Structural Induction

Related lectures (28)

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Covers propositions indexed by vectors, proof by induction, and Cartesian products of sets.

Explains mathematical induction for proving propositions true for all positive integers.

Explains the induction principle and proofs by induction with examples like 1 + 3 + 5 + ... + (2n-1) = n².

Explores the convergence of geometric series and their applications in real-world problems.

Covers worst-case complexity, algorithms, and proofs including mathematical induction and recursion.

Covers laws of list concatenation, proof by induction, referential transparency, and structural induction.

Covers Cauchy sequences, convergence, and induction in mathematical analysis.

Explores worst-case complexity, mathematical induction, and algorithms like binary search and insertion sort.

Covers the principle of recurrence demonstrations with examples illustrating the process step by step.

Covers the principle of mathematical induction for proving propositions true for all positive integers.