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August 10th, 2010, 08:59 AM   #1
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Equilibrium

I have got a continuous and n-times differentiable function f(s) defined on the interval (0,1/2) in which f(1/2)=0. f(0) and f’(1/2), which depend on the parameters’ sign, might be either sign, whilst f’’(1/2)=0.
Questions:
-Is there any way to know if the function displays other zeros in the specified interval?
-If yes, is there any way to know how many those zeros are?
Thanks to everybody.
Best Regards,
Francesco
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August 24th, 2010, 05:09 PM   #2
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What does "depend on the parameters’ sign" mean, and what does "might be either sign" mean?
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