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Let $S$ be a $*$-semigroup and let $a,w,v\in S$. The initial goal of this work is to introduce two new classes of generalized inverses, called the $w$-core inverse and the dual $v$-core inverse in $S$. An element $a\in S$ is $w$-core…

Rings and Algebras · Mathematics 2023-09-26 Huihui Zhu , Liyun Wu , Jianlong Chen

The paper presents a method for obtaining problems whose conclusions contain disjunctive propositions. These problems constitute a version of inverse problems with a given logical structure. The logical models in the groups of problems…

History and Overview · Mathematics 2014-11-24 Julia Ninova , Vesselka Mihova

Essentially, in a reversible programming language, for each forward computation from state $S$ to state $S'$, there exists a constructive method to go backwards from state $S'$ to state $S$. Besides its theoretical interest, reversible…

Programming Languages · Computer Science 2017-10-10 Naoki Nishida , Adrián Palacios , Germán Vidal

In this paper we introduce the functional framework and the necessary conditions for the well-posedness of an inverse problem arising in the mathematical modeling of disease transmission. The direct problem is given by an initial boundary…

Analysis of PDEs · Mathematics 2018-11-08 Aníbal Coronel , Luis Friz , Ian Hess , María Zegarra

The theory of ``Markov-up'' processes is being developed. This is a new class of stochastic processes with ``partial'' markovian features; it could also be called ``one-sided Markov''. Such a behavior may be found in the real world and in…

Probability · Mathematics 2024-07-01 D. O. Kalikaeva

We describe the additive subgroups of fields which are closed with respect to taking inverses. In particular, in characteristic different from two any such subgroup is either a subfield or the kernel of the trace map of a quadratic…

Rings and Algebras · Mathematics 2011-11-09 Sandro Mattarei

We prove a simple inequality for a sum of squares of norms of two vectors in an inner product space. Next, using this inequality we derive the so--called "reverse uncertainty relation" and analyze its properties.

Quantum Physics · Physics 2026-05-28 K. Urbanowski

A crime is a punishable offence that is harmful for an individual and his society. It is obvious to comprehend the patterns of criminal activity to prevent them. Research can help society to prevent and solve crime activates. Study shows…

Machine Learning · Computer Science 2020-03-23 Sohrab Hossain , Ahmed Abtahee , Imran Kashem , Mohammed Moshiul Hoque , Iqbal H. Sarker

When a matrix has a banded inverse there is a remarkable formula that quickly computes that inverse, using only local information in the original matrix. This local inverse formula holds more generally, for matrices with sparsity patterns…

Numerical Analysis · Mathematics 2016-10-06 Gilbert Strang , Shev MacNamara

In contrast to software reverse engineering, there are hardly any tools available that support hardware reversing. Therefore, the reversing process is conducted by human analysts combining several complex semi-automated steps. However,…

Cryptography and Security · Computer Science 2019-10-02 Carina Wiesen , Nils Albartus , Max Hoffmann , Steffen Becker , Sebastian Wallat , Marc Fyrbiak , Nikol Rummel , Christof Paar

Inverse scattering and spectral one-dimensional problems are discussed systematically in a self-contained way. Many novel results, due to the author are presented. The classical results are often presented in a new way. Several highlights…

Mathematical Physics · Physics 2007-05-23 Alexander G. Ramm

This paper considers the inverse problem of recovering state-dependent source terms in a reaction-diffusion system from overposed data consisting of the values of the state variables either at a fixed finite time (census-type data) or a…

Numerical Analysis · Mathematics 2020-08-26 Barbara Kaltenbacher , William Rundell

Crime is highly concentrated in a few places, is committed by a few offenders and is suffered by a few victims. In recent decades, the concentration of crime has become an accepted fact, yet, little is known in terms of how to measure this…

Physics and Society · Physics 2019-02-11 Rafael Prieto Curiel

This paper employs correct-by-construction control synthesis, in particular controlled invariant set computations, for falsification. Our hypothesis is that if it is possible to compute a "large enough" controlled invariant set either for…

Systems and Control · Computer Science 2018-11-01 Glen Chou , Yunus E. Sahin , Liren Yang , Kwesi J. Rutledge , Petter Nilsson , Necmiye Ozay

We construct an infinite family of topologically slice knots that are not smoothly concordant to their reverses. More precisely, if T denotes the concordance group of topologically slice knots and R is the involution of T induced by string…

Geometric Topology · Mathematics 2022-08-10 Taehee Kim , Charles Livingston

In this paper, we present a method of crime analysis from open source information. We employed un-supervised methods of data mining to explore the facts regarding the crimes of an area of interest. The analysis is based on well known…

Computers and Society · Computer Science 2019-02-18 Sarwat Nizamani , Nasrullah Memon , Azhar Ali Shah , Sehrish Nizamani , Saad Nizamani , Imdad Ali Ismaili

Modeling the purposeful behavior of imperfect agents from a small number of observations is a challenging task. When restricted to the single-agent decision-theoretic setting, inverse optimal control techniques assume that observed behavior…

Computer Science and Game Theory · Computer Science 2015-03-19 Kevin Waugh , Brian D. Ziebart , J. Andrew Bagnell

The notion of the weighted core inverse in a ring with involution was introduced, recently [Mosic et al. Comm. Algebra, 2018; 46(6); 2332-2345]. In this paper, we explore new representation and characterization of the weighted core inverse…

Rings and Algebras · Mathematics 2020-05-05 Sourav Das , Jajati Keshari Sahoo , Ratikanta Behera

Classification problems in security settings are usually contemplated as confrontations in which one or more adversaries try to fool a classifier to obtain a benefit. Most approaches to such adversarial classification problems have focused…

Machine Learning · Statistics 2019-09-25 Roi Naveiro , Alberto Redondo , David Ríos Insua , Fabrizio Ruggeri

In this paper, we introduce the notion of a (generalized) right core inverse and give its characterizations and expressions. Then, we provide the relation schema of (one-sided) core inverses, (one-sided) pseudo core inverses and EP…

Rings and Algebras · Mathematics 2018-04-04 Long Wang , Dijana Mosic , Yuefeng Gao