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Let $ninmathbb N$, $B$ a $n$-dimensional Brownian motion, $sigma_t$ a positive (deterministic) caglad (LCRL) function in $mathcal L^2([0,infty[)$ and $finmathcal C^2(mathbb R^ntomathbb R)$...
Asked on 11/02/2021
0 answerLet $$displaystyle M_n(f)=int_0^1t^nf(t)dt, quad forall ninmathbb N$$I ask if they exist a continuous function f on [0,1] such that $$M_n(f)=e^{-n^2}quad forall ninmathbb N$$it seems obvious that...
Asked on 11/02/2021
2 answerI have a PDE of the following form:$$frac{1}{sintheta}frac{partial}{partialtheta}left(sinthetafrac{partial f}{partialtheta}right)+frac{1}{sin^2theta}frac{partial^2f}{partialphi^2} = Acostheta,max(cosphi, 0) + B-Cf^4~.$$ Does anyone know if an analytical solution exists for this equation? We can assume...
Asked on 11/02/2021 by titanium
1 answerI'm struggling with the following simple dynamic programming problem for a couple of days. This is my first time to try to solve a dynamic programming problem analytically. The structural...
Asked on 11/02/2021
0 answer$$left(1+frac{i^{(m)}}{m}right)^m = 1+i = frac{1}{1-d} = left(1-frac{d^{(n)}}{n}right)^{-n}$$where $i=$effective interest rate, $d=$ effective discount rate, $i^{(m)}=$nominal interest rate , $d^{(m)}=$nominal discount rate First,...
Asked on 11/02/2021 by MinYoung Kim
1 answerThe problemSo recently in school, we should do a task somewhat like this (roughly translated):Assign a system of linear equations to each drawingThen, there were some systems of three linear...
Asked on 11/02/2021
7 answerThe secretary problem is well-known. $N>2$ candidates present themselves for a job. You must either hire a candidate immediately after interviewing him, or let him...
Asked on 11/02/2021 by saulspatz
1 answerSuppose I have a finite-dimensional algebra $V$ of dimension $n$ over a field $mathbb{F}$. Then $V$ is an $n$-dimensional vector space and comes equipped with...
Asked on 11/02/2021 by Perturbative
6 answerI recently stumbled upon an interesting plot that I - even until today - could not quite explain: ...
Asked on 11/02/2021 by Meowdog
2 answerMinimal logic does not assume any falsity $bot$ or negation $neg$, so the above mentioned laws can (apart from Peirce's) not be stated as usual....
Asked on 11/02/2021 by Lereau
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