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 difference between love and hate is that love is a irradiation, and hate is a concentration. Love makes everything lovely; hate concentrates itself on the object of its hatred.”
—Sydney J. Harris (b. 1917)
“A real man doesn’t have to run from his mother, and may even have to face the reality that no great deed is going to be great enough for him to ransom himself completely, and he may always be in his mother’s debt. If he understands that . . . he won’t have to feel guilty, and he won’t have to please her completely. He can go ahead and be nice to her and let her be part of his life.”
—Frank Pittman (20th century)