"The elegance of a mathematical theorem is directly……" — George Polya
"The elegance of a mathematical theorem is directly proportional to the number of independent ideas one can see in the theorem and inversely proportional to the effort it takes to see them."
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George Polya
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47 Quotes by George Polya
George Polya has 47 quotes on this site.
A few more worth reading:
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Quite often, when an idea that could be helpful presents itself, we do not appreciate it, for it is so…
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The world is anxious to admire that apex and culmination of modern mathematics: a theorem so perfectly general that no…
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The first rule of discovery is to have brains and good luck. The second rule of discovery is to sit…
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Mathematics is the cheapest science. Unlike physics or chemistry, it does not require any expensive equipment. All one needs for…
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When introduced at the wrong time or place, good logic may be the worst enemy of good teaching.
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Where should I start? Start from the statement of the problem. ... What can I do? Visualize the problem as…
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If you have to prove a theorem, do not rush. First of all, understand fully what the theorem says, try…
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A great discovery solves a great problem, but there is a grain of discovery in the solution of any problem.…
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Look around when you have got your first mushroom or made your first discovery: they grow in clusters.
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The future mathematician ... should solve problems, choose the problems which are in his line, meditate upon their solution, and…
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If the proof starts from axioms, distinguishes several cases, and takes thirteen lines in the text book ... it may…
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In order to translate a sentence from English into French two things are necessary. First, we must understand thoroughly the…
See all 47 quotes by George Polya »
More Directly Quotes
This quote is filed under Directly Quotes,
one of 1,259 quotes in that category. Here are a few more:
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The most deeply personal of my works are the non-fiction works, the autobiographical works, because there, I'm talking about myself…
— Paul Auster
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I've always felt that a person's intelligence is directly reflected by the number of conflicting points of view he can…
— Abigail Adams
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There is nothing that makes its way more directly into the soul than beauty.
— Joseph Addison
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A drawing is essentially a private work, related only to the artist's own needs; a 'finished' statue or canvas is…
— John Berger
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Film as dream, film as music. No art passes our conscience in the way film does, and goes directly to…
— Ingmar Bergman
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If conservationists will attempt to resume responsibility for their need to eat, they will be led back fairly directly to…
— Wendell Berry
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Market leadership can translate directly to higher revenue, higher profitability, greater capital velocity, and correspondingly stronger returns on invested capital.
— Jeff Bezos
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The greenhouse effect of carbon-dioxide emissions does produce gentle warming if it is not counteracted by unpredictable natural phenomena, but…
— Conrad Black
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Advances in technology will continue to reach far into every sector of our economy. Future job and economic growth in…
— Christopher Bond
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Straight-away the ideas flow in upon me, directly from God, and not only do I see distinct themes in my…
— Johannes Brahms
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When the farmer can sell directly to the consumer, it is a more active process. There's more contact. The consumer…
— Jerry Brown
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January is the garbage can of movies in America, directly after all the Oscar contenders have been out.
— Michael Caine
See all 1,259 Directly Quotes »