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Related lectures (29)
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Properties of Subtraction
Covers the properties of subtraction and the distributivity of multiplication.
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Shor's factoring algorithm: Quantum Phase Estimation
Covers Shor's factoring algorithm and the link between order finding and factoring.
Algebra: Integer Numbers and Principles
Introduces integer numbers, well-ordering, induction principles, GCD, LCM, and Bezout's theorem.
Number Theory: Congruence
Explains congruence modulo m and its applications in arithmetic operations.
Complexity of Algorithms: Proofs of Time Complexity
Covers the analysis of worst time complexity for algorithms and time complexity with real numbers and integers.
Linear Algebra: Integers
Explores linear algebra over integers, emphasizing solutions to A.x=b equations and Hermite normal form.
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.
Mathematical Recursion: Induction and Recursion
Explains mathematical induction for proving propositions true for all positive integers.