Relay-Version: version B 2.10 5/3/83; site utzoo.UUCP Posting-Version: version B 2.10.2 9/5/84; site aecom.UUCP Path: utzoo!watmath!clyde!burl!ulysses!unc!mcnc!philabs!aecom!werner From: werner@aecom.UUCP (Craig Werner) Newsgroups: net.math Subject: Re: Any # as infinite series Message-ID: <1088@aecom.UUCP> Date: Mon, 7-Jan-85 17:16:10 EST Article-I.D.: aecom.1088 Posted: Mon Jan 7 17:16:10 1985 Date-Received: Wed, 9-Jan-85 08:18:37 EST References: <17957@lanl.UUCP> <28200048@uiucdcs.UUCP> Organization: Albert Einstein Coll. of Med., NY Lines: 14 > In fact, any real number can be computed as an infinite series. Let > d(i) be the ith digit after the decimal point and let d(0) be the > integer part (to the left of the decimal point). Then > > number = d(0)/10^0 + d(1)/10^1 + d(2)/10^2 + d(3)/10^3 + ... That is not an infinite series. That is a representation, since it is not invariant under base changes. PI can be expressed as the same infiniite series in decimal and in binary, the above cannot, since d(n) is arbitrary as noted above. -- Craig Werner !philabs!aecom!werner What do you expect? Watermelons are out of season!