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Supremum
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Related lectures (32)
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Real Numbers: Definitions and Equivalence Classes
Covers the existence of real numbers and equivalence classes of Cauchy sequences.
Real Numbers: Axioms and Bounds
Covers the organization of real numbers, axioms, and bounds, including infimum and supremum.
Real Numbers: Properties and Bounds
Explores real numbers' properties, bounds, limits, and density in the number line.
Exemple: Infimum and Supremum
Illustrates the calculation of infimum and supremum for a set of elements.
Real Numbers: Order and Completeness
Covers the properties of real numbers, focusing on the total order and completeness, including the Archimedean property and the concepts of supremum and infimum.
Real Numbers: Definitions and Bounds
Explains the definitions and properties of maximum, minimum, supremum, and infimum in real numbers.
Introduction to Real Numbers and Their Properties
Introduces real numbers, their properties, and their significance in analysis.
Real Numbers: Definitions and Properties
Explores real numbers, bounds, supremum, infimum, and Archimedean property with practical examples.
Real Number Sequences: Introduction
Introduces real number sequences, limits, and their properties.
Inequality in Real Numbers
Explores the equivalence of inequalities to determine the least upper bound of a set.
