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The paper deals with the process of mathematical modeling representations of exponential and logarithmic functions hypercomplex number system of generalized quaternions via determining a linear differential equation with hypercomplex…

General Mathematics · Mathematics 2016-11-22 Yakiv O. Kalinovsky , Yuliya E. Boyarinova , Dmitry V. Lande , Alina S. Sukalo

Wilson is a Python library for matching and running Wilson coefficients of higher-dimensional operators beyond the Standard Model. Provided with the numerical values of the Wilson coefficients at a high new physics scale, it automatically…

High Energy Physics - Phenomenology · Physics 2019-01-08 Jason Aebischer , Jacky Kumar , David M. Straub

This paper reports on a new algorithm to compute the asymptotic solutions of a linear differential system. A feature of the algorithm is the ability to accommodate periodic coefficients.

Spectral Theory · Mathematics 2025-10-20 B. M. Brown , M. S. P. Eastham , D. K. R. McCormack

We survey some general-purpose symbolic software packages that implement algorithms from enumerative and analytic combinatorics. Software for the following areas is covered: basic combinatorial objects, symbolic combinatorics, P\'olya…

Mathematical Software · Computer Science 2016-01-13 Andrew MacFie

Signals can be interpreted as composed of a rapidly varying component modulated by a slower varying envelope. Identifying this envelope is an essential operation in signal processing, with applications in areas ranging from seismology to…

Sound · Computer Science 2021-10-25 Carlos Tarjano , Valdecy Pereira

We study a notion of finite energy solutions to elliptic systems with power nonlinearities in R^n. We establish sharp pointwise decay estimates for positive and sign-changing solutions. By using these estimates, we obtain symmetry results…

Analysis of PDEs · Mathematics 2024-02-23 Jérôme Vétois

We present an emulator suite for the one- and two-loop cold dark matter power spectrum from the Effective Field Theory of Large Scale Structures (EFTofLSS). Specifically, we emulate separately the various contributions to the one- and…

Cosmology and Nongalactic Astrophysics · Physics 2025-11-10 Despoina Farakou , Constantinos Skordis

This paper is a study of power series, where the coefficients are binomial expressions (iterated finite differences). Our results can be used for series summation, for series transformation, or for asymptotic expansions involving Stirling…

Number Theory · Mathematics 2016-10-10 Khristo N. Boyadzhiev

PySEMTools is a Python-based library for post-processing simulation data produced with high-order hexahedral elements in the context of the spectral element method in computational fluid dynamics. It aims to minimize intermediate steps…

Computational Physics · Physics 2025-04-18 Adalberto Perez , Siavash Toosi , Tim Felle Olsen , Stefano Markidis , Philipp Schlatter

This paper introduces the practicalities and benefits of using SimPy, a discrete event simulation (DES) module written in Python, for modeling and simulating complex systems. Through a step-by-step exploration of the classical Dining…

Mathematical Software · Computer Science 2024-05-06 Dmitry Zinoviev

With the recent proliferation of open-source packages for computing, power system differential-algebraic equation (DAE) modeling and simulation are being revisited to reduce the programming efforts. Existing open-source tools require manual…

Systems and Control · Electrical Eng. & Systems 2020-08-13 Hantao Cui , Fangxing Li , Kevin Tomsovic

Alloy cluster expansions (CEs) provide an accurate and computationally efficient mapping of the potential energy surface of multi-component systems that enables comprehensive sampling of the many-dimensional configuration space. Here, we…

MatchingTools is a Python library for doing symbolic calculations in effective field theory. It provides the tools to construct general models by defining their field content and their interaction Lagrangian. Once a model is given, the…

High Energy Physics - Phenomenology · Physics 2018-08-09 Juan C. Criado

I have created, for public use, a Python code allowing the simulation of light curves with any given power spectral density and any probability density function, following the algorithm described in Emmanoulopoulos et al. 2013. The…

Instrumentation and Methods for Astrophysics · Physics 2015-03-24 S D Connolly

A brief introduction to the Python computing environment is given. By solving the master equation encountered in quantum transport, we give an example of how to solve the ODE problems in Python. The ODE solvers used are the ZVODE routine in…

Computational Physics · Physics 2011-05-11 Wei Fan , Yan Xu , Bing Chen , Qianqian Ye

SfePy (Simple finite elements in Python) is a software for solving various kinds of problems described by partial differential equations in one, two or three spatial dimensions by the finite element method. Its source code is mostly (85\%)…

Mathematical Software · Computer Science 2019-08-20 Robert Cimrman , Vladimír Lukeš , Eduard Rohan

Symmetric elliptic integrals, which have been used as replacements for Legendre's integrals in recent integral tables and computer codes, are homogeneous functions of three or four variables. When some of the variables are much larger than…

Classical Analysis and ODEs · Mathematics 2016-09-06 Bille C. Carlson , John L. Gustafson

We present lambeq, the first high-level Python library for Quantum Natural Language Processing (QNLP). The open-source toolkit offers a detailed hierarchy of modules and classes implementing all stages of a pipeline for converting sentences…

PESummary is a Python software package for processing and visualising data from any parameter estimation code. The easy to use Python executable scripts and extensive online documentation has resulted in PESummary becoming a key component…

Instrumentation and Methods for Astrophysics · Physics 2021-08-12 Charlie Hoy , Vivien Raymond

Software that processes real-world data or that models a physical system must have some way of managing units. While simple approaches like the understood convention that all data are in a unit system (such as the MKS SI unit system) do…

Instrumentation and Methods for Astrophysics · Physics 2018-10-03 Nathan J. Goldbaum , John A. ZuHone , Matthew J. Turk , Kacper Kowalik , Anna L. Rosen