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 May17 comment A silly problem on critical points? @John From the page: "$Sin^{-1}(x)$ is the inverse sine function." May17 comment A silly problem on critical points? @John See here. May17 asked A silly problem on critical points? May17 revised Barbeau's Polynomials: Quadratic Polynomials, 1.2.2 edited tags May17 asked Barbeau's Polynomials: Quadratic Polynomials, 1.2.2 May17 accepted Having the roots of a polynomial, is it possible to go back and find a polynomial that have exactly these roots? May17 revised Having the roots of a polynomial, is it possible to go back and find a polynomial that have exactly these roots? edited tags May17 asked Having the roots of a polynomial, is it possible to go back and find a polynomial that have exactly these roots? May14 comment If $n^2=ab$ and $\gcd(a,b)=1$, show that $a,b$ are not necessarily squares. And the author actually gave a similar hint in the beginning of the questions and I completely missed it. I'm so stupid. May14 comment If $n^2=ab$ and $\gcd(a,b)=1$, show that $a,b$ are not necessarily squares. Oh. $-1\cdot -1$ and $1 \cdot 1$. I guess I understand it. May14 comment If $n^2=ab$ and $\gcd(a,b)=1$, show that $a,b$ are not necessarily squares. @HenningMakholm I explained a little further in the text. May14 revised If $n^2=ab$ and $\gcd(a,b)=1$, show that $a,b$ are not necessarily squares. edited body May14 asked If $n^2=ab$ and $\gcd(a,b)=1$, show that $a,b$ are not necessarily squares. May14 comment In a ring, if addition is commutative, does it implies that multiplication is commutative? @RobertLewis No. See my profile for explanation. May14 comment In a ring, if addition is commutative, does it implies that multiplication is commutative? Of, it seems I confused one thing. Here. He says: "In addition, if $ab=ba$, then it is a commutative ring". I thought he was talking about addition. Silly me. May14 asked What are the benefits of using reduction map and lift instead of function and inverse image? May14 asked In a ring, if addition is commutative, does it implies that multiplication is commutative? May14 accepted How to show that $at^2+bt+c$ can be written as $\displaystyle $$a \left( t+\frac{b}{2a}\right) ^2-\frac{1}{4a}(b^2-4ac)$$$? May14 accepted What is $R(k,l)$? May14 comment What is $R(k,l)$? Oh, now I get it. Thanks.