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Archived threads in /sci/ - Science & Math - 1660. page

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Chess thread.

Recommended reading
>My System - Nimzowitsch
>Endgame manual - Dvoretsky
>Zurich 1953 - Bronstein

1900 Elo here. I'll post some problems of various difficulty.
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White to move and win.
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Black to move and win.
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Not really useful, but still interesting.

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Doesn't Schrodingers cat make it plausible that some humans are walking around with their own wave functions uncollapsed? So some day you could look at one of those humans, and thus collapse his wavefunction and there will be a 50% probability that he dies. Maybe even you are one of them. Maybe some day a stare can kill you. Scary.
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>>8106249
wat?
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Your post collapsed my function
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>>8106249
Yes, this is exactly what Schrödinger was talking about

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The other one is over the bump limit

Anyone knows the answers to these?
320 posts and 34 images submitted.
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I know the answer would differ depending on the program, amount of students in said program, etc., but is it common to not be given any type of assistantship during the first year of a Master's degree?
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>>8097066
I would guess A for both, but I really have no clue.
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>>8097066
Use snell's Law. The index of refraction of vacuum is less than the index of refraction of air, so that means the angle in vacuum has to be larger than the the angle in air.

Now look at pic related. The red lines are the rays of light, and the blue lines represent the surface between air and vacuum and the lines normal to the surface. Snell's law applies to the angle between the light ray and line normal to the surface.
For question 7 (box labelled 8 in the picture) notice the angle the light makes with the normal line in air is smaller than it is in vacuum, just as we stated it should be from Snell's law. Now from an observer in space looking at the system (that's us looking at pic related) it appears that the light ray is pointed above the moon. So for number 7 the answer would be C. The same reasoning applies to question 8 (box 9), except it appears that the laser is pointed under the moon.

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What are interesting subfields of math?

I'm planning on buying a book for summer and learn a new topic from scratch. What are good subjects/books for an undergraduate?
(ie: a book that doesn't require too much background)

Also, ITT discuss your summer plans and ask/give recommendations.
57 posts and 7 images submitted.
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do a fucking internship.
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>>8104309
Bit late for that innit
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>>8104322
is it?

Which programming language is best to learn for math fags (not necessarily majoring in CS or anything). I'm thinking Python.
85 posts and 4 images submitted.
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Lisp
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Haskell
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>>8104016

Best: Maple, Matlab, C++
Useful: Lua, Python, Julia
Neato: Scheme/Racket, Haskell
If your job requires it: R, Fortran, Mathematica
Waste of time: Java, C#, Ruby, PHP, Brainfuck

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Anyone ever read Feynman's lectures? would you recommend them?
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>>8098914
No
read the book by dirac on qm and the one on black holes
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yeah, they're fantastic if you've already learned the physics

when i'm feeling disheartened/unmotivated, i crack these open and just read them for a while, by the end I'm smiling and motivated to do physics again
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>>8098926
>>8098941
ah shit, sounds like they're not much for me then. I heard feynman described as "the great explainer" and thought it might be good out-of-term reading to keep up with/ahead of my lectures. I'm an undergrad, do you know of any books which would provide good additional reading at essentially babby level?

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I'm having trouble reconciling what I know about physics and the concept of free will.

1. There is no distinction between atoms in a human and atoms in the wall, air, star, anywhere else.
2. The laws of physics are deterministic (other than probabilities in QM, but the outcome of statistical interactions are still out of human control so the argument still works)
3. At t = 0, a particle is at position x. With a given velocity and forces acting upon it, at t = 1 it is GUARANTEED to be at a given position y. This occurs with every particle. So if at t = 0 our brain begins to make a decision and t = 1 is the end of the decision, that decision was completely out of our control, and the motion of particles, and thus our mental stimulus, was guaranteed to occur with the data given at t = 0

As I said before even taking QM into account: sure the electron could be in 8 places instead of 1 place, we still have no control over that, and it is guaranteed to be one of those. Our brains follow the same rules as water, air, whatever, so if the motion of air can be determined the motion of our brain and thus decisions can be determined.

I've been thinking a lot about this recently, and it really bothers me. Can someone poke holes in this or point out anything I'm missing?
66 posts and 7 images submitted.
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>>8105413

Prove you have no free will
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>>8105413
>The laws of physics are deterministic

There are no laws of physics. Only approximate models which are deterministic. Even in classical mechanics, we have no way of knowing if any of the relationships are slightly random but beneath the thresholds we can measure them by.
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>>8105413
Do you have the ability to go to the nail salon wearing a pink tutu and riding a tie dye skateboard? Yes, you do. Therefore, you have free will. Stop circle-jerking over the nature of determinism and do some real science.

