Tim Vermeulen
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 Dec 15 comment Combinatorics in a Party. Exactly. I agree with @drhab and I think OP misunderstood the question. Nov 19 comment Differentiability of a function on $\mathbb R$ such that $f(x+1)=f(x)$. I bet you meant "Finally, (c) is clearly false."? Nov 5 comment Inequality proof by induction, what to do next in the step It's not extremely easy to see that $$2\left(\sqrt{n+2}-\sqrt{n+1}\right) = \frac{2}{\sqrt{n+2}+\sqrt{n+1}},$$ though. Oct 19 comment Let $T : V \rightarrow V$ be a linear operator. If $T^n = O_V$ for some $n \ge 1$, prove that $I_V + T$ is an isomorphism. Hint: use \left( and \right) for larger brackets when using exponents. Sep 22 comment How do I simplify $p^8-Q^8$? Though this is probably what's intended, I'm not sure if factoring symplifies it. Aug 27 comment Extending primes Right, but then $73939133$ obviously is not the biggest prime you'll yield. Aug 27 comment Extending primes I guess the prime you start with can only have one digit? Aug 19 comment Proving there are no integer solutions for $3x^2=9+y^3$ Thanks. I would never write a proof like my second one here on an actual contest or exam, but I've seen proofs to other problems that don't go into much detail at all (which I tried to mimic with my second proof). Aug 15 comment How many ways can $2m$ be represented as the sum of 4 natural numbers $\le m$? Is this homework? Then please add the homework tag. Also, could you quote the original problem word for word? The question as it is now is a bit vague. Aug 15 comment team needs 14 runs to win @mathslover Generatingfuctionology is pretty good. Aug 14 comment the partial derivative of $f(x,y)=\ln(x+\sqrt{x^2+y^2}), f_x (3,4)$ That's weird, I use it the most. :-------------) Aug 14 comment the partial derivative of $f(x,y)=\ln(x+\sqrt{x^2+y^2}), f_x (3,4)$ :-------------) Aug 14 comment the partial derivative of $f(x,y)=\ln(x+\sqrt{x^2+y^2}), f_x (3,4)$ Your first hint is Hint 0 :) Aug 11 comment the partial derivative of $f(x,y)=\ln(x+\sqrt{x^2+y^2}), f_x (3,4)$ A computer scientist, eh? Jul 20 comment Is there a formal definition of “Greater Than” Shouldn't you add that $c$ is nonnegative? Because for all $a,b$ there exists a $c$ such that $b = a + c$, not only when $a \leq b$. Jul 10 comment Prove that $a^3+b^3+c^3 \geq a^2b+b^2c+c^2a$ @upaudel If I reduce the original problem to something that I can prove, and I show that both problems are equivalent, then by proving the easier problem, then I also proved the original. Jul 7 comment Prove that $a^3+b^3+c^3 \geq a^2b+b^2c+c^2a$ @user60887 I'm not doing that, I'm trying to reduce it to something that I can prove. Jun 26 comment Finding the ratio of two sides of a triangle with known angles I got it, and edited your answer. Jun 26 comment Finding the ratio of two sides of a triangle with known angles Thanks, could you add why this result is equivalent to mine? Jun 22 comment How to solve infinite square root of 1+ itself or: $\varphi=\sqrt{1+\varphi}$ @Leo Factoring it like that does not really work here, but you are right about bringing it all to the left hand side. Do you know the quadratic formula?