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![[Post New]](/templates/default/images/icon_minipost_new.gif) 10 May 2008 16:45:12 IST
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which of the following is non periodic
1) f(x) = x - [x]
2) F(x) = 1, if x is rational
0 , if x is irrational
3) F(x) = cosx
4) none of these
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10 May 2008 16:50:11 IST
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i think they are all periodic.. abt the 2nd one.. i dont think it is possible to find fundamental period.
the fact is that bw any 2 rational nos you will have an irrational numb., and vice versa.
so altho it seems periodic.. it is not possible to find FUNDAMENTAL period, but any other perid is simple to find.. eg all integers are periods.
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10 May 2008 16:50:18 IST
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is the answer D???
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10 May 2008 16:51:19 IST
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1) period = 1
3) period = 2pi
2) no defined period as there are infinite rational numbers between two irrational numbers and vice versa.
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* Gaurav Ragtah ( aka Artemis Fowl )
* Agent 'G' [sniper] - SD-6 (Alliance of Twelve)
  
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10 May 2008 16:52:15 IST
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YES ANSWER IS d
but i still have confusion in second option
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10 May 2008 16:53:06 IST
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ya this second part was discussed earlier by some expert
even though it has no defined period
it has infinite oscillations in the graph.
so answer shud b (d)
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* Gaurav Ragtah ( aka Artemis Fowl )
* Agent 'G' [sniper] - SD-6 (Alliance of Twelve)
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10 May 2008 16:53:26 IST
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search it on this site :) there was a nice discussion and explanation
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* Gaurav Ragtah ( aka Artemis Fowl )
* Agent 'G' [sniper] - SD-6 (Alliance of Twelve)
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10 May 2008 16:57:54 IST
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could u provide the link
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10 May 2008 17:02:04 IST
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DIRICHLET FUNCTION
http://www.goiit.com/posts/list/differenciation-dirichlet-function-48099.htm
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* Gaurav Ragtah ( aka Artemis Fowl )
* Agent 'G' [sniper] - SD-6 (Alliance of Twelve)
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10 May 2008 17:03:32 IST
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tks spidey.
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10 May 2008 17:03:38 IST
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It is periodic but has no period.
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* Gaurav Ragtah ( aka Artemis Fowl )
* Agent 'G' [sniper] - SD-6 (Alliance of Twelve)
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