Lakeshow-Clipshow

[Ace]

Actually looks like it might be a game. :corn:

[KapitanTutan]

a road game for the lakas!







oh w8

[midnightpulp]

Clips are a tough handle for any team on a B2B, which is why I called the Spurs losing to them a couple of weeks ago.

The Lakers will probably wind up winning, but I wouldn't be surprised if the Clips stun them.

[RoddyBukkake]

Orange half-nig set to bukkake in the 2nd

kheboUnluBE

[DPG21920]

:lol What the hell was that Andre? Come at me bro

[Ace]

I was interested to see how Griffin would fair... Not going so well

[midnightpulp]

Jesus. Clips should be up ten. Lakers legitimately look like shit.

[Texas_Ranger]

lol Clippers dunking.

[Ace]

Wtf with all the miss dunks?

[HarlemHeat37]

Clippers have missed 3 dunks in a row:lol..the pressure of playing on the road..

[midnightpulp]

Only against the lucky ass Lakers would a team miss 3 point blank dunks in a row.

[Fpoonsie]

These games have become less and less unusual over the years, given the way Laker fans "travel."

[HarlemHeat37]

Pau getting double-teamed when they throw it in..hopefully they ignore him like they usually do:lol..

[DPG21920]

Aminu has shown some nice flashes of talent. He looks like a cooler version of Deng.

[Ace]

Clippers have talent. Smarts not so much...

[midnightpulp]

Lakers look absolutely fantastic.

[Fpoonsie]

Love Jordan's progression from last year to this. He used to be ALL athleticism, w/ the bbiq of a ducks/random gnsf incest baby.

[Killakobe81]

Midnight getting his Lakers obsess on ...

[midnightpulp]

And Del Negro, NO BARON DAVIS. Don't even think about it. Bledsoe is a matchup nightmare for the Laker PGs.

[Ace]

Love Jordan's progression from last year to this. He used to be ALL athleticism, w/ the bbiq of a ducks/random gnsf incest baby.
:lmao

[djohn2oo8]

Love Jordan's progression from last year to this. He used to be ALL athleticism, w/ the bbiq of a ducks/random gnsf incest baby.

Saw the dude play in high school....never seen a 7 footer throw down windmills

[DPG21920]

They need Baron imo. He is so much better than Bledsoe it's not even funny.

[KapitanTutan]

that griff boy i like

[midnightpulp]

They need Baron imo. He is so much better than Bledsoe it's not even funny.

I sincerely hope you're joking. Baron is absolute garbage.

[Fpoonsie]

Saw the dude play in high school....never seen a 7 footer throw down windmills

Got my first glimpse of him at A&M. He'd get the crowd off their feet and quickly back in their seats in back-to-back plays on tha reg.

[Ghazi]

midnight w/ a boner

[midnightpulp]

midnight w/ a boner

Not quite. The Clips need to win.

I ain't holding my breath.

[Fpoonsie]

:lol Clips' announcers.

"Lakers, you've just been Blake'd" after a yawn-worth two-handed, half-speed breakaway dunk.

[DPG21920]

I sincerely hope you're joking. Baron is absolute garbage.

No, not joking. Baron when he is healthy (which is rare), is clearly better than Bledsoe.

Baron is easily more talented. You need talent to beat LA. Baron has been playing pretty well since he returned from injury. Not shooting well, but passing well and playing pretty good defense.

[NRHector]

The Lakers look old playing against the Clippers, their bench is not helping very much

[Killakobe81]

Lol lakers

[DPG21920]

Jordan is still incredibly raw. It's amazing how mediocre he is at rebounding with his size and athletic ability.

[Koolaid_Man]

these dam kids being sassy...I tell ya...what does a parent have to do...

[Killakobe81]

We go in to Pau with no kobe on the floor and we get nothing ...

[DPG21920]

:wow great pass and Jordan got up son.

[Ghazi]

Pau > Dirk :lol :lmao

[DPG21920]

Blake almost got big on Odom. Blair is going to get his fair share of cheap shots tbh. People don't like getting dunked on and stared at.

[DPG21920]

Shannon Brown. Get real.

[DPG21920]

:lol Shannon Scrub

[KapitanTutan]

b diddy!

[Ghazi]

wow Brown

[SAtown]

lol nice shot

[KapitanTutan]

lol

[RoddyBukkake]

Bingo!

[DPG21920]

Every time I pick that scrub Brown up in fantasy he sucks. I watch LA play, he goes off.

[Ace]

Downtown Shannon Brown?

[HarlemHeat37]

:lol Shannon Brown >>> Kobe..


Every time I pick that scrub Brown up in fantasy he sucks. I watch LA play, he goes off.

I've had him on my team all year, he's been pretty consistent..it's a 20-team league though, so I couldn't have cut him anyways..

[Koolaid_Man]

nice subway game we got going here

[Fpoonsie]

Jordan is still incredibly raw. It's amazing how mediocre he is at rebounding with his size and athletic ability.

He's still grown by leaps and bounds since coming into the league. He's starting to hone his skills effectively.

I love Shannon Brown's game. One smoooooth sonuvabitch.

[Koolaid_Man]

:lol Shannon Brown >>> Kobe..


Koolaid's Dick >>>> HarlemHeat's Dick

[Ghazi]

Koolaid's Dick >>>> HarlemHeat's Dick

:lol

[erikuff]

more laker than clipper fans :lol

[Texas_Ranger]

Baron Davis sucks. :p

[Killakobe81]

Now the guys are finally playing when Pau is assertive it makes a HUGE difference ...

[HarlemHeat37]

Lakers looking smooth without Kobe, on both ends..

[Killakobe81]

Lakers are a step slow ...

[Man In Black]

more laker than clipper fans :lol
For many of those guys, it's the only times they can afford to go to Staples. :depressed

[Killakobe81]

Lakers looking smooth without Kobe, on both ends..

agree but Pau becoming assertive is the key ...

[Ghazi]

Lakers are deep...

[HarlemHeat37]

:lol the Clippers have to be the stupidest team in the NBA..I can't imagine what it would be like to watch them if you're a Clips fan..

[Killakobe81]

Blake and Brown have been huge as well

[KapitanTutan]

show's over clips

[DPG21920]

Just so many 3's. Not much you can to do with half court shots tbh.

[Koolaid_Man]

Lakers looking smooth without Kobe, on both ends..


bout as smooth as the head on my dick....

[Killakobe81]

Lakers have to save some energy to close this out ...

[Drachen]

what channel is this on in San Antonio?

[Fpoonsie]

bout as smooth as the head on my dick....

Whose would that be? Luva's?

[Koolaid_Man]

:lol the Clippers have to be the stupidest team in the NBA..I can't imagine what it would be like to watch them if you're a Clips fan..


prolly similar to watching the Heat

[HarlemHeat37]

I like how Phil put Artest on Griffin when Gordon went out..great coaching..

[DPG21920]

Lots of hard fouls on Blake.

[Ace]

bout as smooth as the head on my dick....

Surprised your fatass even knows you have a dick.

[Killakobe81]

Pau still off ...but he has made some good passes

[ElNono]

prolly similar to watching the Heat

kool with the goods

[DPG21920]

what channel is this on in San Antonio?

On NBA League Pass.

[DPG21920]

:lmao at that call

[Koolaid_Man]

I like how Phil put Artest on Griffin when Gordon went out..great coaching..


I like how Lebron called out his coaching for playing too many minutes...

[ElNono]

wtf? lol

[Fpoonsie]

Blake HAS ta' be exhausted...

[HarlemHeat37]

Gordon going to work, now that Artest switched onto Griffin..

[Ghazi]

eric gordon is a balla

[DPG21920]

Gordon going off.

[midnightpulp]

Best SG in LA doin' his thing.

[TDfan2007]

Bad teams find a way to lose...looks like the Clippers are on there way to fulfilling the prophecy.

[DPG21920]

Of course the guy I'm playing has him on his best week of the season.

[Drachen]

On NBA League Pass.

Ah, ok. No problem. Not that interested. I will just watch yall talk about it. Don't feel like using adthe.net.

[HarlemHeat37]

I like how Lebron called out his coaching for playing too many minutes...

Lebron called a meeting with his coach, and they have won 6 in a row since the meeting:lol..

[DPG21920]

Goes from shooting 20% on 3's to making them rain :lol

[Killakobe81]

I like how Phil put Artest on Griffin when Gordon went out..great coaching..

Agree. obviously Griffin is much faster but in the post he cant bully ron ron

[Killakobe81]

Laker girls have improved they used to be just dancers now they are hotter

[DPG21920]

Barnes hits Blake late on literally every play :lol

[ElNono]

I've never seen Odom get abused so easily in the post...

