Hello. It seems quite a few people I know who like chess are also interested in maths. I thought it might be interesting for people to share a piece of maths (e.g. an equation, formula, derivation etc.) they really like. It could even be a memorable experience you have had with maths, like a time you first understood some new theory or how maths has helped you. It can come from any field; pure, mechanics, statistics etc.
I'll start it off with the relationship:
e^(jπ) = -1
I think this is quite 'beautiful' as it combines two transcendental numbers, a complex number and one of the most simple and common numbers: one!
I really like pi
3.141592535897932384
I thought it was really cool that if k is a field, and A is a finitely generated k-algebra, and X is a projective scheme over A. Then a coherent O_x-module has a finitely generated module of global sections
i request all math symbols in this thread to be defined. Unless you do i will spam it with math jokes.
The expression for the volume of a thick crust pizza with height "a" and radius "z" is
π·(radius)2·(height)
or
pi·z·z·a
#2 I really like pi too! (though you missed a 6 before the 535)
#4 I guess I'm cool with some maths jokes too ;)
pi and j were having an argument...
pi: "get real"
j: "stop being so irrational"
I prefer i from pure math over j from electrical engineering. Also if you write the formula like this:
e^{i\pi}+1=0 %LaTeX notation
You have the three constants, the multiplicative and additive identities and the fundamental opperations *, ^, + in one short equation.
That's a fair point #7, and you introduce the 0 which is quite nice. Zero can be a very interesting number all on its own.
Yeah, sorry about the j. It's used in mechanical engineering too, I've just got into the habit of using that now myself, but I'm ok with i.
The pizza volume (pi*z*z*a) is really nice, thanks