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This book is a textbook for the course of foundations of geometry. It is addressed to mathematics students in Universities and to High School students for deeper learning the elementary geometry. It can also be used in mathematics coteries…

History and Overview · Mathematics 2007-05-23 Ruslan Sharipov

I discuss an apparently simple ballistics problem: the time it takes an object to fall a small vertical distance near the surface of the Earth. It turns out to be not so simple; I spend a great deal of time on the quantitative assessment of…

Physics Education · Physics 2007-09-04 David W. Hogg

We investigate student understanding of energy and momentum concepts at the level of introductory physics by designing and administering a 25-item multiple choice test and conducting individual interviews. We find that most students have…

Physics Education · Physics 2016-02-23 Chandralekha Singh , David Rosengrant

These lecture notes concern information-theoretic notions of entropy. They are intended for, and have been successfully taught to, undergraduate students interested inresearch careers. Besides basic notions of analysis related to…

Mathematical Physics · Physics 2018-06-20 Vojkan Jaksic

We discuss and analyze the fact that physics is generally losing its ability to captivate students who may possess the potential to enhance the quality of our future in this age of technology. We have tried to investigate the reasons behind…

Physics and Society · Physics 2013-07-29 Samina S. Masood

These notes contain everything necessary to run a flipped course on "The Atmosphere" at an introductory undergraduate level. There are notes for the students to read before each course meeting and problems for them to work on in small…

Earth and Planetary Astrophysics · Physics 2019-06-27 Dorian S. Abbot

Particle motion at the micro-scale is an incessant tug-of-war between thermal fluctuations and applied forces on one side, and the strong resistance exerted by fluid viscosity on the other. Friction is so strong that completely neglecting…

Statistical Mechanics · Physics 2015-06-05 Antonio Celani , Stefano Bo , Ralf Eichhorn , Erik Aurell

This text is a short but comprehensive introduction to the basics of supergeometry and includes some of the recent advances in colored supergeometry. We do not aim for a standard text that states results and proves them more or less…

Mathematical Physics · Physics 2022-07-27 Norbert Poncin , Sarah Schouten

The contact between rough surfaces with adhesion is an extremely difficult problem, and the approximation of the DMT theory (to neglect deformations due to attractive forces), originally developed for spherical contact of very small radius,…

Materials Science · Physics 2017-01-17 Michele Ciavarella

Students with disabilities are enrolling in postsecondary education in increasing numbers and in science, technology, engineering, and mathematics (STEM) at steady rates since the early 1990s. Specifically, in 2014, the National Center on…

Physics Education · Physics 2024-06-19 Amanda Lannan , Erin Scanlon , Jacquelyn J. Chini

This is a very gentle introductory course on quantum mechanics aimed at the first years of the undergraduate level. The basic concepts are introduced, with many applications and illustrations. Contains 12 short chapters of equal length,…

Quantum Physics · Physics 2010-07-26 Bram Gaasbeek

Low-rank approximation is a fundamental technique in modern data analysis, widely utilized across various fields such as signal processing, machine learning, and natural language processing. Despite its ubiquity, the mechanics of low-rank…

Machine Learning · Computer Science 2024-08-13 Jun Lu

The numerical simulation of an air spark gap has been carried within two theoretical models. The kinetic one [1] allowed us to calculate time dependencies for the residual resistance (0.2 - 0.4 Ohm for our selection of a circuit…

Accelerator Physics · Physics 2015-02-27 S. E. Siahlo , V. V. Tikhomirov

Oral exams were common historically across academia, though their popularity has recently fallen. Many argue against them as an assessment technique because they are vulnerable to bias and subjectivity, difficult to administer, and…

Physics Education · Physics 2025-09-15 Brian DiGiorgio Zanger

The ongoing progress in quantum theory emphasizes the crucial role of the very basic principles of quantum theory. However, this is not properly followed in teaching quantum mechanics on the graduate and undergraduate levels of physics…

Physics Education · Physics 2017-11-07 J. Jeknic-Dugic , M. Arsenijevic , M. Dugic

This lecture note covers Relativistic Kinematics, which is very useful for the beginners in the field of high-energy physics. A very practical approach has been taken, which answers "why and how" of the kinematics useful for students…

Nuclear Experiment · Physics 2016-04-12 Raghunath Sahoo

We introduce the notion of an approximation system as a generalization of Taylor approximation, and we give some first examples. Next we develop the general theory, including error bounds and a sufficient criterion for convergence. More…

Classical Analysis and ODEs · Mathematics 2017-10-20 Victor A. Pessers , Tom H. Koornwinder

One argument for keeping the physics GRE is that it can help applicants who might otherwise be missed in the admissions process stand out. In this work, we evaluate whether this claim is supported by physics graduate school admissions…

Physics Education · Physics 2021-06-30 Nicholas T. Young , Marcos D. Caballero

This papers consists of two parts. The first is a critical review of prior art on adversarial learning, identifying some significant limitations of previous works. The second part is an experimental study considering adversarial active…

Cryptography and Security · Computer Science 2017-05-30 David J. Miller , Xinyi Hu , Zhicong Qiu , George Kesidis

Water offers a large temperature domain of stable liquid, and the characteristic hydrophobic effects are first a consequence of the temperature insensitivity of equation-of-state features of the aqueous medium, compared to other liquids. On…

Biological Physics · Physics 2007-05-23 Lawrence R. Pratt , Andrew Pohorille , D. Asthagiri