Chatterjee’s Xi Coefficient
Detect nonlinear relationships that Pearson and Spearman miss.
Detect nonlinear relationships that Pearson and Spearman miss.
Interpolate equally-spaced data efficiently and discover its connection to Taylor series.
Compute logarithms and exponentials without a floating point unit.
Compute sine, cosine, and exponentials using only addition, subtraction, and bit shifts.
Fit rational functions to data with poles and discontinuities where polynomials fail.
Tackle tricky integrals with endpoint singularities using a clever variable transformation.
Approximate functions using polynomial interpolation without solving linear systems.
Derive and interpret the dual form of an optimization problem.
Plot ellipses using conic, quadratic, and parametric representations.
Implement a regression tree from scratch using only numpy.