An extremely powerful theorem in physics which states that each symmetry of a system leads to a physically conserved quantity. Symmetry under translation corresponds to conservation of momentum, symmetry under rotation to conservation of angular momentum, symmetry in time to conservation of energy, etc.
Noether's Symmetry Theorem
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Cite this as:
Weisstein, Eric W. "Noether's Symmetry Theorem." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/NoethersSymmetryTheorem.html