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Math-101(en) / Min/Max, Inf/Sup
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Related lectures (53)
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.
Infimum and Supremum of Subsets
Covers the concepts of infimum and supremum of subsets in real numbers.
Supremum
MOOC: Analysis I (part 1): Prelude, basic concepts, real numbers
MOOC: Analysis I
Covers the concept of supremum in real numbers and its properties as the least upper bound of a set.
Real Analysis: Functions and Limits
Covers the basics of real analysis, including functions, limits, and max/min functions.
Real Numbers: Definitions and Properties
Explores real numbers, bounds, supremum, infimum, and Archimedean property with practical examples.
Exemple: Infimum and Supremum
MOOC: Analysis I
MOOC: Analysis I (part 3) : Real number sequences I and II
Illustrates the calculation of infimum and supremum for a set of elements.
Real Number Sequences: Introduction
MOOC: Analysis I
MOOC: Analysis I (part 3) : Real number sequences I and II
Introduces real number sequences, limits, and their properties.
Real Numbers: sqrt(2)
MOOC: Analysis I (part 1): Prelude, basic concepts, real numbers
MOOC: Analysis I
Explores real numbers, focusing on the square root of 2 and the implications of its irrationality.
Convergence of Numerical Sequences
Explores the convergence of numerical sequences through monotonicity, boundedness, linear recurrence, and subsequences.
Infimum and Supremum: Understanding Bounded Sets
Explains infimum, supremum, Archimedes' properties, rational numbers density, and exercises on irrational numbers and minimum values.
Convergence and Limits: Uniqueness and Order
Explores convergence, uniqueness, order, boundedness, and the relationship between boundedness and convergence in sequences.
Real Functions: Definitions and Theorems
Explores real functions, covering continuity, supremum, infimum, maximum, minimum, compact and connected sets, and the intermediate value theorem.
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: Axioms and Bounds
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Covers the organization of real numbers, axioms, and bounds, including infimum and supremum.
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.
Quiz on Chapters 1-3: Solutions to TF questions
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Covers solutions to true/false questions on subsets, upper bounds, real numbers, and set 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: Properties and Formulas
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Explores real numbers, including supremum, infimum, maximum, and minimum properties.
Real Numbers: Definitions and Bounds
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Explains the definitions and properties of maximum, minimum, supremum, and infimum in real numbers.
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