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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: <dnv48c$och$1@smc.vnet.net> <do3lkh$o22$1@smc.vnet.net>
• 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
>