[HarlemHeat37]

Odom is hugging Griffin on that play every time..

Nice pass by Kobe, Odom has to make that..

[HarlemHeat37]

:lol Fisher didn't realize the shot clock was reset, uncharacteristic of him..

Clippers doubling Kobe to force perimeter shots is working, his teammates aren't helping him out..

[KapitanTutan]

or not :lol

[ElNono]

Here comes the Lakeshow

[HarlemHeat37]

Ryan Gomes is single-handedly killing the Clippers during this stretch..take him out..

[ElNono]

I can't believe the point blank shots the Clips are missing... reminds me of the game against us.

[Ghazi]

Lebron called a meeting with his coach, and they have won 6 in a row since the meeting:lol..

lol @ you thinking that means something. 5 scrub teams and the Jazz, big whoop

[midnightpulp]

Ryan Gomes is single-handedly killing the Clippers during this stretch..take him out..

No shit.

Clips will blow this.

[TDfan2007]

Lebron called a meeting with his coach, and they have won 6 in a row since the meeting:lol..

I don't get how you hate on Kobe, and yet don't scrutinize Lebron and his spoiled brat antics nearly as much. I agree with with almost all of your Kobe criticism, but throw that shit both ways.

[ElNono]

Lakers kinda flat, but you just feel they have one more run left.

[Killakobe81]

Jazz win is impressive im gla they are playing well Celtics was looking at an easy ride now they have another team to deal with ...

[KapitanTutan]

Lakers kinda flat, but you just feel they have one more run left.

and i feel it will be courtesy of shanon jordan brown

[ElNono]

This thread is lacking boobs, tbh, so I'm just going to throw this out there while the game is still on:

http://knowyourmeme.com/i/000/080/406/original/demotivational-posters-this-book.jpg

You're all welcome.

[HarlemHeat37]

I don't get how you hate on Kobe, and yet don't scrutinize Lebron and his spoiled brat antics nearly as much. I agree with with almost all of your Kobe criticism, but throw that shit both ways.

I don't care about "spoiled brat antics", 90% of athletes are spoiled divas..my hatred of Kobe is strictly based on his off-court stuff..




Does Phil ever play Shannon Brown in clutch time?..it seems like he always sits him at this time..

[ElNono]

Gasol can't grab a board

[ElNono]

I guess Gasol is tired?

[HarlemHeat37]

So, do the Lakers sit Gasol when Bynum comes back?..

[ElNono]

At least the Lakers are playing on the road... just sayin'

[Killakobe81]

Pau giving us nothing cant blame him Lakers are tired no way Pau should of played 40 mins last night TBH ...

BUT MVP candidates should be able to give you 40 mins and come back strong the next night ...

[DPG21920]

Bledsoe is not a good pg. Can't make an entry pass, misses cutters and just lacks vision.

[Ace]

I guess Gasol is tired?

His vagina is fatigue

[ElNono]

Here comes the Kome buzzer beater

[DJ Mbenga]

i see another harlem heat gasol thread coming.

[TDfan2007]

Gasol can't grab a board

He can't do anything except pass today...

[Nathan89]

.my hatred of Kobe is strictly based on his off-court stuff..

.

My hatred for Kobe is based on people overrating him.

[ElNono]

Klomar fouled out

[TDfan2007]

Aaaand as I say that he turns it over...

[Killakobe81]

Wow that is a weak call ... not saying it's not a foul ...but to foul out a guy on a call like that? Lakers should go small with shannon Bown

[ElNono]

Goddamn gordon

[ElNono]

There's the MVP with the basket :lol

[TDfan2007]

Clippers doing whatever they can to keep LA in it...

[ElNono]

lol Clipshow

[HarlemHeat37]

Clippers should be milking the clock more, they're going too early..Lakers have plenty of time to win this now..

[Killakobe81]

I guess that is PJ left ron in ...
Good, shit Philly ...

[DJ Mbenga]

Clippers should be milking the clock more, they're going too early..Lakers have plenty of time to win this now..

they have a 2 for 1 now. no more milking

[TDfan2007]

Kobe will win this game if the Clips don't score here...and I think they know. Shit-in-pants in 3...2...

[DPG21920]

lol Clipshow

Like it or not, they need baron to play big minutes. They lack skill and talent w/o him.

Gordon is good but between Gordon/Bledsoe they lack a true playmaker.

[Killakobe81]

There's the MVP with the basket :lol

Yep Kobe just pulled us within 1 ...:toast

LOL

[VBM]

Gordon trying to do it all himself

[ElNono]

:lmao

[RoddyBukkake]

the Clippers are the Fail boats

[spurs1990]

Fuck Gordon. How'd the SPurs lose to these jokers.

[TDfan2007]

:lmao

Gotta love the predictability

[Killakobe81]

Fucking RON MOTHERFUCKING ARTEST ...played Blake better than anyone on our team ...

[DJ Mbenga]

i really love eric gordon but his only issue is he is too short to be a sg. luckily for him not many players have the post game of a kobe. most are like lebron, the off the drible sg's.

[VBM]

Artest taking over defensively

[crc21209]

The Clippers are fucking idiots....way to go jackasses...two HUGE turnovers when you can not afford to have them...

[ElNono]

They double Kome the entire 4th and they play him one on one in the clutch... crazy stupid

[HarlemHeat37]

The Clippers are just so shitty:lol..even when they look like they have a win, they find a way to do something like this:lol..

Hopefully the Clippers can actually get a shot off here..

[it's me]

fucking Gordon dig a hole and stay there idiot.

[crc21209]

Fucking RON MOTHERFUCKING ARTEST ...played Blake better than anyone on our team ...

That's not a good sign...:lol

[Killakobe81]

Im more hyped by Ron's defense than Kobe with:
1. Assist to Pau
2. Bucket to pull within 1
3. Go ahead bucket

[KapitanTutan]

lol jordan

[crc21209]

:lol Foul to give....

[ElNono]

what the fuck happened? :lol

[HarlemHeat37]

Double Kobe, let somebody else beat you..Gordon hasn't been able to cover him all game..

If anybody else makes it, live with it..

[VBM]

Fish with the game-winner...book it

[Ace]

Lol Clippers accidentally did something right with the foul.

[ElNono]

told ya all, Kome buzzer beater

[spurs1990]

No way Kobe is clutch enough to score in 3 seconds.

No way.

[Killakobe81]

That's not a good sign...:lol

Normally I would agree but kid is a beast ...

[ElNono]

No way anybody other than Kome takes this shot

[ElNono]

:lmao :lmao :lmao

[crc21209]

Wow....pathetic.

[HarlemHeat37]

:lol:lol:lol How do you allow a Derek Fisher layup to beat you at the buzzer?:lol:lol:lol..this team is cursed..

[spurs1990]

Fish with the game-winner...book it

Yeah right.

[VBM]

Yup

[ElNono]

I don't think he got it out in time!

[Refocus]

lmao

[ShoogarBear]

Are the Clippers ever going to stop being the Clippers?

[RoddyBukkake]

:lol

[KapitanTutan]

fish

[ElNono]

ok, it was good
lol Del Negro

[Ace]

Wow

[Killakobe81]

D Motherfunkin' Fish!!!!!

Shades of te Finals vs. the Celts ....

Dude cant make lay-ups all game and makes THAT one ... LOL

[Gutter92]

ROFL, Fisher does the right thing and ignores Kobe @ the 3 pt line


This dude has proven many times he is the most clutch player...especially in the playoffs...

[Killakobe81]

no way anybody other than kome takes this shot

wrong. Lol

[DPG21920]

:lol Foul to give....

Fish doing his thing. Vinny w terrible decisions. Ran Blake into the ground and didn't keep baron in.

[Koolaid_Man]

Fish to the rescue again...go home crybabies

[Ghazi]

Lakers deserved to lose that one IMO..

[HarlemHeat37]

Bledsoe with the worst D I've seen in years..

[Texas_Ranger]

lol Clippers.

[midnightpulp]

Good game, Lakers. Still look like shit, though.

[DJ Mbenga]

lol the clipps had no business losing the game let alone with a fisher crap layup.

[Jelloisjigglin]

Clutch Fish! :lol

[LeCrab]

Hey laker and kobe nut slobbers why is that fisher is always taking the big shot and not kobe....

[ElNono]

wrong. Lol

:lol

[Flo-Rida]

Clippers playin like the clippers nothing new here

[ElNono]

how huge was that fluke shot by Shannon Brown to end the 3rd now?

[Killakobe81]

Kobe is our MVP ...

BUT fish is the "leader" of this team whether Laker fans hate on him or not ...

[TDfan2007]

I'm seriously laughing my ass off here. The Clippers are SO bad.

[ShoogarBear]

Bledsoe with the worst D I've seen in years..

