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If $C_n$ is the cyclic group of order $n$, then is there a good way to compute the global projective dimension of the integer group ring $mathbb{Z}[C_n]$?...
Asked on 02/03/2021 by Jack Polono
0 answerWe draw $10$ numbers from an interval $[0,5]$. Compute probability, that at least two of these numbers will land in $[1,3]$. So if $A-$ at least...
Asked on 02/03/2021 by itsme
1 answerConsider a set $S$ with a single binary operation $*$. Suppose that the only equations $*$ satisfies are of the form $t=t$, for every term ...
Asked on 02/03/2021
1 answerLet $T: L^2([0,1]) rightarrow L^2([0,1])$ be a linear and boundedoperator defined as: $$Tu(t) = log(1+t)u(t) spacespacespacespacespacespacespacespacespacespacespacespacespacespacespacespacespacespacespacespace tin[0,1]$$ Is $T$ compact? Justify the answer.Hi, I'm...
Asked on 02/03/2021
1 answerI came across this question the other day on an old Iran MO. The question goes as follows,Let $P$ be the set of all points in $R^n$ with...
Asked on 02/03/2021 by DBruwel
1 answerConsider $mathbb{P}^2$ and a point $pinmathbb{P}^2$. We can construct the blow-up of $mathbb{P}^2$ at $p$ (we denote it by $tilde{mathbb{P}}^2$) as the closed subvariety...
Asked on 02/03/2021 by konoa
0 answersay,$$f:mathbb Rrightarrowmathbb R$$ $$f(x)=(x-1)(x^2+sin x)$$and $g:mathbb Rrightarrowmathbb R$ is an arbitrary function.Given: $$h(x)=f(x)cdot g(x) forall in mathbb R$$ also given...
Asked on 02/03/2021 by Harshit Raj
2 answerThe interval $[0,T]$ is divided into $n$ subintervals $[ih, (i + 1)h], i = 0,1,2, ldots ,n -1,$ of equal lengths $h$ where $h=T/n$. The...
Asked on 02/02/2021 by 1_student
0 answerI tried asking this yesterday but my wording was too bad. I will try again because it really confuses me. Let's look at an identity like $$x^ndelta(x) = 0$$...
Asked on 02/02/2021
1 answerFind an equation relating $x$ and $y$ corresponding to the parametric equations $$x=dfrac {3t}{(1+t^3)}\y=dfrac {6t^2}{(1+t^3)}$$Where $t ne −1$ by eliminating the variable $t$...
Asked on 02/02/2021 by lkpppppppp
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