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:

    Rather than have it the principal thing in my son’s mind, I would gladly have him think that the sun went round the earth, and that the stars were so many spangles set in the bright blue firmament.
    Thomas Arnold (1795–1842)

    I think of you more often than of anyone else in this part of the world. I’d have liked to have you for a sweetheart, or a wife, or my mother or my sister—anything that a woman can be to a man. The idea of you is a part of my mind; you influence my likes and dislikes, all my tastes, hundreds of times when I don’t realize it. You really are a part of me.
    Willa Cather (1873–1947)