Approaches To Path Integrals
Functional integrals where the space of integration are paths (ν = 1) can be defined in many different ways. The definitions fall in two different classes: the constructions derived from Wiener's theory yield an integral based on a measure; whereas the constructions following Feynman's path integral do not. Even within these two broad divisions, the integrals are not identical, that is, they are defined for different classes of functions.
Read more about this topic: Functional Integration
Famous quotes containing the words approaches to, approaches and/or path:
“Perfect happiness I believe was never intended by the deity to be the lot of any one of his creatures in this world; but that he has very much put in our power the nearness of our approaches to it, is what I steadfastly believe.”
—Thomas Jefferson (1743–1826)
“You should approach Joyce’s Ulysses as the illiterate Baptist preacher approaches the Old Testament: with faith.”
—William Faulkner (1897–1962)
“Another danger is imminent: A contested result. And we have no such means for its decision as ought to be provided by law. This must be attended to hereafter.... If a contest comes now it may lead to a conflict of arms. I can only try to do my duty to my countrymen in that case. I shall let no personal ambition turn me from the path of duty. Bloodshed and civil war must be averted if possible. If forced to fight, I have no fears from lack of courage or firmness.”
—Rutherford Birchard Hayes (1822–1893)