scholarly journals Rational Dyck Paths in the Non Relatively Prime Case

10.37236/6901 ◽  
2017 ◽  
Vol 24 (3) ◽  
Author(s):  
Eugene Gorsky ◽  
Mikhail Mazin ◽  
Monica Vazirani
Keyword(s):  
Knot Invariants ◽  
Dyck Paths ◽  
Springer Fibers ◽  
The Relationship ◽  
Prime Case

We study the relationship between rational slope Dyck paths and invariant subsets of $\mathbb{Z},$ extending the work of the first two authors in the relatively prime case. We also find a bijection between $(dn,dm)$–Dyck paths and $d$-tuples of $(n,m)$-Dyck paths endowed with certain gluing data. These are the first steps towards understanding the relationship between rational slope Catalan combinatorics and the geometry of affine Springer fibers and knot invariants in the non relatively prime case.

scholarly journals Rational Dyck Paths in the Non Relatively Prime Case

2020 ◽  
Vol DMTCS Proceedings, 28th... ◽  
Author(s):  
Eugene Gorsky ◽  
Mikhail Mazin ◽  
Monica Vazirani
Keyword(s):  
Representation Theory ◽  
Dyck Paths ◽  
International Audience ◽  
Springer Fibers ◽  
The Relationship ◽  
Prime Case

International audience We study the relationship between rational slope Dyck paths and invariant subsets in Z, extending the work of the first two authors in the relatively prime case. We also find a bijection between (dn, dm)–Dyck paths and d-tuples of (n, m)-Dyck paths endowed with certain gluing data. These are first steps towards understanding the relationship between the rational slope Catalan combinatorics in non relatively prime case and the geometry of affine Springer fibers and representation theory.

Raising crosscap number while lowering unknotting number

2020 ◽  
Vol 29 (05) ◽  
pp. 2050030 ◽  
Author(s):  
A. Kerian
Keyword(s):  
Knot Invariants ◽  
The Relationship ◽  
Orientable Surfaces

We explore the relationship between two knot invariants, unknotting number and crosscap number. Specifically, we present two infinite families of knots with a specific crossing change that lowers the unknotting number while raising the crosscap number. One of these families is hyperbolic. This is a non-orientable parallel of Scharlemann and Thompson’s 1988 result for orientable surfaces.

scholarly journals Amway as Neoliberal Religious Tradition

Religions ◽  
2021 ◽  
Vol 12 (9) ◽  
pp. 703
Author(s):  
Michael Laminack
Keyword(s):  
Religious Tradition ◽  
Religious Practices ◽  
Religious Traditions ◽  
Political Theories ◽  
Neoliberal Ideology ◽  
Critical Theology ◽  
The Relationship ◽  
American Evangelicalism ◽  
Prime Case

Why do people desire their own continued oppression under neoliberalism? This essay seeks an answer to this confounding question through analysis of the Amway organization, an American multi-level-marketing (MLM) company that rose to a multi-billion dollar value in the 1980s and 90s. My argument is that Amway serves as a prime case study for the relation between neoliberalism and religious practices––people desire their continued oppression under neoliberalism in part because neoliberalism bears meaning at the level of culture and religion. What sets Amway apart from other MLMs, and makes Amway a prime case study for neoliberalism and religious practices, is its amalgamation of neoliberal ideology with ideas and trends from American evangelicalism, to the extent that it serves as a kind of neoliberal religious tradition. As this amalgamation demonstrates, people may defend neoliberalism with a similar fervor as defending cultural or religious traditions. The conclusion explores the possibility of a decolonial American evangelicalism, which would seek options for broadening the horizons of American evangelicalism beyond the relationship to neoliberalism and the possibility of a critical theology robust enough to thoughtfully critique neoliberalism. In pursuit of this thesis, the essay utilizes a theoretical framework guided by the contributions of scholars including Wendy Brown, Walter Benjamin, Olivier Roy, Walter Mignolo, and Carl Raschke in order to analyze Amway through the lens of contemporary political theories of neoliberalism.

VASSILIEV KNOT INVARIANTS COMING FROM LIE ALGEBRAS AND 4-INVARIANTS

2001 ◽  
Vol 10 (01) ◽  
pp. 161-169 ◽  
Author(s):  
E. SOBOLEVA
Keyword(s):  
Lie Algebra ◽  
Lie Algebras ◽  
Finite Order ◽  
Adjacency Matrix ◽  
Weight System ◽  
Knot Invariants ◽  
The Relationship

We study the 4-bialgebra of graphs and the bialgebra of 4-invariants introduced by S. K. Lando. Our main goal is the investigation of the relationship between 4-invariants of graphs and weight systems arising in the theory of finite order invariants of knots. In particular, we show that the corank of the adjacency matrix of a graph leads to the weight system coming from the defining representation of the Lie algebra gl(N).

scholarly journals Stripping the Body in Contemporary Popular Media: The Value of (un)dressing in American Telefantasy

2012 ◽  
Vol 5 (2) ◽  
Author(s):  
Manjree Khajanchi
Keyword(s):  
Science Fiction ◽  
The Body ◽  
Popular Media ◽  
Academic Literature ◽  
Research Perspectives ◽  
Dress And Identity ◽  
The Aesthetic ◽  
The Relationship ◽  
Influence Perceptions ◽  
Prime Case

Research perspectives on identity and the relationship between dress and body have been frequently studied in recent years (Eicher and Roach-Higgins, 1992; Roach-Higgins and Eicher, 1992; Entwistle, 2003; Svendsen, 2006). This paper will make use of specific and detailed examples from the television programmes Once Upon a Time (2011- ), Falling Skies (2011- ), Fringe (2008- ) and Game of Thrones (2011- ) to discover the importance of dressing and accessorizing characters to create humanistic identities in Science Fiction and Fantastical universes. These shows are prime case studies of how the literal dressing and undressing of the body, as well as the aesthetic creation of television worlds (using dress as metaphor), influence perceptions of personhood within popular media programming. These four shows will be used to examine three themes in this paper: (1) dress and identity, (2) body and world transformations, and (3) (non-)humanness. The methodological framework of this article draws upon existing academic literature on dress and society, combined with textual analysis of the aforementioned Telefantasy shows, focussing primarily on the three themes previously mentioned. This article reveals the role transformations of the body and/or the world play in American Telefantasy, and also investigates how human and near-human characters and settings are fashioned. This will invariably raise questions about what it means to be human, what constitutes belonging to society, and the connection that dress has to both of these concepts.

