# _embedded.derivations[].name_latex
electric field wave equation: from time dependent to time independent

# _embedded.derivations[].name_latex
quantum basics Hermitian operators have realvalued observables

# _embedded.derivations[].name_latex
identity sin(2 x) = 2 sin(x) cos(x) using Euler's equation

# _embedded.derivations[].name_latex
Schwarzschild radius for non-rotating black hole

# _embedded.derivations[].name_latex
coefficient of thermal expansion using the equation of state for an ideal gas

# _embedded.derivations[].name_latex
angle of maximum distance for projectile motion

# _embedded.derivations[].name_latex
radius for satellite in geostationary orbit

# _embedded.derivations[].name_latex
equations of motion in 1D with constant acceleration - SUVAT (algebra)

# _embedded.derivations[].abstract_latex
https://www.youtube.com/watch?v=5F1XcTjpJs4 - Derivation of Gravitational Potential Energy by Rhett Allain

# _embedded.derivations[].name_latex
velocity at distance r of object dropped from infinity

# _embedded.derivations[].name_latex
coefficient of isothermal compressibility using the equation of state for an ideal gas

# _embedded.derivations[].name_latex
optics: Law of refraction to Brewster's angle

# _embedded.derivations[].name_latex
double intensity when phase is coherent (optics)

# _embedded.derivations[].name_latex
upper limit on velocity in condensed matter

# _embedded.derivations[].name_latex
total electrical resistance for circuit with two resistors in parallel

# _embedded.derivations[].name_latex
Kepler's Third Law: period squared propto distance cubed

# _embedded.derivations[].abstract_latex
subset of the frequency relation derivation. Intended for display on the homepage

# _embedded.derivations[].name_latex
total electrical resistance for circuit with two resistors in series

# _embedded.derivations[].abstract_latex
Using the 2D equations of motion, show that projectile path is second order polynomial of the form y = a x^2 + b x + c

# _embedded.derivations[].name_latex
Maxwell equations to electric field wave equation