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Falling and rising factorials
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Related lectures (25)
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Model Building: Analysis of Means
Explores model building using analysis of means for predicting factors' effects and interactions.
Limit Properties: Exponential and Logarithmic Functions
Covers the properties of limits related to exponential and logarithmic functions.
Binary Search: Logarithm Function
Explains binary search, the logarithm function, and recursive algorithms for factorial and Fibonacci sequences.
Recursively Defined Functions
Introduces recursively defined functions, showcasing examples like the Fibonacci numbers.
Stirling's formula: Euler's integral and Gaussian integral
Explores Stirling's formula, Euler's integral, and the Gaussian integral for estimating n 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.
Mathematical Analysis: Factorial Generalization and Absorption
Covers the generalization of factorials, mathematical behavior, and absorption phenomena.
Bezier Curves: Basics and Properties
Covers the basics of Bezier curves and introduces Bernstein polynomials.
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.