C'mon, how was he supposed to keep up with Fish's lightening quick first step?

[DJ Mbenga]

Double Kobe, let somebody else beat you..Gordon hasn't been able to cover him all game..

If anybody else makes it, live with it..

ok.

[crc21209]

Bledsoe should be cut from the team...like now. How the fuck do you allow probably one of the oldest, slowest PG's in the game to blow by you and beat you at the buzzer with a fucking layup...WTF?!?!?

[TimmehC]

Bledsoe with the worst D I've seen in years..

This. Seriously, that wasn't even Nash-esque.

[KapitanTutan]

sry folks no lol threads tonight

[Killakobe81]

Good game, Lakers. Still look like shit, though.

All the wins are the same at year end ...we did not have the luxury of playing Gstate on the 2nd night of a back2back ...

[HarlemHeat37]

Fisher is so ridiculous though..

You see the guy miss easy layups for the entire game, every game, and they're always ugly bricks..when the game is on the line, obviously he makes it, and it has to be with 0.1 left:lol..

[Koolaid_Man]

Good game, Lakers. Still look like shit, though.


of course bitch what did u expect...

So Duncan surpassed in scoring one of the most Chicken Shit Centers In NBA History in Captain David Robinson.

In light of this, the 1st question posed by Koolaid is whose scoring feat is more impressive and why?


Duncan scores 20,921 in 13 seasons with 3159 assists along the way and since the Spurs basically have only a couple of ‘elite’ players in it’s history, the only player he really had to surpass was David chicken shit Robinson for the honor. In all-time NBA scoring today Duncan just barely cracks the top 30 in scoring while Kobe is number 12 all-time and getting ready to pass John Havilicek within the next 2 games for the 11th ALL-TIME spot.

Side note Kobe will be 6th all-time after this season.

Kobe on the other hand scores 26351 in 14 seasons ( with 4861 assists) and surpasses the current NBA Logo in Jerry West, along with a number of all-time great players ( such as Kareem, Magic, Wilt, Shaq, Baylor, etc). Now since it’s holiday season let me be generous…I will subtract Kobe’s rookie season numbers ( 539 points and 91 assists) to make the number of years even with Duncan , Kobe still outscores and assists Timmy by a universal light year.

The 2nd question is:


If Kobe is as selfish as Spur fan says then why is it that as a shooting guard ( whose job it is to shoot the ball) all-time Kobe has close to two-thousand more assists than Timmy Duncan. That’s right almost two-thousand more assists. Now we can understand why Timmy trails in points but surely with all the shooters Timmy’s had in his career and as a big man with his great passing ability and likelihood of double teams one would think that Duncan wouldn’t trail Kobe as badly as he does in assists.


I conducted a non-biased poll and at an almost 20:1 ratio people said it should be much easier for a center to rack up the assists.
Therefore the final question and answer would be:


Who’s really more selfish and who’s most productive… The scoring / assist numbers speak for themselves. As a first option of his title teams one would expect Duncan to lead Kobe, if not in points then surely in assists.



This is a huge indictment on Duncan’s legacy…and once again thanks to Kobe, he seems to love pissin on Kimmy…

[DPG21920]

Kobe is our MVP ...

BUT fish is the "leader" of this team whether Laker fans hate on him or not ...

How big was that bullshit technical during blakes ft attempt now?

[TDfan2007]

Like I said, bad teams find a way to lose. Just the way it is. Clippers always have been, and probably always will be, a bad team.

[spurs1990]

WTF?

A car chase on live TV.

[ShoogarBear]

I'm not sure Derek Fisher can drive down the lane from the top of the circle and hit a layup in three seconds in an empty gym.

But he can against the Clippers.

[Quit Hatin']

lol all you faggots still awake for this game. Well haters can cry themselves to sleep now.

[midnightpulp]

my basketball analysis sucks

[Koolaid_Man]

Cry Havoc....where are you baby...

[Koolaid_Man]

How big was that bullshit technical during blakes ft attempt now?


get over lil man

[midnightpulp]

lol all you faggots still awake for this game. Well haters can cry themselves to sleep now.

Why? Your team looks like total garbage.

[ElNono]

Good win Lakerfan... and you gotta give credit to the Clipshow for the lols :lol

[TDfan2007]

All the wins are the same at year end ...we did not have the luxury of playing Gstate on the 2nd night of a back2back ...

No, you just had the luxury of playing the worst team in the league/NBA history. Congrats on the win :tu

[DJ Mbenga]

Like I said, bad teams find a way to lose. Just the way it is. Clippers always have been, and probably always will be, a bad team.

lol this game was strange. in a game with kobe and gordon hot it ends with a deandre jordan dunk and a fisher layup. first of all lol defense and second of all. a fisher layup?

[Koolaid_Man]

So Duncan surpassed in scoring one of the most Chicken Shit Centers In NBA History in Captain David Robinson.

In light of this, the 1st question posed by Koolaid is whose scoring feat is more impressive and why?


Duncan scores 20,921 in 13 seasons with 3159 assists along the way and since the Spurs basically have only a couple of ‘elite’ players in it’s history, the only player he really had to surpass was David chicken shit Robinson for the honor. In all-time NBA scoring today Duncan just barely cracks the top 30 in scoring while Kobe is number 12 all-time and getting ready to pass John Havilicek within the next 2 games for the 11th ALL-TIME spot.

Side note Kobe will be 6th all-time after this season.

Kobe on the other hand scores 26351 in 14 seasons ( with 4861 assists) and surpasses the current NBA Logo in Jerry West, along with a number of all-time great players ( such as Kareem, Magic, Wilt, Shaq, Baylor, etc). Now since it’s holiday season let me be generous…I will subtract Kobe’s rookie season numbers ( 539 points and 91 assists) to make the number of years even with Duncan , Kobe still outscores and assists Timmy by a universal light year.

The 2nd question is:


If Kobe is as selfish as Spur fan says then why is it that as a shooting guard ( whose job it is to shoot the ball) all-time Kobe has close to two-thousand more assists than Timmy Duncan. That’s right almost two-thousand more assists. Now we can understand why Timmy trails in points but surely with all the shooters Timmy’s had in his career and as a big man with his great passing ability and likelihood of double teams one would think that Duncan wouldn’t trail Kobe as badly as he does in assists.


I conducted a non-biased poll and at an almost 20:1 ratio people said it should be much easier for a center to rack up the assists.
Therefore the final question and answer would be:


Who’s really more selfish and who’s most productive… The scoring / assist numbers speak for themselves. As a first option of his title teams one would expect Duncan to lead Kobe, if not in points then surely in assists.



This is a huge indictment on Duncan’s legacy…and once again thanks to Kobe, he seems to love pissin on Kimmy…

[Killakobe81]

Fisher is so ridiculous though..

You see the guy miss easy layups for the entire game, every game, and they're always ugly bricks..when the game is on the line, obviously he makes it, and it has to be with 0.1 left:lol..

amen. And that is why I defend this dude and have been even longer than I have defended Kobe. Fishers been dealing with crtics amongst the Laker fan base since he was drafted. Go to LG right now l9 ihavent been tonight) I bet there are start blake over i Fish posts ... ESPECIALLY because Blake played well tonight ...but fish is nails Love that ni$$a (no homo)

And yes closer than I would of like but a win is all that matters ...

[Jelloisjigglin]

Kobe is our MVP ...

BUT fish is the "leader" of this team whether Laker fans hate on him or not ...

Truer words have never been spoken.

[DPG21920]

Bledsoe is not a good pg. Can't make an entry pass, misses cutters and just lacks vision.


Like it or not, they need baron to play big minutes. They lack skill and talent w/o him.

Gordon is good but between Gordon/Bledsoe they lack a true playmaker.


Fish doing his thing. Vinny w terrible decisions. Ran Blake into the ground and didn't keep baron in.

Tbh

[VBM]

Fish with the game-winner...book it

http://steadfastfinances.com/blog/wp-content/uploads/2009/01/ms-cleo-not-as-good-as-pat-robertson.jpg

[HarlemHeat37]

Lakers looking like shit is irrelevant..none of these games mean anything at this point from a progression standpoint..the Lakers, Mavs, Spurs and whoever else won't look like they do now in the playoffs, obviously..the difference now(compared to previous years) is that there will be multiple teams competing for the #1 seed, so all these Ws matter for the standings, it doesn't matter how they get them..

Lakers will look much different when Bynum returns and with Gasol being allowed to save some energy for the long run..

[it's me]

stupid clips... how fluke was their win over the Spurs?........

[Quit Hatin']

Why? Your team looks like total garbage.

says the fan of a team called "griffin's bitches"

[midnightpulp]

So Duncan surpassed in scoring one of the most Chicken Shit Centers In NBA History in Captain David Robinson.

