If I have function from R3 to R satisfying
f(x1,x2,x3)+f(y1,y2,y3)=f(x1+y1,x1+y2,x3+y3)
is it necessarily linear?
f(z1,z2,z3)=λ1z1+λ2z2+λ3z3
Wasn't sure if this was a direct consequence of Cauchy's theorem or not.
I have injection f:A→B and I want to get bijection. Can I just resting codomain to f(A)? I know that every function i...
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