David Meyer · @dmm
281 followers · 714 posts · Server mathstodon.xyz
"The action, denoted S, is defined to be the sum of the difference between a particle’s kinetic energy [8] and its
potential energy [12] at every point along its path. S is just a number that is associated with the trajectory (path).
The Principle of Least Action states that the path for which the sum of these differences (that is, S) is minimum is
the actual path the particle will take. To show that this is the case all of the proofs that I have seen rely on the fact
that the Principle of Least Action and Newton’s Second Law (F = ma) are equivalent. These notes show this result
below."
A few of my notes on the POLA are here: https://davidmeyer.github.io/qc/pola.pdf. As always, questions/comments/corrections/* greatly appreciated.
#principleofleastaction #newtonianmechanics #lagrangianmechanics
#lagrangianmechanics #newtonianmechanics #principleofleastaction
Pustam Raut🇳🇵(पुस्तम राउत) · @pustam_egr
35 followers · 115 posts · Server mathstodon.xyz"Who Pioneers the Concept of 4-Dimensional Spacetime" by Areeba Merriam 🔗 https://www.cantorsparadise.com/who-pioneers-the-concept-of-4-dimensional-spacetime-ae705369c1b0
#Spacetime #Time #Space #FourDimensionalSpacetime #RelativisticMechanics #NewtonianMechanics #EuclideanGeometry #HyperbolicGeometry #AlbertEinstein #Einstein #DavidHilbert #Hilbert #Lobachevsky #Riemann #Bolyai #HermannMinkowski #Minkowski #Poincaré #Framework #Relativity #GeneralRelativity #SpecialRelativity #Geometry #Mathematics #RelativisticPhysics
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ITSPmagazine 🎙️✨:verified: · @ITSPmagazine
171 followers · 453 posts · Server techhub.social🎙️ ✨ A new episode has been published on @ITSPmagazine
Show: Stories From Space With Matthew S Williams
Episode: The Newtonian Revolution
Podcast format: Audio
Enjoy!
👉 https://www.itspmagazine.com/stories-from-space-podcast
#space #tech #technology #society #philosophy #astronomy #stories #NewtonianRevolution #Newtonian #SirIsaacNewton #NewtonianMechanics
#space #tech #Technology #society #philosophy #astronomy #stories #newtonianrevolution #newtonian #sirisaacnewton #newtonianmechanics