Question: Sentence 1: Do you want to come over to my place later?
Sentence 2: Your place or mine?
Does place mean the same thing in these two sentences?
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Answer: the same meaning

Question: Sentence 1: Place a phone call.
Sentence 2: He bet $2 on number six to place.
Does place mean the same thing in these two sentences?
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Answer: different meanings

Question: Sentence 1: In an optimization problem we seek values of the variables that lead to an optimal value of the function that is to be optimized.
Sentence 2: The simultaneous optimization of growth and profitability.
Does optimization mean the same thing in these two sentences?
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Answer:
the same meaning