>>2053>>2048>>2055>>2054I'm 2 years late, but the pic is not gibberish at all. It's asking for the cohomology ring of n-dimensional Real Projective Space (Here it's notated by P^n(R) but as a topological space it's notated by RP^n) with coefficients in Z/2Z which is the field of 2 elements. (Computer scientists here might also recognize Z/2Z as the intergers modulo 2 or the group acquired by the XOR operation on the set {T,F}. The field can be easily obtained from the group.)
I don't even know where to start in explaining everything I just said but just know that it's real math, specifically a part of algebraic topology).
Feel free to throw yourself into a math rabbit hole if you're curious about the arcane language I'm speaking in.
The answer to this pic's question by the way would be that "H*( RP^n ; Z/2Z) is isomorphic to to the quotient ring Z/2Z[x] modulo the ideal generated by x^{n+1}" or more compactly "H*( RP^n ; Z/2Z) ≅ Z/2Z[x]/(x^{n+1})".
Algebraic topology surprisingly has an application in data analysis although it is extremely niche.