@[email protected] to Ask [email protected] • 2 months agoWhat is your favorite math constant that is NOT a real number?message-square43fedilinkarrow-up161
arrow-up161message-squareWhat is your favorite math constant that is NOT a real number?@[email protected] to Ask [email protected] • 2 months agomessage-square43fedilink
minus-square@[email protected]linkfedilinkEnglish5•2 months agoZero is a real number, but interestingly, it’s also a pure imaginary number. It’s the only number that’s both things at once.
minus-square@[email protected]OPlinkfedilink2•2 months agoIt 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…
minus-square@[email protected]linkfedilinkEnglish1•2 months agoThere are other idempotent numbers in the split-complex and q-adic (for non-prime q) numbers.
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.
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…
There are other idempotent numbers in the split-complex and q-adic (for non-prime q) numbers.
As I said … lots of edge cases :)