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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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At a purely formal level, one could call probability theory the study of measure spaces with total measure one, but that would be like calling number theory the study of strings of digits which terminate.

Terence Tao

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Terence Tao

Terence Tao
Creative Commons

Born: July 17, 1975 (age 49)
Bio: Terence "Terry" Chi-Shen Tao is an Australian-American mathematician who has worked in various areas of mathematics.
Known for:
  1. Solving Mathematical Problems (1992)
  2. An Introduction to Measure Theory (2011)
  3. Structure and randomness (2008)
  4. Analysis II (2016)
  5. Higher Order Fourier Analysis (2012)

WikipediaTerence Tao on Wikipedia

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