scholarly journals Non-torsion non-algebraic classes in the Brown–Peterson tower

Author(s):  
MASAKI KAMEKO

Abstract Generalising the classical work of Atiyah and Hirzebruch on non-algebraic classes, recently Quick proved the existence of torsion non-algebraic elements in the Brown–Peterson tower. We construct non-torsion non-algebraic elements in the Brown–Peterson tower for the prime number 2.

Author(s):  
Roderick Murray-Smith

This chapter reviews the role of theory and dynamic systems theory for understanding common interaction techniques including: targetting, trajectory generation, panning, scrolling and zooming. It explains how can be seen to be at the foundations of Human–Computer Interaction and might be essential for making progress in novel forms of interface. It reinterprets Fitts’ classical work with theoretic tools. It also highlights the limitations of theory for design of human–computer loops.


Religions ◽  
2021 ◽  
Vol 12 (1) ◽  
pp. 48
Author(s):  
Philip Smith ◽  
Florian Stoll

This paper calls for a broad conception of sacrifice to be developed as a resource for cultural sociology. It argues the term was framed too narrowly in the classical work of Hubert and Mauss. The later approach of Bataille permits a maximal understanding of sacrifice as non-utilitarian expenditures of money, energy, passion and effort directed towards the experience of transcendence. From this perspective, pilgrimage can be understood as a specific modality of sacrificial activity. This paper applies this understanding of sacrifice and pilgrimage to the annual Bayreuth “Wagner” Festival in Germany. Drawing on a multi-year mixed-methods study involving ethnography, semi-structured interviews and historical research, the article traces sacrificial expenditures at the level of individual festival attendees. These include financial costs, arduous travel, dedicated research of the artworks, and disciplines of the body. Some are lucky enough to experience transcendence in the form of deep emotional experience, and a sense of contact with sacred spaces and forces. Our study is intended as an exemplary paradigm case that can be drawn upon analogically by scholars. We suggest that other aspects of social experience, including many that are more ‘everyday’, can be understood through a maximal model of sacrifice and that a rigorous, wider comparative sociology could be developed using this tool.


Author(s):  
Thomas Morrill ◽  
Dave Platt ◽  
Tim Trudgian

1965 ◽  
Vol 49 (369) ◽  
pp. 299
Author(s):  
T. Mitsopoulos
Keyword(s):  

Author(s):  
Jiuya Wang

AbstractElementary abelian groups are finite groups in the form of {A=(\mathbb{Z}/p\mathbb{Z})^{r}} for a prime number p. For every integer {\ell>1} and {r>1}, we prove a non-trivial upper bound on the {\ell}-torsion in class groups of every A-extension. Our results are pointwise and unconditional. This establishes the first case where for some Galois group G, the {\ell}-torsion in class groups are bounded non-trivially for every G-extension and every integer {\ell>1}. When r is large enough, the unconditional pointwise bound we obtain also breaks the previously best known bound shown by Ellenberg and Venkatesh under GRH.


Author(s):  
ALEXANDER GRISHKOV ◽  
LIUDMILA SABININA ◽  
EFIM ZELMANOV

Abstract We prove that for positive integers $m \geq 1, n \geq 1$ and a prime number $p \neq 2,3$ there are finitely many finite m-generated Moufang loops of exponent $p^n$ .


2017 ◽  
Vol 20 (6) ◽  
Author(s):  
Dan Rossi

AbstractFor a prime number


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