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:
“... [a] girl one day flared out and told the principal the only mission opening before a girl in his school was to marry one of those candidates [for the ministry]. He said he didnt know but it was. And when at last that same girl announced her desire and intention to go to college it was received with about the same incredulity and dismay as if a brass button on one of those candidates coats had propounded a new method for squaring the circle or trisecting the arc.”
—Anna Julia Cooper (18591964)
“When we choose to be parents, we accept another human being as part of ourselves, and a large part of our emotional selves will stay with that person as long as we live. From that time on, there will be another person on this earth whose orbit around us will affect us as surely as the moon affects the tides, and affect us in some ways more deeply than anyone else can. Our children are extensions of ourselves in ways our parents are not, nor our brothers and sisters, nor our spouses.”
—Fred Rogers (20th century)