Question

what is the relation of 'conservation of energy and mathematics'

Answer 1

Answer:-

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In general it is a consequence of Noether's theorem relating to temporal symmetry. If a physical system is invariant with respect to translations in time, then the total energy must be conserved. What that means is that the simple observation that the laws of physics don't change with time implies that the total energy must be conserved.

The conservation of energy can be revealed using classical mechanics. In particular by determining the Hamilton and showing that it is not time dependent.

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