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Related lectures (12)
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Integers: Elementary Concepts
Covers fundamental concepts related to integers, including properties of well-ordered sets and the principle of induction.
Endomorphisms and automorphisms of totally disconnected locally compact groups V
Explores endomorphisms and automorphisms of totally disconnected locally compact groups, emphasizing surjective homomorphisms and free abelian groups.
Mathematical Recursion: Induction and Recursion
Covers the principle of mathematical induction for proving propositions true for all positive integers.
Bargmann States: Overview
Explains Bargmann states, their evolution, basis, and significance in quantum physics.
Equivalence Relations and Partial Orderings
Introduces equivalence relations, partitions, partial orderings, and total ordering concepts with examples and definitions.
Algebra: Integer Numbers and Principles
Introduces integer numbers, well-ordering, induction principles, GCD, LCM, and Bezout's theorem.
Relations and Sequences: Well-ordered Sets and Geometric Series
Explores equivalence relations, well-ordered sets, geometric series, and countable sets.
Type Classes: Basics and Implementation
Covers the basics of type classes in Scala, implementation examples, and advantages over class extension.
Partial Ordering: Relations, Sequences, Summation
Introduces partial orderings, lattices, and lexicographic orderings on Cartesian products.
Logical Structure: Choice and Bar Induction Principles
Covers the logical structure of principles equivalent to choice and bar induction, focusing on generalized dependent choice and its implications in mathematics.
Quantum Field Theory II: Cross Section & Lifetime
Covers cross section, lifetime, quantum fluid, asymptotic states, discrete symmetries, and normal ordering in quantum field theory.
Triangle Resolution: Trigonometry Basics
Covers the resolution of triangles using trigonometric functions to find missing sides and angles.
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