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Archived threads in /sci/ - Science & Math - 1373. page

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-a sheep is eaten by any wolf that is closest to it
-if there are multiple wolves that are the same distance from a sheep, they do not eat the sheep

find an arrangement of infinitely many wolves in which there is no safe place for sheep

is there a certain name/principle that this puzzle is based off of? the only solutions i've been able to find used circles and i can't think of another way to go about it cleanly

i was trying to do something like pic related, but each time you eliminate one safe location like 30 more appear
18 posts and 3 images submitted.
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>>8345571
Yes, it's the principle of "it's impossible lad", at least not the problem you gave us.
As soon as you have two wolves there is a safe place at the equidistant point between them.
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>>8345574
That only prevents those two wolves from eating that sheep, it does not prevent that sheep from getting eaten by another wolf which has a unique distance to it.
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>>8345574
so the only way for that scenario in the op to work is to have a shape with one point equidistant to all others and fill that with a wolf?

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>functional members of sociaty who complain about ailments with widely known, cheap and easy to obtain over the counter cures
>wont actually take anything
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>person on the internet uses the word "trigger" to imply that they have no control over their emotional responses to situations

fuck off, cunt
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>>8345547
>implying TMD is curable
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>>8345561

not but the common headache, heartburn, alergies, ect.. are

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/sci/ what is your advice to overcome your intuitions when you began in physics? I just got out of my first physics test as a freshman and one of the problems was really fucking with my head.
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>>8345497
First test, your first physics course?

what exactly was fucking with your mind?

imo classical mechanics is pretty aligned with intuition.
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>>8345500
Come on dude don't act like mechanics was fucking easy... they made these questions difficult. The question was regarding a mass on a hemisphere. I'll draw it out for you.
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There is also static friction acting on it. I can't even remember what we had to do with it initially but I remember the second part asking us to find and express the normal force and the last part was to find a relation between theta and r when the mass slips off.

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How do I learn proofs

Sick of getting trolled and told to read rudin. I need something that starts with the absolute basics and builds up from there.
17 posts and 2 images submitted.
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>>8345383
https://www.amazon.com/Fundamentals-Building-Construction-Materials-Interactive/dp/1118820193
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>>8345400
haha fuckin epic d00d :^) \m/ upvoted

edit: thanks for the gold kind stranger!
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>>8345383
>Sick of getting trolled and told to read rudin. I need something that starts with the absolute basics and builds up from there.
This book here:
https://www.amazon.com/Naive-Set-Theory-Paul-Halmos/dp/1614271313.
Yon can find it searching here:
http://bookzz.org/.
It gives you a nice foundation, but you still won't be able to study from Rudin.
You need to study on different easier mathematical analysis books before getting there.
Some proofs are only sketched and you won't be able to fill them out.
Others are too abstract for a brainlet.
Familiarize with set theory (and logic if you're willing to) first, then find a nice and rigorous linear algebra book.
Download as many books as possible and compare them.
Seriously you don't get there without a lot of patience and different textbooks if you're self studying.

Why is depression so common nowadays?

Pic unrelated
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People have nothing else to occupy their minds with, since people's lives are so damn comfy.
People don't have time to be depressed if every day they're fighting just to survive
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(((capitalism)))

real depression cases always end up with a trip to the psych ward and are treat with electro shock therapy or transcranial magnetic stimulation
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>>8345365
Here that you pussies? If you don't need ECT you're just bitchin.

BTW The TMS research for depression is inconclusive.

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Man, am I glad JSTOR uses that sweet sweet $25 per article to improve their service.
10 posts and 1 images submitted.
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Academic journals are less trustworthy when they have a low barrier of Entry.

In order to have a high barrier of Entry it needs to have a rigorous screening process.

People are less likely to trust the rigor of the screening process if it is low budget.

A high-budget screening process needs to be funded somehow. The Government can fund this process but then we get into issues of potential pro government bias in science.

