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This enables students to formulate an insightful and explicable chain of reasoning that constitutes a mathematical proof that is both externally valid and internally meaningful.
It was the first irrefutable mathematical proof that black holes - as they were later dubbed - had to exist.
Part child of Darwin and part mystic, Nietzsche searched for mathematical proof that time and space might actually intersect to make the "eternal recurrence" possible.
It was a short step from his 1936 dream of a computing future to a mathematical proof that most problems cannot be solved by any computer!
For now, Dr. Rabin's idea is simply a scheme backed up by a mathematical proof that he has been presenting to scientists at seminars.
His mathematical proof that classic markets function as efficiently as Adam Smith had theorized provided the groundwork for his pupil Gérard Debreu to win a Nobel in 1983.
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To address their students' needs in this area, the instructors ensured that online tutorials were available to students, mathematical proofs that the students are not expected use were de-emphasized, and Modeling Instruction labs were incorporated that require students to model their own data with an equation and compose a verbal link between their equations and the physical world.
He recommended that Mr. McBurney read Hardy's book "A Mathematician's Apology," which compared the creative work of the mathematical proof to that of a painter or a poet.
While at M.I.T., they spent hours together in libraries, apartments and delis, discussing girlfriends, the Vietnam War and the mathematical proof showing that there is no highest prime number.
To convince potential donors that they were getting a good deal, the school's dean, Michael M. Knetter, sent out a mathematical proof showing that naming rights of business schools like Wisconsin's have been increasing in value at about 8percentt a year, Genevieve Smith writes.
Furthermore, mathematical proof shows that the proposed enhanced locally ideal PWL model is the convex envelope of the PWL cost function.
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