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Q&A for professional mathematicians
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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 $n - 1$
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Hottest Questions Today - MathOverflow
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0 days
A primorial centrality conjecture for symmetric prime intervals and a consequenc...
Let $p_{j}$ denote the $j$-th prime and let
$$H_{m}=\liminf_{j\to\infty}(p_{j+m}-p_j).$$
For an integer $n$, define -
0 days
How to show that a structure is not a reduct of a $k$-ary structure?
Mervyn Tong recently asked me this question.
Say that a (first order) structure is $k$-ary if every formula is equivalent to a boolean combination of $k$-ary formulas. Equivalently: if it eliminates quantifiers in a $k$-ary relational language. There are examples of reducts of $k$-ary structures... -
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The equivalence of different forms of Gauss’s lemma
Let $R$ be a commutative integral domain and let $K$ be its field of fractions. Are the following statements equivalent?
If $f$ and $g$ are primitive polynomials in $R[x]$, then their product $fg$ is also primitive.
A primitive polynomial $f$ in $R[x]$ is irreducible in $R[x]$ if and only if it is irreducible in $K[x]$.... -
0 days
Neat Embeddings of Manifolds with faces
I have the following problem that I would like to address. Let M be a manifold with faces, this is a manifold with a given decomposition of the boundary i.e. $(M,\partial^{0,1}_iM)$ such that the intersection $\partial_iM\cap \partial_jM$ are again faces...
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