Results 21 to 30 of about 20,001 (120)
The braid and the Shi arrangements and the Pak–Stanley labelling
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Rui Duarte, António Guedes de Oliveira
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Labeling the Regions of the Type $C_n$ Shi Arrangement [PDF]
The number of regions of the type $C_n$ Shi arrangement in $\mathbb{R}^n$ is $(2n+1)^n$. Strikingly, no bijective proof of this fact has been given thus far. The aim of this paper is to provide such a bijection and use it to prove more refined results. We construct a bijection between the regions of the type $C_n$ Shi arrangement in $\mathbb{R}^n$ and ...
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Shiism in the Period of "Minor Disappearance" Continuation and Transformation [PDF]
Hasan Hoseinzadeh Shanechi thatThe ah Muslim brought about a new situation in the "Disappearance" and scholastic spheres of that society. Ashariyah Shi Shi'i community ah; Muslims other consequently led to new developments in the cultural impacts The ...
Hasan Hoseinzadeh Shanachi
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A Survey of the Shi Arrangement
I would like to keep a running version on my website. If you know of work on the Shi arrangement that I have missed, please send me a tex summary and references.
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Counting faces in the extended Shi arrangement
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Shi Arrangements Restricted to Weyl Cones
v2: improved and expanded exposition, version to appear in Annals of Combinatorics; 18 ...
Galen Dorpalen-Barry, Christian Stump
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Simple-root bases for Shi arrangements
In his affirmative answer to the Edelman-Reiner conjecture, Yoshinaga proved that the logarithmic derivation modules of the cones of the extended Shi arrangements are free modules. However, all we know about the bases is their existence and degrees. In this article, we introduce two distinguished bases for the modules. More specifically, we will define
Abe, Takuro, Terao, Hiroaki
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A Class of Labeled Posets and the Shi Arrangement of Hyperplanes
An unlabeled poset is \((C_2+ 1)\)-free if it does not contain the three element poset \(\{p,q,r\}\) where ...
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A scoping review of national policies for dementia prevention and control in mainland China
Introduction Limited knowledge has been found on the policies of dementia prevention and control from low- and middle-income (LMIC) countries. This study aims to provide comprehensive evidence of policy progress regarding dementia prevention and control ...
Jingbin Zhang, Xiaowan Wang, Shasha Yuan
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A basis construction for free arrangements between Linial arrangements and Shi arrangements
<p>A central arrangement $ \cal{A} $ was termed free if the module of $ \cal{A} $-derivations was a free module. The combinatorial structure of arrangements was heavily influenced by the freeness. Yet, there has been scarce exploration into the construction of their bases.
Meihui Jiang, Ruimei Gao
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