Learn the NumPy trick for generating synthetic data that actually behaves like real data.

The native just-in-time compiler in Python 3.15 can speed up code by as much as 20% or more, although it’s still experimental. JITing, or “just-in-time” compilation, can make relatively slow ...

Abstract: We derive the characteristic function (CF) for two product distributions—first for the product of two Gaussian random variables (RVs), where one has zero mean and unity variance, and the ...

According to Andrej Karpathy on Twitter, the Python random.seed() function produces identical random number generator (RNG) streams when seeded with positive and negative integers of the same ...

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 ...

If you’re new to Python, one of the first things you’ll encounter is variables and data types. Understanding how Python handles data is essential for writing clean, efficient, and bug-free programs.

Python’s new template strings, or t-strings, give you a much more powerful way to format data than the old-fashioned f-strings. The familiar formatted string, or f-string, feature in Python provides a ...

Forecasting for any small business involves guesswork. You know your business and its past performance, but you may not be comfortable predicting the future. Using Excel is a great way to perform what ...

Will Kenton is an expert on the economy and investing laws and regulations. He previously held senior editorial roles at Investopedia and Kapitall Wire and holds a MA in Economics from The New School ...