Josué
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 Oct 31 comment $\left(\mathbb{Z}/p\mathbb{Z},\times\right)\cong\left(\mathbb{Z}/\left(p-1\right)\mathbb{Z},+\right)$? This made perfect sense. What would be required to show that $(\mathbb Z/p\mathbb Z)^\times$ is cyclic? Sep 10 comment Arbitrary Intersection of Bounded Sets Is Bounded Is it okay to just say that $C$ is a subset of every $C_i$, which implies that $C$ is bounded by any $B_{r_i}$ that I wish? Jul 25 comment Basis, Ordered Basis, and Linear Independence @SolidSnake, if you write your comments into an answer, then I will accept it. Thank you. Jul 25 comment The Matrix of $T$ Relative to the Ordered Bases $\mathcal B$ and $\mathcal B'$ for $V$ I know $[T\alpha]_{\mathcal B'}=A[\alpha]_{\mathcal B}\not\Longleftrightarrow[T\alpha]_{\mathcal B}=A[\alpha]_{\mathcal B'}$ because neither $[T\alpha]_{\mathcal C}$ nor $[\alpha]_{\mathcal C}$ might even make sense for some $\mathcal C\in\{\mathcal B,\mathcal B'\}$. What I'm concerned about is whether the bolded definition is ambiguous with my restrictions. Jul 25 comment Basis, Ordered Basis, and Linear Independence @SolidSnake, I see. What if it is an ordered basis? Jul 24 comment Matrix Equation: Reduced Row Echelon Form Brilliant! I also see the connection between this and Solid Snake's comment regarding elementary matrices. Jul 24 comment Matrix Equation: Reduced Row Echelon Form @Tucker, you are correct for that particular case. Jul 20 comment Hestenes' Existence of Extreme Points @user251257 You are right. Thank you for your help. If you write your comments into an answer, then I will accept it. Jul 20 comment Hestenes' Existence of Extreme Points @user251257 I see; the horizontal asymptote is breaking it. Can I still salvage it by requiring that $f (S)$ also be closed? Jul 20 comment Hestenes' Existence of Extreme Points Take $f(x)=x^2$ on $S=(0,\infty)$. Then $\inf_Sf=0$, but there exists no $x_0\in S$ such that $f(x_0)=0$. Jun 15 comment How are basis elements also elements of the topology? +1 It follows by definition. For some reason I thought that I had to demonstrate it. Apr 24 comment Continuity Rewritten: $\forall\delta>0,\exists\varepsilon>0\dots$ @BarryCipra, my diction was off: I meant to express "subtle," not "succinct." Thank you. Apr 24 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. Apr 9 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? Feb 19 comment Precise definition of limit @Valentino: oh, man, I have that book, and it is not that straightforward. :-O Feb 19 comment Probability and dice rolls +1 I programmed a simulation that corroborates this. Feb 19 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. Dec 10 comment @Bak1139, are you familiar with clicking users' profiles to deduce whether they know how the system works? Nov 28 comment Bipartite Graph and Non-connected node? Do you know what it means for a graph to be bipartite? Nov 28 comment Naturality of $n$-truncation Please fix the title of your question.