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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…

物理教育 · 物理学 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…

计算物理 · 物理学 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…

数学软件 · 计算机科学 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…

高能物理 - 格点 · 物理学 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…

人机交互 · 计算机科学 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…

信息论 · 计算机科学 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…

图形学 · 计算机科学 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,…

数学软件 · 计算机科学 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…

神经元与认知 · 定量生物学 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…

计算复杂性 · 计算机科学 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++…

计算几何 · 计算机科学 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…

数据结构与算法 · 计算机科学 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…

综合物理 · 物理学 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…

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…

量子物理 · 物理学 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…

软件工程 · 计算机科学 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…

编程语言 · 计算机科学 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…