Learn how convexity adjustments in bonds affect interest rates and prices using key formulas. Understand their importance in accurately predicting bond price changes.

A function is a relation such that for each \(x\)-value there is only one corresponding \(y\)-value. In other words, a function cannot contain two different ordered pairs with the same first ...

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 ...

The original version of this story appeared in Quanta Magazine. Calculus is a powerful mathematical tool. But for hundreds of years after its invention in the 17th century, it stood on a shaky ...

In the late 19th century, Karl Weierstrass invented a fractal-like function that was decried as nothing less than a “deplorable evil.” In time, it would transform the foundations of mathematics.

Microsoft is currently adding AI functions to one application after another. The Edge browser has also received an AI update. However, not every user is happy about this. This is because the AI may ...

There’s a quote by the brilliant Jon Kabat-Zinn that goes like this: “The little things? The little moments? They aren’t little.” This resonates deeply with me. It’s the seemingly small, everyday ...

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 ...

Abstract: This paper presents the derivation of the most energy-efficient source functions by using calculus of variations. The fundamental theorem of calculus of variations for finding the functions ...

There’s a certain feeling you get after eating a heap of fries and a double cheeseburger, drinking a beer, and topping it off with a sleeve of Oreos. For those of you who haven’t indulged on this ...