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Answer: Context: In mathematics, the VitaliCaratheodory theorem is a result in real analysis that shows that, under the conditions stated below, integrable functions can be approximated in L from above and below by lower- and upper-semicontinuous functions, respectively. It is named after Giuseppe Vitali and Constantin Caratheodory.

Hypothesis: Giuseppe Vitali and Constantin Caratheodory are both accomplished mathematicians.

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Answer: Context: That theory, a concept first proposed by Albert Einstein and often reiterated by British astrophysicist Stephen Hawking, seeks to find a single set of equations that can explain all the fundamental forces in the universe: gravity, electromagnetism, and the strong and weak interactive forces among subnuclear particles.

Hypothesis: Other physicists disagreed with the theories of Einstein.

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Answer: Context: Trumpet<br>I was at my aunt's house. She asked my cousin to wake up my other cousin. So she went to his room. I heard a trumpet. Then I heard her being chased.

Hypothesis: my cousin plays the piano

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Answer:
Context: You rifle through your visual memory and there it is: Vermeer, the 17th-Century Dutch artist who painted extraordinary portraits of women engaged in the ordinary -- writing a letter, making lace or putting on a necklace of pearls.

Hypothesis: Vermeer was a 18th-Centuary Dutch artist.