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The introduction of the categorical notion of closure operators has unified various important notions and has led to interesting examples and applications in diverse areas of mathematics (see for example, Dikranjan and Tholen (\cite{DT})).…

Category Theory · Mathematics 2010-10-22 Joaquin Luna-Torres , Carlos Orlando Ochoa C

We present a property satisfied by a large variety of complex continued fraction algorithms (the "finite building property") and use it to explore the structure of bijectivity domains for natural extensions of Gauss maps. Specifically, we…

Dynamical Systems · Mathematics 2019-11-06 Adam Abrams

It is proved that tight closure commutes with localization in any domain which has a module finite extension in which tight closure is known to commute with localization. It follows that tight closure commutes with localization in binomial…

Commutative Algebra · Mathematics 2007-05-23 Karen E. Smith

We study the properties of different type of transforms by means of operational methods and discuss the relevant interplay with many families of special functions. We consider in particular the binomial transform and its generalizations. A…

Mathematical Physics · Physics 2010-10-11 G. Dattoli , E. Sabia

The advent of large-scale, complex computing systems has dramatically increased the difficulties of securing accesses to systems' resources. To ensure confidentiality and integrity, the exploitation of access control mechanisms has thus…

Software Engineering · Computer Science 2015-08-18 Andrea Margheri , Rosario Pugliese , Francesco Tiezzi

We study the combinatorial and structural properties of the circle map sequences. We introduce an embedding procedure which gives a map from the hull(closure of the set of translates) to the sequence of embedding operations through which we…

Combinatorics · Mathematics 2009-02-04 Fumihiko Nakano

Rice's theorem shows that nontrivial extensional properties of partial recursive functions are undecidable. For finite weighted Boolean optimization/CSP-style slices, a Rice-style structural analogue holds for tractability classification:…

Computational Complexity · Computer Science 2026-05-28 Tristan Simas

A remarkable property of nastic, shape changing plants is their complete fusion between actuators and structure. This is achieved by combining a large number of cells whose geometry, internal pressures and material properties are optimized…

Quantitative Methods · Quantitative Biology 2015-07-20 Markus Pagitz , Manuel Pagitz , C. Hühne

We construct models in which there are stationarily many structures that exhibit different variants of internal approachability at different levels. This answers a question of Foreman. We also show that the approachability property at $\mu$…

Logic · Mathematics 2024-04-30 Hannes Jakob

We study several quantities associated to the Green's function of a multiply connected domain in the complex plane. Among them are some intrinsic properties such as geodesics, curvature, and $L^2$-cohomology of the capacity metric and…

Complex Variables · Mathematics 2016-05-17 Diganta Borah , Pranav Haridas , Kaushal Verma

Modular and reconfigurable robotic systems have been designed to provide a customized solution for the non-repetitive tasks to be performed in a constrained environment. Customized solutions are normally extracted from task-based…

Robotics · Computer Science 2021-11-02 Anubhav Dogra , Sakshay Mahna , Srikant Sekhar Padhee , Ekta Singla

Reconfiguration paths express sequences of successive reconfiguration operations within a component-based approach allowing dynamic reconfigurations. We use constructs from regular expressions-pin particular, alternatives-to introduce…

Software Engineering · Computer Science 2017-03-22 Jean-Michel Hufflen

We exhibit a connection between two constructions of twisted modules for a general vertex operator algebra with respect to inner automorphisms. We also study pseudo-derivations, pseudo-endomorphisms, and twist deformations of ordinary…

Quantum Algebra · Mathematics 2010-04-07 Haisheng Li

Most distributed storage systems provide limited abilities for querying data by attributes other than their primary keys. Supporting efficient search on secondary attributes is challenging as applications pose varying requirements to query…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-03-13 Dimitrios Vasilas , Marc Shapiro , Bradley King

The notion of cosilting module was recently introduced as a generalization of the concept of cotilting module. In this paper, it is introduced the notion of finitely cosilting module, i.e. a cosilting module with some finitness conditions,…

Rings and Algebras · Mathematics 2017-12-05 Flaviu Pop

The theory of operads (May, cyclic, modular, PROPs, etc) is extended to include higher dimensional phenomena, i.e. operations between operations, mimicking the algebraic structure on varieties of arbitrary dimensions, having marked…

Quantum Algebra · Mathematics 2010-12-16 Dennis Borisov

This paper presents methods for using zonotopes and constrained zonotopes to improve the practicality of a wide variety of set-based operations commonly used in control theory. The proposed methods extend the use of constrained zonotopes to…

Systems and Control · Electrical Eng. & Systems 2020-09-15 Vignesh Raghuraman , Justin P. Koeln

As recent trends in manufacturing engineering disciplines show a clear development in the sustainable as well as economically efficient design of forming processes, monitoring techniques have been gaining in relevance. In terms of…

We extend the shell and kernel reductions for hyperexponential functions over the field of rational functions to a monomial extension. Both of the reductions are incorporated into one algorithm. As an application, we present an additive…

Symbolic Computation · Computer Science 2023-10-03 Shaoshi Chen , Hao Du , Yiman Gao , Ziming Li

We relate the analytic spread of a module expressed as the direct sum of two submodules with the analytic spread of its components. We also study a class of submodules whose integral closure can be obtained by means of a simple computer…

Commutative Algebra · Mathematics 2020-11-04 Carles Bivià-Ausina , Jonathan Montaño
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