Derivation list: Physics Derivation Graph

List of Derivations

To select a derivation click on a link in the table.

To filter the table of derivations enter a derivation ID or string in the form field.

Case-insensitive fuzzy Search:

The derivation ID below links to a page where you can review that derivation.

name	abstract	number of steps	reference
angle of maximum distance for projectile motion		23
coefficient of isothermal compressibility using the equation of state for an ideal gas		9	https://hj.hi.is/EE2/HD1lausn.pdf
coefficient of thermal expansion using the equation of state for an ideal gas		9	https://hj.hi.is/EE2/HD1lausn.pdf
Compton's equation for scattering		8
curl curl identity		9
derivation of Schrodinger Equation		39
double intensity when phase is coherent (optics)		33
electric field wave equation: from time dependent to time independent		11
equation of motion for a spring		15
equations of motion in 1D with constant acceleration - SUVAT (algebra)		31	https://en.wikipedia.org/wiki/Equations_of_motion
equations of motion in 2D (calculus)		40
escape velocity		23
Euler equation proof		12
Euler equation to exp(i pi) + 1 = 0		6
Euler equation: trig square root		16
Euler equation: trigonometric relations		12
Euler's equation from MacLaurin series		4	https://fermatslasttheorem.blogspot.com/2006/02/eulers-formula.html
first law of thermodynamics	https://www.youtube.com/watch?v=QTiqF-HtkS0 and https://www.youtube.com/watch?v=3Yls-t3B49U	12
frequency and period	subset of the frequency relation derivation. Intended for display on the homepage	4
frequency relations		11
hyperbolic trigonometric identities		28	http://www.physics.miami.edu/~nearing/mathmethods/mathematical_methods-one.pdf
identity sin(2 x) = 2 sin(x) cos(x) using Euler's equation		9
integration by parts		5
Kepler's Third Law: period squared propto distance cubed		20	https://en.wikipedia.org/wiki/Kepler%27s_laws_of_planetary_motion#Third_law
Langmuir Adsorption	from https://arxiv.org/pdf/2210.12150.pdf	20
Lorentz transformation	source: \cite{1999_Tipler_Llewellyn}, page 21; see also \url{https://en.wikipedia.org/wiki/Lorentz\_transformation} and \url{https://en.wikipedia.org/wiki/Derivations\_of\_the\_Lorentz\_transformations}	30
mass of the Earth		12
Maxwell equations to electric field wave equation		12
Newton's Law of Gravitation	from https://www.youtube.com/watch?v=fJYdFIZlD8k	19
Newton's Second Law of Motion: vector to scalar	convert vector representation to scalar	6
optics: Law of refraction to Brewster's angle	\cite{2001_HRW}; see figure 34-27 on page 824	15
particle in a 1D box		39
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
quadratic equation derivation		15	https://en.wikipedia.org/wiki/Quadratic_formula#Derivations_of_the_formula
quantum basics Hermitian operators have realvalued observables		7
quantum basics orthogonality		9
radius for satellite in geostationary orbit		16	https://en.wikipedia.org/wiki/Geostationary_orbit#Derivation_of_geostationary_altitude
Schwarzschild radius for non-rotating black hole		4	https://en.wikipedia.org/wiki/Derivation_of_the_Schwarzschild_solution
speed of Earth around Sun	from \cite{1999_Tipler_Llewellyn}, page 9	13
time invariant force conserves energy		32
total electrical resistance for circuit with two resistors in parallel		10	http://www.dfcd.net/articles/derivations/resistors.html
total electrical resistance for circuit with two resistors in series		8	http://www.dfcd.net/articles/derivations/resistors.html
upper limit on velocity in condensed matter		20	https://arxiv.org/pdf/2004.04818.pdf
variance relation		6
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
work and force and energy		9

Actions for Derivations

add new derivation

timing of Neo4j queries:

0.04 seconds for pdg_app/to_list_derivations 9ea9a04f-452d-404c-9cc9-7c5050d14707