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In this paper, we examine the state art of quantum computing and analyze its potential effects in scientific computing and cybersecurity. Additionally, a non-technical description of the mechanics of the listed form of computing is provided…

Popular Physics · Physics 2021-05-21 Giovanny Espitia

This thesis is in the area called computational social choice which is an intersection area of algorithms and social choice theory.

Data Structures and Algorithms · Computer Science 2017-03-24 Palash Dey

This is a revised version of Sh:430, section 6.

Logic · Mathematics 2015-12-23 Saharon Shelah

Recently, right-angled Artin groups have attracted much attention in geometric group theory. They have a rich structure of subgroups and nice algorithmic properties, and they give rise to cubical complexes with a variety of applications.…

Group Theory · Mathematics 2007-05-23 Ruth Charney

In this master thesis, I discuss how the theory of operator algebras, also called operator theory, can be applied in quantum computer science.

Logic in Computer Science · Computer Science 2015-10-23 Mathys Rennela

A proof of Sharkovsky's Theorem is given. It is shown how this proof naturally generalizes to looking at maps on graphs and to Sharkovsky-type theorems for these maps. The paper is written at an elementary level and is meant as an…

Dynamical Systems · Mathematics 2012-01-18 Chris Bernhardt

Considering the huge amount of art pieces that exist, there is valuable information to be discovered. Examining a painting, an expert can determine its style, genre, and the time period that the painting belongs. One important task for art…

Computer Vision and Pattern Recognition · Computer Science 2014-08-15 Babak Saleh , Kanako Abe , Ravneet Singh Arora , Ahmed Elgammal

This is a brief introduction to the basic concepts of topology. It includes the basic constructions, discusses separation properties, metric and pseudometric spaces, and gives some applications arising from the use of topology in computing.

Logic · Mathematics 2015-03-04 E. -E. Doberkat

This article reformulates the theory of computable physical models, previously introduced by the author, as a branch of applied model theory in first-order logic. It provides a semantic approach to the philosophy of science that…

Logic · Mathematics 2023-10-03 Matthew P. Szudzik

Descriptive complexity theory is an important area in the study of computational complexity. In this direction, it is possible to describe combinatorial problems exclusively by logical methods, without resorting to the use of complicated…

Computational Complexity · Computer Science 2020-12-15 Vladimir Naidenko

In this chapter I will discuss the role of quantum computing in computer music and how it can be integrated to better serve the creative artists. I will start by considering different approaches in current computer music and quantum…

Emerging Technologies · Computer Science 2022-12-06 Omar Costa Hamido

We describe a system for visualization and editing of data in a computational chemistry environment. The system is a collaborative tool allowing researchers using virtual reality and/or desktop computer displays to work together on results…

Graphics · Computer Science 2023-10-04 Dave Pape , Amin Ghadersohi , Josephine Anstey , Amit Makwana

We present a new model of computation, described in terms of monoidal categories. It conforms the Church-Turing Thesis, and captures the same computable functions as the standard models. It provides a succinct categorical interface to most…

Logic in Computer Science · Computer Science 2015-03-20 Dusko Pavlovic

This text is an extended version of the lecture notes for a course on representation theory of finite groups that was given by the authors during several years for graduate and postgraduate students of Novosibirsk State University and…

Group Theory · Mathematics 2021-10-26 D. O. Revin , A. V. Zavarnitsine

This is a survey of using Minsky machines to study algorithmic problems in semigroups, groups and other algebraic systems.

Group Theory · Mathematics 2015-04-30 Mark Sapir

This paper introduces a category theory-based framework to redefine physical computing in light of advancements in quantum computing and non-standard computing systems. By integrating classical definitions within this broader perspective,…

Quantum Physics · Physics 2024-07-18 Nima Dehghani , Gianluca Caterina

Some speculative preliminary ideas relating matrix theory and cosmology are discussed.

High Energy Physics - Theory · Physics 2009-10-07 Daniel Z. Freedman , Gary W. Gibbons , Martin Schnabl

This book develops the conjecture that all kinds of information processing in computers and in brains may usefully be understood as "information compression by multiple alignment, unification and search". This "SP theory", which has been…

Artificial Intelligence · Computer Science 2007-05-23 J Gerard Wolff

This is a survey on the recent fundamental paper by V.V. Shokurov on the existence of log flips.

Algebraic Geometry · Mathematics 2007-05-23 Caucher Birkar

Introduction to papers on the modeling and analysis of network data

Applications · Statistics 2010-10-20 Stephen E. Fienberg