Timeline for Inequality involving three functions
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
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| Dec 3, 2018 at 22:20 | comment | added | Iosif Pinelis | @AlexandreEremenko : I know that, and I think it is a great pity. Instead of the simple and natural formula $F=q_1q_2/r^2$ in CGS for the Coulomb law, in SI they have this terrible extra factor $1/(4\pi\epsilon_0)$. Instead of only three basic CGS units, in SI they have 7 basic units (if my count is correct), including (yes) the basic unit candela; and then they have about 3 million derived SI units, mostly named after persons. Looks quite crazy to me! When I was in high school (late 60s), we only had to deal with CGS, thankfully. | |
| Dec 3, 2018 at 21:25 | comment | added | Alexandre Eremenko | @IosifPinelis: when I studied in high school (in mid 1970s) we were taught that CGS is out of date, and replaced with SI system en.wikipedia.org/wiki/International_System_of_Units. | |
| Dec 3, 2018 at 18:18 | comment | added | Iosif Pinelis | @AlexandreEremenko : This is how I was actually thinking (except that it was centimeters rather than feet :-); I certainly prefer the simple and natural Gauss metric unit CGS system (en.wikipedia.org/wiki/Gaussian_units) to any other), and this is what I meant by the "homogeneity considerations". | |
| Dec 3, 2018 at 14:44 | comment | added | Alexandre Eremenko | I woud state this simpler: if $f$ is dimensionless, and $u,v,h$ are measured in feet, then the left hand side has dimension $ft^3$ while the RHS has $ft^5$ and $ft^4$. And we have the same inconsistency whatever the dimension of $f$ is. | |
| Dec 3, 2018 at 2:53 | comment | added | Iosif Pinelis | I have provided details. | |
| Dec 3, 2018 at 2:52 | history | edited | Iosif Pinelis | CC BY-SA 4.0 |
added 163 characters in body
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| Dec 3, 2018 at 1:45 | comment | added | user64494 | Can you kindly elaborate your answer? In particular, why "Then the left side of your displayed inequalities is $\leq h^3$"? | |
| Dec 2, 2018 at 21:33 | history | answered | Iosif Pinelis | CC BY-SA 4.0 |