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Newsgroups: sci.math
From: lundslakt...@yahoo.com
Date: Wed, 27 Aug 2008 08:53:36 -0700 (PDT)
Local: Wed, Aug 27 2008 10:53 pm
Subject: SOLOUTION?, CONVERGE?
LET: f_0(x)=0 f_(n+1)(x) = sqrt[ f_n'(x)-B(x) ] LET: f_n --------> f when n ---------> 00 THEN f is a soloution to f'(x) = f(x)^2 + B(x) CORRECT? FOR WHICH B(x) DOES f_n CONVERGE?
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Newsgroups: sci.math
Followup-To: sci.math
From: "lassie" <inva...@invalid.invalid>
Date: Wed, 27 Aug 2008 11:10:19 -0500
Local: Wed, Aug 27 2008 11:10 pm
Subject: Re: SOLOUTION?, CONVERGE?
<lundslakt ...@yahoo.com> wrote in message news:73561428-54e1-48c0-b935-bb04677c89f5@m3g2000hsc.googlegroups.com... > LET: > f_0(x)=0 > f_(n+1)(x) = sqrt[ f_n'(x)-B(x) ]
what is n'(x) ? differential? with respect to what? > LET: f_n --------> f when n ---------> 00
how can that be?
> THEN f is a soloution to > f'(x) = f(x)^2 + B(x) > CORRECT? > FOR WHICH B(x) DOES f_n CONVERGE?
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Newsgroups: sci.math
From: A N Niel <ann...@nym.alias.net.invalid>
Date: Wed, 27 Aug 2008 13:03:35 -0400
Local: Thurs, Aug 28 2008 12:03 am
Subject: Re: SOLOUTION?, CONVERGE?
In article <g93u93$5v...@news.albasani.net>, lassie f_n' = derivative of f_n
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Newsgroups: sci.math
From: A N Niel <ann...@nym.alias.net.invalid>
Date: Wed, 27 Aug 2008 13:58:07 -0400
Local: Thurs, Aug 28 2008 12:58 am
Subject: Re: SOLOUTION?, CONVERGE?
In article <73561428-54e1-48c0-b935-bb04677c8...@m3g2000hsc.googlegroups.com>, <lundslakt ...@yahoo.com> wrote: > LET: > f_0(x)=0 > f_(n+1)(x) = sqrt[ f_n'(x)-B(x) ] > LET: f_n --------> f when n ---------> 00 > THEN f is a soloution to > f'(x) = f(x)^2 + B(x) > CORRECT? > FOR WHICH B(x) DOES f_n CONVERGE?
I tried B(x) = -x^2 (so that the square-root would exist), but after about 10 steps it did not look like it was converging on [0,2].
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