Relay-Version: version B 2.10 5/3/83; site utzoo.UUCP Posting-Version: version B 2.10.2 9/18/84; site rochester.UUCP Path: utzoo!watmath!clyde!burl!ulysses!allegra!bellcore!decvax!genrad!panda!talcott!harvard!seismo!rochester!nemo From: nemo@rochester.UUCP (Wolfe) Newsgroups: net.math Subject: Re: f(x) = (if x = p/q then 1/q else 0) integrable ?? Message-ID: <6025@rochester.UUCP> Date: Thu, 31-Jan-85 16:14:56 EST Article-I.D.: rocheste.6025 Posted: Thu Jan 31 16:14:56 1985 Date-Received: Sun, 3-Feb-85 07:50:20 EST References: <350@decwrl.UUCP> <612@spuxll.UUCP> Organization: U. of Rochester, CS Dept. Lines: 7 > The rationals have measure 0 -- so the integral is 0 regardless of the > integration limits. > > =Ned= It is Lebesgue integrable, as opposed to Riemann-Stiljes integrable. Nemo