We prove that on a punctured oriented surface with Euler characteristic chi < 0, the maximal cardinality of a set of essential simple arcs that are pairwise non-homotopic and intersecting at most once is 2|chi|(|chi|+1). This gives a cubic estimate i...
Our portfolio of proven, medical grade plastic compounds help create safe and effective medical devices and equipment for some of the most famous brands in the world. Click on the boxes below to learn …
Cross-sectional imaging of the lungs, or pulmonary imaging, has proven to be an incredibly valuable tool in a wide range of pulmonary diseases. The vast majority of lung imaging is done with CT, as it is fast enough to freeze respiratory motion and p...
We introduce twist left-veering mapping classes of punctured surfaces. We prove that a twist left-veering open book supports an overtwisted contact structure and determine when the closed braid coming from the punctures is loose or virtually loose....
Inspired by the study of loose cycles in hypergraphs, we define the \emph{loose core} in hypergraphs as a structure which mirrors the close relationship between cycles and $2$-cores in graphs. We prove that in the $r$-uniform binomial random hypergra...
In this paper maximal commutators and commutators of maximal functions with functions of bounded mean oscillation are investigated. New pointwise estimates for them are proved....
We introduce a notion of maximal potentials and we prove that they form bounded operators from $L^p$ to the homogeneous Sobolev space $\dot{W}^{1,p}$ for all $n/(n-1)<p<n$. We apply this result to the problem of boundedness of the spherical maximal o...
The most famous open problem in Monotone Operator Theory concerns the maximal monotonicity of the sum of two maximally monotone operators provided that Rockafellar's constraint qualification holds. In this paper, we prove the maximal monotonicity o...
**I am still NOT the Original Poster. That is** [u/throwaway970012390](https://www.reddit.com/u/throwaway970012390/). He posted in [r/AmItheAsshole](https://www.reddit.com/r/AmItheAsshole/), [r/Advice...
It is well-known that any finite triangulation possesses a unique maximal Schnyder wood. We introduce Schnyder woods of infinite triangulations, and prove there exists a unique maximal Schnyder wood of any infinite triangulation with finite boundary,...
We prove that the generalized rational blowdown, a surgery on smooth 4-manifolds, can be performed in the symplectic category....
In this paper, we prove that the weighted BMO space as follows $${\rm BMO}^{p}(ω)=\Big\{f\in L^{1}_{\rm loc}:\sup_{Q}\|χ_{Q}\|^{-1}_{L^{p}(ω)}\big\|(f-f_{Q})ω^{-1}χ_{Q}\big\|_{L^{p}(ω)}<\infty\Big\}$$ is independent of the scale $p\in (0,\infty...
Jan 11, 2026 · Discover the shocking psychological power of warm & cool colors! Unlock secrets to influence mood, emotions & design with proven color psychology tips.
We prove a structural result concerning the exit path category associated to a manifold $M$ equipped with a smooth action of a finite group $G$. Specifically, the functor $Π: \mathsf{Exit}(M) \rightarrow \mathsf{Exit}(M/G)$ is a right fibration and...
Dynamic early exiting has been proven to improve the inference speed of the pre-trained language model like BERT. However, all samples must go through all consecutive layers before early exiting and more complex samples usually go through more layers...
Fail definition: To prove deficient or lacking; perform ineffectively or inadequately.
The theory of tournament limits and tournament kernels (often called graphons) is developed by extending common notions for finite tournaments to this setting; in particular we study transitivity and irreducibility of limits and kernels. We prove tha...
In this paper, we prove a crucial theorem called Mirroring Theorem which affirms that given a collection of samples with enough information in it such that it can be classified into classes and subclasses then (i) There exists a mapping which class...
In recent papers, Margolis, Rhodes and Schilling proved that the complexity of a finite semigroup is computable. This solved a problem that had been open for more than 50 years. The purpose of this paper is to survey the basic results of Krohn-Rhodes...
In the class of smoothly embedded surfaces of sphere type we prove that the isoperimetric deficit can be controlled by the Willmore deficit....
A vector balleans is a vector space over $\mathbb{R}$ endowed with a coarse structure in such a way that the vector operations are coarse mappings. We prove that, for every ballean $(X, \mathcal{E})$, there exists the unique free vector ballean $\mat...
Feb 13, 2026 · Arnaud Tendon (Van Rysel Roubaix) captured the biggest dub of his career Friday, winning the opening stage of the Tour de la Provence from an impressive early breakaway that …
In 2016, Nath and Sellers proposed a conjecture regarding the precise largest size of ${(s,ms-1,ms+1)}$-core partitions. In this paper, we prove their conjecture. One of the key techniques in our proof is to introduce and study the properties of gene...
In this paper, we consider the set of partitions $ped(n)$ which counts the number of partitions of $n$ wherein the even parts are distinct (and the odd parts are unrestricted). Using an algorithm developed by Radu, we prove congruences modulo 192 whi...
In 1983, Lusztig defined a map $σ$ from affine permutations of $n$ to partitions of $n$. He conjectured that for any partition $λ$ of $n$, $σ^{-1}(λ)$ is a two-sided cell. Shi, in 1986, proved part of this conjecture. As a byproduct, he introduce...
The Krohn-Rhodes Theorem proves that a finite semigroup divides a wreath product of groups and aperiodic semigroups. Krohn-Rhodes complexity equals the minimal number of groups that are needed. Determining an algorithm to compute complexity has been...
We prove that any proper Fourier-Mukai partner of an abelian variety is again an abelian variety, by analyzing the Matsui spectrum of the derived category. This result was previously obtained by Huybrechts and Nieper-Wisskirchen in the case of smooth...
The Rips complex at scale r of a set of points X in a metric space is the abstract simplicial complex whose faces are determined by finite subsets of X of diameter less than r. We prove that for X in the Euclidean 3-space R^3 the natural projection m...
Selective Rips complexes corresponding to a sequence of parameters are a generalization of Vietoris-Rips complexes utilizing the idea of thin simplices. We prove that if a metric space $Y$ is close (in Gromov-Hausdorff distance) to a closed Riemannia...
Mar 11, 2013 · Adding to that a lot of settlers brought and used the knifes from home, as proven by various archeological finds. So at least in the early days exspect a lot of simple european knives in …
Using Givental's non-linear Maslov index we define a sequence of spectral selectors on the universal cover of the identity component of the contactomorphism group of any lens space. As applications, we prove for lens spaces with equal weights that th...
Navegue pelas empresas B2B mais bem avaliadas em Maceió, Alagoas, Brasil — desde fabricantes industriais até provedores de serviços de TI. Filtre por setor para encontrar parceiros verificados …
Let $G$ be a simple simply-connected connected linear algebraic group over $\mathbb{C}$. We proved a $2$-birational Torelli theorem for the moduli space of semistable principal $G$-bundles over a smooth curve of genus $\geq 3$, which says that if two...
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This paper aims to give an overview of the current state of fault-tolerant quantum computing, by surveying a number of results in the field. We show that thresholds can be obtained for a simple noise model as first proved in [AB97, Kit97, KLZ98], by...
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Starting to listen to Pablo Honey more and I'm starting to actually like it....
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