Presidential Address to Congress 2/24/09

[MannyIsGod]

So now it's control instead of hoard. How convenient. Still doesn't justify a minority paying income taxes to carry deadweight such as yourself.

LOL I'm deadweight now? How much did I pay in income tax this year? I'm pretty sure you won't hit the mark here.

In any event, they control and hoard the wealth for themselves. There has been a consolidation of wealth in this country over the past half century - it hasn't gone the other way around.

LOL @ how butt hurt you are. Awww.

[MannyIsGod]

And yet you support an administration who by all actions since assuming control of our country is working hard to consolidate more power over all of our lives for itself and its party.

[balli]

So now it's control instead of hoard. How convenient. Still doesn't justify a minority paying income taxes to carry deadweight such as yourself.

Go yourself asshole.

[Holt's Cat]

LOL I'm deadweight now? How much did I pay in income tax this year? I'm pretty sure you won't hit the mark here.

Probably $0.

In any event, they control and hoard the wealth for themselves. There has been a consolidation of wealth in this country over the past half century - it hasn't gone the other way around.

Ah, yes, the "they."

[Holt's Cat]

Go yourself asshole.

Poor baby.

[baseline bum]

Either of you guys wearing jock support? Link, please.

Nice. Someday the right wing will succeed in making that distribution into a true Dirac function.

[MannyIsGod]

Probably $0.

O Rly? I"ll publish my tax return on here if you publish yours.

Ah, yes, the "they."

[Winehole23]

Nice. Someday the right wing will succeed in making that distribution into a true Dirac function.

Once more please for the math impaired?

[baseline bum]

Dirac "function" is a nonnegative curve whose area under it is always 1, that has essentially infinite slope. It's technically not a function since it is hypothesized to be infinite at one point, zero everywhere else, with unit area under the curve (that curve would have area 0 te ally, since the measure of a finite set is 0).

Consider the dirac function of mean x0. Approximate it as a e, or an isoceles triangle sitting on the x-axis, centered at some x0, whose height is y0 and whose area is 1.



so,

area = area of triangle on left of blue line + area of triangle on right of blue line
        = 1/2 (h/2)* y0 + 1/2 * (h/2) * y0
        = h/2 * y0
        = 1

So, y0 = 2/h if area is 1.

(Aside: I don't know why I drew the thing using the name h for width instead of w. )

Anyways, say you squeeze the triangle on left and right to make h smaller, but it keeps its area. Then, that can only happen if y gets larger (since y=2/h, and h got smaller). Dirac delta of mean x0 is the limit of squeezing this e until h -> 0, which means y = 2/h -> infinity.

It was kind of a joke. The wealth of our nation is the area 1, and Bush kept squeezing the e until almost all of that area 1 is right near that 100th percentile of citizens. Not a perfect analogy since the L graph is one-sided and roughly exponential, but a similar idea.

EDIT: Wow, GIMP really butchered that image

[Winehole23]

That was, ah, too subtle by half.


Thanks for the demo just the same, baseline bum.

[Cant_Be_Faded]

I think its one of the most hilarious things in american history that they're actually saying this guy can be a republican candidate in 2012. It's like...he's neither old nor white enough.

[DarkReign]

Dirac "function" is a nonnegative curve whose area under it is always 1, that has essentially infinite slope. It's technically not a function since it is hypothesized to be infinite at one point, zero everywhere else, with unit area under the curve (that curve would have area 0 te ally, since the measure of a finite set is 0).

Consider the dirac function of mean x0. Approximate it as a e, or an isoceles triangle sitting on the x-axis, centered at some x0, whose height is y0 and whose area is 1.



so,

area = area of triangle on left of blue line + area of triangle on right of blue line
        = 1/2 (h/2)* y0 + 1/2 * (h/2) * y0
        = h/2 * y0
        = 1

So, y0 = 2/h if area is 1.

(Aside: I don't know why I drew the thing using the name h for width instead of w. )

Anyways, say you squeeze the triangle on left and right to make h smaller, but it keeps its area. Then, that can only happen if y gets larger (since y=2/h, and h got smaller). Dirac delta of mean x0 is the limit of squeezing this e until h -> 0, which means y = 2/h -> infinity.

It was kind of a joke. The wealth of our nation is the area 1, and Bush kept squeezing the e until almost all of that area 1 is right near that 100th percentile of citizens. Not a perfect analogy since the L graph is one-sided and roughly exponential, but a similar idea.

EDIT: Wow, GIMP really butchered that image

Im sure there are like, 3 people on this entire forum that understood this.

[spursfor5]

Dirac "function" is a nonnegative curve whose area under it is always 1, that has essentially infinite slope. It's technically not a function since it is hypothesized to be infinite at one point, zero everywhere else, with unit area under the curve (that curve would have area 0 te ally, since the measure of a finite set is 0).

Consider the dirac function of mean x0. Approximate it as a e, or an isoceles triangle sitting on the x-axis, centered at some x0, whose height is y0 and whose area is 1.



so,

area = area of triangle on left of blue line + area of triangle on right of blue line
        = 1/2 (h/2)* y0 + 1/2 * (h/2) * y0
        = h/2 * y0
        = 1

So, y0 = 2/h if area is 1.

(Aside: I don't know why I drew the thing using the name h for width instead of w. )

Anyways, say you squeeze the triangle on left and right to make h smaller, but it keeps its area. Then, that can only happen if y gets larger (since y=2/h, and h got smaller). Dirac delta of mean x0 is the limit of squeezing this e until h -> 0, which means y = 2/h -> infinity.

It was kind of a joke. The wealth of our nation is the area 1, and Bush kept squeezing the e until almost all of that area 1 is right near that 100th percentile of citizens. Not a perfect analogy since the L graph is one-sided and roughly exponential, but a similar idea.

EDIT: Wow, GIMP really butchered that image

I about died laughing when I saw this.

I guess my tuition is going to good use.

[baseline bum]

Im sure there are like, 3 people on this entire forum that understood this.

That's the simplified version. It's gotta be easier to read than the previous link with all the integrals.

[Winehole23]

So then Dirac Function maps the squishing of a triangle, to put it like a tyro?