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Q&A for professional mathematicians
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Hottest Questions Today - MathOverflow
Skip to main content Stack Exchange Network Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, ...
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I hope everyone is doing well. Let $K \subset \mathbb{R}^n$ be a centrally symmetric convex body $(K = -K)$. Denote by $K \mid H$ the orthogonal projection of $K$ onto $H$, where $H$ is an $n - 1$
Mathoverflow.net news digest
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0 days
Solving Transcendental Equation with the Lambert W Function
Is it possible to express the solution y(x) to Transcendental Equation y+t=x*E^(y^2),t≠0 in terms of the Lambert W function?
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0 days
Is the cocharacter lattice of a k-torus isomorphic to the character lattice as G...
Let $k$ be a field, say, of characteristic $0$ and $G$ its absolute Galois group. There is a contravariant bijective correspondance between $k$-tori and free finite type $\mathbb{Z}$-modules with $G$-action, given by the characters:
$$X^*(T) = \text{Hom}_{\overline{k}-\text{alg groups}} (T_{\overline{k}}, \mathbb{G}_{m, \overline{k}})$$The $G$-action given by conjugation. (These facts can be checked, for example, in Borel's linear algebraic groups). Does anyone know an example of... -
0 days
Bijections between maximal independent sets in matroids
If $(P, \leq)$ is a poset, we denote by $\newcommand\Max{\text{Max}}\Max(P)$ the collection of maximal elements of $(P,\leq)$.
In order to agree on a common definition of a (finite or infinite) matroid, we call a matroid a pair $M=(E, {\cal I})$ where $E$ is a finite or infinite set and ${\cal I}\subseteq {\cal P}(E)$ such that the following statements hold:... -
5 years
Approximating a subclass of $L^2(\mathbb{R})$ by Schwartz functions within simil...
It is well-known that real valued Schwartz functions on $\mathbb{R}_+$ $\mathcal{S}(\mathbb{R}_+)$ are dense in the set of square integrable functions on $\mathbb{R}_+$ $L^2(\mathbb{R}_+)$. We can further restrict this result to nonnegative functions...
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