Excerpt from Functions of a Complex Variable

If two or more quantities are such that no one of them suf fers any restriction in regard to the values which it can assume when any values whatsoever are assigned to the others, the quantities are said to be independent.

A quantity is said to be a function of another quantity or of several independent quantities if the former is determined in value whenever particular values are assigned to the latter. The quantity or quantities upon the values of which the value of the function depends, are said to be the independent vari ables of the function.

A function is one-valued, or uniform, when to every set of values assigned to the independent variables there cor responds but one value of the function. It is said to be ri-valued when to every set of values of the independent variables n values of the function correspond.

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