Data Science Tutorials

Discover the math and meaning behind power laws. Learn how they model rare events, reveal scale-free patterns, and show up in everything from earthquakes to AI.

Understand how to model the probability of first success in repeated trials, explore its unique memoryless property, and discover practical applications across industries from quality control to customer acquisition.

Understand when and how matrices can be diagonalized, and why it matters for data science and computational linear algebra.

Explore the history, impact, and future of Moore’s Law, and discover how it continues to shape computing power in the face of physical and economic limits.

Learn when to use multivariate linear regression, understand its mathematical foundations, and implement it in Python with practical examples.

Understand what the coefficient of determination means in regression analysis. Learn how it’s calculated, how to interpret its value, and when to use adjusted R-squared and partial R-squared instead.

Learn how LDA optimizes class separation while reducing dimensions in your machine learning projects.

Learn how to use row operations to convert matrices to row echelon form to solve systems of equations.

Learn the mathematical foundations, computational properties, and real-world applications of the Hadamard product.

Learn about singular matrices, their properties, detection methods, and critical implications for machine learning and numerical computing.

Learn what Pydantic is, what it’s used for, and how it compares to alternatives like Marshmallow or Python’s dataclasses.

Learn when to use Poisson regression, how to interpret results through incidence rate ratios, and implement essential techniques in R.