Search results for "VARIETY"
showing 10 items of 569 documents
Almost polynomial growth: Classifying varieties of graded algebras
2015
Let G be a finite group, V a variety of associative G-graded algebras and c (V), n = 1, 2, …, its sequence of graded codimensions. It was recently shown by Valenti that such a sequence is polynomially bounded if and only if V does not contain a finite list of G-graded algebras. The list consists of group algebras of groups of order a prime number, the infinite-dimensional Grassmann algebra and the algebra of 2 × 2 upper triangular matrices with suitable gradings. Such algebras generate the only varieties of G-graded algebras of almost polynomial growth, i.e., varieties of exponential growth such that any proper subvariety is polynomially bounded. In this paper we completely classify all sub…
Start Making Sense
2018
In this second section, focus will be given the Kristiansand Roundtable Conference and the dialogues and data that this book builds upon. Throughout this part, extracts and quotations will be taken from conferences to exemplify and illustrate issues that will be further discussed in the text. The Kristiansand Roundtable Conference provides a rare opportunity to follow the difficult discussions among key stakeholders within and outside the music industries, as they try to make sense of the current situation, the different options on the table, as well as the opposing and conflicting agendas. The dialogues and discussions display a complex matrix of different interests and agendas, illuminati…
Recent Advances in Security and Privacy for Future Intelligent Networks
2020
The articles in this special section focus on recent advances in security and privacy for future intelligent networks. Recent booming advancements in networking techniques have led to an evolution toward future intelligent networks (FINs). This trend takes place under a circumstance in which a great number of devices are connected for specific purposes by a variety of novel techniques. In FINs, we envision the benefits of integrating intelligence into networks. Contemporarily, these emerging techniques are still at the exploration stage, leaving many privacy and security challenges unaddressed. Existing researchers have already uncovered a great amount of attacks and threats. The situation …
LEGAL COMMENTS IN RELATION TO THE LATGALIAN WRITING LANGUAGE AS A HISTORICAL VARIETY OF LATVIAN
2012
<p>The paper is aimed at provision of legal assessment of the Latgalian language as a variant of Latvian, using mainly the analytical and historical method.</p><p>Notwithstanding the fact that the Official Language Law recognizes that the Latgalian language is a variant of the Latvian language, there is no absolute clarity with regard to the status of this language and its practical use in formal communication. Also the attitude from public authorities is inexcusably inappropriate – as far as declaring the Latgalian language to be a foreign language. However, from historical point of view the Latgalian language was recognised and applied in official communication, includin…
Classification of varieties for their timing of flowering and veraison using a modelling approach: A case study for the grapevine species Vitis vinif…
2013
16 pages; International audience; tUnderstanding differences in phenology for varieties of a given species is important for making informeddecisions on variety choice in the context of climate change and breeding new cultivars. Phenologicalmodels that incorporate temperature as a key environmental factor can be used to describe the differencesin phenological timing between cultivars. This paper outlines a methodology, based on a phenologicalmodel, for classifying the timing of flowering and veraison for a substantial number of varieties of thegrapevine (Vitis vinifera L.). 95 varieties were characterized for flowering and 104 varieties for veraison.Various statistical measures were used to …
Albanese Maps and Fundamental Groups of Varieties With Many Rational Points Over Function Fields
2020
We investigate properties of the Albanese map and the fundamental group of a complex projective variety with many rational points over some function field, and prove that every linear quotient of the fundamental group of such a variety is virtually abelian, as well as that its Albanese map is surjective, has connected fibres, and has no multiple fibres in codimension one.
Duality, projectivity, and unification in Łukasiewicz logic and MV-algebras
2013
AbstractWe prove that the unification type of Łukasiewicz (infinite-valued propositional) logic and of its equivalent algebraic semantics, the variety of MV-algebras, is nullary. The proof rests upon Ghilardiʼs algebraic characterisation of unification types in terms of projective objects, recent progress by Cabrer and Mundici in the investigation of projective MV-algebras, the categorical duality between finitely presented MV-algebras and rational polyhedra, and, finally, a homotopy-theoretic argument that exploits lifts of continuous maps to the universal covering space of the circle. We discuss the background to such diverse tools. In particular, we offer a detailed proof of the duality …
Assessing the Performance of Interactive Multiobjective Optimization Methods
2021
Interactive methods are useful decision-making tools for multiobjective optimization problems, because they allow a decision-maker to provide her/his preference information iteratively in a comfortable way at the same time as (s)he learns about all different aspects of the problem. A wide variety of interactive methods is nowadays available, and they differ from each other in both technical aspects and type of preference information employed. Therefore, assessing the performance of interactive methods can help users to choose the most appropriate one for a given problem. This is a challenging task, which has been tackled from different perspectives in the published literature. We present a …
Transmediating argumentation : Students composing across written essays and digital videos in higher education
2016
This comparative study examined how university students built an argument in written essays and multimodal digital videos, and how their argumentation transmediated across these two mediums. Data analysis involved 1) analysis of content in both written essays and digital videos; 2) the development of transmediation visualizations to elucidate how ideas were transformed from essays into videos; and 3) multimodal analysis to understand the communicative affordances and constrains for argumentation with each medium. The findings revealed that the most common type of content in both essays and videos was supportive argumentation; however, the videos did not include any counter-argumentation. St…
Classifying G-graded algebras of exponent two
2019
Let F be a field of characteristic zero and let $$\mathcal{V}$$ be a variety of associative F-algebras graded by a finite abelian group G. If $$\mathcal{V}$$ satisfies an ordinary non-trivial identity, then the sequence $$c_n^G(\mathcal{V})$$ of G-codimensions is exponentially bounded. In [2, 3, 8], the authors captured such exponential growth by proving that the limit $$^G(\mathcal{V}) = {\rm{lim}}_{n \to \infty} \sqrt[n]{{c_n^G(\mathcal{V})}}$$ exists and it is an integer, called the G-exponent of $$\mathcal{V}$$ . The purpose of this paper is to characterize the varieties of G-graded algebras of exponent greater than 2. As a consequence, we find a characterization for the varieties with …