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Related lectures (31)
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Binomial Coefficients: Estimation and Stirling's Formula
Explores binomial coefficient estimation, Stirling's formula, and properties of the bell curve.
Exponential Function: Properties and Definitions
Explores the properties and definitions of the exponential function and its relation to the natural logarithm.
Properties of Entropy
Explores the properties of entropy, including positivity and nullity conditions.
Mathematical Functions and Limits
Covers mathematical functions, limits, and their applications.
Domain Verification in Equations
Emphasizes the importance of verifying the possible domain of a function before solving an equation.
Complexity of Algorithms: Advanced Big-O Facts
Explores advanced big-O facts for powers, logarithms, factorials, and function combinations.
Exponential Functions: Properties and Logarithms
Explores exponential functions, their properties, and the relationship with logarithmic functions.
Exponential Function: Properties and Definitions
Explores the properties and definitions of the exponential function and its inverse, the natural logarithm.
Power Functions: Definition
Explores power functions with functions as base and exponent, emphasizing exponential function continuity and derivative analysis.
Stirling's formula: Euler's integral and Gaussian integral
Explores Stirling's formula, Euler's integral, and the Gaussian integral for estimating n factorial.