In light of this, the 1st question posed by Koolaid is whose scoring feat is more impressive and why?


Duncan scores 20,921 in 13 seasons with 3159 assists along the way and since the Spurs basically have only a couple of ‘elite’ players in it’s history, the only player he really had to surpass was David chicken shit Robinson for the honor. In all-time NBA scoring today Duncan just barely cracks the top 30 in scoring while Kobe is number 12 all-time and getting ready to pass John Havilicek within the next 2 games for the 11th ALL-TIME spot.

Side note Kobe will be 6th all-time after this season.

Kobe on the other hand scores 26351 in 14 seasons ( with 4861 assists) and surpasses the current NBA Logo in Jerry West, along with a number of all-time great players ( such as Kareem, Magic, Wilt, Shaq, Baylor, etc). Now since it’s holiday season let me be generous…I will subtract Kobe’s rookie season numbers ( 539 points and 91 assists) to make the number of years even with Duncan , Kobe still outscores and assists Timmy by a universal light year.

The 2nd question is:


If Kobe is as selfish as Spur fan says then why is it that as a shooting guard ( whose job it is to shoot the ball) all-time Kobe has close to two-thousand more assists than Timmy Duncan. That’s right almost two-thousand more assists. Now we can understand why Timmy trails in points but surely with all the shooters Timmy’s had in his career and as a big man with his great passing ability and likelihood of double teams one would think that Duncan wouldn’t trail Kobe as badly as he does in assists.


I conducted a non-biased poll and at an almost 20:1 ratio people said it should be much easier for a center to rack up the assists.
Therefore the final question and answer would be:


Who’s really more selfish and who’s most productive… The scoring / assist numbers speak for themselves. As a first option of his title teams one would expect Duncan to lead Kobe, if not in points then surely in assists.



This is a huge indictment on Duncan’s legacy…and once again thanks to Kobe, he seems to love pissin on Kimmy…

Didn't read it, tbh.

[Killakobe81]

No, you just had the luxury of playing the worst team in the league/NBA history. Congrats on the win :tu

Clips are not the worst team in the NBA right now that resides in Sacto or cleveland ...

But it was a closer than it should be win ... I was just teasing no need to get all sensitive ...

[midnightpulp]

So Duncan surpassed in scoring one of the most Chicken Shit Centers In NBA History in Captain David Robinson.

In light of this, the 1st question posed by Koolaid is whose scoring feat is more impressive and why?


Duncan scores 20,921 in 13 seasons with 3159 assists along the way and since the Spurs basically have only a couple of ‘elite’ players in it’s history, the only player he really had to surpass was David chicken shit Robinson for the honor. In all-time NBA scoring today Duncan just barely cracks the top 30 in scoring while Kobe is number 12 all-time and getting ready to pass John Havilicek within the next 2 games for the 11th ALL-TIME spot.

Side note Kobe will be 6th all-time after this season.

Kobe on the other hand scores 26351 in 14 seasons ( with 4861 assists) and surpasses the current NBA Logo in Jerry West, along with a number of all-time great players ( such as Kareem, Magic, Wilt, Shaq, Baylor, etc). Now since it’s holiday season let me be generous…I will subtract Kobe’s rookie season numbers ( 539 points and 91 assists) to make the number of years even with Duncan , Kobe still outscores and assists Timmy by a universal light year.

The 2nd question is:


If Kobe is as selfish as Spur fan says then why is it that as a shooting guard ( whose job it is to shoot the ball) all-time Kobe has close to two-thousand more assists than Timmy Duncan. That’s right almost two-thousand more assists. Now we can understand why Timmy trails in points but surely with all the shooters Timmy’s had in his career and as a big man with his great passing ability and likelihood of double teams one would think that Duncan wouldn’t trail Kobe as badly as he does in assists.


I conducted a non-biased poll and at an almost 20:1 ratio people said it should be much easier for a center to rack up the assists.
Therefore the final question and answer would be:


Who’s really more selfish and who’s most productive… The scoring / assist numbers speak for themselves. As a first option of his title teams one would expect Duncan to lead Kobe, if not in points then surely in assists.



This is a huge indictment on Duncan’s legacy…and once again thanks to Kobe, he seems to love pissin on Kimmy…

Still didn't read it.

[it's me]

now the fakers look like pure fucking garbage.......TBH

[Koolaid_Man]

Didn't read it, tbh.


not only did you read it...but you fucking can't stand me for it...I got your assses so sore with that one you won't be able to sit and shit for months...

[TDfan2007]

So Duncan surpassed in scoring one of the most Chicken Shit Centers In NBA History in Captain David Robinson.

In light of this, the 1st question posed by Koolaid is whose scoring feat is more impressive and why?


Duncan scores 20,921 in 13 seasons with 3159 assists along the way and since the Spurs basically have only a couple of ‘elite’ players in it’s history, the only player he really had to surpass was David chicken shit Robinson for the honor. In all-time NBA scoring today Duncan just barely cracks the top 30 in scoring while Kobe is number 12 all-time and getting ready to pass John Havilicek within the next 2 games for the 11th ALL-TIME spot.

Side note Kobe will be 6th all-time after this season.

Kobe on the other hand scores 26351 in 14 seasons ( with 4861 assists) and surpasses the current NBA Logo in Jerry West, along with a number of all-time great players ( such as Kareem, Magic, Wilt, Shaq, Baylor, etc). Now since it’s holiday season let me be generous…I will subtract Kobe’s rookie season numbers ( 539 points and 91 assists) to make the number of years even with Duncan , Kobe still outscores and assists Timmy by a universal light year.

The 2nd question is:


If Kobe is as selfish as Spur fan says then why is it that as a shooting guard ( whose job it is to shoot the ball) all-time Kobe has close to two-thousand more assists than Timmy Duncan. That’s right almost two-thousand more assists. Now we can understand why Timmy trails in points but surely with all the shooters Timmy’s had in his career and as a big man with his great passing ability and likelihood of double teams one would think that Duncan wouldn’t trail Kobe as badly as he does in assists.


I conducted a non-biased poll and at an almost 20:1 ratio people said it should be much easier for a center to rack up the assists.
Therefore the final question and answer would be:


Who’s really more selfish and who’s most productive… The scoring / assist numbers speak for themselves. As a first option of his title teams one would expect Duncan to lead Kobe, if not in points then surely in assists.



This is a huge indictment on Duncan’s legacy…and once again thanks to Kobe, he seems to love pissin on Kimmy…


:cry Tim Duncan has more rings as the top dog than Kobe, so I need to constantly make threads/posts bashing him :cry

:rolleyes you make lakaluva's takes sound intelligible...

[crc21209]

Fish has more worth than Duncan.:rolleyes

:lol Riiiight. When's the last time Fish dropped a triple double?

[ShoogarBear]

Wow, how pathetic do you have to be to troll a game thread for your own team . . . which they won?

[crc21209]

Lakers looking like shit is irrelevant..none of these games mean anything at this point from a progression standpoint..the Lakers, Mavs, Spurs and whoever else won't look like they do now in the playoffs, obviously..the difference now(compared to previous years) is that there will be multiple teams competing for the #1 seed, so all these Ws matter for the standings, it doesn't matter how they get them..

Lakers will look much different when Bynum returns and with Gasol being allowed to save some energy for the long run..

Yeah IF Bynum EVER returns...:lol

[Killakobe81]

Funny that Spur fans in here making fun when Minny gave the spurs two games like this and blew even bigger leads ...

In fact Luke R in the first game played much worse down the stretch than Bledsoe ...

[crc21209]

Wow, how pathetic do you have to be to troll a game thread for your own team . . . which they won?

:lol +1

[history2b]

Why? Your team looks like total garbage.


Lol, yeah total garbage. Talk about poor basketball analysis... your knowledge of the game is piss poor.

Personally I love watching the Spurs blow their wad prematurely.

[ElNono]

Funny that Spur fans in here making fun when Minny gave the spurs two games like this and blew even bigger leads ...

In fact Luke R in the first game played much worse down the stretch than Bledsoe ...

The Rocketshow took us to overtime without Brooks or Martin...
There are nights like that on a 82 game season...

[Killakobe81]

Ron was also big to this win ...without his defense and shannon bringing us back we lose. Kobe made the clutch shots or pass (to Pau) BUT Dfish came up clutch yet again ...

[history2b]

:lol Riiiight. When's the last time Fish dropped a triple double?

There's at least 100 guys here that would lick Tim Duncan's ass clean after every dump he takes... that has to count for something too.

[history2b]

Ron was also big to this win ...without his defense and shannon bringing us back we lose. Kobe made the clutch shots or pass (to Pau) BUT Dfish came up clutch yet again ...


