you get a better optimum
You may get a better optimum, surely?
The collection of problems for which the optimum combined solution is the juxtaposition of the optima for the parts is nowhere dense, of measure zero, a variety of lower dimension, or any of a number of colourful phrases depending on which favourite branch of math you use to pose the question.
And I'm a physicist at heart. To me > and ≥ are the same, within experimental accuracy. guaranteed to evoke a violent reaction from police is to challenge their right to "define the situation." --- David Graeber citing Marc Cooper
And I'm a physicist at heart. To me > and ? are the same, within experimental accuracy.
While mathematicians worry about the difference. Don't get a worse optimum I can live with! You were worrying me with the other.
We're talking Reals, right?
≥ means there exists a number such that the statement to the left stops/halts at a singular and particular quantity. As in:
x + y ≥ 5 (E1)
Compare with:
x + y > 5 (E2)
in E1 5 is a member of the solution set while in E2 5 is a set descriptor, one may say, a property of the set, and is not a member of the set -- to avoid Russell's Paradox.
Enough of that American coloured water you call coffee: have an espresso, no, due espressi. guaranteed to evoke a violent reaction from police is to challenge their right to "define the situation." --- David Graeber citing Marc Cooper
I am drinking fresh ground Guatemala Antigua (Fair Trade) beans, French roasted, made in a French Press pot with water that has come to a full boil and then rested for 10 seconds before being added to the pot. The brew then steeps to bring out the oils and develope the caramel flavours.
Unfortunately, our Expresso Machine died. :-( So the occasional early AM double-shot is no longer available.
A: A heck of a lot, but nonconstructively. guaranteed to evoke a violent reaction from police is to challenge their right to "define the situation." --- David Graeber citing Marc Cooper