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During the last decade we have witnessed an impressive development in so-called interpreted languages and computational environments such as Maple, Mathematica, IDL, Matlab etc. Problems which until recently were typically solved on…

Physics Education · Physics 2007-05-23 Arnt Inge Vistnes , M. Hjorth-Jensen

The visual appearance of a moving object in special relativity can be constructed in a straightforward manner when representing the surface of the object, or at least a wire frame model of it, as a point cloud. The apparent position of each…

Computational Physics · Physics 2014-10-20 Thomas Müller , Sebastian Boblest

We propose a platform-independent multi-threaded function library that provides data structures to generate, differentiate and render both the ordinary basis and the normalized B-basis of a user-specified extended Chebyshev (EC) space that…

Mathematical Software · Computer Science 2018-10-16 Ágoston Róth

We define a 2-dimensional Ising model on a triangulated sphere, $\mathbb S^2$, designed to approach the exact conformal field theory (CFT) in the continuum limit. Surprisingly, the derivation leads to a set of geometric constraints that the…

High Energy Physics - Lattice · Physics 2024-07-02 Richard C. Brower , Evan K. Owen

In recent years, machine learning (ML) has gained significant popularity in the field of chemical informatics and electronic structure theory. These techniques often require researchers to engineer abstract "features" that encode chemical…

Human-Computer Interaction · Computer Science 2022-07-11 Xiangyun Lei , Fred Hohman , Duen Horng Chau , Andrew J. Medford

Folding a sequence $S$ into a multidimensional box is a method that is used to construct multidimensional codes. The well known operation of folding is generalized in a way that the sequence $S$ can be folded into various shapes. The new…

Information Theory · Computer Science 2009-07-29 Tuvi Etzion

Visualizations have become an indispensable part of the scientific process. A vibrant ecosystem of visualization tools exists, catering to a wide variety of different needs. Real-time visualizations of numerical simulations offer scientists…

Graphics · Computer Science 2026-02-09 Hanno Rein

When implementing functionality which requires sparse matrices, there are numerous storage formats to choose from, each with advantages and disadvantages. To achieve good performance, several formats may need to be used in one program,…

Mathematical Software · Computer Science 2019-10-22 Conrad Sanderson , Ryan Curtin

Neuronal network models and corresponding computer simulations are invaluable tools to aid the interpretation of the relationship between neuron properties, connectivity and measured activity in cortical tissue. Spatiotemporal patterns of…

Neurons and Cognition · Quantitative Biology 2022-09-16 Johanna Senk , Corto Carde , Espen Hagen , Torsten W. Kuhlen , Markus Diesmann , Benjamin Weyers

Two transformative waves of computing have redefined the way we approach science. The first wave came with the birth of the digital computer, which enabled scientists to numerically simulate their models and analyze massive datasets. This…

Computational Complexity · Computer Science 2023-11-01 Chi-Ning Chou

We analyse the axioms of Euclidean geometry according to standard object-oriented software development methodology. We find a perfect match: the main undefined concepts of the axioms translate to object classes. The result is a suite of C++…

Computational Geometry · Computer Science 2009-09-29 M. H. van Emden , B. Moa

We have developed a Java-based teaching tool, "Appreciating Hubble at Hyper-speed" ($\textit{AHaH}$), intended for use by students and instructors in beginning astronomy and cosmology courses, which we have made available online. This tool…

Multi-dimensional arrays are among the most fundamental and most useful data structures of all. In C++, excellent template libraries exist for arrays whose dimension is fixed at runtime. Arrays whose dimension can change at runtime have…

Data Structures and Algorithms · Computer Science 2010-08-18 Bjoern Andres , Ullrich Koethe , Thorben Kroeger , Fred A. Hamprecht

We discuss the great importance of using mathematical software in solving problems in today's society. In particular, we show how to use Mathematica software to solve ordinary differential equations exactly and numerically. We also show how…

General Physics · Physics 2021-04-09 Deyvid W. da M. Pastana , Manuel E. Rodrigues

Large-scale numerical simulations of planetary interiors require dedicated visualization algorithms that are able to efficiently extract a large amount of information in an interactive and user-friendly way. Here we present a software…

The Visual Physics Analysis (VISPA) project integrates different aspects of physics analyses into a graphical development environment. It addresses the typical development cycle of (re-)designing, executing and verifying an analysis. The…

Data Analysis, Statistics and Probability · Physics 2012-09-10 H. -P. Bretz , M. Brodski , M. Erdmann , R. Fischer , A. Hinzmann , T. Klimkovich , D. Klingebiel , M. Komm , J. Lingemann , G. Müller , T. Münzer , M. Rieger , J. Steggemann , T. Winchen

Lattice models or structures are geometrical objects with mathematical forms, that are used to represent physical systems. They have been used widely in diverse fields, namely, in condensed matter physics, to study degrees of freedom of…

Quantum Physics · Physics 2024-06-04 Kalyan Dasgupta

IGUANA is a generic interactive visualisation framework based on a C++ component model. It provides powerful user interface and visualisation primitives in a way that is not tied to any particular physics experiment or detector design. The…

Software Engineering · Computer Science 2008-11-26 George Alverson , Giulio Eulisse , Shahzad Muzaffar , Ianna Osborne , Lassi A. Tuura , Lucas Taylor

Computer programming is among the fundamental aspects of computer science curriculum. Many students first introduced to introductory computer programming courses experience difficulties in learning and comprehending. Vast amount of…

Programming Languages · Computer Science 2014-08-13 Ally S. Nyamawe

It is common to introduce optical tweezers using either geometric optics for large particles or the Rayleigh approximation for very small particles. These approaches are successful at conveying the key ideas behind optical tweezers in their…

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