To express the relationship in this form, we need to be able to write the relationship where p is a function of n, which means writing it as p = [something involving n].

A function space is a topological space whose points are functions. There are many di®erent kinds of function spaces, and there are usually several di®erent topologies that can be placed …

Function: A function is a relation in which each possible input value leads to exactly one output value. We say “the output is a function of the input.” The input values make up the domain, …

Here are a few examples of functions. We will look at them in more detail during the lecture. Very important are polynomials, trigonometric functions, the exponential and logarithmic function. …

Function Notation/Evaluating a Function: The notation y = f (x ) provides a way of denoting the value of y (the dependent variable) that corresponds to some input number x (the independent …

When a function f is defined with a rule or an equation using x and y for the independent and dependent variables, we say, “y is a function of x” to emphasize that y depends on x.

Function: A rule for a relationship between an input, or independent, quantity and an output, or dependent, quantity in which each input value uniquely determines one output value.