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"Coverings"
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The Existence of Designs via Iterative Absorption: Hypergraph 𝐹-designs for Arbitrary
2023
We solve the existence problem for
Our main result concerns decompositions of hypergraphs whose clique distribution fulfills certain regularity
constraints. Our argument allows us to employ a ‘regularity boosting’ process which frequently enables us to satisfy these constraints
even if the clique distribution of the original hypergraph does not satisfy them. This enables us to go significantly beyond the setting
of quasirandom hypergraphs considered by Keevash. In particular, we obtain a resilience version and a decomposition result for
hypergraphs of large minimum degree.
The power of pattern : interiors and inspiration : a resource guide
\"Presenting rooms by design stars such as Alessandra Branca, Miles Redd, Martyn Lawrence Bullard, and Mary McDonald, among others, The Power of Pattern teaches how to mix and match to make a house look effortlessly decorated. And Salk's encouraging design tips give inspirational ideas and practical tips, opening up a world of decorating creativity.\"--Provided by publisher.
Careers in roofing and flooring
by
Harmon, Daniel E., author
in
Roofing Vocational guidance Juvenile literature.
,
Flooring Vocational guidance Juvenile literature.
,
Building trades Vocational guidance Juvenile literature.
2016
Residential, commercial, and industrial roofing jobs and flooring carpentry tasks and materials, including green materials and the credentials needed for becoming a green roofer and floor installer, are investigated in this perceptive volume. Students learn about where to acquire basic carpentry skills and skills for using hand and power tools. Posthigh school courses and degrees in business management and engineering are advantageous for advancing to supervisory positions or starting a new business. Sidebars include an interview with a contractor, the licensing requirements for independent contractors, and how to go about constructing a roof of a complex home design.
Two types of coverings based multigranulation rough fuzzy sets and applications to decision making
2020
Covering based multigranulation rough fuzzy set, as a generalization of granular computing and covering based rough fuzzy set theory, is a vital tool for dealing with the vagueness and multigranularity in artificial intelligence and management sciences. By means of neighborhoods, we introduce two types of coverings based (optimistic, pessimistic and variable precision) multigranulation rough fuzzy set models, respectively. Some axiomatic systems are also obtained. The relationships between two types of coverings based (optimistic, pessimistic and variable precision) multigranulation rough fuzzy set models are established. Based on the theoretical discussion for the covering based multigranulation rough fuzzy set models, we present an approach to multiple criteria group decision making problem. These two types of basic models and the procedure of decision making methods as well as the algorithm for the new approach are given in detail. By comparative analysis, the ranking results based on two different models have a highly consensus. Although there exist some different ranking results on these two methods, the optimal selected alternative is the same.
Journal Article
Klein coverings over hyperelliptic genus 3 curves
2026
We characterize the moduli space of étale Klein coverings (i.e. Galois with deck group \\(Z_2^2\\)) of hyperelliptic curves of genus 3. We prove that the Prym map on each component is injective. As an application, we show that the Prym map of étale Klein coverings of genus 3 curves is generically finite.
A novel type of soft rough covering and its application to multicriteria group decision making
2019
In this paper, we contribute to a recent and successful modelization of uncertainty, which the practitioner often encounters in the formulation of multicriteria group decision making problems. To be precise, in order to approach the uncertainty issue we introduce a novel type of soft rough covering by means of soft neighborhoods, and then we use it to improve decision making in a multicriteria group environment. Our research method is as follows. Firstly we introduce the soft covering upper and lower approximation operators of soft rough coverings. Then its relationships with well-established types of soft rough coverings are analyzed. Secondly, we define and investigate the measure degree of our novel soft rough covering. With this tool we produce a new class of soft rough sets. Finally, we propose an application of such soft rough covering model to multicriteria group decision making by means of an algorithmic solution. A fully developed example supports the implementability of this decision making method.
Journal Article
Salem properties of Dvoretzky random coverings
2025
We establish the Salem properties for the uncovered sets in the celebrated Dvoretzky random coverings of the unit circle.
The breadth of constructibility degrees and definable Sierpiński's coverings
2025
Generalizing a result of Törnquist and Weiss, we study the connection between the existence of \\(_2^1\\) Sierpi\\'nski's coverings of \\(R^n\\), and a cardinal invariant of the upper semi-lattice of constructibility degrees known as breadth.