Lecture

Recursively Defined Sets and Structures

Related lectures (25)

Explores recursively defined sets, natural numbers, strings, functions, string concatenation, and well-formed formulae.

Explores Fibonacci numbers, rabbit population growth, and recursively defined functions.

Covers the basics of sets and operations in mathematics, from set properties to advanced operations.

Introduces mathematical induction principles and applications, including inequalities, divisibility, subsets, and strong induction.

Introduces Cartesian product and induction for proofs using integers and sets.

Explores elementary algebra concepts related to numeric sets and prime numbers, including unique factorization and properties.

Covers basic properties of natural numbers, including order relations and inverses.

Covers function composition and integers, including properties and examples.

Covers the construction of integers through equivalence relations and their properties in mathematics.

Covers integers, rings, subrings, invertibility, divisors of zero, and equivalence relations in formal fractions.

Covers the basics of working with strings in C, including reading, copying, comparing, and converting strings, along with examples and quizzes.

Covers the rules of calculation for powers, roots, and more, focusing on positive numbers and integers.

Covers fundamental concepts related to integers, including properties of well-ordered sets and the principle of induction.

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

Introduces Pollard's rho method for the discrete log problem and finding collisions efficiently in a cyclic group.

Introduces sets, maps, divisors, prime numbers, and arithmetic principles related to integers.

Covers computational methods focusing on paths and strings, including examples of concatenation, regex elements, and string operations.

Delves into the concept of proof in mathematics, emphasizing the importance of evidence and logical reasoning.

Covers the binary representation of integers, including positive and negative numbers.

Covers functions, integers, GCD, and reasoning by recurrence, including the Euclidean algorithm and induction principle.