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Student Support Forum: 'Simplification of Floor and Ceiling functions' topicStudent Support Forum > General > "Simplification of Floor and Ceiling functions"

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04/28/09 01:19am

I havent done alot of work with these functions... We have been asked to deduce that a particular expression is true. Now, from the data given I have deduced a correct expression, but have been unable to show it is equivalent to the required expression.

My Expression for M: (where n is given)
s = floor(sqrt(n))
A = (n - s(s-1) - s) / s
B = ceiling(A)

M = 2s + B

The required expression for M:
M = ceiling(2*sqrt(n))

As I mentioned, I have been unable to reduce my expression to the required one. Any help would be greatly appriciated!

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