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Semiclassical
Semiclassical
21:04
@AntonioVargas oh hey
cpx
cpx
Hm?
Ah. set 'A' is the minimum set of all x such that y = Pmax.
@LeakyNun: Right?
Leaky Nun
Leaky Nun
it isn't a set
Semiclassical
Semiclassical
21:22
How many elements can be the smallest element of another set?
cpx
cpx
Minimum of that set? but it isn't a set?. I am confused.
Semiclassical
Semiclassical
{x|y = Pmax} is a set.
it's the values of x for which y is Pmax.
So what is min{x|y=Pmax} ?
(by definition)
cpx
cpx
Is min{x | y = Pmax} not a set?
Semiclassical
Semiclassical
Let's take an example. What's min{1,3,5} ?
cpx
cpx
1
Semiclassical
Semiclassical
21:25
Right. Is 1 a set?
cpx
cpx
No, it isn't..
Okay, minimum element of that.
Semiclassical
Semiclassical
Right.
It's the minimum element of a set.
cpx
cpx
How do I say it properly?
Whole thing.
Semiclassical
Semiclassical
I'd just say it's a value.
i.e. min{x|y=Pmax} is the smallest value of x for which y=Pmax
(there's no real difference between smallest vs. minimum)
cpx
cpx
Something like this if possible.. Minimum element of set A of all x's such that y = Pmax
Semiclassical
Semiclassical
21:30
“Smallest value of x for which the maximum value of y is achieved”?
cpx
cpx
Just wanted to include the "of all x's such that" line.
Perturbative
Perturbative
If $f : \mathbb{R}^+ \to \mathbb{R}$ is a monotonically increasing function, does it follow that $f(x + y) \leq f(x) + f(y)$?
Leaky Nun
Leaky Nun
@Perturbative no
Semiclassical
Semiclassical
@cpx sure
Perturbative
Perturbative
@LeakyNun What if we assume for all $x \in \mathbb{R}^+$ we have $f(x) \geq 0$ and $f$ is stricly concave?
Leaky Nun
Leaky Nun
21:44
@Perturbative yes, see Concave function § Functions of a single variable, #6
 
1 hour later…
PVAL-inactive
PVAL-inactive
23:08
This is a top story according to CNN cnn.com/2018/03/30/politics/…
Xander Henderson
Xander Henderson
well, then
that's a thing
Daminark
Daminark
23:33
:thonk:
@PVAL new profile picture I see
Xander Henderson
Xander Henderson
My profile pic looks like me, I assume that yours looks like you @Daminark, which implies that @PVAL-inactive just got plastic surgery
Daminark
Daminark
QED
Xander Henderson
Xander Henderson
QEMF'in'D, yo!
Antonio Vargas
Antonio Vargas
@Semiclassical greetings from the netherside
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