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I already knew the definition of the tensor product of two modules over a commutative ring : It takes two modules over the ring and spits out a module over...
Asked on 02/02/2021
1 answerI've been thinking for some time about this problem, however I'm not yet sure how to approach it. There are a few ways to think about this, however I'll give...
Asked on 02/02/2021
2 answerI'm looking for a reference that the hyperbolic area of the modular curve $mathcal{H}/SL(2,mathbb{Z})$ is $pi/3$. Also, what is the measure relative to which this is true? In...
Asked on 02/02/2021 by stupid_question_bot
0 answerSection 3.4 of Folland's Real Analysis is titled "Differentiation on Euclidean space". In it he presents material that he says "may be regarded as a generalization of the fundamental theorem...
Asked on 02/02/2021 by 5fec
0 answerFind the General solution $u(t,x)$ to the partial differential equation $u_x+tu=0$. Here is what I've tried. I feel like this should be easy, but I'm not catching...
Asked on 02/01/2021 by C-Web
3 answerDoes the set$left{ left(begin{array}{c}x\yend{array}right)inmathbb{R}^{2} s.t xleq yright} $ span all of $mathbb{R}^2$. I don't know because $yinmathbb{R}$ and then $left(begin{array}{c}x\y...
Asked on 02/01/2021 by user75453
3 answerI was given this assignment and I was wondering if my proof makes sense? Also I'd love some feedback and...
Asked on 02/01/2021 by MathCurious
1 answerLet $B(x, r)$, be a two dimensional open disc with center $x in mathbb{R}^2$ and radius $r > 0$. Consider a set $E subset mathbb{R}^2$ such...
Asked on 02/01/2021 by Samantha Wyler
1 answerGiven above diagram how can we calculate the fundamental group? I thought we could apply Seifert-Van Kampen. Thus we need...
Asked on 02/01/2021
0 answerHere is the problem: Show whether $a_n$ converges: $$ frac1{2^2}+frac2{3^2}+dots+frac n{(n+1)^2}$$ So what I tried to do is I tried to show that $a_{n+1}-a_n>0$ which can be...
Asked on 02/01/2021
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