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Noether's theorem is a fundamental result in theoretical physics and mathematics that establishes a profound relationship between symmetries and conservation laws. Named after the German mathematician Emmy Noether, the theorem essentially states that for every continuous symmetry of a physical system, there corresponds a conserved quantity. In more precise terms: 1. **Continuous Symmetries**: These are transformations of a physical system that can be performed smoothly and without abrupt changes.

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  1. Calculus of variations
  2. Mathematical physics
  3. Applied mathematics
  4. Fields of mathematics
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