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I have been reading Tao’s Analysis I, Chapter 4 which he builds up the definition of integers and in particular, the definition of subtraction using a placeholder “ $...
Asked on 01/08/2021
1 answerSuppose that ${A_i}$ is a sequence of independent events with $Pleft(bigcup_{i=1}^infty A_iright) = 1$ and $P(A_i)<1$ for all $iin mathbb{N}$. Show that$$P(A_i text{...
Asked on 01/07/2021 by Xiangdong Meng
1 answerSo many solutions on here seem to use the following result: if $f(z)$ has a pole at $z_0$, and $lim_{z to z_0}(z-z_0)^{m}f(z)$ is finite and non-zero (or...
Asked on 01/07/2021 by Prasiortle
1 answerso i have given the folowing info: In general, if $A$ is a set, for $S in mathcal P(A)$ define $chi(S) : A to {0,1}$ by ...
Asked on 01/07/2021 by TheCreator
2 answerHow do I prove this is continuous/discontinuous? A function $f(x)$ (can be any function, in general) is defined on the interval $[3,7]$, where $f(3)=2$ and $f(7)=4$....
Asked on 01/07/2021 by Mat Rhine
1 answerLet's say I have a line segment given ?1 and ?2. I can calculate the Distance between the two, and the Slope, which will help. I want to 'shorten' the...
Asked on 01/07/2021 by Jordan Farris
1 answerConsider the surface of revolution generated from rotating the curve $3xe^x$ from $0 leq x leq 1$ about the $x$-axis. So, the integral will look like: ...
Asked on 01/07/2021 by FireFenix777
1 answerI'm looking at a transportation problem:$$min_{x_{ij}} sum_{i=1}^{m}sum_{j=1}^{n} c_{ij}x_{ij}$$subject to$$sum_{j=1}^nx_{ij} = s_i, mbox{ for all } i=1,...,m.$$and$$sum_{i=1}^mx_{ij} = d_j, mbox{ for all }...
Asked on 01/07/2021 by Rasus
0 answerThis particular question is from my assignment in complex analysis and I need to verify my answer and way of solving.Let $f$ be analytic for $|z| leq 3$...
Asked on 01/07/2021 by Avenger
0 answerThe question wants me to prove the following ODE via integrating factor method:$$ frac{dx}{dt} + frac{t}{(1+t^2)}x = frac{1}{t(1+t^2)} $$ I got my integrating factor to be $...
Asked on 01/07/2021 by Ryan Seah
1 answerGet help from others!
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