:38 PM Date Created
  • Views 2139 views
  • Likes 3 likes
  • Comments 29 comments
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Im Back (I think)

screamingtiger
screamingtiger
26 Jul 2016

For the past 5 months I've been taking a break from electronics and revisiting my roots in mathematics.  In particular, Ive been studying differential equations starting from my undergrad level to as much information as I can find.  I know computers can solve many of these DEs, but Ive been learning how to solve each type by hand.

 

I've known DEs for 15 years, but never really went in depth like I wanted.  The numerical methods in particular are of great interest.

 

Interestingly, MIT now puts many classes online.  So any of us can attend MIT as if sitting in the classroom.

 

One thing to note, just watching the videos doesnt do much, you MUST also do the homeworks they provide to prove you know the material.

 

Of course a good test of understanding is to try to interpret the theory of relativity, which is a set of DEs.

 

I still need to do my review for my Pi3.  it didnt work at first but I got it up and running, will know that out next week!

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Top Comments

  • Andrew J
    Andrew J over 2 years ago in reply to dubbie +2
    Here we go Dubbie. Not exactly a differential equation but this is the Standard Model Lagrangian which describes the dynamics of every particle and their interaction. I solved it for W only to find that…
  • jc2048
    jc2048 over 2 years ago in reply to Andrew J +2
    42 was a nod to a radio programme, from years ago, scripted by someone called Adams. I misunderstood your post and thought you were saying 'infinity =' rather than '(the sum to) infinity ='. My fault for…
  • DAB
    DAB over 6 years ago +1
    Hi Joey, I had extensive DE exposure back in school, but I have to be honest, I have rarely used it in my career. But if you enjoy playing with equations, try using DE in Maxwell's Equations. I have been…
  • Fred27
    Fred27 over 2 years ago

    It's odd how this old thread has popped back up to the top. Joey Thompson may have been back, but it seems like he disappeared again years ago.

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  • DAB
    DAB over 2 years ago in reply to jc2048

    It was Douglas Adams who wrote Hitchhikers Guide to the Galaxy.

     

    42 was the answer to the Universe and everything.

     

    DAB

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  • Andrew J
    Andrew J over 2 years ago in reply to jc2048

    Well, yes, that's the Ramanajan Summation.  Or rather Cesàro Summations which don't converge.  But it's still amusing even when you know that there is some mathematical trickery going on.

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  • jc2048
    jc2048 over 2 years ago in reply to Andrew J

    I'm useless at maths, so don't take too much notice of what I say, but I think there might be a serious point there. Addition and subtraction are commutative, so in an infinite series it's valid to rearrange the operators. It shouldn't make any difference to the final sum, yet I've just increased the possibilities from either 0 or 1 to any integer between 0 and 42. Although not very rigorous, isn't that a proof by absurdity that you're doing something wrong [trying to take the limit of a series that doesn't converge]?

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  • Andrew J
    Andrew J over 2 years ago in reply to jc2048

    image  It read like you were being serious and my maths being what it is....

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