The principal part at of a function
is the portion of the Laurent series consisting of terms with negative degree. That is,
is the principal part of at . has an essential singularity at, if and only if the principal part is an infinite sum.
Famous quotes containing the words principal and/or part:
“All animals, except man, know that the principal business of life is to enjoy it.”
—Samuel Butler (1835–1902)
“If the accumulated wealth of the past generations is thus tainted,—no matter how much of it is offered to us,—we must begin to consider if it were not the nobler part to renounce it, and to put ourselves in primary relations with the soil and nature, and abstaining from whatever is dishonest and unclean, to take each of us bravely his part, with his own hands, in the manual labor of the world.”
—Ralph Waldo Emerson (1803–1882)