Characterizations of The Exponential Function

Characterizations Of The Exponential Function

In mathematics, the exponential function can be characterized in many ways. The following characterizations (definitions) are most common. This article discusses why each characterization makes sense, and why the characterizations are independent of and equivalent to each other. As a special case of these considerations, we will see that the three most common definitions given for the mathematical constant e are also equivalent to each other.

Read more about Characterizations Of The Exponential Function:  Characterizations, Larger Domains, Why Each Characterization Makes Sense, Equivalence of The Characterizations

Famous quotes containing the word function:

    The fact remains that the human being in early childhood learns to consider one or the other aspect of bodily function as evil, shameful, or unsafe. There is not a culture which does not use a combination of these devils to develop, by way of counterpoint, its own style of faith, pride, certainty, and initiative.
    Erik H. Erikson (1904–1994)