Using only two 2s and any of the standard mathematical symbols, write an expression whose value is equal to 5.
An approach could be: sqrt((2 * 2)!) = 4.90
Standard mathematical symbols (for this problem) are: addition, subtraction, multiplication, division, exponentiation, square root, factorization, parenthesis, positive, negative, ln, log. Superfactorials and such are not excluded, but not part of the desired solution. Any symbol having a value of its own, such as e, pi, and infinity, is not authorized.
The ceiling function is the smallest integer greater than or equal to its argument. So
ceil(sqrt((2*2)!)) would work.
Placed into terms of the the floor, or integer, function of greatest integer smaller than or equal to its argument, that same variation is given as
where the square brackets indicate the floor function.
Posted by Charlie
on 2008-09-16 10:48:11