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Solving Mathematical Problems (1992)
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Understand the problem. What kind of problem is it? There are three main types of problems:
'Show that...' or 'Evaluate...' questions, in which a certain statement has to be proved true, or a certain expression has to be worked out;
'Find a...' or 'Find all...' questions, which requires one to find something (or everything) that satisfies certain requirements;
'Is there a...' questions, which either require you to prove a statement or provide a counterexample (and thus is one of the previous two types of problem).
Terence Tao
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It is better to meet danger than to wait for it. He that is on a lee shore, and foresees a hurricane, stands out to sea and encounters a storm to avoid a shipwreck.
Charles Caleb Colton
Terence Tao
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Born:
July 17, 1975
(age 49)
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