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We establish a connection between finite fields and finite dynamical systems. We show how this connection can be used to shed light on some problems in finite dynamical systems and in particular, in linear systems.

Dynamical Systems · Mathematics 2007-05-23 Oscar Moreno , Dorothy Bollman , Maria A. Avino-Diaz

We present a study on connection errors in networks of linear features and methods of error detection. We model networks with special connection specifications as networks with hierarchically connected features and define errors considering…

Data Structures and Algorithms · Computer Science 2015-04-07 Panteleimon Rodis

We present a novel framework for deriving integral constraints for correlators on conformal line defects. These constraints emerge from the non-linearly realized ambient-space conformal symmetry. To validate our approach, we examine several…

High Energy Physics - Theory · Physics 2025-08-08 Barak Gabai , Amit Sever , De-liang Zhong

The present paper refers to the theory and the practice of the systems regarding non-linear systems and their applications. We aimed the integration of these systems to elaborate their response as well as to highlight some outstanding…

Discrete Mathematics · Computer Science 2009-03-26 Petre Bucur , Lucian Luca

Here an original idea is suggested to prove the existence of optimal control for some types of non- linear problems. The obtained results can be considered as individual existence theorems (in some sense).

Optimization and Control · Mathematics 2007-05-23 A. A. Niftiyev

Machine learning models commonly exhibit unexpected failures post-deployment due to either data shifts or uncommon situations in the training environment. Domain experts typically go through the tedious process of inspecting the failure…

This research describes the initial effort of building a prediction model for defects in system testing carried out by an independent testing team. The motivation to have such defect prediction model is to serve as early quality indicator…

Software Engineering · Computer Science 2014-01-24 Muhammad Dhiauddin Mohamed Suffian , Suhaimi Ibrahim

We give an overview of linear optics quantum computing, focusing on the results from the original KLM paper. First we give a brief summary of the advances made with optics for quantum computation prior to KLM. We next discuss the KLM linear…

Quantum Physics · Physics 2007-05-23 C. R. Myers , R. Laflamme

Networks of multiple radars are typically used for improving the coverage and tracking accuracy. Recently, such networks have facilitated deployment of commercial radars for civilian applications such as healthcare, gesture recognition,…

Signal Processing · Electrical Eng. & Systems 2020-04-07 S. Hamed Javadi , Alfonso Farina

In this work, we propose novel method for certifying if a given set of vertex linear systems constitute a linear difference inclusion for a nonlinear system. The method relies on formulating the verification of the inclusion as an…

Systems and Control · Electrical Eng. & Systems 2024-08-08 Yehia Abdelsalam , Sebastian Engell

An overview of current multiple alignment systems to date are described.The useful algorithms, the procedures adopted and their limitations are presented.We also present the quality of the alignments obtained and in which cases(kind of…

Data Structures and Algorithms · Computer Science 2009-01-20 Fahad Saeed , Ashfaq Khokhar

In order to achieve fault tolerance, highly reliable system often require the ability to detect errors as soon as they occur and prevent the speared of erroneous information throughout the system. Thus, the need for codes capable of…

Information Theory · Computer Science 2010-02-08 Muzhir Al-Ani , Qeethara Al-Shayea

Three-particle correlators are relevant for, among others, Raman, Hall and non-linear responses. They are also required for the next order of approximations extending dynamical mean-field theory diagrammatically. We present a general…

Strongly Correlated Electrons · Physics 2023-05-10 Patrick Kappl , Friedrich Krien , Clemens Watzenböck , Karsten Held

A representation of an arbitrary system of strict linear inequalities in R^n as a system of points is proposed. The representation is obtained by using a so-called polarity. Based on this representation an algorithm for constructing a…

Discrete Mathematics · Computer Science 2008-02-15 K. S. Kobylkin

We present a cerebellar architecture with two main characteristics. The first one is that complex spikes respond to increases in sensory errors. The second one is that cerebellar modules associate particular contexts where errors have…

Neurons and Cognition · Quantitative Biology 2015-03-25 Sergio Verduzco-Flores , Randall C. O'Reilly

The paper gives a short overview of the principles of particle accelerators, their historical development and the typical performance limitations. After an introduction to the basic concepts, the main emphasis is to sketch the layout of…

Accelerator Physics · Physics 2020-07-09 Massimo Ferrario , Bernhard J. Holzer

How can complexity theory and algorithms benefit from practical advances in computing? We give a short overview of some prior work using practical computing to attack problems in computational complexity and algorithms, informally describe…

Computational Complexity · Computer Science 2008-11-11 Ryan Williams

We discuss the main features of a new optical system capable of laser action: the active complex optical network, or lasing network (LANER). The system is experimentally realized with optical fibers linked each other with suitable optical…

Optics · Physics 2019-02-27 Giovanni Giacomelli , Stefano Lepri , Cosimo Trono

In this chapter, we are concerned with inverse optimal control problems, i.e., optimization models which are used to identify parameters in optimal control problems from given measurements. Here, we focus on linear-quadratic optimal control…

Optimization and Control · Mathematics 2023-11-27 Stephan Dempe , Markus Friedemann , Felix Harder , Patrick Mehlitz , Gerd Wachsmuth

An observability problem for linear autonomous distributed systems in the class of linear operations is considered. A criterion of observability with respect to terminal state has been proved. A connection with observability with respect to…

solv-int · Physics 2008-02-03 B. Shklyar