There are other idempotent numbers in the split-complex and q-adic (for non-prime q) numbers.
november
There are, in fact, stupid questions.
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.
Complex numbers 🤝 Split-complex numbers 🤝 Dual numbers
All super rad.
That sounds like a philosophical position, not a mathematical one.
Get back to me after you have a few dozen conversations with people who openly say "Well I asked ChatGPT and it said..." without providing any actual input of their own.
Speak for yourself.
I want people to figure out how to think for themselves and create for themselves without leaning on a glorified Markov chain. That's what I want.
Those exist in the split-complex number system which adds the number j, where j^2=1 (but j does not equal 1 or -1). The modulus of j is -1.
Or 0! equals 1.
x factorial is the number of ways you can arrange x different things. There's only one way to arrange zero things.
Lies are still better than ChatGPT. ChatGPT isn't even capable of lying. It doesn't know anything. It outputs statistically probable text.