UID:
almahu_9949850808102882
Umfang:
XXIV, 376 p. 91 illus., 39 illus. in color.
,
online resource.
Ausgabe:
1st ed. 2024.
ISBN:
9783031645297
Serie:
Lecture Notes in Computer Science, 14749
Inhalt:
This book constitutes the proceedings of the 8th International Conference on Mathematical Software, ICMS 2024, held in Durham, UK, during July 22-25, 2024. The 37 full papers presented were carefully reviewed and selected from 46 submissions. The papers are organized in subject areas as follows: plenary lectures; number theory and related areas; novel formalisations of mathematics in lean; software for the applications of group theory to combinatorics; classical algebraic geometry & modern computer algebra: innovative software design and its applications; advancing computer algebra with massively parallel methods; computer algebra applications in the life sciences; machine learning within computer algebra systems; numerical software for special functions; mathematical research data; symbolic-numeric methods in algebraic geometry; Polyhedral geometry and combinatorics; general session.
Anmerkung:
-- Plenary Lectures. -- The Reformation of Sage. -- Algorithm and abstraction in formal mathematics. -- Number theory and related areas. -- Computing the Determinant of a Dense Matrix over Z. -- FastECPP over MPI. -- Attacking a Levelled Fully Homomorphic Encryption System with Topological Data Analysis. -- Novel Formalisations of Mathematics in Lean. -- Formalising Families of l-adic Galois Representations in Lean 4. -- Formalization of the Existence of Frobenius Elements. -- Formalising Analysis in Lean: Compactness and Dimensionality. -- Formalisation of the Category of Hopf Algebras in Lean4. -- Software for the applications of group theory to combinatorics. -- Computing the Group of an Algebraic Variety over a Finite Field. -- Computer classification of linear codes based on lattice point enumeration. -- Software for proper vertex-colouring exploiting graph symmetry. -- Classical Algebraic Geometry & Modern Computer Algebra: Innovative Software Design and Its Applications. -- Localization in Gromov-Witten theory of toric varieties in a computer algebra system. -- Advancing computer algebra with massively parallel methods. -- Massively Parallel Methods for Free Resolutions. -- Towards Parallel Methods in Birational Geometry. -- Towards Parallel Algorithms for Gromov-Witten Invariants of Elliptic Curves. -- Computer algebra applications in the life sciences. -- A SageMath Package for Elementary and Sign Vectors with Applications to Chemical Reaction Networks. -- Machine learning within computer algebra systems. -- Symbolic Integration Algorithm Selection with Machine Learning: LSTMs vs Tree LSTMs. -- Constrained Neural Networks for Interpretable Heuristic Creation to Optimise Computer Algebra Systems. -- Machine Learning for Variable Ordering in Cylindrical Algebraic Decomposition. -- Machine learning for number theory. -- Numerical software for special functions. -- Approximation of an inverse of the incomplete beta function. -- DLMF Standard Reference Tables on Demand. -- Mathematical research data. -- Integrating Mathematical Data and Resources: Advancements in zbMATH Open for Enhanced Mathematical Research Accessibility and Reproducibility. -- A FAIR File Format for Mathematical Software. -- Predefined Software Environment Runtimes As A Measure For Reproducibility. -- Towards a FAIR Documentation of Workflows and Models in Applied Mathematics. -- Symbolic-numeric methods in algebraic geometry. -- Monodromy Coordinates. -- Effective alpha theory certification using interval arithmetic: alpha theory over regions. -- Gr¨obner Degenerations of Determinantal Ideals with an Application to Toric Degenerations of Grassmannians. -- Polyhedral geometry and combinatorics. -- Eigenvalue Methods for Sparse Tropical Polynomial Systems. -- A framework for generalized tropical homotopy continuation. -- Regular Flips in mptopcom. -- Dynamic decomposition of tropical prevarieties for celestial mechanics. -- General Session. -- Integrating GeoGebra with React and WebAssembly: A Web-Based Approach for Mathematical Software Development. -- DetGB: A Software Package for Computing Gr¨obner Bases of Determinantal Ideals. -- Extrapolating Solution Paths of Polynomial Homotopies towards Singularities with PHCpack and phcpy.
In:
Springer Nature eBook
Weitere Ausg.:
Printed edition: ISBN 9783031645280
Weitere Ausg.:
Printed edition: ISBN 9783031645303
Sprache:
Englisch
DOI:
10.1007/978-3-031-64529-7
URL:
https://doi.org/10.1007/978-3-031-64529-7
