Inequalities
42 videos • 4,424 views • by Mathematical Visual Proofs
Visual proofs of mathematical inequalities.
1
Mean Inequalities via Moments #SoME1 (visual proof)
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2
The Mediant Inequality I (visual proof)
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3
When is A^B greater than B^A I (visual proof)
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4
AM-GM Inequality II (visual proof)
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5
Visual Proof of AM-GM Inequality I
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6
When is A^B greater than B^A II (visual proof)
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7
Napier's Inequality (two visual proofs via calculus)
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8
Mean Inequalities (visual proof of AM-GM, HM-GM, and AM-QM inequalities)
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9
x + 1/x is greater than or equal to 2 when x is positive (visual proof)
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10
x plus 1/x is greater than or equal to 2 when x is positive II (visual proof)
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11
x plus 1/x is greater than or equal to 2 when x is positive III (visual proof)
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12
Bernoulli's Inequality (two visual proofs via calculus)
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13
x plus 1/x is greater than or equal to 2 when x is positive IV (visual proof via calculus)
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14
x plus 1/x is greater than or equal to 2 when x is positive IV (visual proof via calculus)
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15
Mediant Inequality II (visual proof)
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16
Cauchy Bunyakovsky Schwarz Inequality I (visual proof)
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17
AM-GM Inequality III (visual proof)
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18
Mediant Inequality III (visual proof)
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19
AM-GM Inequality IV (visual proof)
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20
Folding the AM-GM Inequality V (quick visual proof)
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21
AM-GM Inequality VI (visual proof)
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22
Olympiad Right Triangle Inequality (Canada 1969 - visual proof)
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23
AM-GM Inequality II
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24
Pi to e versus e to pi: which is larger? (Pi day short)
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25
e^ Pi vs Pi^e: which is bigger? II A Pre Pi-day battle. (visual proof; calculus)
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26
e^ Pi vs Pi^e: which is bigger? A Pi day battle. (visual proof; calculus)
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27
Arithmetic Mean-Root Mean Square Inequality (visual proof)
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28
Visual Cauchy-Schwarz Inequality
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29
Cauchy-Bunyakovsky-Schwarz Inequality II (visual proof)
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30
Fold the AM-GM inequality
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31
e^Pi vs Pi^e : which is larger? (pi day battle)
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32
Jordan's Inequality Visual Proof
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33
Sum of a positive number and its reciprocal from four rectangles in a square
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34
Sum of positive number and its reciprocal from a right triangle
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35
Which is larger: A^ B or B^A? (two visual proofs)
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36
Sum of positive number and its reciprocal from two triangles
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37
Sum of a Positive Number and its Reciprocal from Calculus
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38
Arithmetic Mean-Geometric Mean Visual Proof Compilation
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39
AM-GM Inequality via negative space
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40
Pi Times Phi using a Regular Icosagon Area (visual proof)
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41
Mediant Inequality I
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42
Mean Inequalities
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