Results 31 to 40 of about 19,463 (248)
Shi Threshold Arrangement [PDF]
The Electronic Journal of Combinatorics, 2012 Richard Stanley suggested the problem of finding the number of regions and the characteristic polynomial of a certain hyperplane arrangement defined by $x_i + x_j=0,1$, which is called the Shi threshold arrangement. We present the answer of the problem, using the finite field method.
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Parking Functions, Shi Arrangements, and Mixed Graphs [PDF]
The American Mathematical Monthly, 2015 The \emph{Shi arrangement} is the set of all hyperplanes in $\mathbb R^n$ of the form $x_j - x_k = 0$ or $1$ for $1 \le j < k \le n$. Shi observed in 1986 that the number of regions (i.e., connected components of the complement) of this arrangement is $(n+1)^{n-1}$.
Matthias Beck +5 more
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Bijections for the Shi and Ish arrangements
European Journal of Combinatorics, 2014 The {\sf Shi hyperplane arrangement} Shi(n) was introduced by Shi to study the Kazhdan-Lusztig cellular structure of the affine symmetric group. The {\sf Ish hyperplane arrangement} Ish(n) was introduced by Armstrong in the study of diagonal harmonics. Armstrong and Rhoades discovered a deep combinatorial similarity between the Shi and Ish arrangements.
Emily Leven +2 more
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The Shi arrangements and the Bernoulli polynomials [PDF]
Bulletin of the London Mathematical Society, 2011 We fixed a ...
Suyama, Daisuke, Terao, Hiroaki
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Evaluating the Potential of Organic Agriculture to Improve Soil Health and Reduce Environmental Impact [PDF]
SHS Web of ConferencesBiological agriculture is ahead of acknowledgment for its prospective to augment soil well-being and diminish environmental bearings associated with conservative agriculture. The crucial matter discussed in this investigation is the shortage of soil well-
Alabdeli Haider +2 more
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, 2018 We introduce a new family of hyperplane arrangements in dimension n≥3 that includes both the Shi arrangement and the Ish arrangement. We prove that all the members of a given subfamily have the same number of regions – the connected components of the ...
Duarte, Rui +1 more
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Labeling the Regions of the Type $C_n$ Shi Arrangement [PDF]
The Electronic Journal of Combinatorics, 2013 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]
تاریخ اسلام, 2001 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
doaj
Advanced Functional Materials, EarlyView.A bikitaite‐infused cellulose separator is introduced for Li metal batteries, leveraging bikitaite zeolite's ion‐conductive properties to regulate Li+‐ion flux and suppress dendrite growth. The membrane design ensures uniform Li plating, enhanced electrolyte wettability, and robust thermal/mechanical stability, delivering stable performance and low ...
Isheunesu Phiri +2 more
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Advanced Functional Materials, EarlyView.When hydrated zinc ions are deposited onto Cu substrates at practical current densities, the modified Cu enables simultaneously compact zinc growth and suppressed hydrogen evolution. This regulatory effect originates from the superior adsorption of the modified Cu interface, which enhances zincophilicity and the hydrogen desorption barrier, thereby ...
Zhe Zhu +8 more
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