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Related lectures (30)

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Complexity & Induction: Algorithms & Proofs

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

Operations in Z

Covers addition properties and operations in the set of integers Z.

Powers, Roots, etc.: Calculation Rules

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

Subtraction: Absolute Value and Opposite

Covers absolute value, subtraction in integers, and comparisons between integers.

Properties of Subtraction

Covers the properties of subtraction and the distributivity of multiplication.

Mathematical Induction: Basics and Applications

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

Linear Algebra: Integers

Explores linear algebra over integers, emphasizing solutions to A.x=b equations and Hermite normal form.

Complexity of Algorithms: Proofs of Time Complexity

Covers the analysis of worst time complexity for algorithms and time complexity with real numbers and integers.

Discrete Log Problem: Pollard's Rho Method

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

Closure Conversion: Representation and Transformation

Explores the representation and transformation of values, focusing on closure conversion and the challenges of representing functions in functional languages.