Krysten
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 Feb 25 comment Number Theory - Proof of divisibility by $3$ @Andres, thanks that helped a lot Feb 25 comment Number Theory - Proof of divisibility by $3$ Yes i do that if x = y(mod3) then x and y divide 3? Feb 18 comment Injective and Surjective Functions thanks. it makes sense to create a proof that includes all possible cases. Feb 17 comment Injective and Surjective Functions I edited my proof for a. Please confirm that this is valid. Feb 14 comment Evaluate $\int \cos^3 x\;\sin^2 xdx$ good to know. thanks Feb 11 comment Evaluate $\int \cos^3 x\;\sin^2 xdx$ integral cos^3(x) sin^2(x) dx = 1/30 sin^3(x) (3 cos(2 x)+7)+constant Feb 9 comment Equivalence relation $(a,b) R (c,d) \Leftrightarrow a + d = b + c$ How would I refer to the ordered pairs then? Jan 29 comment Equivalence Classes of this Relation on the integers : $a + b^2 \equiv 0\pmod{2}$. I proved it by showing R to be reflexive, symmetric, and transitive. I just don't have much experience with equivalence classes. Jan 28 comment Equivalence Classes of this Relation on the integers : $a + b^2 \equiv 0\pmod{2}$. I concur. I probably should have been more specific and noteed that I had already proven that R was an equivalence relation. Jan 27 comment Equivalence Classes of this Relation on the integers : $a + b^2 \equiv 0\pmod{2}$. But that's not what I asked for Jan 27 comment Equivalence Classes of this Relation on the integers : $a + b^2 \equiv 0\pmod{2}$. thanks. so the equivalence class would be the set of all odd integers.