m******1 发帖数: 12 | 1 design f(x,t,t0) where 00 are constant, i.e., f is a function of
t (t>0)
so that
(1) f(x,t0,t0) = x
(2) when t->0, f(x,t,t0)->1
(3) when t->inifinity, f(x,t,t0)->0
(4) f(0,t,t0) = 0
(5) Let t2>t1>t0, f(x,t1,t0)-f(x,t2,t0) is larger when x takes a larger
value
I can only think of:
f(x,t,t0) = x/(x + (1-x)*t/t0), which satisfies (1)~(4), but cannot satisfy
(5), i.e., when x is close to 1, difference between f(x,t1,t0) and f(x,t2,t0
) becomes smaller instead of larger.
Anyone has a bett |
|