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Lecture
Dynamic Programming: Fibonacci Numbers
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Related lectures (27)
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Fibonacci numbers and the golden ratio
Explores the Fibonacci sequence, identities, golden ratio, and explicit formulas.
Recursive Algorithms: Proving Correctness and Fibonacci Iteration
Explores recursion, induction, and the Fibonacci iteration algorithm.
Sequences: Induction Method
Covers sequences, induction method, Fibonacci, Bernoulli's inequality, and binomial formula.
Computation & Algorithms II: Binary Search and Merge Sort
Explores binary search, merge sort, recursion in algorithms, Fibonacci numbers, and dynamic programming.
Number Sequences: Guessing, Modeling, and Solving Recurrence Relations
Covers the identification of number sequences, modeling population growth, and solving recurrence relations.
Number Sequences: Guessing, Fibonacci, Recurrence Relations
Covers the identification of number sequences and solving recurrence relations.
Recursion and Induction: Proving Algorithms Correctly
Explains recursion, induction, and proving algorithm correctness through mathematical induction.
Linear Recurrence Relations: Solving Techniques
Explores linear homogeneous recurrence relations, solving techniques, characteristic equations, and examples like Fibonacci numbers.
Eigenvalues and Fibonacci Sequence
Covers eigenvalues, eigenvectors, and the Fibonacci sequence, exploring their mathematical properties and practical applications.
Recursively Defined Functions
Introduces recursively defined functions, showcasing examples like the Fibonacci numbers.