Large Hardon Collider

[Kaylia]

My bad, its indeed negative. The "a" was a bigger constant that ate the negative sign

[Kaylia]

http://img36.imageshack.us/img36/7181/integral.jpg

It's born approximation for a central potential given by 1/r * e^(-r/a).

I know im missing a Pi from the triple integral...i think the rest is mostly fine but I didnt detail it yet, was trying to solve it on paper first. I'm stuck at the bottom integral, but it might be completely wrong, so i dunno.

[Woozie]

According to my calculator, the antiderivative is

[img]http://latex.codecogs.com/gif.latex?%28\frac{a*sin%28bx%29}{a^2+b^2}-\frac{b*cos%28bx%29}{a^2+b^2}%29e^{ax}[/img]

http://latex.codecogs.com/gif.latex?%28\frac{a*sin%28bx%29}{a^2+b^2}-\frac{b*cos%28bx%29}{a^2+b^2}%29e^{ax}

for some reason the image tags aren't working for this.

[Kaylia]

Only work when there is a .jpg at the, but thats fine, copy pasted it in my browser.


Well, that's what I ended up getting doing integration by part twice...too bad it's not working though lol, i need to start from scratch and figure out where I went wrong.

Thanks

[Woozie]

All the other equations I've ever posted was in this same format. Why did those work but this one doesn't?

[Kaylia]

All the other equations I've ever posted was in this same format. Why did those work but this one doesn't?

Weird, I could never post these when they didnt end with a traditional image format before.

[Eliseos]

I've probably said this before, but I hate exams that you can't really study for. My Theory of Computation exam is tomorrow, and I've spent the better part of the last 4 days "studying" for it. Most of the content of this class is so abstract, that by studying it, you don't really get better at it. I've been pouring over old exams and homework assignments, but I don't really feel like I've gained much by it. I think I understand the basics of it, but my professor always asks us to prove some minute detail, or gives a more difficult problem than that. It doesn't help that the class average is somewhere around a C- (well I guess it helps me if I do much better than that on the final).

Anyways, I saw probably the most hilarious grader comment on our group project for my Circuits II class that was returned on Monday. "You ignored every aspect of the original problem." We ignored it so much that we got an 85% on it. The project itself had to deal with designing a circuit that took a saw-tooth wave as input and generated a sinusoidal wave as output. Only problem is we didn't get to Fourier series until after the project was due, so we had no idea what we were doing.

[Mizango]

Here you go Eliseos

http://news.yahoo.com/s/livescience/...rnearly40years



Strange Physical Theory Proved After Nearly 40 Years

Clara Moskowitz
Staff Writer
LiveScience.com clara Moskowitz
staff Writer
livescience.com – 38 mins ago

When physicist Vitaly Efimov heard his theory had finally been proven, he ran up to the younger scientist who had verified it and gave him a high five.

Efimov had predicted a quantum-mechanical version of Borromean rings, a symbol that first showed up in Afghan Buddhist art from around the second century. The symbol depicts three rings linked together; if any ring were removed, they would all come apart.

Efimov theorized an analog to the rings using particles: Three particles (such as atoms or protons or even quarks) could be bound together in a stable state, even though any two of them could not bind without the third. The physicist first proposed the idea, based on a mathematical proof, in 1970. Since then, no one has been able to demonstrate the phenomenon in the lab - until recently.

A team of physicists led by Randy Hulet of Rice University in Houston finally achieved the trio of particles, and published their findings in the online journal Science Express.

"It was very exciting, because after 40 years of this prediction being out there, it was finally verified," Hulet told LiveScience.

Hulet presented his work at a meeting in Rome in October that Efimov also attended.

"He gave me a high five after my talk," Hulet recounted. "He was so enthusiastic and so excited to see this prediction become true."

Efimov had calculated that the triplet of bound particles was possible, and that it was repeating: New bound states could be achieved at higher and higher energy levels in an infinite progression. All of the bound states would occur at energy levels that were multiples of 515.

