scholarly journals Non-hyperoctahedral Categories of Two-Colored Partitions Part II: All Possible Parameter Values

2021 ◽  
Author(s):  
Alexander Mang ◽  
Moritz Weber
Keyword(s):  
Present Article ◽  
Quantum Groups ◽  
Specific Class ◽  
Type Result ◽  
Colored Partitions ◽  
Parameter Values

AbstractThis article is part of a series with the aim of classifying all non-hyperoctahedral categories of two-colored partitions. Those constitute by some Tannaka-Krein type result the representation categories of a specific class of quantum groups. In Part I we introduced a class of parameters which gave rise to many new non-hyperoctahedral categories of partitions. In the present article we show that this class actually contains all possible parameter values of all non-hyperoctahedral categories of partitions. This is an important step towards the classification of all non-hyperoctahedral categories.

„A little Drama“ (G. M. Tucker)

2019 ◽  
Vol 63 (2) ◽  
pp. 195-219
Author(s):  
Alessandro Casagrande
Keyword(s):  
Present Article ◽  
Narrative Analysis ◽  
Literary Form ◽  
Third Party ◽  
Abrupt Shift ◽  
Mediated Discourse ◽  
Contextual Integration

Abstract The use of a narrative imperfect in Am 7:10–17 after 7:1–9 and the abrupt shift to 8:1–3 frequently compelled critics to determine its literary form. For diachronic studies defining classifications include ‘third-party report’ and ‘apophthegma’. By contrast, synchronic studies emphasize the contextual integration of Am 7:10–17 and concentrate on a narrative analysis. Within this focus it is striking, that the passage is often associated with a ‘drama’ but without assessing the methodological ramifications of such a claim. The present article takes this ‘synchronic gap’ up and relates it to approaches to view drama as a possible genre for prophetic books. In doing so, a reading of Am 7:10–17 as part of a narrator-mediated discourse using a dramatic mode shows that the passage can be deemed an entrance with three speeches integrated into the wider context of 7:1–8:3. Particularly the classification of 7:10a, 12aα, 14aα as narrator’s discourse using a dramatic mode makes this claim plausible.

scholarly journals On the singularity structure of Kahan discretizations of a class of quadratic vector fields

2021 ◽  
Author(s):  
René Zander
Keyword(s):  
Elliptic Curves ◽  
Vector Fields ◽  
Singularity Structure ◽  
Quadratic Vector Fields ◽  
Parameter Values

AbstractWe discuss the singularity structure of Kahan discretizations of a class of quadratic vector fields and provide a classification of the parameter values such that the corresponding Kahan map is integrable, in particular, admits an invariant pencil of elliptic curves.

scholarly journals On the classification of easy quantum groups

2013 ◽  
Vol 245 ◽  
pp. 500-533 ◽  
Author(s):  
Moritz Weber
Keyword(s):  
Quantum Groups

scholarly journals On order and prohibition

2021 ◽  
Author(s):  
Daniël Van Olmen
Keyword(s):  
Present Article ◽  
First Principle ◽  
Linguistic Evidence ◽  
Constituent Order

Abstract The present article examines the claim in the literature that the negative first principle, i.e. the preference for the order negation-verb to verb-negation, is stronger in negative imperatives (or prohibitives) than in negative declaratives. To test this hypothesis, we develop – in contrast to earlier research – a systematic, three-way classification of languages, which is also operationalized as a ranking capturing the overall level of strength of the principle. This classification is applied to a genealogically and geographically balanced sample of 179 languages. In addition, we consider the role of several factors known to correlate with the position of negation – like its form, constituent order and areality. However, no cross-linguistic evidence is found for any difference in negation’s position between negative imperatives and negative declaratives. We therefore conclude that the hypothesis should be rejected.

