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Lecture
Infimum and Supremum of Subsets
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Related lectures (31)
Real Numbers: Sets and Operations
Explores the fundamental concepts of real numbers, including sets, operations, and properties like supremum and infimum.
Real Numbers: Sets and Operations
Covers the fundamental concepts related to real numbers, including sets, notations, and operations.
Real Numbers: Definitions and Properties
Explores real numbers, bounds, supremum, infimum, and Archimedean property with practical examples.
Real Number Sequences: Introduction
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Introduces real number sequences, limits, and their properties.
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Covers the basics of real analysis, including functions, limits, and max/min functions.
Supremum
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Covers the concept of supremum in real numbers and its properties as the least upper bound of a set.
Exemple: Infimum and Supremum
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Illustrates the calculation of infimum and supremum for a set of elements.
Infimum and Supremum: Understanding Bounded Sets
Explains infimum, supremum, Archimedes' properties, rational numbers density, and exercises on irrational numbers and minimum values.
Real Numbers: sqrt(2)
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Explores real numbers, focusing on the square root of 2 and the implications of its irrationality.
Infimum
MOOC: Analysis I (part 1): Prelude, basic concepts, real numbers
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Explains the concept of infimum in real numbers and its properties.
Dedekind Cuts: Rational Numbers
Explores Dedekind cuts in rational numbers, essential for constructing real numbers.
Important Property of Archimedean Bodies
MOOC: Analysis I (part 1): Prelude, basic concepts, real numbers
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Covers the Archimedean property and the proposition for all x in a set, there exists a positive real number n such that n*x is greater than y.
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Covers the basics of real analysis, including limits, sequences, and continuous functions.
Properties of Real Numbers
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Explains the properties of subsets of real numbers, including Supremum, Infimum, intervals, open sets, and closed sets.
Properties of Real Numbers: Bounds, Density, Absolute Value
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Covers the properties of real numbers, including bounds, density, and absolute value.
Real Numbers: Properties and Formulas
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Explores real numbers, including supremum, infimum, maximum, and minimum properties.
Real Numbers: Order and Completeness
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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: Axioms and Bounds
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Covers the organization of real numbers, axioms, and bounds, including infimum and supremum.
Math-101(en) / Min/Max, Inf/Sup
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Covers minimum, maximum, infimum, and supremum concepts in real numbers with examples and proofs.
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