Finite Dimensional SpacesExplores finite dimensional spaces, covering extraction process, bases generation, and space completion.
Complex Roots and PolynomialsExplores complex roots, polynomials, and factorizations, including roots of unity and the fundamental theorem of algebra.
Interlacing PolynomialsExplores interlacing polynomials, real rooted theorems, and pseudo-probabilistic methods in polynomial analysis.
Morphisms and Local RingsExplores morphisms, regularity, varieties, local rings, and evaluation morphism in algebraic geometry.