### All Derivations

Blue nodes are derivations; orange nodes are the expressions common to both derivations.

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derivation name number of steps shares expressions with
Euler equation proof 12
Euler equation: trig square root 16
Euler equation: trigonometric relations 12
Maxwell equations to electric field wave equation 12
curl curl identity 9
derivation of Schrodinger Equation 39
electric field wave equation: from time dependent to time independent 11
frequency relations 11
integration by parts 5
particle in a 1D box 39
quantum basics Hermitian operators have realvalued observables 7
quantum basics orthogonality 9
variance relation 6
Compton's equation for scattering 8
identity sin(2 x) = 2 sin(x) cos(x) using Euler's equation 9
Euler equation to e^(i pi) + 1 = 0 6
time invariant force conserves energy 32
optics: Law of refraction to Brewster's angle 15
frequency and period 4
speed of Earth around Sun 13
Lorentz transformation 30
equations of motion in 1D with constant acceleration - SUVAT (algebra) 31
double intensity when phase is coherent (optics) 33
equations of motion in 2D (calculus) 40
projectile path in 2D is parabolic 5
angle of maximum distance for projectile motion 23
work and force and energy 9
escape velocity 23
Schwarzschild radius for non-rotating black hole 4
total electrical resistance for circuit with two resistors in series 8
total electrical resistance for circuit with two resistors in parallel 10
radius for satellite in geostationary orbit 16
mass of the Earth 12
first law of thermodynamics 12
coefficient of isothermal compressibility using the equation of state for an ideal gas 9
coefficient of thermal expansion using the equation of state for an ideal gas 9
upper limit on velocity in condensed matter 20
velocity at distance r of object dropped from infinity 26
hyperbolic trigonometric identities 28
equation of motion for a spring 15
Physics Derivation Graph: 41 Derivations

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