How to write a threshold function?

Question

I want to write a threshold function that gives the value "1" when a certain time point is passed...http://www.thefreedictionary.com/threshold+function

Answer 1

What you are looking for is a unit step function

U(t-a)=
=0 when t =1 when t>=a

Answer 2

I don't have the details with me now.

There is a function called dirac delta function (expressed using the greek lower delta), which is defined to be an impulse function where by area under it is 1 unit at x=0. A threshold function is defined as the integration of of the dirac delta function from -infinity to x.

Thus, your needed threshold function f(x) can be defined as int(delta(x-a), from -infinity till x), where a is the threshold.

Answer 3

then it is not a threshold function.

U can define threshold simply by

Treshold(t)= t % d (t module d), where d is threshold constant and t is variable.

Answer 4

f(x)=(|x-t|/(x-t)+1)/2
t = the time you want the function to jump to a value of 1