Inequalities
42 videos • 4,036 views • by Mathematical Visual Proofs
Visual proofs of mathematical inequalities.
1
Mean Inequalities via Moments #SoME1 (visual proof)
Mathematical Visual Proofs
Download
2
The Mediant Inequality I (visual proof)
Mathematical Visual Proofs
Download
3
When is A^B greater than B^A I (visual proof)
Mathematical Visual Proofs
Download
4
AM-GM Inequality II (visual proof)
Mathematical Visual Proofs
Download
5
Visual Proof of AM-GM Inequality I
Mathematical Visual Proofs
Download
6
When is A^B greater than B^A II (visual proof)
Mathematical Visual Proofs
Download
7
Napier's Inequality (two visual proofs via calculus)
Mathematical Visual Proofs
Download
8
Mean Inequalities (visual proof of AM-GM, HM-GM, and AM-QM inequalities)
Mathematical Visual Proofs
Download
9
x + 1/x is greater than or equal to 2 when x is positive (visual proof)
Mathematical Visual Proofs
Download
10
x plus 1/x is greater than or equal to 2 when x is positive II (visual proof)
Mathematical Visual Proofs
Download
11
x plus 1/x is greater than or equal to 2 when x is positive III (visual proof)
Mathematical Visual Proofs
Download
12
Bernoulli's Inequality (two visual proofs via calculus)
Mathematical Visual Proofs
Download
13
x plus 1/x is greater than or equal to 2 when x is positive IV (visual proof via calculus)
Mathematical Visual Proofs
Download
14
x plus 1/x is greater than or equal to 2 when x is positive IV (visual proof via calculus)
Mathematical Visual Proofs
Download
15
Mediant Inequality II (visual proof)
Mathematical Visual Proofs
Download
16
Cauchy Bunyakovsky Schwarz Inequality I (visual proof)
Mathematical Visual Proofs
Download
17
AM-GM Inequality III (visual proof)
Mathematical Visual Proofs
Download
18
Mediant Inequality III (visual proof)
Mathematical Visual Proofs
Download
19
AM-GM Inequality IV (visual proof)
Mathematical Visual Proofs
Download
20
Folding the AM-GM Inequality V (quick visual proof)
Mathematical Visual Proofs
Download
21
AM-GM Inequality VI (visual proof)
Mathematical Visual Proofs
Download
22
Olympiad Right Triangle Inequality (Canada 1969 - visual proof)
Mathematical Visual Proofs
Download
23
AM-GM Inequality II
Mathematical Visual Proofs
Download
24
Pi to e versus e to pi: which is larger? (Pi day short)
Mathematical Visual Proofs
Download
25
e^ Pi vs Pi^e: which is bigger? II A Pre Pi-day battle. (visual proof; calculus)
Mathematical Visual Proofs
Download
26
e^ Pi vs Pi^e: which is bigger? A Pi day battle. (visual proof; calculus)
Mathematical Visual Proofs
Download
27
Arithmetic Mean-Root Mean Square Inequality (visual proof)
Mathematical Visual Proofs
Download
28
Visual Cauchy-Schwarz Inequality
Mathematical Visual Proofs
Download
29
Cauchy-Bunyakovsky-Schwarz Inequality II (visual proof)
Mathematical Visual Proofs
Download
30
Fold the AM-GM inequality
Mathematical Visual Proofs
Download
31
e^Pi vs Pi^e : which is larger? (pi day battle)
Mathematical Visual Proofs
Download
32
Jordan's Inequality Visual Proof
Mathematical Visual Proofs
Download
33
Sum of a positive number and its reciprocal from four rectangles in a square
Mathematical Visual Proofs
Download
34
Sum of positive number and its reciprocal from a right triangle
Mathematical Visual Proofs
Download
35
Which is larger: A^ B or B^A? (two visual proofs)
Mathematical Visual Proofs
Download
36
Sum of positive number and its reciprocal from two triangles
Mathematical Visual Proofs
Download
37
Sum of a Positive Number and its Reciprocal from Calculus
Mathematical Visual Proofs
Download
38
Arithmetic Mean-Geometric Mean Visual Proof Compilation
Mathematical Visual Proofs
Download
39
AM-GM Inequality via negative space
Mathematical Visual Proofs
Download
40
Pi Times Phi using a Regular Icosagon Area (visual proof)
Mathematical Visual Proofs
Download
41
Mediant Inequality I
Mathematical Visual Proofs
Download
42
Mean Inequalities
Mathematical Visual Proofs
Download