Josué
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 Apr24 comment Continuity Rewritten: $\forall\delta>0,\exists\varepsilon>0\dots$ @BarryCipra, my diction was off: I meant to express "subtle," not "succinct." Thank you. Apr24 comment Continuity Rewritten: $\forall\delta>0,\exists\varepsilon>0\dots$ An implication is indeed not always equivalent to its converse. For this particular case, however, it was not readily obvious to me. Apr9 comment Converge the sequence $\left(\left(1+\frac{1}{n}\right) \left(1+\frac{2}{n}\right)\cdots\left(1+\frac{n}{n}\right)\right)^{1/n}$ It looks like you applied the natural logarithm (and its rules) to the above expression to end up with a Riemann sum. Is this correct? Feb19 comment Precise definition of limit @Valentino: oh, man, I have that book, and it is not that straightforward. :-O Feb19 comment Probability and dice rolls +1 I programmed a simulation that corroborates this. Feb19 comment Intervals of Convex and Concave function You correctly found the point where the second derivative of the function changes its sign. Now, what you call each half is irrelevant, really. However, if rain falls from above, then $x>\ln1/2$ will collect water because it is concave. Dec10 comment @Bak1139, are you familiar with clicking users' profiles to deduce whether they know how the system works? Nov28 comment Bipartite Graph and Non-connected node? Do you know what it means for a graph to be bipartite? Nov28 comment Naturality of $n$-truncation Please fix the title of your question. Nov27 comment Derivation of Simple Projectile Motion with Drag I see. So I have to treat the components individually. Nov21 comment Prisoners Problem To execute a finite number of prisoners, a strategy must be construed in such a way that after the execution of prisoner $m$, all successive prisoners guess the color of their hats correctly. Aug19 comment If the integral $\int_0^\infty xf(x)\,dx$ converges, so does $\sum_{n=1}^{\infty}\int_0^{\infty}f(x+n)\, dx$ What have you tried? Please show your work. Aug12 comment Proof Involving a Problem from “Good Will Hunting” And it took a fields medalist two years to solve... Apr30 comment Riemann Hypothesis Proof - legit? What's inconceivable is the amount of time the author wasted, whether consciously or not. Dec2 comment How to prove that $P \neq NP$ "... then you will have effectively proved that there exists at least one $P$ such that $P=NP$..." Nov27 comment Pigeonhole Principle Homework Problem Bah! Both of you get an up-vote. Nov26 comment Area between the graph of each function and the x-axis You divided $(1)$ in four parts, but notice how some of the integrals yield negative values. Oct29 comment Trigonometry: Isosceles Triangle I see. Thank you for the link! Oct28 comment The question about the word of “Mathematics”. @JohnAdamski, I totally agree. Thank you for pointing that out. Oct28 comment The question about the word of “Mathematics”. No English word other than "mathematics" is an anagram of "mathematics."