Complex Example
Using complex variables we have the common period function:
As you can see, since the cosine and sine functions are periodic, and the complex exponential above is made up of cosine/sine waves, then the above (actually Euler's formula) has the following property. If L is the period of the function then:
Read more about this topic: Periodic Function
Famous quotes containing the word complex:
“Young children constantly invent new explanations to account for complex processes. And since their inventions change from week to week, furnishing the correct explanation is not quite so important as conveying a willingness to discuss the subject. Become an askable parent.”
—Ruth Formanek (20th century)
“In ordinary speech the words perception and sensation tend to be used interchangeably, but the psychologist distinguishes. Sensations are the items of consciousnessa color, a weight, a texturethat we tend to think of as simple and single. Perceptions are complex affairs that embrace sensation together with other, associated or revived contents of the mind, including emotions.”
—Jacques Barzun (b. 1907)