Liouville number

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Related lectures (30)

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Real Numbers: sqrt(2)

Explores real numbers, focusing on the square root of 2 and the implications of its irrationality.

Power Functions: Examples

Covers examples of solving equations with power functions and irrational exponents, emphasizing the importance of considering the domain of functions involved.

Real Numbers: Structure and Properties

Covers the structure and properties of real numbers, including the introduction to the axiomatic system and the implications of Archimedean property.

Infimum and Supremum: Understanding Bounded Sets

Explains infimum, supremum, Archimedes' properties, rational numbers density, and exercises on irrational numbers and minimum values.

Real Numbers: Absolute Value and Density

Covers absolute value, density of rationals, and real line topology.

Newton's Binomial Theorem

Explores Newton's Binomial Theorem, real positive non-integer exponents, and proof methods using contrapositive and absurd reasoning.

Real Numbers: Definitions and Properties

Explores real numbers, bounds, supremum, infimum, and Archimedean property with practical examples.

Decimal Development

Delves into infinite decimal numbers, exploring convergence and divergence, and showcasing examples of rational and irrational numbers.

Diophantine Approximation on Manifolds: Lower Bounds

Covers Diophantine approximation on manifolds with a focus on lower bounds.

Properties of Real Numbers: Bounds, Density, Absolute Value

Covers the properties of real numbers, including bounds, density, and absolute value.