The lack of a solution to x = x + 1 is proof God doesn't exist

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Comments

  • edited 2017-11-08 21:03:59
    I would like to tell people to refer to election cycles as X mod 4.  Alternatively, using the terms "on", "off", and "odd".

    Virginia and New Jersey holds their statewide elections on 1 mod 4 years.  Kentucky holds its statewide elections on 3 mod 4 years.  Both of these can also be described as being held on odd years.

    A wide variety of federal, state, and local elections are held on 2 mod 4 years, also known as "off" years.

    And years with presidential elections are held on 0 mod 4 years, commonly referred to as "presidential" years, but why don't we just continue the analogy and use a back-formation to make it consistent and call them "on" years.

    Coincidentially, the summer Olympic Games are also held on 0 mod 4 years, while the winter Olympic Games and the World Cup in soccer are held on 2 mod 4 years.

    If you need extra specificity, just append the term "Gregorian" to these.  e.g. "Virginia holds its statewide elections in Gregorian 1 mod 4 years."

    [/things no one but gmh cares about]
  • vtkvtk
    embrace the confusion
    Ohio's gubernatorial elections are on Gregorian 2 mod 4 years.
  • vtkvtk
    embrace the confusion
    Maybe I should use a constant other than i in my ring, as my ring is a subset of the complex numbers, but my i maps to a value other than i in that field.
  • vtkvtk
    embrace the confusion
    j should probably be the Greek letter phi, so maybe other Greek letters instead of j and k?
  • vtkvtk
    embrace the confusion
    Okay, I think I've decided on upsilon instead of i, phi instead of j, and maybe tau instead of k. (Maybe not because tau is already a constant in complex numbers...)
  • kill living beings
    uh, since when
  • vtkvtk
    embrace the confusion
    Tau = 2pi, no?
  • vtkvtk
    embrace the confusion
    Or is that just a fringe notation from the people who claim 2pi is more elemental than pi?
  • vtk said:

    Tau = 2pi, no?

    I don't know that anyone's ever used that in real math

    of course in real math π isn't a constant either
  • edited 2017-11-08 21:51:40
    kill living beings
    mathematicians tend to not give a shit

    in my experience tau is a variable meaning time under some transformation, e.g. lorentz
  • You see that notation in physics textbooks sometimes where equations can get hella long.
  • vtkvtk
    embrace the confusion
    Alright then, I'll go with Sτ + Rυ + Nφ + M. (Had to copy & paste those letters from Wikipedia). Still need a name for this ring...
  • Touch the cow. Do it now.
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  • ...And even when your hope is gone
    move along, move along, just to make it through
    (2015 self)

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    AAAAAAAAAAAAA'M HIGH ON BELIEVIN'
  • edited 2017-11-09 03:18:29
    Sup bitches, witches, Haters, and trolls.
    I can't be completely sure without tedious manual verification but I think that ring is just Z[ζ] where ζ is a fifth root of unity.  IIRC that ring actually gets use in one description ("cut-and-project") of the possible Penrose tilings
  • Calica said:

    I can't be completely sure without tedious manual verification but I think that ring is just Z[ζ] where ζ is a fifth root of unity.  IIRC that ring actually gets use in one description ("cut-and-project") of the possible Penrose tilings

    Macaulay2 is telling me it's the zero ring. Possibly @vtk made a mistake in one of the identities.
  • See this is the part where my brain checks out.
  • Sup bitches, witches, Haters, and trolls.
    yeah that's possible.  also the best ring defined over Z[ϕ] is the icosians
  • vtkvtk
    embrace the confusion
    Perhaps I should have said I re-invented it. I'm not surprised it's already been studied by someone, but this specific ring really isn't covered in-depth on Wikipedia, and the only math class I ever took that even came close to this stuff I had to drop because the homework was a nightmare.
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