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Related lectures (30)
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Induction and Recursion: Mathematical and Strong Induction - An Example
Covers the concepts of mathematical and strong induction through an example.
Mathematical Recursion: Induction and Recursion
Covers the principle of mathematical induction for proving propositions true for all positive integers.
Group Theory: Basics
Covers the basics of group theory, including sets, applications, and examples like permutations and rotations.
Natural Numbers
Covers the concept of natural numbers, including properties like commutativity and associativity.
Binomial Formula, Euler Number, Infinity
Covers the binomial formula, Euler number, and infinity, including induction and convergence of sequences.
Linear Recurrence Relations
Explores linear recurrence relations, including examples like the Fibonacci numbers and the proof of related theorems.
Existence of Sylow Subgroups
Explores the proof of the existence of Sylow subgroups in group theory.
Least Mean Squares with Features
Covers the concept of Least Mean Squares (LMs) with features and iterative updates.
Strong Induction: The Power of Mathematical Proof
Explores strong induction as a powerful proof method with advantages over mathematical induction, demonstrated through a theorem about expressing integers as sums of powers of two.
Strong Induction: Proof Method and Application
Explores strong induction as a proof method and demonstrates its application in proving a theorem about positive integers.