Formal Statement
Let be a function such that exists, and is continuous. Then,
where the partial derivative of indicates that inside the integral only the variation of with is considered in taking the derivative.
Read more about this topic: Leibniz Integral Rule
Famous quotes containing the words formal and/or statement:
“Two clergymen disputing whether ordination would be valid without the imposition of both hands, the more formal one said, Do you think the Holy Dove could fly down with only one wing?”
—Horace Walpole (17171797)
“The force of truth that a statement imparts, then, its prominence among the hordes of recorded observations that I may optionally apply to my own life, depends, in addition to the sense that it is argumentatively defensible, on the sense that someone like me, and someone I like, whose voice is audible and who is at least notionally in the same room with me, does or can possibly hold it to be compellingly true.”
—Nicholson Baker (b. 1957)