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401.2A Max, min, infimum, supremum examples

1/30/17 Examples showing the differences between the maximum, supremum, and upper bound (similarly, minimum, infimum, and lower bound) for a set of real numbers.

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401.3 Toward a proof of "arbitrary closeness"
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401.3 Toward a proof of "arbitrary closeness"

Definition of Supremum and Infimum of a Set | Real Analysis
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Definition of Supremum and Infimum of a Set | Real Analysis

Russell's Paradox - a simple explanation of a profound problem
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Russell's Paradox - a simple explanation of a profound problem

Logic - The Set of Rationals less than √2 has no Rational Least Upper Bound
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Logic - The Set of Rationals less than √2 has no Rational Least Upper Bound

401.7 Limsup and liminf: more details
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401.7 Limsup and liminf: more details

Real Analysis | The Supremum and Completeness of ℝ
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Real Analysis | The Supremum and Completeness of ℝ

Supremum and Infimum (Sup and Inf) Definitions and Examples, Prove sup{cos(n) | n in N} Equals One
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Supremum and Infimum (Sup and Inf) Definitions and Examples, Prove sup{cos(n) | n in N} Equals One

We think this pattern continues forever, but can't prove it
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We think this pattern continues forever, but can't prove it

401.8 Interior, accumulation points, open and closed set
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401.8 Interior, accumulation points, open and closed set

But what is a Laplace Transform?
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But what is a Laplace Transform?

William Dunham, A tribute to Euler
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William Dunham, A tribute to Euler

2.4 Maximum, upper bound, supremum
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2.4 Maximum, upper bound, supremum

401.10 Introduction to limits and continuity
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401.10 Introduction to limits and continuity

Completeness of Real Numbers
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Completeness of Real Numbers

How Maxwell's Equations Were Discovered
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How Maxwell's Equations Were Discovered

Supremum and infimum EXAMPLES — Part 1 — Real ANALYSIS — Mathematics
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Supremum and infimum EXAMPLES — Part 1 — Real ANALYSIS — Mathematics

Bayes theorem, the geometry of changing beliefs
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Bayes theorem, the geometry of changing beliefs

Proof: Maximum of a Set is the Supremum | Real Analysis
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Proof: Maximum of a Set is the Supremum | Real Analysis

Supremum & Infimum --- Part 1 --- Supremum, Example and Completeness Axiom
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Supremum & Infimum --- Part 1 --- Supremum, Example and Completeness Axiom

Supremum of a set
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Supremum of a set

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