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integerpart and fractionalpart

  • To: mathgroup at smc.vnet.net
  • Subject: [mg117652] integerpart and fractionalpart
  • From: olfa <olfa.mraihi at yahoo.fr>
  • Date: Tue, 29 Mar 2011 06:54:01 -0500 (EST)

Hi Mathematica community,

1)why mathematica is not able to detect that
 i + IntegerPart[Log[2,x]]==iP + IntegerPart[Log[2,xP]] &&
FractionalPart[Log[2,x]]== FractionalPart[Log[2,xP]]
implies i + Log[2,x] == iP + Log[2,xP]?

2)why Reduce is unable to solve this system for the integer variable
xP:
iP==i+3&&i + IntegerPart[Log[2,x]]== iP + IntegerPart[Log[2,xP]] &&
 FractionalPart[Log[2,x]]== FractionalPart[Log[2,xP]]?

thank you very much for your help.


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