Word: theorems
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When confronted with this reality, political analysts and commentators often exclaim helplessness at the outcome, citing Kenneth Arrow’s “impossibility theorem” as a justification for using a flawed voting system. Arrow, a Stanford economist, won the Nobel Prize in Economics for his theorem explaining that no voting system could perfectly represent the preferences of a group of voters. According to the theorem, a perfectly representative voting system would create an outcome where the ranking of winners would align with voter preferences, unanimity would be respected, there would be no dictators, and irrelevant choices...
...William Poundstone observes in his book “Gaming the Vote,” it is important to realize that the existence of the impossibility theorem certainly does not rule out the prospect of improving our electoral system. Rather, the theorem sets an important foundation for a discussion of the efficiency and representative nature of voting systems, and should encourage the discussion of electoral improvements in local, state, and federal governments...
...culture, it may be that math is less appealing to girls. To change this equation, actress Danica McKellar has written math textbooks with covers resembling Cosmopolitan, and Austrian artist Peren Linn has designed jeans with Fermat’s Last Theorem imprinted on them, to merge elliptic curves with feminine ones...
...track and field meet than working through abstract math problem sets in the library. Ask him to explain “A Universal Degree Bound for Rings of Invariants of n Point Configurations Modulo Torus Actions,” and that stereotype quickly disappears. But his understanding of the theorem shouldn’t come as a surprise, considering that he proved it this past summer with two professors in a Research Experience for Undergraduates (REU) program at the University of Michigan...
...It’s a lot of trial and error,” said Brito. “It was frustrating and stressful, and some days you just don’t feel like doing the work. But it feels cool to have your name on a theorem...