What is Noether's theorem and how does it relate symmetries to conserved quantities?
Emmy Noether proposed a theorem that states that for every symmetry in physics, there is a conserved quantity. For example, for the symmetry that the laws of physics are unchanged by a translation in space, a rotation in space, or an offset in time, the corresponding conserved quantities are linear momentum, angular momentum, and the conservation of energy.
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### Instruction: What is Noether's theorem and how does it relate symmetries to conserved quantities?
### Input: 
### Response: Emmy Noether proposed a theorem that states that for every symmetry in physics, there is a conserved quantity. For example, for the symmetry that the laws of physics are unchanged by a translation in space, a rotation in space, or an offset in time, the corresponding conserved quantities are linear momentum, angular momentum, and the conservation of energy.