Infinite Congruence Theorem
Integration by parts is used as an essential step in deriving the Infinite Congruence Theorem. The derivation follows from the Linear congruence theorem combined with fractal geometry. The result highlights the convenience to express integral equations with respect to the derivatives of the integrand. The results of this theorem have given rise to new numerical techniques for solving integral equations. The theorem has been in heavy use in the field of quantum computing as a result.
Read more about this topic: Integration By Parts
Famous quotes containing the words infinite, congruence and/or theorem:
“The radio ... goes on early in the morning and is listened to at all hours of the day, until nine, ten and often eleven o’clock in the evening. This is certainly a sign that the grown-ups have infinite patience, but it also means that the power of absorption of their brains is pretty limited, with exceptions, of course—I don’t want to hurt anyone’s feelings. One or two news bulletins would be ample per day! But the old geese, well—I’ve said my piece!”
—Anne Frank (1929–1945)
“As for butterflies, I can hardly conceive
of one’s attending upon you; but to question
the congruence of the complement is vain, if it exists.”
—Marianne Moore (1887–1972)
“To insure the adoration of a theorem for any length of time, faith is not enough, a police force is needed as well.”
—Albert Camus (1913–1960)