Question: Sentence 1: Offer prayers to the gods.
Sentence 2: The Shakespeare Company is offering 'King Lear' this month.
Does offer mean the same thing in these two sentences?
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Answer: different meanings

Question: Sentence 1: The fringe of a picture.
Sentence 2: Interference fringe.
Does fringe mean the same thing in these two sentences?
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Answer: different meanings

Question: Sentence 1: The mercury was falling rapidly.
Sentence 2: The mercury there has averaged 37.6C, 2.3C above the February norm.
Does mercury mean the same thing in these two sentences?
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Answer:
the same meaning