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Average-case complexity
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Shor Algorithm: Quantum Factorization
Covers the Shor algorithm for quantum factorization and the general formula for arithmetic periods.
Search Algorithms: Dichotomy Search
Explores dichotomy search algorithms, analyzing complexity and implementation details for efficient searching in sorted lists.
Number Theory: Prime Numbers and Modular Arithmetic
Explores prime numbers, modular arithmetic, Wilson's theorem, and complexity analysis.
Computation & Algorithms II: Sorting and Recursive Algorithms
Explores sorting and recursive algorithms, including complexity analysis, maximal value, and binary search.
Low Complexity MIMO ML Receivers
Explores MIMO spatial multiplexing, ML detection, receivers with fading, tree representation, and sphere decoding.
Accelerated Algorithms for Monotone Inclusions
By Quoc Tran-Dinh explores accelerated algorithms for monotone inclusions, covering optimization models, challenges, and new algorithms.
Recursion and Karatsuba Multiplication
Explains recursion in algorithms and the Karatsuba multiplication method for large numbers.
The Quantum Fourier Transform
Covers the Quantum Fourier Transform and its application in quantum computing, explaining the process of input values computation and the concept of complex numbers.