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Properties of Natural Logarithm
Explores the properties of the natural logarithm function and its graphical representation.
Power Series Functions: Logarithm and Exponential
Explores power series functions, particularly the logarithm and exponential functions, discussing convergence, extension, and roots of entire functions.
Binary Search: Logarithm Function
Explains binary search, the logarithm function, and recursive algorithms for factorial and Fibonacci sequences.
Complexity of Algorithms: Advanced Big-O Facts
Explores advanced big-O facts for powers, logarithms, factorials, and function combinations.
Limits and Exponential Functions
Explores limits, exponential functions, and logarithms properties.
Differential Calculation: Trigonometric Derivatives
Explores trigonometric derivatives, composition of functions, and inflection points in differential calculation.
Thermodynamic formalism for coarse expanding dynamical systems
Explores thermodynamic formalism for weakly coarse expanding dynamical systems, covering equilibrium states, visual metrics, and symbolic coding.
Stirling's formula: Euler's integral and Gaussian integral
Explores Stirling's formula, Euler's integral, and the Gaussian integral for estimating n factorial.
Random Matrix Theory: Replica Method
Covers random matrix theory and the replica method to compute quantities related to non-hermitic series using the Stieltjes transform.
Limit Properties: Exponential and Logarithmic Functions
Covers the properties of limits related to exponential and logarithmic functions.