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Questions tagged [reference-request]

This tag is for questions seeking external references (books, articles, etc.) about a particular subject. Please do not use this as the only tag for a question.

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30 views

I am looking for a reference of any kind, which describes the revised dual simplex method. I know the primal simplex method (revised and tableau), and I think I understand the dual simplex tableau ...
-1 votes
1 answer
100 views

I am looking for Calc 1 problems to practice for my final exam. My course is purely about differential calculus, and all the exercises I am interested in are proof-based. Ideally I want interesting, ...
7 votes
0 answers
48 views

Let $(X,\mathcal B,P)$ be the probability space with $X=[0,1],ドル $\mathcal B$ the Borel $\sigma$-algebra and $P$ the Lebesgue measure. Consider an arbitrary sequence $(X_n)_{n\ge1}$ of simple random ...
0 votes
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77 views

Consider the boundary value problem on $\mathbb{R}^n\times [0,T],T>0$ $$ \begin{cases} \partial_tu(x,t)+\mathcal{A} u(x,t)+f(x,t,\delta)=0\\ u(x,T)=0 \end{cases} $$ where $\delta:\mathbb{R}^n\times ...
2 votes
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40 views

Let $V\to X$ be a real vector bundle with structure group $SO(3)$. Why does the second Stiefel-Whitney class satisfies $$ w_2(V)^2=p_1(V) \mod 4?$$ This is asserted in p.41 of Donaldson & ...
0 votes
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35 views

Does anyone know which book could provide relevant insights in solving this system of 2 congruence equations in 4 variables: \begin{cases} a^2+b^2\delta -c^2-d^2 \delta \equiv n \pmod{p^q} \\ 2ab - ...
0 votes
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I am interested in studying Fourier analysis on the setting of $\left(\Bbb{R}^{p+q}, [\cdot,\cdot]_{p,q}\right)$ where $$[x,y]_{p,q}:=\sum_{m=1}^p x_my_m - \sum_{m=p+1}^q x_my_m\:.$$ I would like to ...
1 vote
2 answers
103 views

I have found a Volterra integral equation of the first kind of the following type: $$y(r)=\int_0^r,円K(t,r),円f(t,r),円\mathrm dt,$$ in which my unknown function is $f(t,r)$. I have tried to find ...
1 vote
0 answers
68 views

Is there any way of regularizing the following integral and showing equality? $$\int \int \int_{\mathbb{R}^3} \exp \left (- i (k_1+k_2)(k_2+k_3)(k_3+k_1) \right ) ,円 dk_1 dk_2 dk_3 = \frac{2 \pi \ln ...
0 votes
0 answers
60 views

I am looking for bibliography to learn about formal schemes and superschemes. I have seen that Hartshorne includes a subchapter about the first, but maybe there exists some better reference. I do not ...
4 votes
1 answer
87 views

A few months ago, while experimenting with GeoGebra, I came across what looks like an interesting property: In a cyclic quadrilateral, the radical axis of the circle through the four vertices and the ...
9 votes
0 answers
122 views

I and my friend want to run a representation-theory-oriented as well as geometry-motivated reading seminar on Calabi-Yau theory. To be precise, we want to learn the Kähler-Einstein aspect of Calabi-...
5 votes
2 answers
172 views

Let $ f(z)=\sum\limits_{n\ge 0} a_n z^n $ be a power series with radius of convergence $R>0$. Define $ S_0=\{z\in\mathbb{C}:|z|=R,\ \text{the series for } f(z)\ \text{converges}\}, $ and $ S_1=\{z\...
6 votes
1 answer
381 views

I am interested in learning more about general vector bundle theory. More specifically, vector bundles of class $C^k$ for $k\in\mathbb{N}$ or $C^\infty$ or real-analytic whose fibers can be given the ...
3 votes
0 answers
78 views

I've seen two definitions of hyperprojective sets: sets that are both inductive and co-inductive (cf. p.315 of Moschovakis's book); sets that belong to the smallest $\sigma$-algebra that contains ...

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