Word: theorems
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Dates: during 2000-2009
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...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...
...earlier part of this decade), others create social value with nonprofit work, others create artistic value through films, plays, and articles. All of these are means of learning to create something well, whether it is a piece of historical writing or a ceramic bowl or a mathematical theorem...
...sixth century B.C., Livio uses Pythagoras, Plato, and Archimedes to demonstrate that there is an intimate relationship between the most basic arithmetic and much more complicated and inaccessible abstract logic. Revelations abound, from the logical basis for counting, to the foundation of prime numbers, and the Pythagorean Theorem. But there are an equal number of instances where Livio’s explanations fall short, such as when he discusses knots or how gravity operates in the solar system. In these cases, Livio loses himself in the history of the discoveries and overwhelms the reader with superfluous information and terminology...
...finding a rich tradition of discussion on the subject extending back to ancient times. Indeed, the narrative of voting philosophy flows through the French Revolution, finds an unlikely mouthpiece in author Lewis Carroll, and continues to 20th-century economist Kenneth Arrow’s famed “impossibility theorem.” The theorem, which roughly proves that no ranked voting system can be fair, had an enormous impact on democratic thought.But by amplifying the discussion, the theorem also led to consideration of various other voting methods. Poundstone evaluates these alternatives, highlighting the merits and faults of each...