Limit Study: Sinus and Logarithm

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Polynomial Equations: Solutions and Elimination

Covers the solutions of polynomial equations and the concept of logarithms.

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.

Differential Calculation: Trigonometric Derivatives

Explores trigonometric derivatives, composition of functions, and inflection points in differential calculation.

Limit Properties: Exponential and Logarithmic Functions

Covers the properties of limits related to exponential and logarithmic functions.

Powers, Roots, etc.: Calculation Rules

Covers the rules of calculation for powers, roots, and more, focusing on positive numbers and integers.

Exponential Function: Properties and Definitions

Explores the properties and definitions of the exponential function and its inverse, the natural logarithm.

Binary Search: Logarithm Function

Explains binary search, the logarithm function, and recursive algorithms for factorial and Fibonacci sequences.

Power Series Functions: Logarithm and Exponential

Explores power series functions, particularly the logarithm and exponential functions, discussing convergence, extension, and roots of entire functions.

Composition of Functions: Application and Reciprocal Functions

Covers the composition of functions and reciprocal functions, with examples and formulas on logarithms and bijective functions.