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>http://www.nature.com/news/two-hundred-terabyte-maths-proof-is-largest-ever-1.19990
>The puzzle that required the 200-terabyte proof, called the Boolean Pythagorean triples problem, has eluded mathematicians for decades. In the 1980s, Graham offered a prize of US$100 for anyone who could solve it. (He duly presented the check to one of the three computer scientists, Marijn Heule of the University of Texas at Austin, earlier this month.) The problem asks whether it is possible to color each positive integer either red or blue, so that no trio of integers a, b and c that satisfy Pythagoras’ famous equation [math] a^2 + b^2 = c^2 [/math] are all the same color. For example, for the Pythagorean triple 3, 4 and 5, if 3 and 5 were colored blue, 4 would have to be red.
>The numbers 1 to 7,824 can be colored either red or blue so that no trio a, b, and c that satisfy [math] a^2 + b^2 = c^2 [/math] are all the same color. The grid of 7,824 squares here shows one such solution, with numbers colored red or blue (a white square can be either). But for the numbers 1 to 7,825, there is no solution.
>There are more than [math] 10^2300 [/math] ways to color the integers up to 7,825, but the researchers took advantage of symmetries and several techniques from number theory to reduce the total number of possibilities that the computer had to check to just under 1 trillion. It took the team about 2 days running 800 processors in parallel
>http://arxiv.org/abs/1605.00723

And it only cost them $504,000 in electricity to win that $100.
>CS professors in charged of mathematics
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>>8104652
>CS professors in charged of mathematics
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>>8104652
can we agree that brute forcing problems isn't that cool
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>>8104675
I think it's pretty cool to be able to force a problem, it shows how much power we got.

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So, will it or won't it launch on schedule?
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>>8096537
Maybe it will. Maybe it wont.
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The cost of waiting a couple weeks is a lot less than the cost of fucking up.
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What time will it launch?

Sorry, i'm at uni

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What is the /sci/entific consensus on veganism?
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>>8080161
If you have to take supplements to make it work, it don't work.
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>>8080161
mental illness
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>>8080161
You'd serously trust a scientific consensus? Do you believe the scientific consensus on smoking, junk food, and global warming too?

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Other than writing research papers, what do you guys use LaTex for? I recall some anon's on here saying they actually put their lecture notes or example problems in LaTex. Worth it or autistic? Any other tips for using LaTex to make math life easier?
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I use it for making notes on Anki a lot. Being able to make flash cards for certain concepts and equations is neat to have in addition to reinforcing with problem sets. It's also great for making your own custom notes. Say you have several textbooks that you want to learn from, you simply take what's best out of all of them and transcribe into a LaTeX document, equations and all. It's like writing your own textbook
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>>8099338
Revision notes - it really helps to keep things organised around exam time.
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>>8099338
If you are going to be writing papers in LaTeX, getting practice by writing your notes in LaTeX is good anyway. You will eventually be able to type in TeX about as fast as you type normally. I have bad handwriting, so I like typing my notes, and when I took classes like model theory or commutative algebra, something which uses a lot of different alphabets (fracturs, script, greek, etc.), it became really helpful to be able to type things using the right symbols straight away.

Then you will also have a bank of code to copy and paste stuff from when you go to write that paper or type that homework assignment.

Is he right, /sci/?
68 posts and 6 images submitted.
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Is this topic actually not interesting?
Or you actually don't know about this matter?
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If we try to terraform by nuking Mars for example then I doubt it
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First, we don't have the technology to make another planet habitable, secondly, if/when we do develop this technology it will likely require the complete deconstruction of the planet's surface which is something we can't really do with an already-inhabited planet.

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Does the guy who made this have a point?
http://slideplayer.com/slide/3613197/
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>spends a fair amount of time walking upright
is not the same thing as
>is fully adapted to walking upright
if you watch bonobos walk, their gait is awkward as fuck. it's nowhere near as smooth as an animal fully adapted to upright walking

you can teach dogs or cats to spend lots of time upright too. that doesn't mean they're bipedal
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>>8096820
Evolution is yet to be proven to be disproven by anyone
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>>8096896
Evolution is not a falsifiable claim.

what was the biggest scientific mistake that stopped/drew science progress backwards for centuries ?

i'm asking for a scientific mistake, no religious debate allowed
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>>8088198
Probably the aether. At the time it was pretty reasonable, but still wrong.
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>>8088201
Well I mean dark matter is pretty similar isn't it?
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set theory

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Gambling noob, heres my question
So lets say youre at a casino, putting money on a coinflip which is exactly 50/50. What im thinking is that there should be almost no possible way to loose money provided that you can bet as much money as you would like as many times as you like and always recieve either the exact amout back if you win or loose the exact amount if you loose. So what Im thinking is that if you bet 5$ and loose, youre down 5. So you bet another 5 for the chance of making the money back. Now lets say you loosr again and youre down 10. You bet 10$ for a chance to break even. You keep repeating this until you eventually win and break even. Would this work? Anf if so, do people do this?
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>You keep repeating this until you eventually win and break even.
It's possible, but it's also possible you could lose for eternity.
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>>8100172
https://en.wikipedia.org/wiki/Martingale_(betting_system)

This is one of the simplest betting systems that a gambler discovers. It does not work and leads to tears and ruin. It doesn't take much analysis to realize that this strategy only works if you have infinite money and there is no bet limit.
>>
Casinos exist because they make money. You can only beat the system in games that you have some control over, such as counting cards in blackjack.

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