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seen Jun 30 '13 at 13:58

"An expert is a person who has made all the mistakes that can be made in a very narrow field." Niels Bohr


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 Relations
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.