A Note on Integral Structures in Some Locally Algebraic Representations of GL2

Author(s):  
Yong Quan Hu
Author(s):  
R. H. EGGERMONT ◽  
A. SNOWDEN

AbstractDraisma recently proved that polynomial representations of GL∞ are topologically noetherian. We generalize this result to algebraic representations of infinite rank classical groups.


2021 ◽  
Vol 43 (2) ◽  
pp. 1-55
Author(s):  
Bernardo Toninho ◽  
Nobuko Yoshida

This work exploits the logical foundation of session types to determine what kind of type discipline for the Λ-calculus can exactly capture, and is captured by, Λ-calculus behaviours. Leveraging the proof theoretic content of the soundness and completeness of sequent calculus and natural deduction presentations of linear logic, we develop the first mutually inverse and fully abstract processes-as-functions and functions-as-processes encodings between a polymorphic session π-calculus and a linear formulation of System F. We are then able to derive results of the session calculus from the theory of the Λ-calculus: (1) we obtain a characterisation of inductive and coinductive session types via their algebraic representations in System F; and (2) we extend our results to account for value and process passing, entailing strong normalisation.


2016 ◽  
Vol 6 (4) ◽  
pp. 25 ◽  
Author(s):  
Nauman Al Amin Ali

Manifest intertextuality is a fundamental aspect of all academic discourse, and, hence, this study purports to explorethe myriad functions of citation in a representative and contrastive corpus drawn from 20 Literature Review chaptersin the domain of Applied Linguistics, and equally divided among Ph.D. theses successfully defended in Sudan andBritain. A variety of typologies were utilized to elicit citations, including Thompson’s (2005) classification ofintegral and non-integral citations, together with Hyland’s (2002) designation of denotative and evaluative functionsassociated with reporting verbs. Groom’s (2000) and Petric’s (2007) notions of averral and attribution, propositionalresponsibility and knowledge transformation also inform this investigation. Results indicate that the densedeployment of citations and the predilection both corpora have for integral structures, verbatim quotations andpresent active Discourse reporting verbs are largely dictated by the discursive and human-imbued nature of AppliedLinguistics. On the other hand, the findings reveal that Sudanese candidates formally and functionally employcitations in manners markedly different from their British peers. Thus, the Sudanese corpus is characterized byblatant errors, repetition and awkwardness in both documenting sources and reporting the findings of research.Moreover, naïve unwarranted quotations and authorial evaluations were ubiquitously observed, as compared to theBritish corpus. More significantly, there were ample variations in the way in which the two groups conceive of therole of the Literature Review. While the British adopted a range of Writer-oriented and metadiscoursal strategies toamalgamate and integrate the cited materials within their mainstream arguments, the Sudanese candidates werestrictly concerned with unmediated and uncontested attribution of ideas to their authors. Such is the synthetic natureof the resultant type of this Literature Review that the writer’s textual voice is submerged under the sheer burden ofsuccessive descriptive citations, thus eclipsing almost all of the objectives of this chapter in critiquing sources andsubordinating the cited literature to the overarching transformative perspective of the thesis writer. The Discussion isilluminated through extensive quotations from the two corpora.


ZDM ◽  
2010 ◽  
Vol 42 (6) ◽  
pp. 607-619 ◽  
Author(s):  
Michael O. J. Thomas ◽  
Anna J. Wilson ◽  
Michael C. Corballis ◽  
Vanessa K. Lim ◽  
Caroline Yoon

1995 ◽  
Vol 59 (5) ◽  
pp. 881-897 ◽  
Author(s):  
V E Voskresenskii ◽  
T V Fomina

2021 ◽  
pp. 1-56
Author(s):  
Brandon Prickett

Abstract Since Halle (1962), explicit algebraic variables (often called alpha notation) have been commonplace in phonological theory. However, Hayes and Wilson (2008) proposed a variable-free model of phonotactic learning, sparking a debate about whether such algebraic representations are necessary to capture human phonological acquisition. While past experimental work has found evidence that suggested a need for variables in models of phonology (Berent et al. 2012, Moreton 2012, Gallagher 2013), this paper presents a novel mechanism, Probabilistic Feature Attention (PFA), that allows a variable-free model of phonotactics to predict a number of these phenomena. Additionally, experimental results involving phonological generalization that cannot be explained by variables are captured by this novel approach. These results cast doubt on whether variables are necessary to capture human-like phonotactic learning and provide a useful alternative to such representations.


1953 ◽  
Vol 57 (508) ◽  
pp. 215-227 ◽  
Author(s):  
E. D. Keen

There has been considerable activity of recent years, particularly in America, in the field of integral structures for aircraft.The fundamental problem in aircraft structures is to make a relatively thin skin covering take applied compression, shear and bending loads. This has been achieved so far by the attachment of stiffeners, but this requires a large amount of riveting which in itself causes structural inefficiency and also spoils the smoothness of the skin, particularly when laminar flow is desired. Metal gluing shows great advantages over riveting in this respect but it is doubtful whether the bond strength will be great enough to attach very heavy stringers to very thick sheet. Where structural loadings become higher the required thickness of sheet and stringers may make the continued use of riveting difficult, if not impossible.


2012 ◽  
Vol 18 (3) ◽  
pp. 140-143
Author(s):  
Natalya Vinogradova

This method emphasizes the strong connections between geometric and algebraic representations.


1992 ◽  
Vol 28 (3) ◽  
pp. 219-252 ◽  
Author(s):  
O. E. Barndorff-Nielsen ◽  
P. Bl�sild ◽  
A. L. Carey ◽  
P. E. Jupp ◽  
M. Mora ◽  
...  

2019 ◽  
Vol 156 (1) ◽  
pp. 158-178
Author(s):  
Uri Bader ◽  
Alex Furman

We prove a super-rigidity result for algebraic representations over complete fields of irreducible lattices in products of groups and lattices with dense commensurator groups. We derive criteria for the non-linearity of such groups.


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