Natural logarithm

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Related lectures (29)

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Dynamics on homogeneous spaces and interactions with number theory

Explores dynamics on homogeneous spaces, Khintchine theorem, Sullivan's logarithm law, and interactions with number theory.

Limit Study: Sinus and Logarithm

Focuses on studying a limit involving sinus and logarithm functions as x approaches positive infinity.

Limit of a Sequence

Simplifies limit calculations by applying properties of logarithms and exponentials.

Exponential Functions: Properties and Logarithms

Explores exponential functions, their properties, and the relationship with logarithmic functions.

Exponential Functions and Logarithms

Explores exponential and logarithmic functions, their properties, relations, and graphs, including different bases and commonly used logarithms.

Complexity of Algorithms: Advanced Big-O Facts

Covers big-O estimates for factorial function and combinations of functions.

Taylor Polynomials: Examples and Convergence

Covers examples of Taylor polynomials and discusses their convergence when approximating functions.

Domain Verification in Equations

Emphasizes the importance of verifying the possible domain of a function before solving an equation.

Natural Logarithm: Definition and Properties

Delves into the definition, geometric interpretation, and properties of the natural logarithm, including its continuity and behavior as x approaches infinity or zero.

Properties of Entropy

Explores the properties of entropy, including positivity and nullity conditions.