Up toの意味
f(x) = 2*x
g(x) = 2*x + c
f(x) and g(x) are identical up to the constant term "c".
http://en.wikipedia.org/wiki/Up_to
f(x) = 2*x
g(x) = 2*x + c
f(x) and g(x) are identical up to the constant term "c".
http://en.wikipedia.org/wiki/Up_to