scholarly journals Multiparameter Statistical Models from Braid Matrices: Explicit Eigenvalues of Transfer Matrices , Spin Chains, Factorizable Scatterings for All

2012 ◽  
Vol 2012 ◽  
pp. 1-21
Author(s):  
B. Abdesselam ◽  
A. Chakrabarti

For a class of multiparameter statistical models based on braid matrices, the eigenvalues of the transfer matrix are obtained explicitly for all . Our formalism yields them as solutions of sets of linear equations with simple constant coefficients. The role of zero-sum multiplets constituted in terms of roots of unity is pointed out, and their origin is traced to circular permutations of the indices in the tensor products of basis states induced by our class of matrices. The role of free parameters, increasing as withN, is emphasized throughout. Spin chain Hamiltonians are constructed and studied for allN. Inverse Cayley transforms of the Yang-Baxter matrices corresponding to our braid matrices are obtained for allN. They provide potentials for factorizableS-matrices. Main results are summarized, and perspectives are indicated in the concluding remarks.

2000 ◽  
Vol 22 (2) ◽  
pp. 209-228 ◽  
Author(s):  
John C. Paolillo

Felix (1988) claimed to demonstrate that UG-based knowledge of grammaticality causes nonnative speakers (NNSs) to have more accurate grammaticality judgments on sentences that are ungrammatical according to UG than on those that are grammatical. Birdsong (1994) criticized the methodology employed, noting that it ignores “response bias” (a propensity to judge sentences as ungrammatical) as a potential explanation. Felix and Zobl (1994) dismissed this criticism as merely methodological. In this paper, Birdsong's criticism is upheld by considering a statistical model of the data. At the same time, a more complete logistic regression model allows a fuller statistical analysis, revealing tentative support for the asymmetry claim, as well as differential learning states for different constructions and a tendency toward transfer avoidance. These theoretically significant effects were unnoticed in the earlier discussion of this research. For SLA research on grammaticality judgments to proceed fruitfully, appropriate statistical models need to be considered in designing the research.


2021 ◽  
Author(s):  
Petr Kaspar ◽  
Ivana Kolmasova ◽  
Ondrej Santolik ◽  
Martin Popek ◽  
Pavel Spurny ◽  
...  

<p><span>Sprites and halos are transient luminous events occurring above thunderclouds. They can be observed simultaneously or they can also appear individually. Circumstances leading to initiation of these events are still not completely understood. In order to clarify the role of lightning channels of causative lightning return strokes and the corresponding thundercloud charge structure, we have developed a new model of electric field amplitudes at halo/sprite altitudes. It consists of electrostatic and inductive components of the electromagnetic field generated by the lightning channel in free space at a height of 15 km. Above this altitude we solve Maxwell’s equations self-consistently including the nonlinear effects of heating and ionization/attachment of the electrons. At the same time, we investigate the role of a development of the thundercloud charge structure and related induced charges above the thundercloud. We show how these charges lead to the different distributions of the electric field at the initiation heights of the halos and sprites. We adjust free parameters of the model using observations of halos and sprites at the Nydek TLE observatory and using measurements of luminosity curves of the corresponding return strokes measured by an array of fast photometers. The latter measurements are also used to set the boundary conditions of the model.</span></p>


2020 ◽  
Vol 3 (7) ◽  
pp. 153-164 ◽  
Author(s):  
Hennadii Hulak

The components of ensuring the warranty of automated systems, which are subject to increased requirements in connection with their use in many sensitive areas of public activity, including national security and defense, critical industrial technologies, energy and communications, banking, environmental protection , technologies of legitimate distance learning, etc. Certain components can significantly affect the quality and reliability of information services in regulatory conditions. In particular, the special role of the functional security of the cryptographic subsystem in terms of supporting the performance of the automated system for its tasks and functions in general, as well as in terms of ensuring the confidentiality and integrity of information. The components of the cryptographic subsystem have been identified, the poor or incorrect operation of which negatively affects the security of these subsystems. The types of the most dangerous attacks on these subsystems are analyzed, their classification from the point of view of possibility of realization in modern scientific and technical conditions and depending on capacity of available computing means and technologies on the basis of which the most real and dangerous variant of realization of remote attacks on software implementation of cryptographic subsystem is defined. . Based on the analysis, a method for evaluating the quality of cryptographic transformations based on a modified algorithm for solving the problem of finding solutions of systems of linear equations with distorted right-hand parts using the so-called decoding based on "lists" of first-order "shortened" Reed-Muller codes is proved. the correctness of the proposed algorithm.


