An Entropy Proof of the Arithmetic Mean–Geometric Mean Inequality. Issue 6 (2nd July 2020)
- Record Type:
- Journal Article
- Title:
- An Entropy Proof of the Arithmetic Mean–Geometric Mean Inequality. Issue 6 (2nd July 2020)
- Main Title:
- An Entropy Proof of the Arithmetic Mean–Geometric Mean Inequality
- Authors:
- Graham, Cole
Tokieda, Tadashi - Abstract:
- Abstract: Many proofs are known for the inequality between the arithmetic mean and the geometric mean. This note gives a new derivation, interpreting the means as final and initial values of entropy, and the inequality as the second law of thermodynamics.
- Is Part Of:
- American Mathematical Monthly. Volume 127:Issue 6(2020)
- Journal:
- American Mathematical Monthly
- Issue:
- Volume 127:Issue 6(2020)
- Issue Display:
- Volume 127, Issue 6 (2020)
- Year:
- 2020
- Volume:
- 127
- Issue:
- 6
- Issue Sort Value:
- 2020-0127-0006-0000
- Page Start:
- 545
- Page End:
- 546
- Publication Date:
- 2020-07-02
- Subjects:
- MSC: Primary 26D15 -- Secondary 82C05 -- 80A20
Mathematics -- Periodicals
510.5 - Journal URLs:
- https://www.tandfonline.com/loi/uamm20 ↗
http://www.tandfonline.com/ ↗ - DOI:
- 10.1080/00029890.2020.1738827 ↗
- Languages:
- English
- ISSNs:
- 0002-9890
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library DSC - BLDSS-3PM
British Library HMNTS - ELD Digital store - Ingest File:
- 13674.xml