How Lagrange Multipliers 'Absorb' Dependencies in Constrained Optimization
A deep dive into why we can treat dependent variables as independent when using Lagrange multipliers, and how the multiplier absorbs the constraint's effects.
Nov 17, 2025
Deriving Kendall's Tau from The Sample-Based Perspective (Discrete)
A step-by-step mathematical derivation of Kendall's Tau correlation coefficient, showing how concordant and discordant pairs lead to the elegant sgn function formula.
Mar 22, 2025
Separation of Variables
The essential method to solve Partial Differential Equations
Oct 24, 2024
Method of characteristics
The powerful method to solve Partial Differential Equations
Oct 24, 2024
Understanding Degrees of Freedom in Linear Regression
Here continues to dive into the mathematics crucial for effective GSEA analysis and machine learning applications in bioinformatics.
Jan 15, 2024
Mathematical Proof: RSS/σ² ~ χ²ₙ₋ₚ
Here continues to dive into the mathematics crucial for effective GSEA analysis
Jan 15, 2024