Show that:

.................................................. .................................................. .

where is the floor function, the greatest

integer less than .

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- Dec 21st 2008, 01:13 PMSeaFloor function

Show that:

.................................................. .................................................. .

where is the floor function, the greatest

integer less than . - Dec 21st 2008, 02:25 PMo_O
Let: and for some .

Fact: where

Consider:

Take the floor function of both sides and with the fact, the conclusion follows. - Dec 21st 2008, 02:32 PMPlato
- Dec 21st 2008, 04:25 PMSea
Thanks a million...;):)....

I understand..:)..

And... Can you help me?

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Show that:

where

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Show that:

where - Dec 21st 2008, 05:48 PMMathstud28
I think this is supposed to be . A quick counterexample to what you have written is .

So let . So , and since we can conclude by the defintion of the floor function that . Now lets look at the left side. Defining the same as above we can see that and once again because we can conclude that . Finally

Quote:

Show that

Now for the second part notice that . Now conclude the answer by noticing that since - Dec 21st 2008, 10:13 PMSea
I write false...:(.... But you write true...:)...

I'm sorry for this and I thank you so much... for answering my

question after all...

Thanks a million...;):)...