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This is a survey of recent developments in combinatorics. The goal is to give a big picture of its many interactions with other areas of mathematics, such as: group theory, representation theory, commutative algebra, geometry (including…

Combinatorics · Mathematics 2015-03-17 Cristian Lenart

There has been a remarkable increase in work at the interface of computer science and game theory in the past decade. In this article I survey some of the main themes of work in the area, with a focus on the work in computer science. Given…

Computer Science and Game Theory · Computer Science 2021-09-07 Joseph Y. Halpern

We investigate the computational power of particle methods, a well-established class of algorit hms with applications in scientific computing and computer simulation. The computational power of a compute model determines the class of…

Formal Languages and Automata Theory · Computer Science 2025-07-23 Johannes Pahlke , Ivo F. Sbalzarini

Section headings: 1 Qubits, gates and networks 2 Quantum arithmetic and function evaluations 3 Algorithms and their complexity 4 From interferometers to computers 5 The first quantum algorithms 6 Quantum search 7 Optimal phase estimation 8…

Quantum Physics · Physics 2022-03-23 Artur Ekert , Patrick Hayden , Hitoshi Inamori

A view on the history and current status of dark matter and dark energy, at a fairly introductory level.

Popular Physics · Physics 2021-08-12 A. De Rújula

The paper gives a soundness and completeness proof for the implicative fragment of intuitionistic calculus with respect to the semantics of computability logic, which understands intuitionistic implication as interactive algorithmic…

Logic in Computer Science · Computer Science 2011-04-15 Giorgi Japaridze

In computability theory and computable analysis, finite programs can compute infinite objects. Presenting a computable object via any program for it, provides at least as much information as presenting the object itself, written on an…

Logic in Computer Science · Computer Science 2014-09-25 Mathieu Hoyrup , Cristobal Rojas

This is a short introduction to quantum computers, quantum algorithms and quantum error correcting codes. Familiarity with the principles of quantum theory is assumed. Emphasis is put on a concise presentation of the principles avoiding…

Quantum Physics · Physics 2007-05-23 Christof Zalka

We study the computational model of polygraphs. For that, we consider polygraphic programs, a subclass of these objects, as a formal description of first-order functional programs. We explain their semantics and prove that they form a…

Logic in Computer Science · Computer Science 2015-07-01 Guillaume Bonfante , Yves Guiraud

The HCI community has called for renewed attention to labor issues and the political economy of computing. Yet much work remains in engaging with labor theory to better understand modern work and workers. This article traces the development…

Human-Computer Interaction · Computer Science 2026-02-12 Yigang Qin , EunJeong Cheon

In this exposition, I discuss several developments in the theory of vertex operator algebras, and I include motivation for the definition.

Quantum Algebra · Mathematics 2007-06-28 James Lepowsky

In this paper we focus on the beginning of publication of the Large Soviet Encyclopedia, launched in 1925. We present the context of this launching and explain why it was tightly connected to the period of the New Economical Policy. In a…

History and Overview · Mathematics 2016-02-18 Laurent Mazliak

This Master's Thesis analyzes thoroughly the topic of the Mathematics Education in Russia and Mathematical Circles. It deals with the historical context of the Mathematics Education in Russia in the XVIIIth, XIXth and XXth centuries; the…

History and Overview · Mathematics 2015-12-22 Daniel Grilo Bartolomé

In the same sense as classical logic is a formal theory of truth, the recently initiated approach called computability logic is a formal theory of computability. It understands (interactive) computational problems as games played by a…

Logic in Computer Science · Computer Science 2011-04-15 Giorgi Japaridze

Represented spaces form the general setting for the study of computability derived from Turing machines. As such, they are the basic entities for endeavors such as computable analysis or computable measure theory. The theory of represented…

Logic · Mathematics 2015-03-04 Arno Pauly

This is an English translation of the following paper, published several years ago: Nikonorov Yu.G. On a characterization of critical points of the scalar curvature functional (Russian), Tr. Rubtsovsk. Ind. Inst., 7, 211-217 (2000), Zbl.…

Differential Geometry · Mathematics 2021-12-03 Yu. G. Nikonorov

The present note sketches a theory of constructs.

Combinatorics · Mathematics 2019-07-30 Edinah K. Gnang , Jeanine S. Gnang

In this paper, we introduce iART: an open Web platform for art-historical research that facilitates the process of comparative vision. The system integrates various machine learning techniques for keyword- and content-based image retrieval…

Information Retrieval · Computer Science 2022-01-10 Matthias Springstein , Stefanie Schneider , Javad Rahnama , Eyke Hüllermeier , Hubertus Kohle , Ralph Ewerth

This book discusses computational curiosity, from the psychology of curiosity to the computational models of curiosity, and then showcases several interesting applications of computational curiosity. A brief overview of the book is given as…

Artificial Intelligence · Computer Science 2015-02-18 Qiong Wu

This is a survey paper of the theory of crystal bases, global bases and the cluster algebra structure on the quantum coordinate rings.

Representation Theory · Mathematics 2018-09-11 Masaki Kashiwara