To prove that they had really created the trios, called Efimov trimers, the researchers produced one set of three lithium atoms bound together, and then reproduced it with a binding energy 515 times the first one. (Essentially, binding energy indicates how tightly the particles hold onto one another and how much energy it would take to pull them apart.)

The researchers used a setup called a Feshbach resonance that allowed them to tweak the energy levels of their atoms. They found that when they hit multiples of 515, the particles would bind, but at other energies they wouldn't, proving that the trios really were Efimov trimers.

"It's an amazing effect, really," Hulet said. "A lot of people didn't believe [Efimov] at first. It was a very strange prediction."

The theory is unique because it's a solution to a special case of what's called the "three-body" problem. Scientists have solved the "two-body" problem - that is, they have calculated exactly how two objects should move based on their starting positions, masses and velocities. Scientists can also calculate this scenario for many masses, but a pure solution to the general three-body problem has been elusive.

"Physicists can handle two-body problems quite well, and many-body problems fairly well, but when there are just a few objects, like the three bodies in these Efimov trimers, there are just too many variables," Hulet said.

The Efimov calculation isn't the solution to the general case, but rather a solution to a specific case of three bodies. Thus, discovering a real-life example of three particles fulfilling his prediction is an important step to learning more about few-body physics.

[Max™]

Once physicists finally master the three body solutions, we will begin using our superior brain power to seduce pairs of women into "demonstrating formal proofs" with us.

*steeples his fingertips and grins*

Yes, it's all coming together nicely...


Oh, see what I did there?

[Mizango]

lol indeed.

[Kaylia]

"Physicists can handle two-body problems quite well, and many-body problems fairly well, but when there are just a few objects, like the three bodies in these Efimov trimers, there are just too many variables," Hulet said.

I like how true it is.

1 body -> simple algebra
many bodies -> simple stats
a few bodies -> mathematical monster.

[Eliseos]

When physicist Vitaly Efimov heard his theory had finally been proven, he ran up to the younger scientist who had verified it and gave him a high five.

Haha, that is exactly how I imagine scientists after someone proves another's theory. Sort of like athletes after a win: "Good game brah".

[Max™]

I like how true it is.

1 body -> simple algebra
many bodies -> simple stats
a few bodies -> mathematical monster.

One body: Psychology
Many bodies: Politics
A few bodies: Relationships

Funny how that works out.

[Kaylia]

Haha, that is exactly how I imagine scientists after someone proves another's theory. Sort of like athletes after a win: "Good game brah".

I want to high five people every time I complete my homeworks after spending 50h on it. If I was proving a theory after 40 years old, I would be running naked on the street screaming my joy.

[Effluo]

One body: Psychology
Many bodies: Politics
A few bodies: Relationships

Funny how that works out.

One body: Murder
Many bodies: War
A few bodies: A solution

[Deftscythe]

Haha, that is exactly how I imagine scientists after someone proves another's theory. Sort of like athletes after a win: "Good game brah".

You'd think they'd give him a high one or high ten to make it easier to understand.

[Eliseos]

I want to high five people every time I complete my homeworks after spending 50h on it. If I was proving a theory after 40 years old, I would be running naked on the street screaming my joy.

And now we find the reason that everyone hates science: when a theory gets proven, the neighbors think that all scientists are crazy from their victory celebrations.

[Tristam]

I want to high five people every time I complete my homeworks after spending 50h on it. If I was proving a theory after 40 years old, I would be running naked on the street screaming my joy.

That's the problem with doing experiments, sometimes you don't get that Eureka moment lol. When I got the first data that eventually became my first paper, I thought I had broken or severely miscalibrated the instrument I was using. Took me days to realize I was observing something really cool. I still didn't believe it until I had collected a shitton more data and poked the system in ways that produced predictable effects.

[Woozie]

I want to high five people every time I complete my homeworks after spending 50h on it. If I was proving a theory after 40 years old, I would be running naked on the street screaming my joy.

So not only do we know that Max is Pythagoras reincarnated, but now we also know that Kaylia is Archimedes reincarnated.

[Mizango]

So not only do we know that Max is Pythagoras reincarnated, but now we also know that Kaylia is Archimedes reincarnated.

lol