Ron's my boy. Defense is the most underrated, underappreciated aspect of basketball.

[TDfan2007]

Funny that Spur fans in here making fun when Minny gave the spurs two games like this and blew even bigger leads ...

In fact Luke R in the first game played much worse down the stretch than Bledsoe ...

I'll give you this, BUT we're actually looking good this year. Because you guys aren't, and are the defensive champs, you get scrutinized more.

[ElNono]

There's at least 100 guys here that would lick Tim Duncan's ass clean after every dump he takes... that has to count for something too.

That's what you call basketball analysis? :lmao

[midnightpulp]

Ron's my boy. Defense is the most underrated, underappreciated aspect of basketball.

Uncertainty principle
From Wikipedia, the free encyclopedia
(Redirected from The Uncertainty Principle)
For other uses, see Uncertainty principle (disambiguation).
Quantum mechanics

Uncertainty principle
Introduction · Mathematical formulations
[show]Background
[show]Fundamental concepts
[show]Experiments
[show]Formulations
[show]Equations
[show]Interpretations
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[show]Scientists
v • d • e
In quantum mechanics, the Heisenberg uncertainty principle states by precise inequalities that certain pairs of physical properties, such as position and momentum, cannot be simultaneously known to arbitrarily high precision. That is, the more precisely one property is measured, the less precisely the other can be measured. It should be emphasized that this is not meant to be a statement about a researcher's ability to measure these specific pairs of quantities. Rather, it is a statement about the system itself. That is, a system cannot be defined to have simultaneously singular values of these pairs of quantities. The principle states that a minimum exists for the product of the uncertainties in these properties that is equal to or greater than one half of the reduced Planck constant (ħ = h/2π).
Published by Werner Heisenberg in 1927, the principle means that it is impossible to determine simultaneously both the position and momentum of an electron or any other particle with any great degree of accuracy or certainty. Moreover, the principle is not a statement about the limitations of a researcher's ability to measure particular quantities of a system, but it is a statement about the nature of the system itself as described by the equations of quantum mechanics.
In quantum physics, a particle is described by a wave packet, which gives rise to this phenomenon. Consider the measurement of the position of a particle. It could be anywhere. The particle's wave packet has non-zero amplitude, meaning the position is uncertain – it could be almost anywhere along the wave packet. To obtain an accurate reading of position, this wave packet must be 'compressed' as much as possible, meaning it must be made up of increasing numbers of sine waves added together. The momentum of the particle is proportional to the wavenumber of one of these waves, but it could be any of them. So a more precise position measurement – by adding together more waves – means the momentum measurement becomes less precise (and vice versa).
The only kind of wave with a definite position is concentrated at one point, and such a wave has an indefinite wavelength (and therefore an indefinite momentum). Conversely, the only kind of wave with a definite wavelength is an infinite regular periodic oscillation over all space, which has no definite position. So in quantum mechanics, there can be no states that describe a particle with both a definite position and a definite momentum. The more precise the position, the less precise the momentum.
A mathematical statement of the principle is that every quantum state has the property that the root mean square (RMS) deviation of the position from its mean (the standard deviation of the x-distribution):

times the RMS deviation of the momentum from its mean (the standard deviation of p):

can never be smaller than a fixed fraction of Planck's constant:

The uncertainty principle can be restated in terms of other measurement processes, which involves collapse of the wavefunction. When the position is initially localized by preparation, the wavefunction collapses to a narrow bump in an interval Δx > 0, and the momentum wavefunction becomes spread out. The particle's momentum is left uncertain by an amount inversely proportional to the accuracy of the position measurement:
.
If the initial preparation in Δx is understood as an observation or disturbance of the particles then this means that the uncertainty principle is related to the observer effect. However, this is not true in the case of the measurement process corresponding to the former inequality but only for the latter inequality.
Contents [hide]
1 Historical introduction
1.1 Terminology
1.2 Heisenberg's microscope
2 Critical reactions
2.1 Einstein's slit
2.2 Einstein's box
2.3 EPR paradox for entangled particles
2.4 Popper's criticism
3 Mathematical derivations
3.1 Physical Interpretation
3.2 Examples
4 Energy-time uncertainty principle
5 Entropic uncertainty principle
6 Uncertainty theorems in harmonic analysis
6.1 Benedicks's theorem
6.2 Hardy's uncertainty principle
7 Uncertainty principle of game theory
8 See also
9 Notes
10 References
11 External links
[edit]Historical introduction

Main article: Introduction to quantum mechanics
Werner Heisenberg formulated the uncertainty principle at Niels Bohr's institute in Copenhagen, while working on the mathematical foundations of quantum mechanics.
In 1925, following pioneering work with Hendrik Kramers, Heisenberg developed matrix mechanics, which replaced the ad-hoc old quantum theory with modern quantum mechanics. The central assumption was that the classical motion was not precise at the quantum level, and electrons in an atom did not travel on sharply defined orbits. Rather, the motion was smeared out in a strange way: the Fourier transform of time only involving those frequencies that could be seen in quantum jumps.
Heisenberg's paper did not admit any unobservable quantities like the exact position of the electron in an orbit at any time; he only allowed the theorist to talk about the Fourier components of the motion. Since the Fourier components were not defined at the classical frequencies, they could not be used to construct an exact trajectory, so that the formalism could not answer certain overly precise questions about where the electron was or how fast it was going.
The most striking property of Heisenberg's infinite matrices for the position and momentum is that they do not commute. Heisenberg's canonical commutation relation indicates by how much:
(see derivations below)
and this result did not have a clear physical interpretation in the beginning.
In March 1926, working in Bohr's institute, Heisenberg realized that the non-commutativity implies the uncertainty principle. This was a clear physical interpretation for the non-commutativity, and it laid the foundation for what became known as the Copenhagen interpretation of quantum mechanics. Heisenberg showed that the commutation relation implies an uncertainty, or in Bohr's language a complementarity.[1] Any two variables that do not commute cannot be measured simultaneously—the more precisely one is known, the less precisely the other can be known.
One way to understand the complementarity between position and momentum is by wave-particle duality. If a particle described by a plane wave passes through a narrow slit in a wall like a water-wave passing through a narrow channel, the particle diffracts and its wave comes out in a range of angles. The narrower the slit, the wider the diffracted wave and the greater the uncertainty in momentum afterwards. The laws of diffraction require that the spread in angle Δθ is about λ / d, where d is the slit width and λ is the wavelength. From the de Broglie relation, the size of the slit and the range in momentum of the diffracted wave are related by Heisenberg's rule:

In his celebrated 1927 paper, "Über den anschaulichen Inhalt der quantentheoretischen Kinematik und Mechanik" ("On the Perceptual Content of Quantum Theoretical Kinematics and Mechanics"), Heisenberg established this expression as the minimum amount of unavoidable momentum disturbance caused by any position measurement,[2] but he did not give a precise definition for the uncertainties Δx and Δp. Instead, he gave some plausible estimates in each case separately. In his Chicago lecture[3] he refined his principle:

But it was Kennard[4] in 1927 who first proved the modern inequality:

where ħ = h/2π, and σx, σp are the standard deviations of position and momentum. Heisenberg himself only proved relation (2) for the special case of Gaussian states.[3] However, it should be noted that σx and Δx are not the same quantities. σx and σp as defined in Kennard are obtained by making repeated measurements of position on an ensemble of systems and by making repeated measurements of momentum on an ensemble of systems and calculating the standard deviation of those measurements. The Kennard expression, therefore, says nothing about the simultaneous measurement of position and momentum.
A rigorous proof of a new inequality for simultaneous measurements in the spirit of Heisenberg and Bohr has been given recently. The measurement process is as follows: Whenever a particle is localized in a finite interval Δx > 0, then the standard deviation of its momentum satisfies

while the equal sign is given for Cosine states.[5]
[edit]Terminology
Throughout the main body of his original 1927 paper, written in German, Heisenberg used the word "unbestimmtheit" ("indeterminacy") to describe the basic theoretical principle. Only in the endnote did he switch to the word "unsicherheit" ("uncertainty"). However, when the English-language version of Heisenberg's textbook, The Physical Principles of the Quantum Theory, was published in 1930, the translation "uncertainty" was used, and it became the more commonly used term in the English language thereafter.[6]
[edit]Heisenberg's microscope


