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This file proves the properties of the angle constraints and shows how to construct displacement constraints by various kinds of relative measurements.

Optimization and Control · Mathematics 2020-07-31 Xu Fang , Xiaolei Li , Lihua Xie

Meta-centralizers of non-locally compact group algebras are studied. Theorems about their representations with the help of families of generalized measures are proved. Isomorphisms of group algebras are investigated in relation with…

Rings and Algebras · Mathematics 2018-12-18 S. V. Ludkovsky

We study localizations of infinity categories that remain localizations after any base change.

Category Theory · Mathematics 2026-01-15 Vladimir Hinich

In this paper we introduce a very general setting dealing with the superposition of operators of any positive order and provide a systematic study of them. We also provide examples and counterexamples, as well as characterizing properties…

Analysis of PDEs · Mathematics 2025-10-10 Serena Dipierro , Sven Jarohs , Enrico Valdinoci

Given a pair of adjoint functors between two arbitrary categories it induces mutually inverse equivalences between the full subcategories of the initial ones, consisting of objects for which the arrows of adjunction are isomorphisms. We…

Category Theory · Mathematics 2009-10-22 George Ciprian Modoi

We study the cardinality of the set of manifolds homotopy equivalent to a given manifold M and compare it to the cardinality of the structure set of M.

Geometric Topology · Mathematics 2018-01-19 Diarmuid Crowley , Tibor Macko

We review how localization is used to probe holographic duality and, more generally, non-perturbative dynamics of four-dimensional N=2 supersymmetric gauge theories in the planar large-N limit.

High Energy Physics - Theory · Physics 2017-08-23 J. G. Russo , K. Zarembo

Localization of a set of nodes is an important and a thoroughly researched problem in robotics and sensor networks. This paper is concerned with the theory of localization from inner-angle measurements. We focus on the challenging case…

Robotics · Computer Science 2020-05-12 Frederike Dümbgen , Majed El Helou , Adam Scholefield

The purpose of this paper is to provide an introductory overview of the large cardinal hierarchy in set theory. By a large cardinal, we mean any cardinal $\kappa$ whose existence is strong enough of an assumption to prove the consistency of…

Logic · Mathematics 2022-05-05 Rohan Srivastava

We give a rigorous formulation of the intuitive idea that a differentiable map should be thesame thing as a locally, or infinitesimally, linear map: just as a linear map respects the operations of addition and multiplication by scalars ina…

Category Theory · Mathematics 2015-07-24 Wolfgang Bertram

The use of the so-called entropic inequalities is revisited in the light of new quantum correlation measures, specially nonlocality. We introduce the concept of {\it classicality} as the non-violation of these classical inequalities by…

Quantum Physics · Physics 2015-05-14 J. Batle , Mahmoud Abdel-Aty , C. H. Raymond Ooi , S. Abdalla , Y. Al-hedeethi

Given a thick subcategory of a triangulated category, we define a colocalisation and a natural long exact sequence that involves the original category and its localisation and colocalisation at the subcategory. Similarly, we construct a…

Category Theory · Mathematics 2015-10-23 Hvedri Inassaridze , Tamaz Kandelaki , Ralf Meyer

In this paper, we introduce a generalization of Balancing and Balancing-Lucas numbers. We describe some of their properties also we give the related matrix representation and divisibility properties.

Number Theory · Mathematics 2022-10-25 Hasan Al-Zoubi , Ala'a Al-Kateeb

We study loop near-rings, a generalization of near-rings, where the additive structure is not necessarily associative. We introduce local loop near-rings and prove a useful detection principle for localness.

Rings and Algebras · Mathematics 2016-05-04 Damir Franetič

This is the introductory chapter to the volume. We review the main idea of the localization technique and its brief history both in geometry and in QFT. We discuss localization in diverse dimensions and give an overview of the major…

High Energy Physics - Theory · Physics 2017-10-25 Vasily Pestun , Maxim Zabzine

The central focus of this work is to make progress towards understanding entanglement as a resource for computation by examining the quantum correlations that can be extracted from stabilizer states. As such, we focus on the stabilizer…

Quantum Physics · Physics 2008-07-21 Matthew B. Elliott

Astrophysical polarization measurements provide some of the strongest constraints on the photon sector of the non-minimal Standard-Model Extension. This paper reviews some recent results obtained by combining optical linear and circular…

High Energy Physics - Phenomenology · Physics 2022-07-12 Fabian Kislat

We investigate negative square-brackets partition relations at successors of singular cardinals of countable cofinality. Along the way we prove some club-guessing results.

Logic · Mathematics 2008-06-03 Todd Eisworth , Saharon Shelah

This paper studies a coordinate alignment problem for cooperative mobile sensor network localization with range-based measurements. The network consists of target nodes, each of which has only access position information in a local fixed…

Systems and Control · Computer Science 2020-02-25 Keyou You , Qizhu Chen , Pei Xie , Shiji Song

We develop the theory of cofinal types of ultrafilters over measurable cardinals and establish its connections to Galvin's property. We generalize fundamental results from the countable to the uncountable, but often in surprisingly…

Logic · Mathematics 2026-02-11 Tom Benhamou , Natasha Dobrinen
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