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We propose a formalism for representation of finite languages, referred to as the class of IDL-expressions, which combines concepts that were only considered in isolation in existing formalisms. The suggested applications are in natural…

Artificial Intelligence · Computer Science 2011-07-04 M. J. Nederhof , G. Satta

In this paper, we introduce a new function related to the sum of element orders of finite groups. It is used to give some criteria for a finite group to be cyclic, abelian, nilpotent, supersolvable and solvable, respectively.

Group Theory · Mathematics 2019-04-09 Marius Tărnăuceanu

This white paper highlights current limitations in the algebraic closure Unified Form Language (UFL). UFL currently represents forms over finite element spaces, however finite element problems naturally result in objects in the dual to a…

Mathematical Software · Computer Science 2021-01-14 David A. Ham

The PYTHIA program is a standard tool for the generation of events in high-energy collisions, comprising a coherent set of physics models for the evolution from a few-body hard process to a complex multiparticle final state. It contains a…

We present version 10 of the CHIANTI package. In this release, we provide updated atomic models for several helium-like ions and for all the ions of the beryllium, carbon and magnesium isoelectronic sequences that are abundant in…

Atomic Physics · Physics 2021-03-10 G. Del Zanna , K. P. Dere , P. R. Young , E. Landi

The class of 1-generator quasi-abelian codes over finite fields is revisited. Alternative and explicit characterization and enumeration of such codes are given. An algorithm to find all 1-generator quasi-abelian codes is provided. Two…

Rings and Algebras · Mathematics 2016-02-09 Somphong Jitman , Patanee Udomkavanich

We introduce the notion of almost finite dimensionality of algebras and study its connection with the classical finiteness conditions.

Rings and Algebras · Mathematics 2007-05-23 Gábor Elek

We describe some recent computer investigations with the `Constraint Logic Programming over Finite Domains' -- CLP(FD) -- library in the Prolog programming environment to search for new simple Lie algebras over the field $\GF(2)$ of $2$…

Rings and Algebras · Mathematics 2023-01-19 David Cushing , George W. Stagg , David I. Stewart

We introduce FORM 4.2, a new minor release of the symbolic manipulation toolkit. We demonstrate several new features, such as a new pattern matching option, new output optimization, and automatic expansion of rational functions.

High Energy Physics - Phenomenology · Physics 2017-07-21 Ben Ruijl , Takahiro Ueda , Jos Vermaseren

The aim of this paper is to present a complete description of the structure of finite subsets with small doubling property in ordered nilpotent groups of class 2.

Number Theory · Mathematics 2018-08-16 Gregory A. Freiman , Marcel Herzog , Patrizia Longobardi , Mercede Maj , Yonutz V. Stanchescu

Many classical finite elements such as the Argyris and Bell elements have long been absent from high-level PDE software. Building on recent theoretical work, we describe how to implement very general finite element transformations in FInAT…

Mathematical Software · Computer Science 2020-08-26 Robert C. Kirby , Lawrence Mitchell

In this paper we present cuSten, a new library of functions to handle the implementation of 2D and batched 1D finite-difference/stencil programs in CUDA. cuSten wraps data handling, kernel calls and streaming into four easy to use functions…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-09-05 Andrew Gloster , Lennon O'Naraigh

This paper presents a new parameter free partially penalized immersed finite element method and convergence analysis for solving second order elliptic interface problems. A lifting operator is introduced on interface edges to ensure the…

Numerical Analysis · Mathematics 2022-02-23 Haifeng Ji , Feng Wang , Jinru Chen , Zhilin Li

The authors describe their approach to teaching a course on finite fields and combinatorial applications, including block designs and error-correcting codes, using a hybrid of lectures and active learning. Under the discussed classroom…

History and Overview · Mathematics 2020-02-07 Christopher O'Neill , Lily Silverstein

This paper describes our winning contribution to SemEval 2018 Task 4: Character Identification on Multiparty Dialogues. It is a simple, standard model with one key innovation, an entity library. Our results show that this innovation greatly…

Computation and Language · Computer Science 2018-05-16 Laura Aina , Carina Silberer , Ionut-Teodor Sorodoc , Matthijs Westera , Gemma Boleda

The design, implementation and analysis of a free library for boundary element calculations is presented. The library is free in the sense of the GNU General Public Licence and is intended to allow users to solve a wide range of problems…

Computational Physics · Physics 2009-08-06 Michael Carley

The PYTHIA program is a standard tool for the generation of high-energy collisions, comprising a coherent set of physics models for the evolution from a few-body hard process to a complex multihadronic final state. It contains a library of…

High Energy Physics - Phenomenology · Physics 2010-04-06 Torbjörn Sjöstrand , Stephen Mrenna , Peter Skands

Version 3 of FORM is introduced. It contains many new features that are inspired by current developments in the methodology of computations in quantum field theory. A number of these features is discussed in combination with examples. In…

Mathematical Physics · Physics 2007-05-23 J. A. M. Vermaseren

Version 2.10 of the Distributed and Unified Numerics Environment DUNE introduces a range of enhancements across its core and extension modules, with a continued emphasis on modern C++ integration and improved usability. This release extends…

We report on improvements to ACL2 made since the 2013 ACL2 Workshop.

Artificial Intelligence · Computer Science 2014-06-09 Matt Kaufmann , J Strother Moore