Limit Study: Sinus and Logarithm

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Related lectures (31)

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.

Abel Summation and Prime Number Theory

Introduces the Abel summation formula and its application in establishing various equivalent formulations of the Prime Number Theory.

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