Principal Part

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:

    “The principal saloon was the Howlin’ Wilderness, an immense log cabin with a log fire always burning in the huge fireplace, where so many fights broke out that the common saying was, “We will have a man for breakfast tomorrow.””
    —For the State of California, U.S. public relief program (1935-1943)

    “Science is an integral part of culture. It’s not this foreign thing, done by an arcane priesthood. It’s one of the glories of the human intellectual tradition.”
    —Stephen Jay Gould (b. 1941)