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In today's modern wide-field galaxy surveys, there is the necessity for parametric surface brightness decomposition codes characterised by accuracy, small degree of user intervention, and high degree of parallelisation. We try to address…

Astrophysics of Galaxies · Physics 2023-03-03 Luca Tortorelli , Amata Mercurio

A Python package for the analysis of dark-field X-ray microscopy (DFXM) and rocking curve imaging (RCI) data is presented. \textit{darfix} provides a set of data processing and visualization tools that can be either imported as library…

An open-source, Python-based Temporal Analysis of Products (TAP) reactor simulation and processing program is introduced. TAPsolver utilizes algorithmic differentiation for the calculation of highly accurate derivatives, which are used to…

Computational Engineering, Finance, and Science · Computer Science 2020-09-01 Adam Yonge , M. Ross Kunz , Rakesh Batchu , Zongtang Fang , Tobin Issac , Rebecca Fushimi , Andrew J. Medford

This article explores the limits of geometric construction using various tools, both classical and modern. Starting with ruler and compass constructions, we examine how adding methods such as origami, marked rulers (neusis), conic sections,…

History and Overview · Mathematics 2025-10-20 MohammadJavad Maarefvand

This is a survey on tropical polytopes from the combinatorial point of view and with a focus on algorithms. Tropical convexity is interesting because it relates a number of combinatorial concepts including ordinary convexity, monomial…

Combinatorics · Mathematics 2008-10-12 Michael Joswig

Determining the physicochemical properties of a protein can reveal important insights in their structure, biological functions, stability, and interactions with other molecules. Although tools for computing properties of proteins already…

Biomolecules · Quantitative Biology 2023-12-05 Gustavo Sganzerla Martinez , Mansi Dutt , Anuj Kumar , David J Kelvin

The present CORE 2.1 (COmpendium of RElations, Version 2.1) contains various formulas and relations used in the practical calculations in the Standard Model. The properties of the Pauli, Dirac, Gell--Mann matrices, wave functions of free…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. I. Borodulin , R. N. Rogalyov , S. R. Slabospitsky

Modular Reconfigurable Robots (MRRs) represent an exciting path forward for industrial robotics, opening up new possibilities for robot design. Compared to monolithic manipulators, they promise greater flexibility, improved maintainability,…

Robotics · Computer Science 2023-09-18 Jonathan Külz , Matthias Mayer , Matthias Althoff

For a Gorenstein curve X and a nonsingular point P of X, we construct Abel maps A from X to J_X^1 and A_P from X to J_X^0, where J_X^i is the moduli scheme for simple, torsion-free, rank-1 sheaves on X of degree i. The image curves of A and…

Algebraic Geometry · Mathematics 2007-12-11 Lucia Caporaso , Juliana Coelho , Eduardo Esteves

Modular curves like X_0(N) and X_1(N) appear very frequently in arithmetic geometry. While their complex points are obtained as a quotient of the upper half plane by some subgroups of SL_2(Z), they allow for a more arithmetic description as…

Number Theory · Mathematics 2017-03-24 Marusia Rebolledo , Christian Wuthrich

A tutorial of the Mathematica package CGAlgebra, for conformal geometric algebra calculations is presented. Using rule-based programming, the 5-dimensional conformal geometric algebra is implemented and defined functions simplify the…

Mathematical Software · Computer Science 2022-07-01 E. Alejandra Ortiz-Duran , Jose L. Aragon

We introduce the VirtualResolution package for the computer algebra system Macaulay2. This package has tools to construct, display, and study virtual resolutions for products of projective spaces. The package also has tools for generating…

Algebraic Geometry · Mathematics 2021-01-27 Ayah Almousa , Juliette Bruce , Michael C. Loper , Mahrud Sayrafi

Navigating rigid body objects through crowded environments can be challenging, especially when narrow passages are presented. Existing sampling-based planners and optimization-based methods like mixed integer linear programming (MILP)…

Robotics · Computer Science 2024-09-19 Mingxin Yu , Chuchu Fan

We introduce pygrank, an open source Python package to define, run and evaluate node ranking algorithms. We provide object-oriented and extensively unit-tested algorithm components, such as graph filters, post-processors, measures,…

Machine Learning · Computer Science 2021-10-19 Emmanouil Krasanakis , Symeon Papadopoulos , Ioannis Kompatsiaris , Andreas Symeonidis

This is a companion to our lectures GAP and loops, to be delivered at the Workshops Loops 2007, Prague, Czech Republic. In the lectures we introduce the GAP package LOOPS, describe its capabilities, and explain in detail how to use it. In…

Group Theory · Mathematics 2015-09-21 Gábor P. Nagy , Petr Vojtěchovský

We present the Plan for Robust and Accurate Potentials (PRAPs), a software package for training and using moment tensor potentials (MTPs) in concert with the Machine Learned Interatomic Potentials (MLIP) software package. PRAPs provides an…

We give an overview of relative tensor products (RTPs) for von Neumann algebra modules. For background, we start with the categorical definition and go on to examine its algebraic formulation, which is applied to Morita equivalence and…

Operator Algebras · Mathematics 2007-05-23 David Sherman

This paper is an exploration of the faithful transitive permutation representations of the orientation-preserving automorphisms groups of highly symmetric toroidal maps and hypermaps. The main theorems of this paper give a list of all…

Group Theory · Mathematics 2023-09-01 Maria Elisa Fernandes , Claudio Alexandre Piedade

The open-source PyNX toolkit [Favre-Nicolin et al (2011) arXiv:1010.2641, Mandula et al (2016)] has been extended to provide tools for coherent X-ray imaging data analysis and simulation. All calculations can be executed on graphical…

Consider an n-dimensional projective toric variety X defined by a convex lattice polytope P. David Cox introduced the toric residue map given by a collection of n+1 divisors Z_0,...,Z_n on X. In the case when the Z_i are T-invariant…

Algebraic Geometry · Mathematics 2007-05-23 Ivan Soprounov
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