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Consider the stochastic process $(X_{t})_{tin mathbb R_{+}}$ on a filtered probability space $(Omega,mathcal{F},(mathcal{F}_{t}^{X})_{tin mathbb R_{+}},mathbb P)$ where $mathcal{F}_{t}^{X}=sigma (X_{s}:0leq sleq t) $. Let $T$ be a...
Asked on 01/24/2021 by MinaThuma
1 answerRecall that for each vector $omegainmathbb R^3$, there is an anti-symmetric matrix $ [omega]_timesinmathbb R^{3times 3}$ (and vice-versa) such that $$[omega]_times h= omegatimes h.$$ Matrix product on...
Asked on 01/24/2021 by Calvin Khor
1 answerConsider a functions with the property that $f(x)=f(1/x) forall x not = 0$ and $f$ continuous. Does this tell us anything about the derivatives of $f$? I...
Asked on 01/24/2021 by user106860
2 answerI am trying to find the convergence of the following series:$$sum_{n=1}^{+infty}ntan left( frac{pi}{2^{n+1}}right )$$ I am stuck trying out different tests but none of them seem to give...
Asked on 01/24/2021 by Dzamba
2 answerI'am trying to find some way to effectively enumerate all possible graphs without repetition. I know there are Prüfer codes for trees, but what about other graphs? And if there...
Asked on 01/24/2021 by alagris
1 answerIs there any means to solve the "partial" integral equation of $u$: $$int_{l} u(x,y) dmathcal{H}^1=F(a,b,c)$$ (where $l={(x,y)|ax+by+c=0, a^2+b^2=1}$ is a straight line in $Bbb{R}^2$ and ...
Asked on 01/24/2021 by Zerox
0 answerThis is question I tried to solve as follows Consider $A$ be closed set in $Bbb R$ Therefore $Bbb{R}smallsetminus A$ is Open set .Now By Representation...
Asked on 01/24/2021 by idon'tknow
2 answerGiven $f(x) = Ax^3 + By^3 - Cx - Dy + E$ Propose any value for $A, B, C, D$ and $E$ so that these will give...
Asked on 01/24/2021 by Tahoh
1 answerI know we need to use the argument principle to solve this, but I don't know how to use this. Argument Principle states: $$text{number of zeros}=frac{1}{2pi i}int_{partialOmega}frac{f'(z)}{f(z)}dz.$$...
Asked on 01/24/2021 by Machine Learner
0 answerI have to show that $(1-frac{t^2}{2r}+O(r^{-frac{3}{2}}))^{-r}rightarrow e^{frac{t^2}{2}}$ as $rrightarrowinfty$ I have expanded the given expression like below: $(1-frac{t^2}{2r}+O(r^{-frac{3}{2}}))^{-r}$ $= (1-frac{t^2}{2r})^{-r} - rO(r^{-frac{3}{2}})(1-frac{t^2}{2r})^{-r-1} + binom{r+1}{2}(O(r^{-frac{3}{2}}))^2(1-frac{t^2}{2r})^{-r-2}-...$ As ...
Asked on 01/24/2021 by user587389
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