Heisenberg's gamma-ray microscope for locating an electron (shown in blue). The incoming gamma ray (shown in green) is scattered by the electron up into the microscope's aperture angle θ. The scattered gamma-ray is shown in red. Classical optics shows that the electron position can be resolved only up to an uncertainty Δx that depends on θ and the wavelength λ of the incoming light.
Main article: Heisenberg's microscope
One way in which Heisenberg originally argued for the uncertainty principle is by using an imaginary microscope as a measuring device.[3] He imagines an experimenter trying to measure the position and momentum of an electron by shooting a photon at it.
If the photon has a short wavelength, and therefore a large momentum, the position can be measured accurately. But the photon scatters in a random direction, transferring a large and uncertain amount of momentum to the electron. If the photon has a long wavelength and low momentum, the collision doesn't disturb the electron's momentum very much, but the scattering will reveal its position only vaguely.
If a large aperture is used for the microscope, the electron's location can be well resolved (see Rayleigh criterion); but by the principle of conservation of momentum, the transverse momentum of the incoming photon and hence the new momentum of the electron resolves poorly. If a small aperture is used, the accuracy of the two resolutions is the other way around.
The trade-offs imply that no matter what photon wavelength and aperture size are used, the product of the uncertainty in measured position and measured momentum is greater than or equal to a lower bound, which is up to a small numerical factor equal to Planck's constant.[7] Heisenberg did not care to formulate the uncertainty principle as an exact bound, and preferred to use it as a heuristic quantitative statement, correct up to small numerical factors.
[edit]Critical reactions

Main article: Bohr–Einstein debates
The Copenhagen interpretation of quantum mechanics and Heisenberg's Uncertainty Principle were in fact seen as twin targets by detractors who believed in an underlying determinism and realism. Within the Copenhagen interpretation of quantum mechanics, there is no fundamental reality the quantum state describes, just a prescription for calculating experimental results. There is no way to say what the state of a system fundamentally is, only what the result of observations might be.
Albert Einstein believed that randomness is a reflection of our ignorance of some fundamental property of reality, while Niels Bohr believed that the probability distributions are fundamental and irreducible, and depend on which measurements we choose to perform. Einstein and Bohr debated the uncertainty principle for many years.
[edit]Einstein's slit
The first of Einstein's thought experiments challenging the uncertainty principle went as follows:
Consider a particle passing through a slit of width d. The slit introduces an uncertainty in momentum of approximately h/d because the particle passes through the wall. But let us determine the momentum of the particle by measuring the recoil of the wall. In doing so, we find the momentum of the particle to arbitrary accuracy by conservation of momentum.
Bohr's response was that the wall is quantum mechanical as well, and that to measure the recoil to accuracy Δp the momentum of the wall must be known to this accuracy before the particle passes through. This introduces an uncertainty in the position of the wall and therefore the position of the slit equal to h / Δp, and if the wall's momentum is known precisely enough to measure the recoil, the slit's position is uncertain enough to disallow a position measurement.
A similar analysis with particles diffracting through multiple slits is given by Richard Feynman.[8]
[edit]Einstein's box
Another of Einstein's thought experiments (Einstein's box) was designed to challenge the time/energy uncertainty principle. It is very similar to the slit experiment in space, except here the narrow window the particle passes through is in time:
Consider a box filled with light. The box has a shutter that a clock opens and quickly closes at a precise time, and some of the light escapes. We can set the clock so that the time that the energy escapes is known. To measure the amount of energy that leaves, Einstein proposed weighing the box just after the emission. The missing energy lessens the weight of the box. If the box is mounted on a scale, it is naively possible to adjust the parameters so that the uncertainty principle is violated.
Bohr spent a day considering this setup, but eventually realized that if the energy of the box is precisely known, the time the shutter opens at is uncertain. If the case, scale, and box are in a gravitational field then, in some cases, it is the uncertainty of the position of the clock in the gravitational field that alters the ticking rate. This can introduce the right amount of uncertainty. This was ironic as it was Einstein himself who first discovered gravity's effect on clocks.
[edit]EPR paradox for entangled particles
Bohr was compelled to modify his understanding of the uncertainty principle after another thought experiment by Einstein. In 1935, Einstein, Podolsky and Rosen (see EPR paradox) published an analysis of widely separated entangled particles. Measuring one particle, Einstein realized, would alter the probability distribution of the other, yet here the other particle could not possibly be disturbed. This example led Bohr to revise his understanding of the principle, concluding that the uncertainty was not caused by a direct interaction.[9]
But Einstein came to much more far-reaching conclusions from the same thought experiment. He believed as "natural basic assumption" that a complete description of reality would have to predict the results of experiments from "locally changing deterministic quantities", and therefore would have to include more information than the maximum possible allowed by the uncertainty principle.
In 1964 John Bell showed that this assumption can be falsified, since it would imply a certain inequality between the probabilities of different experiments. Experimental results confirm the predictions of quantum mechanics, ruling out Einstein's basic assumption that led him to the suggestion of his hidden variables. (Ironically this is one of the best examples for Karl Popper's philosophy of invalidation of a theory by falsification-experiments; i.e. here Einstein's "basic assumption" became falsified by experiments based on Bell's inequalities; for the objections of Karl Popper against the Heisenberg inequality itself, see below.)
While it is possible to assume that quantum mechanical predictions are due to nonlocal hidden variables, and in fact David Bohm invented such a formulation, this is not a satisfactory resolution for the vast majority of physicists. The question of whether a random outcome is predetermined by a nonlocal theory can be philosophical, and potentially intractable. If the hidden variables are not constrained, they could just be a list of random digits that are used to produce the measurement outcomes. To make it sensible, the assumption of nonlocal hidden variables is sometimes augmented by a second assumption — that the size of the observable universe puts a limit on the computations that these variables can do. A nonlocal theory of this sort predicts that a quantum computer encounters fundamental obstacles when it tries to factor numbers of approximately 10,000 digits or more; an achievable task in quantum mechanics.[10]
[edit]Popper's criticism
Karl Popper criticized Heisenberg's form of the uncertainty principle, that a measurement of position disturbs the momentum, based on the following observation: if a particle with definite momentum passes through a narrow slit, the diffracted wave has some amplitude to go in the original direction of motion. If the momentum of the particle is measured after it goes through the slit, there is always some probability, however small, that the momentum will be the same as it was before.
Popper thinks of these rare events as falsifications of the uncertainty principle in Heisenberg's original formulation. To preserve the principle, he concludes that Heisenberg's relation does not apply to individual particles or measurements, but only to many identically prepared particles, called ensembles. Popper's criticism applies to nearly all probabilistic theories, since a probabilistic statement requires many measurements to either verify or falsify.
Popper's criticism does not trouble physicists who subscribe to the Copenhagen interpretation of Quantum Mechanics. Popper's presumption is that the measurement is revealing some preexisting information about the particle, the momentum, which the particle already possesses. According to the Copenhagen interpretation, the quantum mechanical description of the wavefunction is not a reflection of ignorance about the values of some more fundamental quantities; it is the complete description of the state of the particle. In this philosophical view, Popper's example is not a falsification, since after the particle diffracts through the slit and before the momentum is measured, the wavefunction is changed so that the momentum is still as uncertain as the principle demands.
[edit]Mathematical derivations

When linear operators A and B act on a function ψ(x), they don't always commute. A clear example is when operator B multiplies x, while operator A takes the derivative with respect to x. Then, for every wave function ψ(x) we can write


which in operator language means that

This example is important, because it is very close to the canonical commutation relation of quantum mechanics. There, in the position basis, the position operator multiplies the value of the wavefunction by x, while the corresponding momentum operator differentiates and multiplies by , so that:

It is the nonzero commutator that implies the uncertainty.
For any two operators A and B:

which is a statement of the Cauchy–Schwarz inequality for the inner product of the two vectors and . On the other hand, the expectation value of the product AB is always greater than the magnitude of its imaginary part:

and putting the two inequalities together for Hermitian operators gives the relation:

and the uncertainty principle is a special case.
[edit]Physical Interpretation
The inequality above acquires its dispersion interpretation:

where

is the mean of observable X in the state ψ and

is the corresponding standard deviation of observable X.
By substituting for A and for B in the general operator norm inequality, since the imaginary part of the product, the commutator is unaffected by the shift:

The big side of the inequality is the product of the norms of and , which in quantum mechanics are the standard deviations of A and B. The small side is the norm of the commutator, which for the position and momentum is just .
A further generalization is due to Schrödinger: Given any two Hermitian operators A and B, and a system in the state ψ, there are probability distributions for the value of a measurement of A and B, with standard deviations σA and σB. Then

where [A, B] = AB − BA is the commutator of A and B, {A,B}= AB+BA is the anticommutator. This inequality is sometimes called the Robertson–Schrödinger relation, and includes the Heisenberg uncertainty principle as a special case but for a different measurement process. The inequality with the commutator term only was developed in 1930 by Howard Percy Robertson, and Erwin Schrödinger added the anticommutator term a little later.
[edit]Examples
The Robertson-Schrödinger relation gives the uncertainty relation for any two observables that do not commute:
between position and momentum by applying the commutator relation :

between the kinetic energy T and position x of a particle :

between two orthogonal components of the total angular momentum operator of an object:

where i, j, k are distinct and Ji denotes angular momentum along the xi axis. This relation implies that only a single component of a system's angular momentum can be defined with arbitrary precision, normally the component parallel to an external (magnetic or electric) field.
between angular position and angular momentum of an object with small angular uncertainty:

between the number of electrons in a superconductor and the phase of its Ginzburg–Landau order parameter[11][12]

