Division of Complex Numbers
Dividing two complex numbers results in another complex number when the divisor is not 0, defined thus:
All four quantities are real numbers. r and s may not both be 0.
Division for complex numbers expressed in polar form is simpler than the definition above:
Again all four quantities are real numbers. r may not be 0.
Read more about this topic: Division (mathematics)
Famous quotes containing the words division of, division, complex and/or numbers:
“The glory of the farmer is that, in the division of labors, it is his part to create. All trade rests at last on his primitive activity.”
—Ralph Waldo Emerson (1803–1882)
“Major [William] McKinley visited me. He is on a stumping tour.... I criticized the bloody-shirt course of the canvass. It seems to me to be bad “politics,” and of no use.... It is a stale issue. An increasing number of people are interested in good relations with the South.... Two ways are open to succeed in the South: 1. A division of the white voters. 2. Education of the ignorant. Bloody-shirt utterances prevent division.”
—Rutherford Birchard Hayes (1822–1893)
“When distant and unfamiliar and complex things are communicated to great masses of people, the truth suffers a considerable and often a radical distortion. The complex is made over into the simple, the hypothetical into the dogmatic, and the relative into an absolute.”
—Walter Lippmann (1889–1974)
“The barriers of conventionality have been raised so high, and so strangely cemented by long existence, that the only hope of overthrowing them exists in the union of numbers linked together by common opinion and effort ... the united watchword of thousands would strike at the foundation of the false system and annihilate it.”
—Mme. Ellen Louise Demorest 1824–1898, U.S. women’s magazine editor and woman’s club movement pioneer. Demorest’s Illustrated Monthly and Mirror of Fashions, p. 203 (January 1870)