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Getting it as specific as possible clearly may detract from the possibility to generalise the findings to a broader theory of functioning.
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They hold a banquet annually, and discuss such subjects as the theory of function, differential equations, etc.
He also made important contributions to the theory of functions, complex analysis, and number theory.
He worked on the general theory of functions, concerning relationships between independent and dependent variables.
In 1909 he was appointed to the chair of theory of functions created for him at the Sorbonne.
His A Course of Modern Analysis (1902) was the first book in English to present the theory of functions of a complex variable at an undergraduate level.
His work also had a great influence on the theory of functions of a real variable, one of the main branches of modern mathematics.
From his studies of complex variable theory, he wrote The Theory of Functions (1932), which became a leading textbook on real and complex function theory and was translated into numerous languages.
In 1918 he published a set theory, the following year a theory of measure, and by 1923 a theory of functions, all developed without using the principle of the excluded middle.
The result is an intensional theory of functions as rules of computation, contrasting with an extensional theory of functions as sets of ordered pairs.
An account of malfunction must be parasitic on a theory of function.
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