Publications associées à Mathematica

Numerical data for scattering amplitudes of Neutral Goldstone bosons in 4d

Andrea Guerrieri, Denis Karateev, Kelian Philippe Häring

Numerical data for scattering amplitudes of Goldstone bosons in d=4 obtained by solving various optimisation problems. The data is stored in .m files. Mathematica notebook is provided for loading and plotting the data. ...

Zenodo2023

Computer-assisted proof of kernel inequalities

Maryna Viazovska, Abhinav Kumar

This data set provides a computer-assisted proof for the kernel inequalities needed to prove universal optimality in the paper "Universal optimality of the E_8 and Leech lattices and interpolation formulas" (by Cohn, Kumar, Miller, Radchenko, and Viazovska ...

EPFL Infoscience2023

Promoting Computational Thinking Skills in Non-Computer Science Students Gamifying Computational Notebooks to Increase Student Engagement

Denis Gillet, Juan Carlos Farah, Adrian Christian Holzer, Marc Lafuente Martinez, Pascal Felber

Computational thinking (CT) skills are becoming increasingly relevant for future professionals across all domains, beyond computer science (CS). As such, an increasing number of bachelor and masters programs outside of the computer science discipline integ ...

2022

Numerical data for scattering amplitudes of photon in d=4

Denis Karateev, João Miguel Augusto Penedones Fernandes, Marco Meineri, Aditya Hebbar

Numerical data for scattering amplitudes of photons in d=4 obtained by solving various optimisation problems. The data is stored in .txt files. Mathematica notebook is provided for loading and plotting the data. ...

2022

Differential operators for superconformal correlation functions

Andrea Manenti

We present a systematic method to expand in components four dimensional superconformal multiplets. The results cover all possible N = 1 multiplets and some cases of interest for N = 2. As an application of the formalism we prove that certain N = 2 spinning ...

Springer Nature2020

Improving Scalability of Symbolic Execution for Software with Complex Environment Interfaces

Stefan Bucur

Manual software testing is laborious and prone to human error. Yet, among practitioners, it is the most popular method for quality assurance. Automating the test case generation promises better effectiveness, especially for exposing corner-case bugs. Symbo ...

EPFL2015

Deductive Program Repair, Computer Aided Verification

Viktor Kuncak, Etienne Kneuss

We present an approach to program repair and its application to programs with recursive functions over unbounded data types. Our approach formulates program repair in the framework of deductive synthesis that uses existing program structure as a hint to gu ...

2015

Prototyping Symbolic Execution Engines for Interpreted Languages

George Candea, Johannes Kinder, Stefan Bucur

Symbolic execution is being successfully used to automatically test statically compiled code. However, increasingly more systems and applications are written in dynamic interpreted languages like Python. Building a new symbolic execution engine is a monume ...

ACM2014

Aligator: A mathematica package for invariant generation

Laura Ildiko Kovacs

We describe the new software package Aligator for automatically inferring polynomial loop invariants, The package combines algorithms from symbolic summation and polynomial algebra with computational logic, and is applicable to the rich class of P-solvable ...

Springer-Verlag New York, Ms Ingrid Cunningham, 175 Fifth Ave, New York, Ny 10010 Usa2008