In mathematics, specifically measure theory, a complex measure generalizes the concept of measure by letting it have complex values. In other words, one allows for sets whose size (length, area, volume) is a complex number.
Read more about Complex Measure: Definition, Integration in Respect To A Complex Measure, Variation of A Complex Measure and Polar Decomposition, The Space of Complex Measures
Famous quotes containing the words complex and/or measure:
“In ordinary speech the words perception and sensation tend to be used interchangeably, but the psychologist distinguishes. Sensations are the items of consciousness—a color, a weight, a texture—that 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)
“What Congress and the popular sentiment approve is rarely defeated by reason of constitutional objections. I trust the measure will turn out well. It is a great relief to me. Defeat in this way, after a full and public hearing before this [Electoral] Commission, is not mortifying in any degree, and success will be in all respects more satisfactory.”
—Rutherford Birchard Hayes (1822–1893)