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Re: Solutions for functions containing jump discontinuities

  • To: mathgroup at smc.vnet.net
  • Subject: [mg38988] Re: Solutions for functions containing jump discontinuities
  • From: Bill Rowe <listuser at earthlink.net>
  • Date: Thu, 23 Jan 2003 08:06:02 -0500 (EST)
  • Sender: owner-wri-mathgroup at wolfram.com

On 1/22/03 at 6:14 AM, newspostings at burkert.de (Burkert, Philipp)
wrote:

>we are searching all solutions where the function f results null.

>f[x_] := -7500 * Ceiling[(0.5 * x) / 880] + (5 * x) 

By inspection f[0]=0

Eliminating Ceiling to get f=-7500 * (0.5 * x) / 880 + (5 * x)  gives a result that is linear in x. Since it is linear in x, there can only be one root. So, clearly the only root to the original equation is  x = 0.


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