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name abstract number of steps reference author
curl curl identity 9 ben.is.located@gmail.com
derivation of Schrodinger Equation 39 ben.is.located@gmail.com
electric field wave equation: from time dependent to time independent 11 ben.is.located@gmail.com
frequency relations 11 ben.is.located@gmail.com
integration by parts 5 ben.is.located@gmail.com
particle in a 1D box 39 ben.is.located@gmail.com
quadratic equation derivation 15 https://en.wikipedia.org/wiki/Quadratic_formula#Derivations_of_the_formula ben.is.located@gmail.com
quantum basics Hermitian operators have realvalued observables 7 ben.is.located@gmail.com
quantum basics orthogonality 9 ben.is.located@gmail.com
variance relation 6 ben.is.located@gmail.com
Compton's equation for scattering 8 ben.is.located@gmail.com
identity sin(2 x) = 2 sin(x) cos(x) using Euler's equation 9 ben.is.located@gmail.com
Euler equation to e^(i pi) + 1 = 0 6 ben.is.located@gmail.com
time invariant force conserves energy 32 ben.is.located@gmail.com
escape velocity 23 ben.is.located@gmail.com
Schwarzschild radius for non-rotating black hole 4 https://en.wikipedia.org/wiki/Derivation_of_the_Schwarzschild_solution ben.is.located@gmail.com
coefficient of thermal expansion using the equation of state for an ideal gas 9 https://notendur.hi.is/hj/EE2/HD1lausn.pdf ben.is.located@gmail.com
equations of motion in 2D (calculus) 40 ben.is.located@gmail.com
angle of maximum distance for projectile motion 23 ben.is.located@gmail.com
Newton's Law of Gravitation from https://www.youtube.com/watch?v=fJYdFIZlD8k 19 ben.is.located@gmail.com
radius for satellite in geostationary orbit 16 https://en.wikipedia.org/wiki/Geostationary_orbit#Derivation_of_geostationary_altitude ben.is.located@gmail.com
equations of motion in 1D with constant acceleration - SUVAT (algebra) 31 https://en.wikipedia.org/wiki/Equations_of_motion ben.is.located@gmail.com
velocity at distance r of object dropped from infinity https://www.youtube.com/watch?v=5F1XcTjpJs4 - Derivation of Gravitational Potential Energy by Rhett Allain 26 ben.is.located@gmail.com
coefficient of isothermal compressibility using the equation of state for an ideal gas 9 https://notendur.hi.is/hj/EE2/HD1lausn.pdf ben.is.located@gmail.com
speed of Earth around Sun from \cite{1999_Tipler_Llewellyn}, page 9 13 ben.is.located@gmail.com
first law of thermodynamics https://www.youtube.com/watch?v=QTiqF-HtkS0 and https://www.youtube.com/watch?v=3Yls-t3B49U 12 ben.is.located@gmail.com
optics: Law of refraction to Brewster's angle \cite{2001_HRW}; see figure 34-27 on page 824 15 ben.is.located@gmail.com
mass of the Earth 12 ben.is.located@gmail.com
double intensity when phase is coherent (optics) 33 ben.is.located@gmail.com
Lorentz transformation source: \cite{1999_Tipler_Llewellyn}, page 21; see also https://en.wikipedia.org/wiki/Lorentz_transformation and https://en.wikipedia.org/wiki/Derivations_of_the_Lorentz_transformations 30 ben.is.located@gmail.com
upper limit on velocity in condensed matter 20 https://arxiv.org/pdf/2004.04818.pdf ben.is.located@gmail.com
equation of motion for a spring 15 ben.is.located@gmail.com
total electrical resistance for circuit with two resistors in parallel 10 http://www.dfcd.net/articles/derivations/resistors.html ben.is.located@gmail.com
hyperbolic trigonometric identities 28 http://www.physics.miami.edu/~nearing/mathmethods/mathematical_methods-one.pdf ben.is.located@gmail.com
Langmuir Adsorption from https://arxiv.org/pdf/2210.12150.pdf 20 ben.is.located@gmail.com
Kepler's Third Law: period squared propto distance cubed 20 https://en.wikipedia.org/wiki/Kepler%27s_laws_of_planetary_motion#Third_law ben.is.located@gmail.com
frequency and period subset of the frequency relation derivation. Intended for display on the homepage 4 ben.is.located@gmail.com
total electrical resistance for circuit with two resistors in series 8 http://www.dfcd.net/articles/derivations/resistors.html ben.is.located@gmail.com
projectile path in 2D is parabolic Using the 2D equations of motion, show that projectile path is second order polynomial of the form y = a x^2 + b x + c 5 ben.is.located@gmail.com
work and force and energy 9 ben.is.located@gmail.com
Euler equation proof 12 ben.is.located@gmail.com
Euler equation: trig square root 16 ben.is.located@gmail.com
Euler equation: trigonometric relations 12 ben.is.located@gmail.com
Maxwell equations to electric field wave equation 12 ben.is.located@gmail.com

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