Quantum groups and representations of monoidal categories

1990 ◽  
Vol 108 (2) ◽  
pp. 261-290 ◽  
Author(s):  
David N. Yettera
Keyword(s):  
Quantum Groups ◽  
Hopf Algebras ◽  
Quantum Field Theories ◽  
Monoidal Categories ◽  
Knot Invariants ◽  
Intimate Relation ◽  
Relationship Of ◽  
Tannaka Duality ◽  
The Relationship

This paper is intended to make explicit some aspects of the interactions which have recently come to light between the theory of classical knots and links, the theory of monoidal categories, Hopf-algebra theory, quantum integrable systems, the theory of exactly solvable models in statistical mechanics, and quantum field theories. The main results herein show an intimate relation between representations of certain monoidal categories arising from the study of new knot invariants or from physical considerations and quantum groups (that is, Hopf algebras). In particular categories of modules and comodules over Hopf algebras would seem to be much more fundamental examples of monoidal categories than might at first be apparent. This fundamental role of Hopf algebras in monoidal categories theory is also manifest in the Tannaka duality theory of Deligne and Mime [8a], although the relationship of that result and the present work is less clear than might be hoped.

Interstellar gas in the central region of the Galaxy

1967 ◽  
Vol 31 ◽  
pp. 239-251 ◽  
Author(s):  
F. J. Kerr
Keyword(s):  
Central Region ◽  
Galactic Plane ◽  
Neutral Hydrogen ◽  
Continuum Emission ◽  
Galactic Centre ◽  
Interstellar Gas ◽  
Hydrogen Recombination ◽  
The Galaxy ◽  
Centre Region ◽  
The Relationship

A review is given of information on the galactic-centre region obtained from recent observations of the 21-cm line from neutral hydrogen, the 18-cm group of OH lines, a hydrogen recombination line at 6 cm wavelength, and the continuum emission from ionized hydrogen.Both inward and outward motions are important in this region, in addition to rotation. Several types of observation indicate the presence of material in features inclined to the galactic plane. The relationship between the H and OH concentrations is not yet clear, but a rough picture of the central region can be proposed.

The relationship of the scleractinian corals to the rugose corals

Paleobiology ◽  
1980 ◽  
Vol 6 (02) ◽  
pp. 146-160 ◽  
Author(s):  
William A. Oliver
Keyword(s):  
Critical Points ◽  
Scleractinian Corals ◽  
Convincing Evidence ◽  
Early Triassic ◽  
Rugose Corals ◽  
History Of ◽  
The Subject ◽  
Relationship Of ◽  
The Relationship ◽  
Biologic Factors

The Mesozoic-Cenozoic coral Order Scleractinia has been suggested to have originated or evolved (1) by direct descent from the Paleozoic Order Rugosa or (2) by the development of a skeleton in members of one of the anemone groups that probably have existed throughout Phanerozoic time. In spite of much work on the subject, advocates of the direct descent hypothesis have failed to find convincing evidence of this relationship. Critical points are:(1) Rugosan septal insertion is serial; Scleractinian insertion is cyclic; no intermediate stages have been demonstrated. Apparent intermediates are Scleractinia having bilateral cyclic insertion or teratological Rugosa.(2) There is convincing evidence that the skeletons of many Rugosa were calcitic and none are known to be or to have been aragonitic. In contrast, the skeletons of all living Scleractinia are aragonitic and there is evidence that fossil Scleractinia were aragonitic also. The mineralogic difference is almost certainly due to intrinsic biologic factors.(3) No early Triassic corals of either group are known. This fact is not compelling (by itself) but is important in connection with points 1 and 2, because, given direct descent, both changes took place during this only stage in the history of the two groups in which there are no known corals.

Choosing a Markov blanket

2020 ◽  
Vol 43 ◽  
Author(s):  
Thomas Parr
Keyword(s):  
Markov Blanket ◽  
Target Article ◽  
The Relationship

Abstract This commentary focuses upon the relationship between two themes in the target article: the ways in which a Markov blanket may be defined and the role of precision and salience in mediating the interactions between what is internal and external to a system. These each rest upon the different perspectives we might take while “choosing” a Markov blanket.

Tinkering with cognitive gadgets: Cultural evolutionary psychology meets active inference

2019 ◽  
Vol 42 ◽  
Author(s):  
Paul Benjamin Badcock ◽  
Axel Constant ◽  
Maxwell James Désormeau Ramstead
Keyword(s):  
Evolutionary Psychology ◽  
Research Program ◽  
Active Inference ◽  
Innovative Research ◽  
Cognitive Faculties ◽  
Cultural Evolutionary ◽  
The Relationship

Abstract Cognitive Gadgets offers a new, convincing perspective on the origins of our distinctive cognitive faculties, coupled with a clear, innovative research program. Although we broadly endorse Heyes’ ideas, we raise some concerns about her characterisation of evolutionary psychology and the relationship between biology and culture, before discussing the potential fruits of examining cognitive gadgets through the lens of active inference.

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