Paysages Mathématiques: "Theorem of the Day (April 3, 2…" - Mathstodon

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Theorem of the Day (April 3, 2025) : Noether’s Symmetry Theorem
Source : Theorem of the Day / Robin Whitty
pdf : https://www.theoremoftheday.org/MathPhysics/Noether/TotDNoether.pdf
notes : https://www.theoremoftheday.org/Resources/TheoremNotes.htm#86

#mathematics #maths #math #theorem @Theoremoftheday

Comprehensive presentation of the "Theorem of the Day", starting with a statement of this theorem.
Noether’s Symmetry Theorem : Suppose a system of particles in classical mechanics exhibits some symmetry, i.e. its Lagrangian, L , is invariant under changes to some variable s, so that ∂L/∂s = 0. Then there is some associated property C of the system which is conserved: dC/dt = 0.

Apr 03, 2025, 10:00 AM·

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