Archived threads in /sci/ - Science & Math - 1262. page

>>8454089
The best calculator is whichever one is nearest when I need to do some calculations. Or whichever one has the most buttons.

>>8454089
>For number crunching
Casio FX-991ES Plus

>For anything else
Get an actual PC
[spoiler]HP 50g is fine[/spoiler]

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Walmart® Calculator

"We have demonstrated a reconfigurable array of traps for single atoms, where we can prepare up to 50 individual atoms in separate traps deterministically, for future use in quantum information processing, quantum simulations, or precision measurements," says Vuletic, who is also a member of MIT's Research Laboratory of Electronics. "It's like Legos of atoms that you build up, and you can decide where you want each block to be."

The paper's other senior authors are lead author Manuel Endres and Markus Greiner and Mikhail Lukin of Harvard University.
Staying neutral

The team designed its technique to manipulate neutral atoms, which carry no electrical charge. Most other quantum experiments have involved charged atoms, or ions, as their charge makes them more easily trappable. Scientists have also shown that ions, under certain conditions, can be made to perform quantum gates—logical operations between two quantum bits, similar to logic gates in classical circuits. However, because of their charged nature, ions repel each other and are difficult to assemble in dense arrays.
Neutral atoms, on the other hand, have no problem being in close proximity. The main obstacle to using neutral atoms as qubits has been that, unlike ions, they experience very weak forces and are not easily held in place.

"The trick is to trap them, and in particular, to trap many of them," Vuletic says. "People have been able to trap many neutral atoms, but not in a way that you could form a regular structure with them. And for quantum computing, you need to be able to move specific atoms to specific locations, with individual control."
Setting the trap

To trap individual neutral atoms, the researchers first used a laser to cool a cloud of rubidium atoms to ultracold, near-absolute-zero temperatures, slowing the atoms down from their usual, high-speed trajectories.

They then directed a second laser beam through an instrument that splits the laser beam into many smaller beams, the number and angle of which depend on the radio frequency applied to the deflector.

The researchers focused the smaller laser beams through the cloud of ultracold atoms and found that each beam's focus—the point at which the beam's intensity was highest—attracted a single atom, essentially picking it out from the cloud and holding it in place.
"It's similar to charging up a comb by rubbing it against something woolen, and using it to pick up small pieces of paper," Vuletic says. "It's a similar process with atoms, which are attracted to regions of high intensity of the light field."

While the atoms are trapped, they emit light, which the scientists captured using a charge-coupled-device camera. By looking at their images, the researchers were able to discern which laser beams, or tweezers, were holding atoms and which were not. They could then change the radio frequency of each beam to "switch off" the tweezers without atoms, and rearrange those with atoms, to create arrays that were free of defects. The team ultimately created arrays of 50 atoms that were held in place for up to several seconds.
"The question is always, how many quantum operations can you perform in this time?" Vuletic says. "The typical timescale for neutral atoms is about 10 microseconds, so you could do about 100,000 operations in a second. We think for now this lifetime is fine."

Now, the team is investigating whether they can encourage neutral atoms to perform quantum gates—the most basic processing of information between two qubits. While others have demonstrated this between two neutral atoms, they have not been able to retain quantum gates in systems involving large numbers of atoms. If Vuletic and his colleagues can successfully induce quantum gates in their systems of 50 atoms or more, they will have taken a significant step toward realizing quantum computing.
"People would also like to do other experiments aside from quantum computing, such as simulating condensed matter physics, with a predetermined number of atoms, and now with this technique it should be possible," Vuletic says. "It's very exciting."

every second degree polynomial in two variables is a conic

>>8454023
how do you prove this?

>>8454033
You can do it with Spheres too.
http://www.nabla.hr/PC-ConicsProperties2.htm

>>8453902
Copenhagen isn't Many Wolrds

>>8453906
again i'm not a physics guy.
I was under the impression that the uncertainty principle and Schrodinger's theory stems from the Copenhagen interpretation.

shameless self bump.
Come on guys I thought you liked shit like this

>>8453854
If by "he" you mean (You), extremely

>>8453854
Why does he shake his head so much while talking?

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>>8453854
>How autistic is he?
probably not very, i've seen him lecture and he's very professional/businesslike and clearly practices

though he does have something like 5000 tex'd pages of math on his homepage

The only pattern that seems to work is (n^2)+4 but that would require the second number to be 4

are you sure the 2nd number isn't 8?

>>8453849
5+9-1=13
9+13-2=20
13+20-4=29
29+20-9=40
29+40-16=53

huh?

>>8453828
I don't know, exciting math beyond the basic calculus sequence and elementary linear algebra

>>8453823
You can start researching advanced mathematics whenever you decide to do so. Often the textbooks will include challenging problems for you to solve.

ask him specifically if he would write you a positive reference letter

if he says no, that's good, you just avoided a bad letter

>>8453814
How though? I will only have this one class to get him to know me.

>>8453811
which fields medalist anon?

Anyway it's much better to get a letter from someone who actually knows you. You are not going to get much from someone who prob doesn't even know your name.

>>8453765
That's my fucking cat bro. Don't make her a meme please

>>8453779
your kitty has already been meme'd.

>>8453779
Your cat is too beautiful to not let become a meme

>>8453697
So the thing with mathematics is that it is the only science we can ever be 100% sure of. So when it disagrees with observation, assuming no errors and correct observation, the only explanation is that there is math going on that we haven't discovered yet.

The math is never wrong.

>>8453697

then you've used the wrong theoretical model/framework i would say.

if the expected result and the actual result are inconsistent it means that either the equation didn't properly represent the actual process taking place, or there was a factor involved that wasn't accounted for ...which I guess are essentially the same thing in different words

You've only done one step and already question the validity. ..
Divide the numerator and denominator by cosxcosy

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>>8453699
but how are you supposed to know to uncancel such a thing? intuition of trying to make everything in terms of tan?

>>8453705
Yes exactly.

>IMG_3442.jpg
why did you take a picture of yourself

>>8453662
Do pure math and you'll never touch a butt like that.

>>8453665
already have tho

those are some hard questions to answer, anon

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Matter and energy transforms. It doesn't appear or dissapear. The matter in the universe always existed and it changes its form. It didn't suddenly start anything, it transforms and atoms morph into different entities. Existence is the default state of matter, there is no why or how.

You should first ask yourself the question that "before" there was anything (if that was ever the case), there was no sense of time an "fast", "quick", "suddenly", etc. are meaningless notions.
It's not like if you stand on the street and "suddenly" decide to flip your hands. For you on the street there is a notion of waiting until you do something.
If there is no time, then nothing is "suddenly". The start is just the start.

>>8453593
what is a "neuroscientist" really

>>8453607
Kurisu Makise

>>8453607
what do you mean?

is this your homework or do you actually think basic fraction problems are hard?

and it's D

Yep it's just a simple little problem I just like to give a brain teaser once in a while.

And no I just found it off of a random site