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I am reading this note called as The Grothendieck-Serre Correspondence by Leila Schneps where this quote occurs:the author still recalls Serre’s unexpected reaction of spontaneous delight upon...
Asked on 12/01/2021
1 answerWe look at the following equivalence relation on $mathbb{R}^2$: $(x_1,x_2) $~$(y_1,y_2)$ iff there exists $t>0$ such that $x_2 = tx_1 $ and $ty_2 =...
Asked on 12/01/2021 by Gabi G
1 answerIn an exercise from Vakil's algebraic geometry notes, he asks us to describe the set $rm Specspace k[epsilon]/(epsilon^2)$, where $k$ is a field. A comment from this...
Asked on 12/01/2021 by ponchan
1 answerGiven a chain complex $A_bulletinmathrm{Ch(mathbf{Ab})}$, are there exist some chain complex $A'_bulletinmathrm{Ch(mathbf{Ab})}$ which is chain equivalent to $A_bullet$ such that $A'_p$ are all free abelian groups?...
Asked on 12/01/2021
1 answerFirst I saw this, I was excited When I checked prime numbers and saw they are in this form. after checking more numbers I understood that every odd numbers can...
Asked on 12/01/2021 by Aligator
4 answerTime average of a sample function is defined as: $$bar{x} = langle~x(t)~rangle = lim limits_{T to infty}frac{1}{2T} int limits_{-T}^{T}...
Asked on 12/01/2021
1 answerSay that a second-order sentence in the empty language, $varphi$, characterizes finiteness iff for every set $X$ we have $Xmodelsvarphi$ iff $X$ is finite. I'm interested...
Asked on 12/01/2021
1 answerI'm reading Ahlfors' Complex Analysis. In this book, he provides the following proof of Cauchy's inequality. Using $|a -b|^2 = |a|^2 + |b|^2 - 2 Releft(aoverline{b}right)$ he establishes the...
Asked on 12/01/2021
1 answerI was analyzing my data and made a graph of it ($ f(x)$) and I wanted to find the maxima of $ frac {df(x)}{dx} $. The...
Asked on 12/01/2021
0 answerI am trying to wrap my head around the Neyman–Pearson lemma for simple vs simple hypothesis that is $$H_o: theta_0 hspace{19mm} H_a: theta_1$$ with the...
Asked on 12/01/2021 by Noe Vidales
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