I have a strong relationship to what you get when you divide by zero.
Good ol’ NaN
I like writing swear words into the mantissa of NaN numbers
You only get NaN for division by zero if you divide 0 by 0 in IEEE floating point. For X/0 with X ≠ 0, you get sign(X)•Inf.
And for real numbers, X/0 has to be left undefined (for all real X) or else the remaining field axioms would allow you to derive yourself into contradictions. (And this extends to complex numbers too.)
Negative zero, comes up in comp sci.
I’m a big fan of 10-adics, especially this one.
j is cool too, as is (1+j)/2.
ε, the base of the dual numbers.
It’s a nonzero hypercomplex number that squares to zero, enabling automatic differentiation.
Came here to say this, but since it’s already here, I’ll throw in a bonus mind-melting fact: ε itself has no square root in the dual numbers.
Complex numbers 🤝 Split-complex numbers 🤝 Dual numbers
All super rad.
So complex or quaternion I imagine? ‘i’ it is!
∞
Which one?
j or ĵ just a base vector
Elevendy
i=sqrt(-1) is nice, but im hoping someone finds a use for the number x where |x| = -1 or some nonsense like that because it looks fun to mess with
I always like seeing π.
Pi is a real number, though. It’s irrational, but real.
Pi written out is a real number, yes, I’m referring to the symbol representing Pi. Does that not count?
Nnnnno.
Zero
It’s the absence of a number and has all manner of interesting edge cases associated with it.
Zero is the absence of a quantity, but it is still a number.
Zero is a real number, but interestingly, it’s also a pure imaginary number. It’s the only number that’s both things at once.
As I said … lots of edge cases :)
It gets deeper. It’s also the same as the 0-k-vector, the 0-k-blade, the 0-multivector, the only number that is its own square besides 1, etc…
