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angle of maximum distance for projectile motion
coefficient of isothermal compressibility using the equation of state for an ideal gas
coefficient of thermal expansion using the equation of state for an ideal gas
Compton's equation for scattering
curl curl identity
derivation of Schrodinger Equation
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double intensity when phase is coherent (optics)
electric field wave equation: from time dependent to time independent
equation of motion for a spring
equations of motion in 1D with constant acceleration - SUVAT (algebra)
equations of motion in 2D (calculus)
escape velocity
Euler equation proof
Euler equation to e^(i pi) + 1 = 0
Euler equation: trig square root
Euler equation: trigonometric relations
first law of thermodynamics
frequency and period
frequency relations
hyperbolic trigonometric identities
identity sin(2 x) = 2 sin(x) cos(x) using Euler's equation
integration by parts
Kepler's Third Law: period squared propto distance cubed
Langmuir Adsorption
Lorentz transformation
mass of the Earth
Maxwell equations to electric field wave equation
Newton's Law of Gravitation
optics: Law of refraction to Brewster's angle
particle in a 1D box
projectile path in 2D is parabolic
quadratic equation derivation
quantum basics Hermitian operators have realvalued observables
quantum basics orthogonality
radius for satellite in geostationary orbit
Schwarzschild radius for non-rotating black hole
speed of Earth around Sun
time invariant force conserves energy
total electrical resistance for circuit with two resistors in parallel
total electrical resistance for circuit with two resistors in series
upper limit on velocity in condensed matter
variance relation
velocity at distance r of object dropped from infinity
work and force and energy
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