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Lecture
Infimum
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Related lectures (32)
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Quiz on Chapters 1-3: Solutions to TF questions
Covers solutions to true/false questions on subsets, upper bounds, real numbers, and set properties.
Properties of Real Numbers
Explains the properties of subsets of real numbers, including Supremum, Infimum, intervals, open sets, and closed sets.
Real Numbers: Properties and Bounds
Explores real numbers' properties, bounds, limits, and density in the number line.
Real Numbers: Axioms and Bounds
Covers the organization of real numbers, axioms, and bounds, including infimum and supremum.
Real Numbers: Definitions and Equivalence Classes
Covers the existence of real numbers and equivalence classes of Cauchy sequences.
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.
Exemple: Infimum and Supremum
Illustrates the calculation of infimum and supremum for a set of elements.
Real Number Sequences: Introduction
Introduces real number sequences, limits, and their properties.
Real Numbers: Definitions and Properties
Explores real numbers, bounds, supremum, infimum, and Archimedean property with practical examples.