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Hensel's Lemma and Field TheoryCovers the proof of Hensel's Lemma and a review of field theory, including Newton's approximation and p-adic complex numbers.
Invariant DefinitionsExplores invariant definitions in sets, groups, and automorphisms, including p-divisible groups and free abelian groups.
Algebraic Closure of QpCovers the algebraic closure of Qp and the definition of p-adic complex numbers, exploring roots' continuous dependence on coefficients.
Standard Model OverviewProvides an in-depth analysis of the Standard Model, covering topics such as the Higgs mechanism, gauge boson interactions, and the role of chirality in particle physics.
Torsion and Divisibility in Group TheoryExplores the relationship between p-torsion and p-divisibility in group theory, highlighting implications of p-divisibility in exact sequences of abelian groups.
Integration on H_pxH and ArithmeCovers integration on H_pxH and arithmetic topics, focusing on the Hensel Lemma and the process of finding R and S such that R.S-P=0.
Galois Theory of QpExplores the Galois theory of Qp, covering algebraic extensions, inertia groups, and cyclic properties.
Relations in Computer ScienceExplores the properties of relations in computer science, including equivalence relations and the partition of a set.
Compact Manifolds ClassificationCovers the classification of compact p-adic manifolds using the C.o.V-formula and explores smooth algebraic varieties and Hensel's lemma.
Primes and CoprimeExplores prime numbers, coprime integers, and their properties in number theory.