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Duality

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    On average, about 149,608,900km from the centre of the sun.
  • Personal Motto
    Omnia dicta fortiora si dicta Latina
  • Interests
    - Engineering (particularly geotechnical),
    - Physics,
    - Mathematics,
    - Formal logic,
    - Philosophy,
    - Adorable things (especially ponies, cats, bunnies, and grey ducks),
    - Collecting/accumulating various aesthetically pleasing oddments,
    - Collecting/accumulating various interesting antique miscellanies,
    - Collecting/accumulating various second-hand dictionaries/thesauri,
    - Collecting/accumulating various nifty and often archaic vocabillularary words,
    - Finding and categorising various forms of genetically mutated daisies,
    - Making things up on the spot (intellectual ad-libbing is my forte),
    - Owl City, Pentatonix, & chipper chiptune music,
    - Reading Sir Terry Pratchett & Brandon Sanderson novels,
    - Reading C.S. Lewis' classic theology books,
    - Reading the surviving observations and deductions of various ancient philosophers and scientists (e.g., Da Vinci, Aristotle, etc.),
    - Lego (great for modelling simple engineering problems),
    - Minecraft,
    - 8-bit games,
    - Irony,
    - Being interesting.

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My Little Pony

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    All three of them
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    The Last Problem
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    Open Up Your Eyes
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  1. ... Is it weird to want to frame mathematical equations and hang them on my walls instead of photos or paintings?

    1. Show previous comments  3 more
    2. Duality

      Duality

      @Widdershins

      You doubt my Poshness? Scandalous!

      *aggressively dons monocle*

      @Stone Cold Steve Tuna

      Absolutely not common core maths. Only the most fabulous of maths for my walls.

      *aggressively undons monocle*

      @Frostgage

      Awww, thanks, Frosty! :twismile:

      The first equation on my list was hands-down the Riemann zeta function for the Euler product of primes:

      image.png.851c8ad6a6837d1064b944a45e36ca3b.png,

      where the left-hand side is the Riemann zeta function, which is itself unrivalled in fabulosity, and the right-hand side is an infinite product over all prime numbers. It's the closest thing we have to finding an actual pattern in the primes to date. :D

      I'm also liking the looks of the closed-form expression of the Fibonacci series,

      image.png.ab02f13d4bcbe1cb3baec6791b4dd40d.png,

      where

      image.png.3dbdb8622a301fa52f8d6807b38151b4.png

      is the golden ratio and

      image.png.9c0be61a4138d2a4bc0b673fe4dcf2ab.png

      is the negative inverse of the golden ratio.

      Other ones on the list are the equation which, if fulfilled, defines a function f as being a harmonic function (Twilight would be proud),

      image.png.e4e718cadc8e4a1458bc30aa2b9e512e.png,

      Euler's formula,

      image.png.5e4918679391dbff44cc01470ac7574e.png

      and various physical equations like the statement of the second law of thermodynamics,

      image.png.289611f4c28aa17d6a9695c320b51660.png,

      the mathematical expression of wave-particle duality (aka the Englert-Greenberger-Yasin duality relationship),

      image.png.bfd273bbeb953f0a24df7ffc005e6db2.png,

      and the principle of least action (which, when coupled with symmetries in underlying physics, is the thing that actually causes all physical conservation laws like conservation of energy, conservation of momentum, and conservation of probability),

      image.png.d08adfba871d59b03283acb64a99bff0.png 

      The list isn't nearly finished yet, though. :mlp_please:

    3. Frostgage

      Frostgage

      Now this is true art <3

    4. Stone Cold Steve Jobs
    5. Show next comments  9 more
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