from Wiktionary, Creative Commons Attribution/Share-Alike License
- n. a point, or value, which is a maximum or a minimum
from the GNU version of the Collaborative International Dictionary of English
- n. the point located farthest from the middle of something.
- n. the most extreme possible amount or value.
from WordNet 3.0 Copyright 2006 by Princeton University. All rights reserved.
- n. the most extreme possible amount or value
- n. the point located farthest from the middle of something
And the value of E at the extremum is the entropy itself!
To see where this will lead, one can take the derivative of D with respect to y, and set it to zero to find the extremum which is indeed a minimum, but I’ll leave that detail to the reader:
Options markets have a volatility 'smile': the implied volatilities of the extremum strike prices are much higher than implied by gaussian distributions.
ShelbyC says: zuch: Not to mention, the Laffer curve, if it were true, does shows that increasing taxes increases tax revenues ... at one extremum.
And since traditional Christianity so obviously renounces this false freedom and stands against it, the opportunity to blame Tiller's death on all Christians who oppose abortion is simply too good to pass up for those who are committed to not only holding tightly to that freedom, but to expanding it ad extremum.
This always struck me as redundant, since if we assume the system obeys the equations of motion, the action must be invariant under ANY infinitesimal variation (since the EOM are found by assuming that the action is at an extremum).
Not to mention, the Laffer curve, if it were true, does shows that increasing taxes increases tax revenues ... at one extremum.
The basis for the comparisons made in this simulation do not define any “global” extremum.
Vocem iucunditatis annuntiate, et audiatur, alleluia: nuntiate usque ad extremum terræ: liberavit Dominus populum suum, alleluia, alleluia.
“Ex quo eventurum nostri putant id, de quo Panætium addubitare dicebant; ut ad extremum omnis mundus ignosceret, cum, humore consumpto, neque terra ali posset, neque remearet, aer cujus ortus, aqua omni exhausta, esse non posset; ita relinqui nihil præter ignem, a quo rursum animante ac Deo renovatio mundi fieret; atque idem ornatus oriretur.”