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### Braches and the Radius of Convergence

I have the impression that Newton's Polygon makes precise the intuitive notion of the branches of an algebraic finction and gives a convergent series corresponding to each branch. Is my impression ...
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1 vote
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### Growth of cocycles in higher degrees

Let $G$ be a group with finite symmetric generating set $S$ and let $\pi:G\rightarrow\mathcal{U}(\mathcal{H})$ be a unitary representation of $G$ on a Hilbert space $\mathcal{H}$. A 1-cocycle with ...
161 views

### What would you do with a new model of linear logic?

I have been working for some time with collaborators developing some models of linear logic which we are confident are new. However, none of us is deep enough in the field to answer the sceptic's ...
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### $a \cos(x) + ib \sin(x)$ reduced to $\cos(x+iy)$form [closed]

As the titled suggests, is there is formula remotely near this expression? $a \cos(x) + ib \sin(x)$ reduced to $\cos(x+iy)$. Contextual basis, I'm required to convert a Laurent polynomial to a trig ...
31 views

### Optimality condition for strongly convex function under sparsity constraint

Let $f: \mathbb{R}^p \to \mathbb{R}$ be a $2s$-sparse strongly smooth, $2s$-sparse strongly convex and twice differentiable function. In other words, there exists positive constants $\alpha, L >0$ ...
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### Generalized HLS inequality

The HLS inequality implies that if $p, q > 1$, $0 < \lambda < d$ are such that $$\frac{1}{p} + \frac{1}{q} + \frac{\lambda}{d} = 2,$$ then  \int_{\mathbb{R}^d}\int_{\mathbb{R}^d} f(x) |x -...
1 vote
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### Representing geodesic compactifications of $S^1\times \Bbb R$ as analytic sections over base (analytic) foliations

Given a smooth nested set of "partial" foliations $\mathcal F_{\alpha}=\big\lbrace e^{\frac{\alpha}{\log x}}: \alpha \in (1/k,k), x\in(0,1),k\in [1,\infty) \big\rbrace$ of $X^2=(0,1)^2$ with ...