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Article #13684Q: Number of Extremal Points
From: Holger Kirschner t2601
Date: Tue, 16 Jul 1996 00:00
Date: Tue, 16 Jul 1996 00:00
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Let S(x) be the Sum over the N functions f_i(x):
S(x):= f_1(x) + f_2(x) + ... + f_N(x)
With:
f_i(x):= a_i tanh(b_i + c_i * x)
a_i , b_i , c_i can be every real number
Does anyone how to (upper) limit the number of extremal points of S(x) for
a given N.
An upper limit for the number of roots (S(x)=0) would be helpfull too.
Helpfull would as well be a hint where to look up stuff like this.
Thanks Holger
Email: holger.kirschner@rphs1.physik.uni-regensburg.de
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X-Google-Language: ENGLISH,ASCII-7-bit X-Google-Thread: f4956,5dd1b8afa5e7dc80,start X-Google-Attributes: gidf4956,public From: kih03851@rphs4 (Holger Kirschner t2601) Subject: Q: Number of Extremal Points Date: 1996/07/16 Message-ID: <4sfr53$d9i@rrzs3.uni-regensburg.de> X-Deja-AN: 168498154 organization: University of Regensburg, Germany newsgroups: fj.sci.math