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complex analysis
noun
Mathematics
.
the branch of mathematics dealing with analytic functions of a complex variable.
Dictionary.com Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2012.
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"In many ways chess ... is very like philosophy. Both have long histories which most practitioners are aware of and frequently consult. The chess master is just as likely to be found replaying the past games of Morphy and Capablanca as the modern philosopher is to be found rehearsing the arguments of Descartes and Kant. Further, chess games, like philosophical problems, can often be sufficiently complex to defy complete analysis. It has been calculated that after only two full moves 71,852 legal positions can be reached, while the number of distinct forty-move games is the colossal figure of 25 x 10115. Chess is also similar to philosophy in possessing a number of long-standing unsolved problems. There is for white, however expert, no opening which will guarantee victory, and no response from black which can be relied upon to preserve him from defeat."
-Derek Gjertsen
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