# Thread: B = A + (n/(b+1))*(1-A) Please check if this function is mathematically sound

1. ## B = A + (n/(b+1))*(1-A) Please check if this function is mathematically sound

Hi, everyone, this is my first post. I just need help regarding a function. Here it goes:
I am using a function: B = A + (n/(b+1))*(1-A) ---- (I)
where n = 1 - e^(-x) i.e. a monotonically increasing function with the value of x (where x will have a minimum value of 0 or any positive value) in the range 0 to 1
and b has a minimum value of greater than or equal to zero.
Question: My query is : 1. Is (I) a mathematically sound equation.
2. Moreover, when n/(1+b) = 1 then b = n - 1
Now if n = 0 then b = -1 (But how this is possible, as b has a minimum value of 0).

3. Please check this equation for all boundary values for n and b, and me know if this function is mathematically fine or should I change this.

2. ## Re: B = A + (n/(b+1))*(1-A) Please check if this function is mathematically sound

Originally Posted by priyahya100
Hi, everyone, this is my first post. I just need help regarding a function. Here it goes:
I am using a function: B = A + (n/(b+1))*(1-A) ---- (I)
where n = 1 - e^(-x) i.e. a monotonically increasing function with the value of x (where x will have a minimum value of 0 or any positive value) in the range 0 to 1
and b has a minimum value of greater than or equal to zero.
Question: My query is : 1. Is (I) a mathematically sound equation.
What do you mean by "mathematically sound"? B certainly is a function of the three variables A, b, and x or a function of any one with the other two as variables.

2. Moreover, when n/(1+b) = 1 then b = n - 1
Now if n = 0 then b = -1 (But how this is possible, as b has a minimum value of 0).
If "n= 0", then n/(1+b)= 0, not 1, so "n/(1+ b)= 1 is wrong. Going back to your original equation, if n= 0, B= A and b can be any number from 0 to 1.

3. Please check this equation for all boundary values for n and b, and me know if this function is mathematically fine or should I change this.