Real Numbers: Definitions and Equivalence Classes

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Explores the fundamental concepts of real numbers, including sets, operations, and properties like supremum and infimum.

Explores real numbers, including supremum, infimum, maximum, and minimum properties.

Covers the concepts of infimum and supremum of subsets in real numbers.

Covers the fundamental concepts related to real numbers, including sets, notations, and operations.

Covers the basics of real analysis, including functions, limits, and max/min functions.

Covers minimum, maximum, infimum, and supremum concepts in real numbers with examples and proofs.

Introduces real numbers, their properties, and their significance in analysis.

Explains the properties of subsets of real numbers, including Supremum, Infimum, intervals, open sets, and closed sets.

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

Illustrates the calculation of infimum and supremum for a set of elements.