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- https://phys.libretexts.org/Courses/University_of_California_Davis/UCD%3A_Physics_9D__Modern_Physics/4%3A_Dynamics_in_Special_Relativity/4.2%3A_Energy_ConservationFinally we have arrived at perhaps the most famous equation in all of physics – the equation that is on the lips of even the most uninitiated when they hear the name of Einstein. What is remarkable is...Finally we have arrived at perhaps the most famous equation in all of physics – the equation that is on the lips of even the most uninitiated when they hear the name of Einstein. What is remarkable is that as famous as the energy-mass equivalence equation is, precious few know what it really means, which is too bad, because this concept is the pinnacle of special relativity for good reason.
- https://phys.libretexts.org/Courses/University_of_California_Davis/UCD%3A_Physics_9D__Modern_Physics/2%3A_Light_Isn't_Just_a_WaveWe look at how relativity changes everything we thought we knew about the kinematic effects of relative motion.
- https://phys.libretexts.org/Courses/University_of_California_Davis/UCD%3A_Classical_Mechanics/8%3A_Small_Oscillations/Sample_ProblemsAll of the problems below have had their basic features discussed in an "Analyze This" box in this chapter. This means that the solutions provided here are incomplete, as they will refer back to the a...All of the problems below have had their basic features discussed in an "Analyze This" box in this chapter. This means that the solutions provided here are incomplete, as they will refer back to the analysis performed for information (i.e. the full solution is essentially split between the analysis earlier and details here). If you have not yet spent time working on (not simply reading!) the analysis of these situations, these sample problems will be of little benefit to your studies. Solution
- https://phys.libretexts.org/Bookshelves/Thermodynamics_and_Statistical_Mechanics/Supplemental_Modules_(Thermodynamics_and_Statistical_Mechanics)/Thermodynamics/1.13%3A_Heat_TransportContributors and Attributions Michael Fowler (Beams Professor, Department of Physics, University of Virginia)
- https://phys.libretexts.org/Courses/University_of_California_Davis/UCD%3A_Classical_Mechanics/7%3A_Gravitation/7.1%3A_Universal_GravitationWe now dig a little deeper into a fundamental force for which we have up to now only used a simplified model for motion near the surface of the earth.
- https://phys.libretexts.org/Courses/University_of_California_Davis/UCD%3A_Physics_9B_Lab/Lab_2%3A_Standing_WavesWe use the properties of standing wave harmonics and their associated traveling waves to experimentally determine the linear mass density of a string.
- https://phys.libretexts.org/Courses/University_of_California_Davis/UCD%3A_Physics_9D__Modern_Physics/2%3A_Light_Isn't_Just_a_Wave/3.2%3A_Lorentz_TransformationSo far we have achieved results one at a time, through thought experiments. Here we will develop a more general mathematical framework to link inertial frames in relative motion which will work for th...So far we have achieved results one at a time, through thought experiments. Here we will develop a more general mathematical framework to link inertial frames in relative motion which will work for the results we have already obtained, as well as any other new ideas that might come along.
- https://phys.libretexts.org/Courses/University_of_California_Davis/UCD%3A_Classical_Mechanics/5%3A_Rotations_and_Rigid_Bodies/5.2%3A_Rotational_InertiaWith the basics of rotational motion and inertia now in hand, we take on the topic of dynamics. We do so by closely paralleling what we know from linear dynamics.
- https://phys.libretexts.org/Bookshelves/Mathematical_Physics_and_Pedagogy/Computational_Physics_(Chong)/01%3A_Scipy_Tutorial/1.02%3A_Getting_StartedThe factor of \(4\pi\epsilon_{0}\) in the denominator is annoying to keep around, so we will adopt "computational units". This means that we'll rescale the potential, positions and/or the charges so t...The factor of \(4\pi\epsilon_{0}\) in the denominator is annoying to keep around, so we will adopt "computational units". This means that we'll rescale the potential, positions and/or the charges so that, in the new units of measurement, \(4\pi\epsilon_{0}=1\). On Windows, in the window that was opened up by the IDLE (Python GUI) program, click on the menu-bar item File → New File; then type Ctrl-s (or click on File → New File) and save the empty file as potentials.py.
- https://phys.libretexts.org/Bookshelves/Mathematical_Physics_and_Pedagogy/Computational_Physics_(Chong)/11%3A_Discrete_Fourier_Transforms\[\mathrm{DFT}\Big\{f_0, f_1, \dots, f_{N-1}\Big\} = \Big\{F_0, F_1, \dots, F_{N-1}\Big\} \qquad\mathrm{where}\quad F_n = \sum_{m=0}^{N-1} e^{-2\pi i \frac{mn}{N}}\, f_m.\] \[\mathrm{IDFT}\Big\{F_0, F...\[\mathrm{DFT}\Big\{f_0, f_1, \dots, f_{N-1}\Big\} = \Big\{F_0, F_1, \dots, F_{N-1}\Big\} \qquad\mathrm{where}\quad F_n = \sum_{m=0}^{N-1} e^{-2\pi i \frac{mn}{N}}\, f_m.\] \[\mathrm{IDFT}\Big\{F_0, F_1, \dots, F_{N-1}\Big\} = \Big\{f_0, f_1, \dots, f_{N-1}\Big\} \qquad\mathrm{where}\quad f_m = \frac{1}{N} \sum_{n=0}^{N-1} e^{2\pi i \frac{mn}{N}}\, F_n.\]
- https://phys.libretexts.org/Bookshelves/Mathematical_Physics_and_Pedagogy/Computational_Physics_(Chong)/01%3A_Scipy_Tutorial/1.03%3A_Modularizing_the_CodeIn programming terminology, our program is insufficiently "modular". Ideally, we want to isolate the part of the program that computes the potential from the part that specifies the numerical inputs t...In programming terminology, our program is insufficiently "modular". Ideally, we want to isolate the part of the program that computes the potential from the part that specifies the numerical inputs to the calculation, like the positions and charges. As explained by the comments, we intend to use these for the positions of the particles, the charges of the particles, and the positions at which to measure the potential, respectively.
