Timeline for Ways to prove an inequality
Current License: CC BY-SA 2.5
6 events
| when toggle format | what | by | license | comment | |
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| Jul 7, 2010 at 16:59 | comment | added | Andrés E. Caicedo | I agree with your point (not the "idealess" part). I am reading "convexity arguments" loosely, so that inequalities proved using first (and sometimes second) derivative arguments are included here. In that sense, Lagrange multipliers is part of that framework. | |
| Jul 7, 2010 at 15:32 | comment | added | Mariano Suárez-Álvarez | Well, most classical inequalities also follow more or less effortlessly from a little, straightforward, idealess computation using Lagrange multipliers, too. That is my point. | |
| Jul 7, 2010 at 15:30 | comment | added | Andrés E. Caicedo | Mariano: Yes, but the question is not about how to effectively teach inequalities to undergraduates, but about the tools we have to prove them. And most classical inequalities can be deduced from sum of squares arguments, or some form of convexity results. I actually think this question shows a nice insight. | |
| Jul 7, 2010 at 15:11 | comment | added | Mariano Suárez-Álvarez | I have no idea what 'heat flow' or 'entropy argument' mean in this context. Lagrange multipliers, on the other hand, are known to every undergraduate... | |
| Jul 7, 2010 at 15:07 | comment | added | user2529 | there is an argument that such a maximization (so called fastest descend) is actually a heat flow or entropy argument. Just from what I heard. | |
| Jul 7, 2010 at 15:03 | history | answered | Mariano Suárez-Álvarez | CC BY-SA 2.5 |