Abstract: In this paper, we consider a dynamical system whose trajectory is a result of minimizing a multiphase cost function. The multiphase cost function is assumed to be a weighted sum of specified ...

Physics and Python stuff. Most of the videos here are either adapted from class lectures or solving physics problems. I really like to use numerical calculations without all the fancy programming ...

Genes contain instructions for making proteins, and a central dogma of biology is that this information flows from DNA to RNA to proteins. But only two percent of the human genome actually encodes ...

Mosquitoes can be annoying at least and deadly at most. The pesky blood suckers not only induce itchy bites but they can also carry an array of disease-causing viruses from Zika to dengue and yellow ...

Whenever the sun returns to where it was located when you were born, it’s your solar return, aka your birthday. By a similar token, when the moon returns to the sign where it was located at the time ...

Quadratic functions are essential in the world of mathematics and have a wide range of applications in various fields, such as physics, engineering, and finance. An inverse function can be thought of ...

The Hechinger Report covers one topic: education. Sign up for our newsletters to have stories delivered to your inbox. Consider becoming a member to support our nonprofit journalism. Example of a ...

Centenarians, once considered rare, have become commonplace. Indeed, they are the fastest-growing demographic group of the world’s population, with numbers roughly doubling every ten years since the ...

Mathematics is a fascinating world, especially when it comes to finding the inverse of a function. An inverse function is a function that undoes the action of another function – meaning, if you input ...