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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: the VitaliCaratheodory theorem was made by Giuseppe Vitali

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Answer: Context: Charantin is a chemical substance obtained from the Asian bitter melon ("Momordica charantia"), reputed to be responsible for the hypoglycaemic properties of those plants. It was identified by Lolitkar and Rao in 1960. It was also found in the similar African species "M. foetida", by A. Olaniyi in 1975, under the name foetidin.

Hypothesis: Lolitkar and Rao only like bitter melons.

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Answer: Context: "It's a vote of confidence that the momentum is going to continue", Doyle said . The momentum also appears to be moving south . The Mexican election is the latest indication that the free-market reforms that have swept Latin America during the past decade are gaining political acceptance . In Brazil , prices rose sharply , reacting to the Mexico vote and to new polls favorable to free-market presidential candidate Fernando Henrique Cardoso .

Hypothesis: Prices in Brazil reacted to polls favoring a free-market foe.

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Answer:
Context: David L. MacFarlane, PhD (March 13, 1893 January 3, 1953) was an American educator most notable for serving as president of the Kansas State Teachers College (KSTC), now known as Emporia State University. Before heading the Kansas State Teachers College, MacFarlane was a professor of history in a couple of institutions in Kansas.

Hypothesis: He served as a president for most of his life