[edit]Energy-time uncertainty principle

One well-known uncertainty relation is not an obvious consequence of the Robertson–Schrödinger relation: the energy-time uncertainty principle.
Since energy bears the same relation to time as momentum does to space in special relativity, it was clear to many early founders, Niels Bohr among them, that the following relation holds:[2][3]

but it was not always obvious what Δt was, because the time at which the particle has a given state is not an operator belonging to the particle, it is a parameter describing the evolution of the system. As Lev Landau once joked "To violate the time-energy uncertainty relation all I have to do is measure the energy very precisely and then look at my watch!"[citation needed]
Nevertheless, Einstein and Bohr understood the heuristic meaning of the principle. A state that only exists for a short time cannot have a definite energy. To have a definite energy, the frequency of the state must accurately be defined, and this requires the state to hang around for many cycles, the reciprocal of the required accuracy.
For example, in spectroscopy, excited states have a finite lifetime. By the time-energy uncertainty principle, they do not have a definite energy, and each time they decay the energy they release is slightly different. The average energy of the outgoing photon has a peak at the theoretical energy of the state, but the distribution has a finite width called the natural linewidth. Fast-decaying states have a broad linewidth, while slow decaying states have a narrow linewidth.
The broad linewidth of fast decaying states makes it difficult to accurately measure the energy of the state, and researchers have even used microwave cavities to slow down the decay-rate, to get sharper peaks.[13] The same linewidth effect also makes it difficult to measure the rest mass of fast decaying particles in particle physics. The faster the particle decays, the less certain is its mass.
One false formulation of the energy-time uncertainty principle says that measuring the energy of a quantum system to an accuracy ΔE requires a time interval Δt > h / ΔE. This formulation is similar to the one alluded to in Landau's joke, and was explicitly invalidated by Y. Aharonov and D. Bohm in 1961. The time Δt in the uncertainty relation is the time during which the system exists unperturbed, not the time during which the experimental equipment is turned on.
Another common misconception is that the energy-time uncertainty principle says that the conservation of energy can be temporarily violated – energy can be "borrowed" from the Universe as long as it is "returned" within a short amount of time.[14] Although this agrees with the spirit of relativistic quantum mechanics, it is based on the false axiom that the energy of the Universe is an exactly known parameter at all times. More accurately, when events transpire at shorter time intervals, there is a greater uncertainty in the energy of these events. Therefore it is not that the conservation of energy is violated when quantum field theory uses temporary electron-positron pairs in its calculations, but that the energy of quantum systems is not known with enough precision to limit their behavior to a single, simple history. Thus the influence of all histories must be incorporated into quantum calculations, including those with much greater or much less energy than the mean of the measured/calculated energy distribution.
In 1936 Dirac offered a precise definition and derivation of the time-energy uncertainty relation in a relativistic quantum theory of "events".[citation needed] But a better-known, more widely used formulation of the time-energy uncertainty principle was given in 1945 by L. I. Mandelshtam and I. E. Tamm, as follows.[15] For a quantum system in a non-stationary state ψ and an observable B represented by a self-adjoint operator , the following formula holds:

where σE is the standard deviation of the energy operator in the state ψ, σB stands for the standard deviation of B. Although, the second factor in the left-hand side has dimension of time, it is different from the time parameter that enters Schrödinger equation. It is a lifetime of the state ψ with respect to the observable B. In other words, this is the time after which the expectation value changes appreciably.
[edit]Entropic uncertainty principle

Main article: Hirschman uncertainty
While formulating the many-worlds interpretation of quantum mechanics in 1957, Hugh Everett III discovered a much stronger formulation of the uncertainty principle.[16] In the inequality of standard deviations, some states, like the wavefunction

have a large standard deviation of position, but are actually a superposition of a small number of very narrow bumps. In this case, the momentum uncertainty is much larger than the standard deviation inequality would suggest. A better inequality uses the Shannon information content of the distribution, a measure of the number of bits learned when a random variable described by a probability distribution has a certain value.

The interpretation of I is that the number of bits of information an observer acquires when the value of x is given to accuracy ε is equal to Ix + log2(ε). The second part is just the number of bits past the decimal point, the first part is a logarithmic measure of the width of the distribution. For a uniform distribution of width Δx the information content is log2Δx. This quantity can be negative, which means that the distribution is narrower than one unit, so that learning the first few bits past the decimal point gives no information since they are not uncertain.
Taking the logarithm of Heisenberg's formulation of uncertainty in natural units.

but the lower bound is not precise.
Everett (and Hirschman[17]) conjectured that for all quantum states:

This was proven by Beckner in 1975.[18]
[edit]Uncertainty theorems in harmonic analysis

In the context of harmonic analysis, the uncertainty principle implies that one cannot at the same time localize the value of a function and its Fourier transform; to wit, the following inequality holds

Other purely mathematical formulations of uncertainty exist between a function ƒ and its Fourier transform. A variety of such results can be found in (Havin & Jöricke 1994) or (Folland & Sitaram 1997); for a short survey, see (Sitaram 2001).
[edit]Benedicks's theorem
Amrein-Berthier (Amrein & Berthier 1977) and Benedicks's theorem (Benedicks 1985) intuitively says that the set of points where ƒ is non-zero and the set of points where is nonzero cannot both be small. Specifically, it is impossible for a function ƒ in L2(R) and its Fourier transform to both be supported on sets of finite Lebesgue measure. In signal processing, this includes the following well-known result: a function cannot be both time limited and band limited. A more quantitative version is due to Nazarov (Nazarov 1994) and (Jaming 2007):

One expects that the factor CeC | S | | Σ | may be replaced by which is only known if either S or Σ is convex.
[edit]Hardy's uncertainty principle
The mathematician G. H. Hardy (Hardy 1933) formulated the following uncertainty principle: it is not possible for ƒ and to both be "very rapidly decreasing." Specifically, if ƒ is in L2(R), is such that and (C > 0,N an integer) then, if ab > 1,f = 0 while if ab = 1 then there is a polynomial P of degree such that . This was later improved as follows: if is such that then, f(x) = P(x)e − π < Ax,x > where P is a polynomial of degree and A is a real positive definite matrix.
This result was stated in Beurling's complete works without proof and proved in Hörmander (Hörmander 1991) (the case d = 1,N = 0) and Bonami–Demange–Jaming (Bonami, Demange & Jaming 2003) for the general case.
Note that Hörmander–Beurling's version implies the case ab > 1 in Hardy's Theorem while the version by Bonami–Demange–Jaming covers the full strength of Hardy's Theorem. A full description of the case ab < 1 as well as the following extension to Schwarz class distributions appears in Demange (Demange 2010): if is such that and then f(x) = P(x)e − π < Ax,x > where P is a polynomial and A is a real positive definite matrix.
[edit]Uncertainty principle of game theory

The uncertainty principle of game theory was formulated by Szekely and Rizzo in 2007.[19] This principle is a lower bound for the entropy of optimal strategies of players in terms of the commutator of two nonlinear operators: minimum and maximum. If the payoff matrix (aij) of an arbitrary zero-sum game is normalized (i.e. the smallest number in this matrix is 0, the biggest number is 1) and the commutator
minj maxi (aij) − maxi minj (aij) = h
then the entropy of the optimal strategy of any of the players cannot be smaller than the entropy of the two-point distribution [1/(1+h), h/(1+h)] and this is the best lower bound. (This is zero if and only if h = 0 i.e. if min and max are commutable in which case the game has pure nonrandom optimal strategies). As an application, one could optimize between these two-point strategies via considering the distribution [1/(1+h), h/(1+h)] on all pairs of pure strategies. In many practical cases we do not lose much by neglecting more complex strategies.
[edit]See also

Canonical commutation relation
Correspondence principle
Correspondence rules
Introduction to quantum mechanics
Heisenbug
Quantum indeterminacy
Gödel's incompleteness theorems
The Part and The Whole (book)
[edit]Notes

