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:
“God should not be called an individual substance, since the principal of individuation is matter.”
—Thomas Aquinas (c. 1225–1274)
“At first, he savored only the material quality of the sounds secreted by the instruments. And it had already been a great pleasure when, beneath the tiny line of the violin, slender, resistant, dense and driving, he noticed the mass of the piano’s part seeking to arise in a liquid splashing, polymorphous, undivided, level and clashing like the purple commotion of wave charmed and flattened by the moonlight.”
—Marcel Proust (1871–1922)