Re: Gray's Differential Geometry error?
- To: mathgroup at smc.vnet.net
- Subject: [mg63208] Re: Gray's Differential Geometry error?
- From: "Jean.Pellegri" <Jean.Pellegri at wanadoo.fr>
- Date: Mon, 19 Dec 2005 07:01:00 -0500 (EST)
- References: <email@example.com> <firstname.lastname@example.org>
- Sender: owner-wri-mathgroup at wolfram.com
Bonjour Other problem : At the top fo page 9 , line 2 , at the end of theorem 1.4 , il appears to me that i = 1,...,N and not i = 1,...,n . In this theorem, we have alpha(t_i) (partitions of the curve) Cordialement Jean Pellegri "rip pelletier" <bitbucket at comcast.net> a écrit dans le message de news: do3lkh$o22$1 at smc.vnet.net... > In article <dnv48c$och$1 at smc.vnet.net>, > "Steven T. Hatton" <hattons at globalsymmetry.com> wrote: > >> >> It appears to me that, according to his definitions, all the summations >> on >> page 9 should be from 1 to n, and not 1 to N. That doesn't matter so >> much. >> I can be pretty confident of the intent from the context. My real >> confusion comes from the epsilon inequality involving N on page 10. I'm >> not sure which N he means. Is it the N representing the number of >> partitions of the curve, or is it the N representing the number of >> dimensions in R^n? > > it appears to me that you are correct: the summations on p. 9 are to n > not N. this implies that the N in the delta-epsilon bound on p. 10 is > supposed to be n also, not N. he applies that common bound on p. 10 to > each of n terms in the sum that defines Bj. > > hope this helps. > > oh, i'd call it a wonderful little book; the only problem is that it > isn't little, of course. > > vale, > rip > > -- > NB eddress is r i p 1 AT c o m c a s t DOT n e t >