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Polymerase Chain Reaction: Basics and Process
Explains the basics and process of Polymerase Chain Reaction (PCR) and the collaboration behind the content.
Dedekind Cuts: Rational Numbers
Explores Dedekind cuts in rational numbers, essential for constructing real numbers.
Sub/Super Harmonic Functions
Explores sub/super harmonic functions and their applications in a theoretical context.
L-values and Extensions
Explores de Rham theory, L-values, and extensions, including special value formulas and examples related to Hecke characters and modular forms.
Topology: Homomorphisms and Galois Theory
Explores homomorphisms in topology and delves into Galois theory.
Galois Theory: The Galois Correspondence
Explores the Galois correspondence and solvability by radicals in polynomial equations.
Mathematical Analysis: Functions and Composition
Covers the analysis of functions, composition, and mathematical induction.
Torsion and Divisibility in Group Theory
Explores the relationship between p-torsion and p-divisibility in group theory, highlighting implications of p-divisibility in exact sequences of abelian groups.
Algebras and Field Extensions
Introduces algebras over a field, k-linear endomorphisms, and commutative algebras.