Abstract
This chapter presents the concept of function, interval, and neighborhood. The individual numbers are called elements. When x is a general element of the set, the set is denoted as a whole by {x}. A function is a relation between two variables. If, by any law whatsoever, to each element of the set {x} there corresponds a single definite element of the set {y}, then y is called a function of x. An interval is the set of all real numbers between two fixed numbers a and b (a < b). The numbers a and b, the end-points of the interval, may or may not belong to the set. If they are excluded, then the interval is called open, in the other case closed. Points of an interval that are not end-points are called interior points. An open interval contains only interior points.
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