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Related papers: Hyperplane arrangements in CoCoA

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We introduce and analyze a family of heterogeneous multiscale methods for the numerical integration of highly oscillatory systems of delay differential equations with constant delays. The methodology suggested provides algorithms of…

Numerical Analysis · Mathematics 2018-12-03 M. P. Calvo , J. M. Sanz-Serna , Beibei Zhu

The paper surveys topological problems relevant to the motion planning problem of robotics and includes some new results and constructions. First we analyse the notion of topological complexity of configuration spaces which is responsible…

Algebraic Topology · Mathematics 2017-01-10 Michael Farber

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

Both the higher energy and the initial state colored partons contribute to making exact calculations in QCD color space more important at the LHC than at its predecessors. This is applicable whether the method of assessing QCD is fixed…

High Energy Physics - Phenomenology · Physics 2024-09-24 Malin Sjodahl , Stefan Keppeler

In this paper we study Cynk-Szemberg octic hyperplane arrangements from the perspective of homological properties of their derivation modules. In particular, we define the notion of the type of hyperplane arrangements that will be used in…

Algebraic Geometry · Mathematics 2026-01-15 Marek Janasz , Piotr Pokora

We introduce the Macaulay2 package GradedLieAlgebras for doing computations in graded Lie algebras presented by generators and relations.

Rings and Algebras · Mathematics 2021-01-27 Clas Löfwall , Samuel Lundqvist

We present CONAN (COde for exoplaNet ANalysis), an open-source Python package for comprehensive analyses of exoplanetary systems. It provides a unified Bayesian framework to simultaneously analyze diverse exoplanet datasets to derive global…

Instrumentation and Methods for Astrophysics · Physics 2025-08-29 Babatunde Akinsanmi , Monika Lendl , Andreas Krenn

Quantum computing provides a novel approach to addressing conventionally intractable issues in large-scale optimization. Space logistics missions require the efficient routing of payloads, spacecraft, and resources across complex networks,…

Optimization and Control · Mathematics 2025-01-10 Amiratabak Bahengam , Mohammad-Ali Miri , R. Joseph Rupert , Wesley Dyk , Hao Chen

In this paper we introduce a new mathematical tool to solve fractional equations representing models of fractional systems : The Ultradistributions. Ultradistributions permit us to unify the notion of integral and derivative in one only…

Mathematical Physics · Physics 2009-03-26 C. M. Grunfeld , M. C. Rocca

This paper presents a bridge between the theories of wonderful models associated with toric arrangements and wonderful models associated with hyperplane arrangements. In a previous work, the same authors noticed that the model of the toric…

Algebraic Topology · Mathematics 2024-07-08 Giovanni Gaiffi , Oscar Papini , Viola Siconolfi

Only few categories of free arrangements are known in which Terao's conjecture holds. One of such categories consists of $3$-arrangements with unbalanced Ziegler restrictions. In this paper, we generalize this result to arbitrary…

Combinatorics · Mathematics 2019-06-05 Takuro Abe , Lukas Kühne

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 study the connection of two problems within the planning and verification community: Conformant planning and model-checking of hyperproperties. Conformant planning is the task of finding a sequential plan that achieves a given objective…

Artificial Intelligence · Computer Science 2025-12-30 Raven Beutner , Bernd Finkbeiner

The class of subarrangements of the well-studied braid arrangement, so-called graphic hyperplane arrangements, is important for analysing new concepts and properties in hyperplane arrangement theory. While there is a nice characterization…

Combinatorics · Mathematics 2025-04-29 Leonie Mühlherr

We introduce the Brackets package for the computer algebra system Macaulay2, which provides convenient syntax for computations involving the classical invariants of the special linear group. We describe our implementation of bracket rings…

Algebraic Geometry · Mathematics 2025-04-02 Dalton Bidleman , Timothy Duff , Jack Kendrick , Michael Zeng

We introduce a set of open-source packages that form a highly extensible framework for quantum optimization. One design goal of the system is the inclusion of a command line based configuration system for setting up experiments. The…

Quantum Physics · Physics 2025-04-17 Dávid Sipos , András Czégel , Boglárka G. -Tóth

We present a logical calculus for reasoning about information flow in quantum programs. In particular we introduce a dynamic logic that is capable of dealing with quantum measurements, unitary evolutions and entanglements in compound…

Quantum Physics · Physics 2021-09-15 Alexandru Baltag , Sonja Smets

Coalgebras generalize various kinds of dynamical systems occuring in mathematics and computer science. Examples of systems that can be modeled as coalgebras include automata and Markov chains. We will present a coalgebraic representation of…

Logic in Computer Science · Computer Science 2014-08-04 Frank Roumen

Due to the increased complexity of software development projects more and more systems are described by models. The sheer size makes it impractical to describe these systems by a single model. Instead many models are developed that provide…

Software Engineering · Computer Science 2014-09-24 Christoph Herrmann , Holger Krahn , Bernhard Rumpe , Martin Schindler , Steven Völkel

Efficient robotic extraterrestrial exploration requires robots with diverse capabilities, ranging from scientific measurement tools to advanced locomotion. A robotic team enables the distribution of tasks over multiple specialized…

Robotics · Computer Science 2026-04-02 Matthias Rubio , Julia Richter , Hendrik Kolvenbach , Marco Hutter