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I'm having a hard time putting my question into words, so I made a few pictures.Look at this plot: Clearly, everyone will...
Asked on 12/03/2021 by murphy
3 answerPlaying with a pencil and paper notebook I noticed the following: $x=1$ $x^3=1$$x=2$ $x^3=8$$x=3$ $x^3=27$$x=4$ $x^3=64$$64-27 = 37$ $27-8 = 19$ $8-1 = 7$$19-7=12$ $37-19=18$$18-12=6$I noticed a pattern for...
Asked on 12/03/2021
4 answerI'm trying to check a bound on Stieltjes transform of a probability measure, that's given in equation (2.92) on P. 170 in Terence Tao's notes "...
Asked on 12/03/2021
2 answerGiven a commutative noetherian ring $A$ and an element $ain A$, we denote by $A[a^{-1}]$ the localisation of $A$ at ${1,a,a^2,cdots}$. The infinite Koszul complex...
Asked on 12/03/2021
1 answerin p. 424 of this book, it says that$$n(2n-1) text{ anti-sym rep of } SO(2n)$$$$ton^2-1 text{ adjoint-rep of } SU( n)$$...
Asked on 12/03/2021
0 answerLet $X$ be some holomorphic symplectic manifold. This means we have choosen some $omegain H^{2,0}(X).$ If $f:Xrightarrow X$ is a symplectomorphism, then we have by definition...
Asked on 12/03/2021
0 answerThis is Exercise 1 from Section 1.2, page 9, of Topology and Groupoids by Brown. I paraphrase portions of the book to hopefully improve clarity. I found questions such as...
Asked on 12/03/2021
1 answerI am watching Lecture 5 of MIT 6.041 Probabilistic Systems Analysis and Applied Probability. In the lecture, Professor said Random Variable is a function that maps elements...
Asked on 12/03/2021
2 answerLet ${ a_n }_{n in mathbb{N} }$ and ${ b_n }_{n in mathbb{N} }$ be two non-increasing sequences of positive numbers, $$sum _{n=1} ^infty a_n ...
Asked on 12/03/2021 by Sinusx
1 answerI am trying to learn how to replicate the matrix calculus done in the following paper: https://arxiv.org/pdf/1811.11433.pdf. To learn how to do this, I a using...
Asked on 12/03/2021 by xedg
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