## Insight Things

### A scientific blog revealing the hidden links which shape our world

#### Tag: analysis

In office, we have some really slow software application. In order to show that the waiting times over the whole departement incredibly sum up and lead to high costs, I needed an objective measurement method. First, I got a manual stopwatch which allowed to track how long I had waited. However, I was not able to answer the question: “How long do I work with this program in office routine?” There are not so many tools out there and most of them were a little bit over the top. That is why I developed a small utility for monitoring software usage over time: Software Usage Recorder! more →

There are many applications for the arc length of functions. I came across it when I needed to calculate the length of a density function in an interval $[a,b]$. The formula reads

$\displaystyle s=\int\limits_{a}^{b}\sqrt{1+\big[f'(x)\big]^{2}}\,dx$

Do you grasp how this formula arises? No? Let me show you! more →