^ Bohr, Niels (1958), Atomic Physics and Human Knowledge, New York: Wiley, p. 38
^ a b Heisenberg, W. (1927), "Über den anschaulichen Inhalt der quantentheoretischen Kinematik und Mechanik", Zeitschrift für Physik 43 (3–4): 172–198, doi:10.1007/BF01397280.
^ a b c d Heisenberg, W. (1930), Physikalische Prinzipien der Quantentheorie, Leipzig: Hirzel English translation The Physical Principles of Quantum Theory. Chicago: University of Chicago Press, 1930.
^ Kennard, E. H. (1927), "Zur Quantenmechanik einfacher Bewegungstypen", Zeitschrift für Physik 44 (4–5): 326, doi:10.1007/BF01391200.
^ Schürmann, T.; Hoffmann, I. (2009), "A closer look at the uncertainty relation of position and momentum", Foundations of Physics 39 (8): 958–963, doi:10.1007/s10701-009-9310-0, arXiv:0811.2582.
^ Cassidy, David (2009), Beyond Uncertainty: Heisenberg, Quantum Physics, and the Bomb, New York: Bellevue Literary Press, p. 185
^ Tipler, Paul A.; Llewellyn, Ralph A. (1999), "5-5", Modern Physics (3rd ed.), W. H. Freeman and Co., ISBN 1572591641
^ Feynman lectures on Physics, vol 3, 2-2
^ Isaacson, Walter (2007), Einstein: His Life and Universe, New York: Simon & Schuster, p. 452, ISBN 9780743264730
^ Gerardus 't Hooft has at times advocated this point of view.
^ Likharev, K.K.; A.B. Zorin (1985), "Theory of Bloch-Wave Oscillations in Small Josephson Junctions", J. Low Temp. Phys. 59 (3/4): 347–382, doi:10.1007/BF00683782
^ Anderson, P.W. (1964), "Special Effects in Superconductivity", in Caianiello, E.R., Lectures on the Many-Body Problem, Vol. 2, New York: Academic Press
^ Gabrielse, Gerald; H. Dehmelt (1985), "Observation of Inhibited Spontaneous Emission", Physical Review Letters 55 (1): 67–70, doi:10.1103/PhysRevLett.55.67, PMID 10031682
^ Griffiths, David J. An Introduction to Quantum Mechanics Pearson / Prentice Hall (2005).
^ L. I. Mandelshtam, I. E. Tamm, The uncertainty relation between energy and time in nonrelativistic quantum mechanics, 1945
^ DeWitt, B. S.; Graham, N. (1973), The Many-Worlds Interpretation of Quantum Mechanics, Princeton: Princeton University Press, pp. 52–53, ISBN 0691081263
^ Hirschman, I. I., Jr. (1957), "A note on entropy", American Journal of Mathematics 79 (1): 152–156, doi:10.2307/2372390.
^ Beckner, W. (1975), "Inequalities in Fourier analysis", Annals of Mathematics 102 (6): 159–182, doi:10.2307/1970980.
^ Szekely, G. J. & Rizzo, M. L. (2007), "The Uncertainty Principle of Game Theory", American Mathematical Monthly 114 (8): 688–702.
[edit]References

Amrein, W.O.; Berthier, A.M. (1977), "On support properties of Lp}-functions and their Fourier transforms", J. Funct. Anal. 24: 258–267..
Benedicks, M. (1985), "On Fourier transforms of functions supported on sets of finite Lebesgue measure", J. Math. Anal. Appl. 106: 180–183, doi:10.1016/0022-247X(85)90140-4.
Bonami, A.; Demange, B.; Jaming, Ph. (2003), "Hermite functions and uncertainty principles for the Fourier and the windowed Fourier transforms.", Rev. Mat. Iberoamericana 19: 23–55..
Folland, Gerald; Sitaram, Alladi (May 1997), "The Uncertainty Principle: A Mathematical Survey" (PDF), Journal of Fourier Analysis and Applications 3 (3): 207–238, doi:10.1007/BF02649110, MR98f:42006
Hardy, G.H. (1933), "A theorem concerning Fourier transforms", J. London Math. Soc. 8: 227–231, doi:10.1112/jlms/s1-8.3.227.
Havin, V.; Jöricke, B. (1994), The Uncertainty Principle in Harmonic Analysis, Springer-Verlag.
Heisenberg, W. (1927), "Über den anschaulichen Inhalt der quantentheoretischen Kinematik und Mechanik", Zeitschrift für Physik 43: 172–198, doi:10.1007/BF01397280. English translation: J. A. Wheeler and H. Zurek, Quantum Theory and Measurement Princeton Univ. Press, 1983, pp. 62–84.
Hörmander, L. (1991), "A uniqueness theorem of Beurling for Fourier transform pairs", Ark. Mat. 29: 231–240.
Jaming, Ph. (2007), "Nazarov's uncertainty principles in higher dimension", J. Approx. Theory 149: 30–41, doi:10.1016/j.jat.2007.04.005.
Mandelshtam, Leonid; Tamm, Igor (1945), "The uncertainty relation between energy and time in nonrelativistic quantum mechanics", Izv. Akad. Nauk SSSR (ser. Fiz.) 9: 122–128. English translation: J. Phys. (USSR) 9, 249–254 (1945).
Nazarov, F. (1994), "Local estimates for exponential polynomials and their applications to inequalities of the uncertainty principle type,", St. Petersburg Math. J. 5: 663–717.
Sitaram, A (2001), "Uncertainty principle, mathematical", in Hazewinkel, Michiel, Encyclopaedia of Mathematics, Springer, ISBN 978-1556080104.
Zheng, Q.; Kobayashi, T. (1996), "Quantum Optics as a Relativistic Theory of Light", Physics Essays 9: 447, doi:10.4006/1.3029255. Annual Report, Department of Physics, School of Science, University of Tokyo (1992) 240.
[edit]External links

Annotated pre-publication proof sheet of Uber den anschaulichen Inhalt der quantentheoretischen Kinematik und Mechanik, March 23, 1927.
Matter as a Wave – a chapter from an online textbook
Quantum mechanics: Myths and facts
Stanford Encyclopedia of Philosophy entry
aip.org: Quantum mechanics 1925–1927 – The uncertainty principle
Eric Weisstein's World of Physics – Uncertainty principle
Fourier Transforms and Uncertainty at MathPages
Schrödinger equation from an exact uncertainty principle
John Baez on the time-energy uncertainty relation
The time-energy certainty relation – It is shown that something opposite to the time-energy uncertainty relation is true.
The certainty principle

[Killakobe81]

I'll give you this, BUT we're actually looking good this year. Because you guys aren't, and are the defensive champs, you get scrutinized more.

You guys can LOL at wins all you want i could care less the W is all that matters I actually ENJOYED this game ...so what more could i ask for an exciting game and a W ...

[hitmanyr2k]

Is Phil pissed at Gasol? Why is he running Pau into the ground with all of these minutes? He's logging playoff minutes right now :lol They have him out there with the starters. They have him out there with the bench. It's obvious these 40+ minute back to back games are wearing his ass out. The only time he gets a break is when LA blows a team out and that's not happening on the regular these days.

[ElNono]

You guys can LOL at wins all you want i could care less the W is all that matters I actually ENJOYED this game ...so what more could i ask for an exciting game and a W ...

Completely agree these games are the best... nerve wrecking shit... lol

[TDfan2007]

Ron was also big to this win ...without his defense and shannon bringing us back we lose. Kobe made the clutch shots or pass (to Pau) BUT Dfish came up clutch yet again ...

Artest was an amazing pickup for you guys last season. He shut down Durant in round 1, had that HUGE play against PHX in the WCF, and was incredible against Pierce in the finals and had that huge 3 in game 7. Fucking Lakers are so talented...

[Jelloisjigglin]

Is Phil pissed at Gasol? Why is he running Pau into the ground with all of these minutes? He's logging playoff minutes right now :lol They have him out there with the starters. They have him out there with the bench. It's obvious these 40+ minute back to back games are wearing his ass out. The only time he gets a break is when LA blows a team out and that's not happening on the regular these days.

Sadly, he really doesn't have a choice right now with Bynum and Ratliff being out...and now Caracter who sprained his ankle this game. Lakers have 2 bigs at the moment.

[DJ Mbenga]

Is Phil pissed at Gasol? Why is he running Pau into the ground with all of these minutes? He's logging playoff minutes right now :lol They have him out there with the starters. They have him out there with the bench. It's obvious these 40+ minute back to back games are wearing his ass out. The only time he gets a break is when LA blows a team out and that's not happening on the regular these days.

bynum and ratfliff are both hurt. their backup caracter sprained his ankle and was out the entire 2nd half. so basically the backup center was odom and backup pf is artest. tough times right now.

[hitmanyr2k]

Sadly, he really doesn't have a choice right now with Bynum and Ratliff being out...and now Caracter who sprained his ankle this game. Lakers have 2 bigs at the moment.

Damn. They better get Bynum back quick because Gasol is looking hagged out these days.