scholarly journals On the second realization for the positive part of $$U_q(\widehat{sl_2})$$ of equitable type

2022 ◽  
Vol 112 (1) ◽  
Author(s):  
Pascal Baseilhac
Keyword(s):  
Positive Part

The positive-part Stein-rule estimator and tests of linear hypotheses

1988 ◽  
Vol 26 (1) ◽  
pp. 49-51 ◽  
Author(s):  
Aman Ullah ◽  
David E.A. Giles
Keyword(s):  
Positive Part ◽  
Tests Of Linear Hypotheses

scholarly journals Facets of the Generalized Cluster Complex and Regions in the Extended Catalan Arrangement of Type $A$

10.37236/3169 ◽  
2013 ◽  
Vol 20 (4) ◽  
Author(s):  
Susanna Fishel ◽  
Myrto Kallipoliti ◽  
Eleni Tzanaki
Keyword(s):  
Simple Root ◽  
Type A ◽  
Cluster Complex ◽  
Integer Partitions ◽  
Positive Part

In this paper we present a bijection between two well known families of Catalan objects: the set of facets of the $m$-generalized cluster complex $\Delta^m(A_n)$ and that of dominant regions in the $m$-Catalan arrangement ${\rm Cat}^m(A_n)$, where $m\in\mathbb{N}_{>0}$. In particular, the map which we define bijects facets containing the negative simple root $-\alpha$ to dominant regions having the hyperplane $\{v\in V\mid\left\langle v,\alpha \right\rangle=m\}$ as separating wall. As a result, it restricts to a bijection between the set of facets of the positive part of $\Delta^m(A_n)$ and the set of bounded dominant regions in ${\rm Cat}^m(A_n)$. Our map is a composition of two bijections in which integer partitions in an $m$-dilated $n$-staircase shape come into play.

scholarly journals Derivations of the Positive Part of the Two-parameter Quantum Group of Type G2

2021 ◽  
Vol 37 (9) ◽  
pp. 1471-1484
Author(s):  
Yong Yue Zhong ◽  
Xiao Min Tang
Keyword(s):  
Quantum Group ◽  
Positive Part ◽  
Two Parameter

Büchner, Friedrich Karl Christian Ludwig (Louis) (1824–99)

2018 ◽  
Author(s):  
Michael Heidelberger
Keyword(s):  
Nineteenth Century ◽  
Empirical Science ◽  
Human Beings ◽  
Positive Part

Ludwig Büchner wrote one of the most popular and polemical books of the strong materialist movement in later nineteenth century Germany, his Kraft und Stoff (Force and Matter) (1855). He tried to develop a comprehensive worldview, which was based solely on the findings of empirical science and did not take refuge in religion or any other transcendent categories in explaining nature and its development, including human beings. When Büchner tried to expose the backwardness of traditional philosophical and religious views in scientific matters, his arguments had some force, but the positive part of his programme was not free of superficiality and naivety. Büchner’s writings helped to strengthen progressive and rational traditions inside and outside philosophy, but they can also serve as the prime example of the uncritical nineteenth-century belief in science’s capacity to redeem humankind from all evil.

Generic Extensions and Canonical Bases for Cyclic Quivers

2007 ◽  
Vol 59 (6) ◽  
pp. 1260-1283 ◽  
Author(s):  
Bangming Deng ◽  
Jie Du ◽  
Jie Xiao
Keyword(s):  
Hall Algebra ◽  
Quiver Representations ◽  
Algebraic Construction ◽  
Positive Part ◽  
Monomial Basis ◽  
Canonical Bases ◽  
Generic Extensions ◽  
Cyclic Quiver

AbstractWe use the monomial basis theory developed by Deng and Du to present an elementary algebraic construction of the canonical bases for both the Ringel–Hall algebra of a cyclic quiver and the positive part U+of the quantum affine. This construction relies on analysis of quiver representations and the introduction of a new integral PBW–like basis for the Lusztig ℤ[v,v–1]-form of U+.

scholarly journals The alternating PBW basis for the positive part of Uq(sl^2)

2019 ◽  
Vol 60 (7) ◽  
pp. 071704
Author(s):  
Paul Terwilliger
Keyword(s):  
Positive Part ◽  
Pbw Basis

scholarly journals Creating a successful name (based on psycholinguistic experiments)

2019 ◽  
Vol 69 ◽  
pp. 00137
Author(s):  
Khurshida Zakirova ◽  
Mariya Zakharova-Sarovskaya ◽  
Alexandra Zakharova
Keyword(s):  
Association Analysis ◽  
Native Speakers ◽  
Free Association ◽  
Positive Part ◽  
Generation Stage

On the basis of receptive and free association experiments were established peculiarities of perception of typical and creative names, the leading criteria for the recipients’ perception were determined, and the criteria for evaluating a successful name were proposed. The identified criteria correlate with the principles and conditions for creating a successful name. Successful is the name, which, according to the results of the receptive experiment, assessed by the recipients in the positive part on most scales, while the motives, functions and purposes of the ergonym established at the generation stage, different for standard and non-standard names, are realized with the help of clear means of marking for native speakers of Russian; and according to the association analysis results, they contain semantic zones corresponding to the profile of the company activity and do not reveal sharply negative assessments and reactions associated with incomprehensibility.

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