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The research presented in this thesis was motivated by the need to improve introductory physics courses. Introductory physics courses are generally the first courses in which students learn to create models to solve complex problems.…

Physics Education · Physics 2011-12-26 Marcos D. Caballero

This paper aims to provide physics teachers with tools to help deepen the understanding of the laws of electromagnetism. The fundamental contributions of our proposal are: a) to use quotes from mythical characters in the history of science…

Physics Education · Physics 2025-07-14 L. E. Fuentes-Cobas , M. E. Fuentes-Montero

We solve the Einstein constraint equations for a first-order causal viscous relativistic hydrodynamic theory in the case of a conformal fluid. For such a theory, a direct application of the conformal method does not lead to a decoupling of…

General Relativity and Quantum Cosmology · Physics 2024-06-27 Marcelo M. Disconzi , James Isenberg , David Maxwell

These notes are intended to provide a brief primer in plasma physics, introducing common definitions, basic properties, and typical processes found in plasmas. These concepts are inherent in contemporary plasma-based accelerator schemes,…

Accelerator Physics · Physics 2017-05-31 P. Gibbon

One finding of cognitive research is that people do not automatically acquire usable knowledge by spending lots of time on task. Because students' knowledge hierarchy is more fragmented, "knowledge chunks" are smaller than those of experts.…

Physics Education · Physics 2016-02-23 Chandralekha Singh

An elementary understanding of the relevant length, mass and energy scales at the molecular level can be used to explain the order of magnitude of material properties such as mass density, latent heat, surface tension, elastic moduli and…

Physics Education · Physics 2014-02-26 Andrew Lucas

The principle which allows to construct new physical theories on the basis of classical mechanics by reduction of the number of its axiom without engaging new postulates is formulated. The arising incompleteness of theory manifests itself…

General Physics · Physics 2007-05-23 S. S. Stepanov

We introduce new combinatorial quantities for concept classes, and prove lower and upper bounds for learning complexity in several models of query learning in terms of various combinatorial quantities. Our approach is flexible and powerful…

Machine Learning · Computer Science 2019-04-24 Hunter Chase , James Freitag

Apparently, all partial differential equations that describe physical phenomena in space-time can be cast into a universal quasilinear, first-order form. In this paper, we do two things. First, we describe some broad features of systems of…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Robert Geroch

Multiple solutions exist in various experimental situations whenever the sum of several amplitudes is used to fit the experimentally measured distributions, such as the cross section, the mass spectrum, or the angular distribution. We show…

High Energy Physics - Phenomenology · Physics 2011-01-04 C. Z. Yuan , X. H. Mo , P. Wang

The multiplicative and additive compounds of a matrix play an important role in several fields of mathematics including geometry, multi-linear algebra, combinatorics, and the analysis of nonlinear time-varying dynamical systems. There is a…

Optimization and Control · Mathematics 2021-03-30 Eyal Bar-Shalom , Michael Margaliot

Computation is a central aspect of modern science and engineering work, and yet, computational instruction has yet to fully pervade university STEM curricula. In physics, we have begun to integrate computation into our courses in a variety…

Physics Education · Physics 2017-09-19 Marcos. D. Caballero , Michael J. Obsniuk , Paul W. Irving

Following some past advances, we reformulate a large class of linear continuum science equations in the format of the extended abstract theory of composites so that we can apply this theory to better understand and efficiently solve those…

Mathematical Physics · Physics 2020-07-14 Graeme W. Milton

In this paper, we discuss the question whether a physical "simplification" of a model makes it always easier to study, at least from a mathematical and numerical point of view. To this end, we give different examples showing that these…

History and Overview · Mathematics 2017-10-18 André Eikmeier , Etienne Emmrich , Eckehard Schöll

In this work, we present a teaching strategy implemented in Introduction to Physics, corresponding to the first year of the Physics Teacher Degree at the National University of Rosario, whose main purpose is to provide students with tools…

Physics Education · Physics 2025-02-20 Rodrigo E. Menchón , Santiago H. Luna , Andrea Fourty , Hugo D. Navone

A simple procedure for restoring the constants in physical equations is introduced by a consistent consideration of the correspondence between the symbols representing physical quantities and pairs formed by numerical values and unit…

Physics Education · Physics 2007-05-23 Constantin Vrejoiu

Students' attitudes and approaches to problem solving in physics can profoundly influence their motivation to learn and development of expertise. We developed and validated an Attitudes and Approaches to Problem Solving survey by expanding…

Physics Education · Physics 2016-03-14 Andrew Mason , Chandralekha Singh

Many professional physicists do not fully understand the implications of the Einstein equivalence principle of general relativity. Consequently, many are unaware of the fact that special relativity is fully capable of handling accelerated…

Physics Education · Physics 2019-07-05 R. A. Pepino , R. W. Mabile

A method is suggested for treating those complicated physical problems for which exact solutions are not known but a few approximation terms of a calculational algorithm can be derived. The method permits one to answer the following rather…

High Energy Physics - Phenomenology · Physics 2009-10-31 V. I. Yukalov , E. P. Yukalova

We explain the solution of the following two problems: obtaining of Kepler's laws from Newton's laws (so called two bodies problem) and obtaining the fourth Newton's law (the formula for gravitation) as a corollary of Kepler's laws. This…

History and Overview · Mathematics 2017-03-02 Makar Plakhotnyk
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