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I am trying to prove:$f$ is a real, uniformly continuous function on the bounded subset $E$ in $mathbb{R}^1 implies f$ is bounded on $E$.My attempt:...
Asked on 10/10/2020 by Ricky_Nelson
1 answerI want to know if what I did is correct. The problem is: "A mixture A has a 2% hydrogen solution and a mixture B has a 1.5% of this...
Asked on 10/09/2020 by gi2302
1 answer$$n! approx sqrt{2 pi n} ; left(frac{n}{mathrm e}right)^{n},$$in the sense that the percentage error $to 0$ as $n to infty$. Show that the formula has...
Asked on 10/09/2020 by Subbota
1 answerLet $k$ be a field, let $k[r^3,r^4]$ be a subalgebra of $k[r]$, and define the map$$varphi:k[a,b]to k[r^3,r^4],quad f(a,b)mapsto f(r^3,r^4).$$I want to show...
Asked on 10/09/2020 by Michael Morrow
1 answerConsider a system of $N$ non-relativistic spin-$0$ fermions in $D$-dimensional space, all of the same species. The wavefunction of such a system can be represented by a...
Asked on 10/08/2020
2 answerI came across this question about homogenous differential equations, which has me scratching my head because it seems like its doing magic. The problem is as follows: A particular solution...
Asked on 10/08/2020 by NX37B
1 answerLet $f_m(x) =lim_{nrightarrow infty}cos(pi m!x))^{2n}$; we know that it is a Lebesgue and Riemann integrable function, and $g(x)=lim_{mrightarrow infty} f_m(x)$, which is not Riemann integrable but Lebesgue integrable....
Asked on 10/08/2020 by fdez
1 answerSuppose I have a "time-sampling" operator given bybegin{align*}S_m: C([0,1]) &to mathbb{R}^m \f &mapsto (f(t_1),f(t_2),...,f(t_m))end{align*} Now I want to extend this to $L^2([0,1])$. However, what...
Asked on 10/07/2020 by AspiringMathematician
0 answerI got the two root $r=pm 3i$. I am using the method of undetermined coefficients to solve this equation. I got $Y(t) =t(Acos(3t)+Bsin(3t))$ since $α + iβ$...
Asked on 10/07/2020 by ashids
1 answerI'm asked to give a sketch of this set: $K = {(x,y)inmathbb R^2: 13x^2-10xy+13y^2=72}$ and then give the points for which the distance from the origin is maximal/ will...
Asked on 10/06/2020 by rosita
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