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In a first course to classical mechanics elementary physical processes like elastic two-body collisions, the mass-spring model, or the gravitational two-body problem are discussed in detail. The continuation to many-body systems, however,…

Physics Education · Physics 2014-03-10 Thomas Müller

Computation is becoming an increasingly important part of physics education. However, there are currently few theories of learning that can be used to help explain and predict the unique challenges and affordances associated with…

Physics Education · Physics 2020-01-01 Tor Ole B. Odden , Elise Lockwood , Marcos D. Caballero

This primer is intended as an introduction to differential forms, a central object in modern mathematical physics, for scientists and engineers.

Mathematical Physics · Physics 2012-06-18 Christian Lessig

This paper introduces an educational card game designed to elucidate fundamental particle physics concepts, specifically emphasizing the classification of hadrons through the "Eightfold Path." Derived from the Quark Matter Card Games…

Physics Education · Physics 2025-02-25 Ana Uzelac

Biophysics is a subject that is spread over many disciplines and transcends the skills and knowledge of the individual student. This makes it challenging both to teach and to learn. Educational materials are described to aid in teaching…

Physics Education · Physics 2015-06-15 J. M. Deutsch

Almost all theories of physics have expressed physical laws by means of differential equations. One can ask: why differential equations? What is special about them? This article addresses these questions and is presented as an inquiry-based…

Physics Education · Physics 2014-06-05 Shabnam Siddiqui

The rapid development of technology has introduced new formats of human-computer interaction, which have in turn produced many new forms of media and a whole new field of interactive multimedia. One of the major mediums that has grown in…

Human-Computer Interaction · Computer Science 2021-10-29 Sara Knežević , Mlađan Jovanović

Incorporating computer programming exercises in introductory physics is a delicate task that involves a number of choices that may have a strong affect on student learning. We present an approach that speaks to a number of common concerns…

Nowadays, computer simulations have reached amazing graphic results, providing awesome visual descriptions explaining the evolution of very complex physics phenomena, implementing the laws of Nature. Sometimes, without a scientific guide,…

Instrumentation and Methods for Astrophysics · Physics 2021-11-09 Simone Iovenitti , Luca Perri

High school science classrooms across the United States are answering calls to make computation a part of science learning. The problem is that there is little known about the barriers to learning that computation might bring to a science…

Physics Education · Physics 2023-09-16 Patti Hamerski , Daryl McPadden , Marcos D. Caballero , Paul W. Irving

Understanding and reasoning about physics is an important ability of intelligent agents. We develop the PHYRE benchmark for physical reasoning that contains a set of simple classical mechanics puzzles in a 2D physical environment. The…

Machine Learning · Computer Science 2019-08-16 Anton Bakhtin , Laurens van der Maaten , Justin Johnson , Laura Gustafson , Ross Girshick

Positional games are a branch of combinatorics, researching a variety of two-player games, ranging from popular recreational games such as Tic-Tac-Toe and Hex, to purely abstract games played on graphs and hypergraphs. It is closely…

Combinatorics · Mathematics 2014-04-11 Michael Krivelevich

The job of a physicist is to describe Nature. General features, hypotheses and theories help to describe physics phenomena at a more abstract, fundamental level, and are sometimes tacitly assigned some sort of real existence; doing so…

Popular Physics · Physics 2015-05-20 J. Strauss

The interactive game theoretical approach to the description of perception processes is proposed. The subject is treated formally in terms of a new class of the verbalizable interactive games which are called the perception games. An…

History and Overview · Mathematics 2007-05-23 Denis V. Juriev

Problems for the graduate students who want to improve problem-solving skills in geometry. Every problem has a short elegant solution -- this gives a hint which was not available when the problem was discovered.

History and Overview · Mathematics 2025-02-04 Anton Petrunin

Philosophy of science attempts to describe all parts of the scientific process in a general way in order to facilitate the description, execution and improvements of this process. So far, all proposed philosophies have only covered existing…

Logic in Computer Science · Computer Science 2023-02-07 Michał J. Gajda

Learning to create, use, and evaluate models is a central element of becoming a scientist. In physics, we often begin an analysis of a complex system with highly simplified or toy models. In introductory physics classes, we tend to use them…

Physics Education · Physics 2022-08-17 Edward F. Redish

As an expansion of complex numbers, the quaternions show close relations to numerous physically fundamental concepts. In spite of that, the didactic potential provided by quaternion interrelationships in formulating physical laws are hardly…

Physics Education · Physics 2007-05-23 Martin Erik Horn

Main papers on quantum games are written by physicists for physicists, and the inevitable exploitation of physics jargon may create difficulties for mathematicians or economists. Our goal here is to make clear the physical content and to…

Optimization and Control · Mathematics 2019-09-11 Vassili Kolokoltsov

Scientific communication inside and outside the classroom is the main means for providing an adequate understanding of how science and technological innovation relate to society. In order to achieve this goal, it is important to explore new…