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In this book we use only special types of intervals and introduce the notion of different types of interval linear algebras and interval vector spaces using the intervals of the form [0, a] where the intervals are from Zn or Z+ \cup {0} or…

General Mathematics · Mathematics 2010-12-14 W. B. Vasantha Kandasamy , Florentin Smarandache

The state of numerical computing is currently characterized by a divide between highly efficient yet typically cumbersome low-level languages such as C, C++, and Fortran and highly expressive yet typically slow high-level languages such as…

Optimization and Control · Mathematics 2015-03-20 Miles Lubin , Iain Dunning

Automated library APIs testing is difficult as it requires exploring a vast space of parameter inputs that may involve objects with complex data types. Existing search based approaches, with limited knowledge of relations between object…

Software Engineering · Computer Science 2025-01-13 Jiageng Li , Zhen Dong , Chong Wang , Haozhen You , Cen Zhang , Yang Liu , Xin Peng

We establish interval arithmetic as a practical tool for certification in numerical algebraic geometry. Our software HomotopyContinuation.jl now has a built-in function certify, which proves the correctness of an isolated nonsingular…

Algebraic Geometry · Mathematics 2024-07-12 Paul Breiding , Kemal Rose , Sascha Timme

Purpose: This study examines the design and functionality of university library login pages across academic alliances (IVY Plus, BTAA, JULAC, JVU) to identify how these interfaces align with institutional priorities and user needs. It…

Human-Computer Interaction · Computer Science 2025-04-21 Rui Shang , Bingjie Huang

This paper serves as a progress report on our research, specifically focusing on utilizing interval analysis, an existing static analysis method, for detecting vulnerabilities in smart contracts. We present a selection of motivating…

Software Engineering · Computer Science 2023-09-26 Ştefan-Claudiu Susan , Andrei Arusoaie

Over the last few years, the interlibrary loan (ILL) service of the University of Li\`ege Library has evolved considerably, both in terms of habits and workflows. In this article, we will explain the main stages of this evolution: (1) first…

Digital Libraries · Computer Science 2023-11-08 Fabienne Prosmans , François Renaville

System identification is an important area of science, which aims to describe the characteristics of the system, representing them by mathematical models. Since many of these models can be seen as recursive functions, it is extremely…

Signal Processing · Electrical Eng. & Systems 2018-07-27 P. F. S. Guedes , M. L. C. Peixoto , O. A. R. O. Freitas , A. M. Barbosa , S. A. M. Martins , E. G. Nepomuceno

Julia is a mature general-purpose programming language, with a large ecosystem of libraries and more than 12000 third-party packages, which specifically targets scientific computing. As a language, Julia is as dynamic, interactive, and…

This paper describes mathlib, a community-driven effort to build a unified library of mathematics formalized in the Lean proof assistant. Among proof assistant libraries, it is distinguished by its dependently typed foundations, focus on…

Logic in Computer Science · Computer Science 2020-01-28 The mathlib Community

Every Constraint Programming (CP) solver exposes a library of constraints for solving combinatorial problems. In order to be useful, CP solvers need to be bug-free. Therefore the testing of the solver is crucial to make developers and users…

Artificial Intelligence · Computer Science 2018-07-12 Aurélie Massart , Valentin Rombouts , Pierre Schaus

BlackJAX is a library implementing sampling and variational inference algorithms commonly used in Bayesian computation. It is designed for ease of use, speed, and modularity by taking a functional approach to the algorithms' implementation.…

In recent years, software systems powered by deep learning (DL) techniques have significantly facilitated people's lives in many aspects. As the backbone of these DL systems, various DL libraries undertake the underlying optimization and…

Software Engineering · Computer Science 2025-02-06 Xiaoyu Zhang , Weipeng Jiang , Chao Shen , Qi Li , Qian Wang , Chenhao Lin , Xiaohong Guan

Bridging cultures that have often been distant, Julia combines expertise from the diverse fields of computer science and computational science to create a new approach to numerical computing. Julia is designed to be easy and fast. Julia…

Mathematical Software · Computer Science 2015-07-21 Jeff Bezanson , Alan Edelman , Stefan Karpinski , Viral B. Shah

Ensuring that classifiers are well-calibrated, i.e., their predictions align with observed frequencies, is a minimal and fundamental requirement for classifiers to be viewed as trustworthy. Existing methods for assessing multiclass…

Machine Learning · Computer Science 2025-10-30 Mahmoud Hegazy , Michael I. Jordan , Aymeric Dieuleveut

When analyzing programs, large libraries pose significant challenges to static points-to analysis. A popular solution is to have a human analyst provide points-to specifications that summarize relevant behaviors of library code, which can…

Programming Languages · Computer Science 2018-05-23 Osbert Bastani , Rahul Sharma , Alex Aiken , Percy Liang

The x86isa library, incorporated in the ACL2 community books project, provides a formal model of the x86 instruction-set architecture and supports reasoning about x86 machine-code programs. However, analyzing x86 programs can be daunting --…

Programming Languages · Computer Science 2017-05-04 Shilpi Goel

The usual step-down and step-up multiple testing procedures most often lack an important intuitive, practical, and theoretical property called the interval property. In short, the interval property is simply that for an individual…

Methodology · Statistics 2012-07-25 Arthur Cohen , Harold Sackrowitz

Dynamic languages have become popular for scientific computing. They are generally considered highly productive, but lacking in performance. This paper presents Julia, a new dynamic language for technical computing, designed for performance…

Programming Languages · Computer Science 2012-09-25 Jeff Bezanson , Stefan Karpinski , Viral B. Shah , Alan Edelman

Unit testing is a fundamental practice in modern software engineering, with the aim of ensuring the correctness, maintainability, and reliability of individual software components. Very recently, with the advances in Large Language Models…

Software Engineering · Computer Science 2025-06-19 Quanjun Zhang , Chunrong Fang , Siqi Gu , Ye Shang , Zhenyu Chen , Liang Xiao