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Answer:
Each conservation law of a given partial differential equation is determined (up to equivalence) by a function known as the characteristic. This function is used to find conservation laws, to prove equivalence between conservation laws, and to prove the converse of Noether's Theorem.
Explanation:
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For number one, you are looking for the sentence that basically makes the most sense. In this instance, it is
B: Our team practiced hard this week; therefore, we expect to do well at the game tonight.
For number 2, it’s the same thing. Looking for the sentence that sounds correct. In this case, it is
A: The transmission needs to be completely replaced; the car also needs a new muffler.
For number three, you are looking for the sentence that correctly lists the things in the sentence. In this instance, it is
B: I would like to go to the beach in Barcelona, Spain; Honolulu, Hawaii; and Rio Dijenero, Brazil.
For number four, the same thing follows as the question above. Your answer would be
B: For dinner you can choose steak, chicken, or pork; baked potatoes, mashed potatoes, or fries; and broccoli, green beans, or salad.