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Related lectures (29)
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Probability Theory: Properties and Combinatorial Principles
Explores probability properties, inclusion-exclusion principle, combinatorial rules, and birthday coincidence probability calculation.
Complexity of Algorithms
Covers the Big-O notation to analyze algorithm efficiency and provides examples of polynomial and factorial function estimates.
Gamma Function and Stirling's Approximation: Mathematical Methods
Discusses the gamma function, its properties, and Stirling's approximation for large factorials, emphasizing their significance in mathematical methods for physics.
Limit Properties: Exponential and Logarithmic Functions
Covers the properties of limits related to exponential and logarithmic functions.
Recursively Defined Functions
Introduces recursively defined functions, showcasing examples like the Fibonacci numbers.
Higher-Order Functions Using Naive Substitutions
Explores higher-order functions, environments, evaluation using substitution, and examples like twice factorial.
Stirling's Formula: Applications and Embeddings
Explores Stirling's formula applications, polarization in vectors, and graph embeddings in Euclidean space.
Recursively Defined Functions
Introduces recursively defined functions and demonstrates how to compute values and prove properties using mathematical induction.
Bezier Curves: Basics and Properties
Covers the basics of Bezier curves and introduces Bernstein polynomials.
Recursive Algorithms: Induction and Recursion
Introduces recursive algorithms for factorial, exponentiation, and search.