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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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6 years
Disintegration of a push forward measure
Let $\mu$ and $\nu$ be two probability measures on $\mathbb{R}^{d}$.
Let $T : \mathbb{R}^{d} \rightarrow \mathbb{R}^{d}$ be a measurable map such that $T_{\ast} \mu = \nu$.I can disintegrate $\gamma := (id,T)_{\ast} \mu$ according to $(h, h_{\ast} \gamma$): I get a family of measures $\gamma_{y}$ concentred on $h^{-1... -
16 years
Quasi-separatedness for Algebraic Spaces
I'm reading Knutson's book on algebraic spaces, and I stumbled over the quasi-separatedness axiom in his definition of algebraic spaces (Definition 1.1, Chapter II). He defines an algebraic space $A$ as a sheaf on the site of schemes with the étale topology...
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25 days
On $a^3+b^3+c^3 = N$ and $a^5+b^5+c^5+d^5+e^5 = N$
(Update, July 15, 2026): Using a higher search radius, Simon Goater found,
while Jeff Braun found (June 27, 2026),
Guruprasad's earlier search radius of $|x|<20000$ found $6$ (and more) like, -
6 years
Is it possible to constructively prove that every quaternion has a square root?
Is it possible to constructively prove that every $q \in \mathbb H$ has some $r$ such that $r^2 = q$? The difficulty here is that $q$ might be a negative scalar, in which case there might be "too many" values of $r$. Namely, $r$ could then equal any...
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