zaarcis
Reputation
474
8/100 score
 Mar 25 comment For a polynomial $f\in\mathbb Z[X]$ there exists some natural number $m>2016$ such that $|f(m)|$ is not a prime number. OP asked for hint. It's good enough to deduce some variation of your answer. Mar 23 answered For a polynomial $f\in\mathbb Z[X]$ there exists some natural number $m>2016$ such that $|f(m)|$ is not a prime number. Mar 20 answered Finding the limit as $n \to \infty$ of $n\ln\left(1+\frac{\ x}{n^2}\right)$ Mar 18 revised How many real roots does the equation $e^x-x^2=0$ have? Fixed defect in the answer. Mar 18 comment How many real roots does the equation $e^x-x^2=0$ have? Thanks for catching a mistake. :) Mar 17 answered How many real roots does the equation $e^x-x^2=0$ have? Mar 16 revised Determine if $\sum_{n=2}^\infty(\sqrt{n^2+4}-\sqrt{n^2-4})$ is convergent deleted 4 characters in body Mar 16 comment Determine if $\sum_{n=2}^\infty(\sqrt{n^2+4}-\sqrt{n^2-4})$ is convergent You're completely right. My apologies about the mistake. I fixed it. Mar 16 revised Determine if $\sum_{n=2}^\infty(\sqrt{n^2+4}-\sqrt{n^2-4})$ is convergent edited body Mar 16 answered Determine if $\sum_{n=2}^\infty(\sqrt{n^2+4}-\sqrt{n^2-4})$ is convergent Mar 15 comment Which FOL consequence relation is better (to teach)? Probably you're right. On the other side, I will still have to study about Mendelson's variation next year - with the teacher who, if I can believe him, didn't know about the other possibility (other kind of GEN rule, at least). Mar 14 accepted 'Canonical' form of permutations, product of transpositions Mar 14 comment 'Canonical' form of permutations, product of transpositions This method (as I got told - also used in permutation parity theorem proof) is natural and possibly the only reasonable one. Thanks for your answer. Mar 14 comment 'Canonical' form of permutations, product of transpositions Yes. Thank you! Mar 14 comment 'Canonical' form of permutations, product of transpositions For example, $(1 3)(1 2)$ results in $(1 2)(2 3)(3 3)$. (Last transposition will always be like $(3 3)$ and therefore can always be skipped, actually.) Mar 14 comment 'Canonical' form of permutations, product of transpositions I have bad wording in question, probably. In my question I have (or tried to say that I have): 1) list of multiplied elementary transpositions; 2) a form into what I want to simplify this product - using only operations with transpositions. (Calculating the given permutation and from that needed result is easy but that's not what I'm searching for.) Mar 14 awarded Curious Mar 13 comment Which FOL consequence relation is better (to teach)? Nice to see that I'm not the only one with such opinion. If I need I can work with Mendelson's variation - it has different inference rules, that's all. Using them formally won't be difficult (just add those implicit quantifiers in your mind) and I understand them, but they're unnatural. I will have to do this during next year studies and I dislike this fact a bit. :( Mar 13 revised Which FOL consequence relation is better (to teach)? Minor edit (removed 'also' from list of points). Mar 13 asked Which FOL consequence relation is better (to teach)?