CLASSIFICATION OF MULTIVARIATE LIFE DISTRIBUTIONS BASED ON PARTIAL ORDERING

2002 ◽  
Vol 16 (1) ◽  
pp. 129-137 ◽  
Author(s):  
Dilip Roy
Keyword(s):  
Present Article ◽  
Failure Rate ◽  
Partial Ordering ◽  
Increasing Failure Rate ◽  
Multivariate Generalization ◽  
Partial Orderings ◽  
Life Distributions ◽  
New Better Than Used ◽  
Better Than

Barlow and Proschan presented some interesting connections between univariate classifications of life distributions and partial orderings where equivalent definitions for increasing failure rate (IFR), increasing failure rate average (IFRA), and new better than used (NBU) classes were given in terms of convex, star-shaped, and superadditive orderings. Some related results are given by Ross and Shaked and Shanthikumar. The introduction of a multivariate generalization of partial orderings is the object of the present article. Based on that concept of multivariate partial orderings, we also propose multivariate classifications of life distributions and present a study on more IFR-ness.

scholarly journals Classification of Quantum Groups via Galois Cohomology

2019 ◽  
Vol 377 (2) ◽  
pp. 1099-1129
Author(s):  
Eugene Karolinsky ◽  
Arturo Pianzola ◽  
Alexander Stolin
Keyword(s):  
Quantum Groups ◽  
Galois Cohomology

scholarly journals A FUNCTIONAL ROAD CLASSIFICATION WITH DATA MINING TECHNIQUES

Transport ◽  
2014 ◽  
Vol 29 (4) ◽  
pp. 419-430 ◽  
Author(s):  
Antonino D’Andrea ◽  
Claudio Cappadona ◽  
Gianluca La Rosa ◽  
Orazio Pellegrino
Keyword(s):  
Data Mining ◽  
Positive Impact ◽  
Geographical Location ◽  
Specific Class ◽  
Data Mining Techniques ◽  
The Road ◽  
The Individual ◽  
New Variables ◽  
Gis System

The current international road standards, in order to give organization and safety, promote the classification of roads according to their technical and functional characteristics beyond their administrative membership, but the procedures are yet strongly based on the expertise’s judgment. In fact, although this activity has a great importance for the consequences that produces in terms of responsibility and allocation of economic resources, it is solely based on the quantification of some variables without specifying methods or analytical procedures. In this paper, after an instrumental survey of the road environment, we applied data mining techniques that consider the ‘vagueness’ of the analysed scenario. The type of algorithms used, therefore, permits to quantify a degree of membership (among 0 and 1) of a road to the groupings provided and to prepare any corrective action in order to direct the final result towards a specific class with greater precision. In addition, this method is very flexible and willing to contain new variables or observations at different times with great easiness. Moreover, the geographical location of the individual observations, as it was done also in this research, can be transferred to a GIS system, with a positive impact on maintenance programs.

scholarly journals Classification of self-assembling protein nanoparticle architectures for applications in vaccine design

2017 ◽  
Vol 4 (4) ◽  
pp. 161092 ◽  
Author(s):  
G. Indelicato ◽  
P. Burkhard ◽  
R. Twarock
Keyword(s):  
Self Assembly ◽  
Vaccine Design ◽  
Building Blocks ◽  
Coiled Coils ◽  
Specific Class ◽  
Regular Graphs ◽  
Humoral Immune ◽  
Self Assembling ◽  
Display Systems

We introduce here a mathematical procedure for the structural classification of a specific class of self-assembling protein nanoparticles (SAPNs) that are used as a platform for repetitive antigen display systems. These SAPNs have distinctive geometries as a consequence of the fact that their peptide building blocks are formed from two linked coiled coils that are designed to assemble into trimeric and pentameric clusters. This allows a mathematical description of particle architectures in terms of bipartite (3,5)-regular graphs. Exploiting the relation with fullerene graphs, we provide a complete atlas of SAPN morphologies. The classification enables a detailed understanding of the spectrum of possible particle geometries that can arise in the self-assembly process. Moreover, it provides a toolkit for a systematic exploitation of SAPNs in bioengineering in the context of vaccine design, predicting the density of B-cell epitopes on the SAPN surface, which is critical for a strong humoral immune response.

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