Recent content by Oedipus

Your encrypting operation is the function ƒ(x)=(x+3) mod 200. For a function ƒ: X→Y to be invertible, for every y∈Y there must be one and only one x∈X so that ƒ(x)=y. In your case, the result 153 can be obtained from multiple data values: 150, 350, 550 and so on. There are multiple x∈X that...

The derivative of ##\text{Ei}(x)## can be calculated, but the overall optimization problem I am attempting cannot be solved simply by setting the derivative to zero.

Thank you blue_leaf77. I tried but it is still very difficult to solve for optimal K. My overall expression for the objective is in fact a function of this integral. Here I only provided the most problematic part. After integration by parts I have, ## \begin{aligned} \frac{1}{K}\int_0^\infty...

After series of algebraic simplifications, I ended up with the following integral: ##\int_0^\infty \exp(-Kx) \arctan(x) dx ## As far as I searched, there is no closed form solution for the integral. But, K is my design variable that I need to optimize later. To do this, I need to take K out of...