Author(s):  
David A. Baldwin

Despite the impressive amount of scholarly attention devoted to power analysis since World War II—and partially because of it—a number of questions remain unsettled or problematic. This chapter begins with a review of the fundamentals of power analysis, including the difference between relational and property concepts, the multiple dimensions of power, and the relevance of counterfactual conditions. It then considers twelve contentious “problems” in the power literature. These include theory-laden concepts, interests, essential contestability, zero-sum power, potential power, fungibility, intentions, measurement, reciprocal power, structural power, “power over” versus “power to,” and the role of costs in power analysis.


2021 ◽  
Vol 13 (2) ◽  
pp. 289-362
Author(s):  
Bruno Currie

Abstract This paper offers a reappraisal of the role of intertextuality in fifth-century BCE epinician poetry by means of a comparison with the role of intertextuality in all of early Greek hexameter poetry, ‘lyric epic’, and fifth-century BCE tragedy and comedy. By considering the ways in which performance culture as well as the production of written texts affects the prospects for intertextuality, it challenges a scholarly view that would straightforwardly correlate intertextuality in early Greek poetry with an increasing use and dissemination of written texts. Rather, ‘performance rivalry’ (a term understood to encompass both intra- and intergeneric competition between poetic works that were performed either on the same occasion or on closely related occasions) is identified as a plausible catalyst of intertextuality in all of the poetic genres considered, from the eighth or seventh century to the fifth century BCE. It is argued that fifth-century epinician poetry displays frequent, fine-grained, and allusive intertextuality with a range of early hexameter poetry: the Iliad, the poems of the Epic Cycle, and various ‘Hesiodic’ poems – poetry that in all probability featured in the sixth-fifth century BCE rhapsodic repertoire. It is also argued that, contrary to what is maintained in some recent Pindaric scholarship, there is no comparable case to be made for a frequent, significant, and allusive intrageneric intertextuality between epinician poems: in this respect, the case of epinician makes a very striking contrast with epic, tragedy, and comedy – poetic genres to which intrageneric intertextuality was absolutely fundamental. It is suggested that the presence or absence of intrageneric intertextuality in the genres in question is likely to be associated with the presence or absence of performance rivalry. A further factor identified as having the potential to inhibit intrageneric intertextuality in epinician is the undesirability of having one poem appear to be ‘bettered’ by another in a genre were all poems were commissioned to exalt individual patrons. This, again, is a situation that did not arise for epic, tragedy, or comedy, where a kind of competitive or ‘zero-sum’ intertextuality could be (and was) unproblematically embraced. Intertextuality in epinician thus appears to present a special case vis-à-vis the other major poetic genres of early Greece, whose workings can both be illuminated by consideration of the workings of intertextuality in epic, tragedy, and comedy, and can in turn illuminate something of the workings of intertextuality in those genres.


2020 ◽  
pp. 157-176
Author(s):  
Tobias Werron

This chapter elaborates how nationalism has long been underestimated in both sociological theory and globalization studies. It mentions sociological theorists who have theorized the role of nationalism in modernity and globalization literature, and who have tended to see globalization and nationalism as being in a zero-sum relationship. It also highlights a historical-sociological perspective on the nationalism–globalization nexus, which allows nationalism to be studied as a global institution. The chapter connects recent insights into inconspicuous 'banal' forms of nationalism to insights from globalization studies. It emphasizes two types of nationalism: 'institutionalized nationalism' and 'scarcity nationalism', showing how they have been reinforced by globalization dynamics and facilitated by the emergence of a global media system.


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