数学

Introduction Mathematical optimization is the minimization (or maximization) of a function under given constraint condit...

Derive the distance between a point and a hyperplane, which is the general form of the distance between a point and a line.

IntroductionWhen studying machine learning theory, you often encounter operations that differentiate a scalar with respe...

IntroductionThe Binomial Theorem is a highly versatile theorem that appears in various contexts. In this article, we wil...

IntroductionWhen you blow air across the mouth of an empty bottle, you hear a "booo" sound. This phenomenon is called He...

IntroductionIn a previous article, we discussed the Taylor expansion of a single-variable function $f(x)$.So, how can we...

IntroductionLast time, I wrote an article about Taylor series expansion.To recall the Taylor series expansion:Taylor Ser...

IntroductionI believe the beauty of Taylor expansion lies in the fact that functions can be expressed as polynomials.Whe...