Favorite Mathematical Equation

For the discussion of math. Duh.

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Xanthir
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Re: Favorite Mathematical Equation

I think at this point mine is just iⁱ≈⅕

It's so surprising! Raise i to anything real, get a complex number with magnitude 1. Raise anything real to i, get a complex number with magnitude 1. Raise i to itself, you just get about a fifth.
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Eebster the Great
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Re: Favorite Mathematical Equation

doogly wrote:
Carmeister wrote:I don't think that's an equation.

It's equal to something, just left as an exercise to the reader. Which is everyone's favorite, really.

WolframAlpha gives a solution in the form of the upper incomplete gamma function, which seems a bit like cheating.

cyanyoshi
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Re: Favorite Mathematical Equation

Lately, I'm a fan of any sufficient condition for strong duality, in particular Slater's condition.

Yakk
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Re: Favorite Mathematical Equation

Xanthir wrote:I think at this point mine is just iⁱ≈⅕

It's so surprising! Raise i to anything real, get a complex number with magnitude 1. Raise anything real to i, get a complex number with magnitude 1. Raise i to itself, you just get about a fifth.
I take your 1/5 and raise you iⁱ≈1/sqrt(20+pi), to a frankly ridiculous number of decimal places.
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Last edited by JHVH on Fri Oct 23, 4004 BCE 6:17 pm, edited 6 times in total.

Qaanol
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Re: Favorite Mathematical Equation

Yakk wrote:I take your 1/5 and raise you iⁱ≈1/sqrt(20+pi), to a frankly ridiculous number of decimal places.

Today I learned that 5 is a frankly ridiculous number. This comports well with our existing knowledge that infinity and 5 are effectively indistinguishable.
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Re: Favorite Mathematical Equation

n + 1 = n U {n}
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Eebster the Great
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Re: Favorite Mathematical Equation

Therefore the solution set to the polynomial equation x2 - x = 0 is x ∈ {0,1} = 2.

x∈2. It just sounds wrong.

Flumble
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Re: Favorite Mathematical Equation

But x≠{} and x≠{{}}.

What was I smoking yesterday? Of course it is, but it's still, just, wrong.