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Exponentiation by squaring
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Tangent to Graph of a Function
Explores finding the equation of the tangent line to a function's graph at a point.
Shor Algorithm: Quantum Factorization
Covers the Shor algorithm for quantum factorization using tensor methods and graded solutions.
Arithmetic with Base 2 Expansions
Covers binary addition, multiplication, and modular exponentiation of integers.
Recursive Algorithms: Induction and Recursion
Introduces recursive algorithms for factorial, exponentiation, and search.
Number Theory: Fundamental Concepts
Covers binary addition, prime numbers, and the sieve of Eratosthenes in number theory.
Power Functions: Definition
Explores power functions with functions as base and exponent, emphasizing exponential function continuity and derivative analysis.
Induction and Recursion: Summary
Covers mathematical induction, recursively defined functions, and iterative algorithms for problem-solving.
Shor's algorithm: quantum circuit
Covers the implementation of Shor's algorithm on a quantum circuit, including the analysis of quantum Fourier transform.
Arithmetic with Base 2 Expansions
Covers binary addition, multiplication, and modular exponentiation in cryptography.