>>83 ruby 1.8.6
def f83(n)
a = []
a << [2 ** n, '2^n']
a << [2 ** Math.log(n), '2^log(n)']
a << [4 ** n, '4^n']
a << [n, 'n']
a << [n ** 2, 'n^2']
a << [(1..n).inject(1){|r, i| r * i}, 'n!']
a << [n * Math.log(n), 'n*log(n)']
a << [Math.log((1..n).inject(1){|r, i| r * i}), 'log(n!)']
a << [Math.log(Math.log(n)), 'log(log(n))']
a << [Math.sqrt(Math.log(n)), 'sqrt(log(n))']
a.sort.reverse
end
puts f83(10).map {|a| a.join(' = ')}
↓
3628800 = n!
1048576 = 4^n
1024 = 2^n
100 = n^2
23.0258509299405 = n*log(n)
15.1044125730755 = log(n!)
10 = n
4.9334096679146 = 2^log(n)
1.51742712938515 = sqrt(log(n))
0.834032445247956 = log(log(n))