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This study considers the object localization problem and proposes a novel multiparticle Kalman filter to solve it in complex and symmetric environments. Two well-known classes of filtering algorithms to solve the localization problem are…

Robotics · Computer Science 2023-03-15 Roman Korkin , Ivan Oseledets , Aleksandr Katrutsa

We characterize vertex algebras (in a suitable sense) as algebras over a certain graded co-operad. We also discuss some examples and categorical implications of this characterization.

Rings and Algebras · Mathematics 2010-06-02 Ruthi Hortsch , Igor Kriz , Ales Pultr

We describe spectra of associative (not necessarily unital and not necessarily countable-dimensional) locally matrix algebras. We determine all possible spectra of locally matrix algebras and give a new proof of Dixmier-Baranov Theorem. As…

Rings and Algebras · Mathematics 2020-11-18 Oksana Bezushchak

In \cite{DvZa3}, we started the investigation of pseudo MV-algebras with square roots. In the present paper, we continue to study the structure of pseudo MV-algebras with square roots focusing on their new characterizations. The paper is…

Rings and Algebras · Mathematics 2023-06-08 Anatolij Dvurečenskij , Omid Zahiri

We introduce a notion of a (V,T)-module over a vertex algebra V for an arbitrary positive integer T, which is a generalization of a twisted V-module. Under some conditions on V, we construct an associative algebra A^{T}_{m}(V) for…

Quantum Algebra · Mathematics 2016-03-07 Kenichiro Tanabe

The enormous structural and chemical diversity of metal-organic frameworks (MOFs) forces researchers to actively use simulation techniques on an equal footing with experiments. MOFs are widely known for outstanding adsorption properties, so…

Materials Science · Physics 2021-11-22 Vadim V. Korolev , Yurii M. Nevolin , Thomas A. Manz , Pavel V. Protsenko

This paper concerns dual frames multipliers, i.e. operators in Hilbert spaces consisting of analysis, multiplication and synthesis processes, where the analysis and the synthesis are made by two dual frames, respectively. The goal of the…

Functional Analysis · Mathematics 2023-10-31 Rosario Corso

In this paper, for every one-dimensional formal group $F$ we formulate and study a notion of vertex $F$-algebra and a notion of $\phi$-coordinated module for a vertex $F$-algebra where $\phi$ is what we call an associate of $F$. In the case…

Quantum Algebra · Mathematics 2010-06-22 Haisheng Li

It is proved that the localization of an injective module E, over a valuation ring R, at a prime ideal J, is injective if J is not the subset of zero-divisors of R or if J or E is flat. It follows that localizations of injective modules…

Rings and Algebras · Mathematics 2007-05-23 Francois Couchot

This article is a sequel to hep-th/9411050, q-alg/9412017, q-alg/9503013. Given a collection of $m$ finite factorizable sheaves $\{\CX_k\}$, we construct here some perverse sheaves over configuration spaces of points on a projective line…

q-alg · Mathematics 2008-02-03 M. Finkelberg , V. Schechtman

In this paper we study the unitary equivalence between Hilbert modules over a locally C*-algebra. Also, we prove a stabilization theorem for countably generated modules over an arbitrary locally C*-algebra and show that a Hilbert module…

Operator Algebras · Mathematics 2007-05-23 Maria Joita

Let $M$ be a monoid that is embeddable in a group. We consider the topos $\mathbf{PSh}(M)$ of sets equipped with a right $M$-action, and we study the subtoposes that are of monoid type, i.e. the subtoposes that are again of the form…

Category Theory · Mathematics 2023-03-14 Jens Hemelaer

A successive continuation method for locating connecting orbits in parametrized systems of autonomous ODEs is considered. A local convergence analysis is presented and several illustrative numerical examples are given.

chao-dyn · Physics 2015-06-24 E. J. Doedel , M. J. Friedman , B. I. Kunin

We define algebraic cobordism of classifying spaces, \Omega^*(BG) and G-equivariant algebraic cobordism \Omega^*_G(-) for a linear algebraic group G. We prove some properties of the coniveau filtration on algebraic cobordism, denoted…

Algebraic Geometry · Mathematics 2009-07-28 Dinesh Deshpande

We demonstrated multi-mobile robot navigation based on Visible Light Positioning(VLP) localization. From our experiment, the VLP can accurately locate robots' positions in navigation.

Robotics · Computer Science 2022-11-02 Yanyi Chen , Zhiqing Zhong , Shangsheng Wen , Weipeng Guan

Representing data residing on a graph as a linear combination of building block signals can enable efficient and insightful visual or statistical analysis of the data, and such representations prove useful as regularizers in signal…

Signal Processing · Electrical Eng. & Systems 2020-12-02 David I Shuman

Global mobile robot localization is the problem of determining a robot's pose in an environment, using sensor data, when the starting position is unknown. A family of probabilistic algorithms known as Monte Carlo Localization (MCL) is…

Robotics · Computer Science 2007-05-23 Javier Nicolas Sanchez , Adam Milstein , Evan Williamson

Accurate localization is a foundational capacity, required for autonomous vehicles to accomplish other tasks such as navigation or path planning. It is a common practice for vehicles to use GPS to acquire location information. However, the…

Computer Vision and Pattern Recognition · Computer Science 2020-10-21 Dongfang Liu , Yiming Cui , Xiaolei Guo , Wei Ding , Baijian Yang , Yingjie Chen

We study the localization along a filter of several dynamical notions. This generalizes and extends similar localizations that have been considered in the literature, e.g. near 0 and near an idempotent. Definitions and basic properties of…

Dynamical Systems · Mathematics 2022-04-05 Lorenzo Luperi Baglini , Sourav Kanti Patra , Md Moid Shaikh

The Modular Isomorphism Problem asks, if an isomorphism between modular group algebras of finite $p$-groups over a field $F$ implies an isomorphism of the group bases. We explore the differences of knowledge on the problem when $F$ is…

Rings and Algebras · Mathematics 2026-02-26 Leo Margolis , Taro Sakurai
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