Human culture has dictated that only expensive things can be trusted to have quality. JSTOR is the result
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>>8346365
Journals don't pay the people that review them you know that right?
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>>8346371
You don't need to use the money FOR anything. You just need to have the money involved someway to give the impression of quality.

Most people informed enough to understand the nuance usually is employed by a research university or equivalent anyways so they will not personally have to shoulder the cost

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Discuss the crazy ideas of warping the geometry of space-time using gravitational mechanics. The concept, art, impossiblities, effects, math, ALL OF IT.
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>>8345255
The problem with magical devices is that you can make up anything for them to fix any perceived problems.

Say for instance you use gravity to pull your ship along and you have gravity to use as ship's artificial gravity. Wouldn't one cause problems with the other? Of course, but with these magic devices all you need to say is, "There's a gravity compensator which accounts for that and prevents problems," which is another magic device.

Because of this, you can't really accurately talk about a real world application of any magic device.

How about you discuss real world things. Like the development of a mass driver for launching things into space and using rotational forces to develop artificial gravity in space. Then we can have all sorts of real world discussion about it without needing some /sci/ equivalent Dungeons & Dragons rule book to keep the magical universe we are talking about straight.
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>>8345455
>when brainlets can't understand the Chung-Freese metric so they claim it's all roleplaying
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>>8345473
Back to >>>/x/ kid.

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Take a look at this photo, its a photo from google earth of Nassau, Bahamas. Look at the shadow, its a shadow captured from the satellite of an aircraft... but is too big to be a common aircraft (download the image before they catch on!!!)
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>>8345192
That map tile just has a cloud shadow in it. Quite common actually.
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Are you retarded? A cloud shadow? I mean, how you know how to use a computer?
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Hi /sci/. Math hobbyist here.

For simple extensions of Q like [math]\sqrt{N}[/math] I know how to determine the matrix representation of multiplication by an element in the new field. But if I have a more complicated expression like [eqn]\sqrt{a+\sqrt{b}}[/eqn] which is a root of [eqn]x^8 -2(a^2+b)x^4 + (a^2-b)^2[/eqn] how do I find my basis vectors? Obviously I need 8 of them since the resulting polynomial is of degree 8.

Also is there a good web reference for this kind of thing? Representation theory / finite field extension stuff?

Thanks.
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>Thanks.

You're welcome.
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>>8345188
1,x,x^2,x^3,....,x^7.
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>>8345188
You should remember that your field is just
Q[x]/(x^8-2(a^2+b)x^4+(a^2-b)^2)
And the basis is just >>8345415
Since x^8=2(a^2+b)x^4-(a^2-b)^2 you can reduce any x^n with n>7 to some polynomial of degree 7 or less. And this is how you get your multiplication matrix for >>8345415.

Just as easy as this. I think it should be in any book with Galois theory

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What does /sci/ think of GM specifically for agriculture?
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>>8345137
I think it is being used too early for food production. More rigorous testing is needed to understand long term health effects as well as environmental impact. By long term, I mean 25+ years just for 1 study.
>>
man breed fruit for certain traits GOOD
man directly edit genes BAD

it's literally cavemen and hippies getting butthurt for no reason
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>>8345157
>being this bad at simple logic

That isn't even an argument point. Its like say "Ha! water is wet so lava is okay to drink!" Which is equally stupid. Perhaps you should use your non-caveman non-hippie intellect to come up with something that is actually going to make real sense?

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I am conducting undergrad research in statistical mechanics.
I need to learn C/C++ in order to do so. what is the best way to learn C?
19 posts and 1 images submitted.
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k&r
>>
>>8345083
Do you already know how to program?

Anyway, >>8345088 is still the best reference for C.

>C++
You can't learn C++, you can only unlearn good programming techniques until you can use C++.
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>>8345083
buy textbook
read it and do the exercises

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Hey guys, I'm in a "supposed" hard level math class (MAT137) but I've been studying computation mostly whereas this course is mostly proof/theorem focused.

Ex. Find the mistake in the following reasoning, then state and prove a corrected version:

Claim. The set of solutions to the inequality x2 > 2x is the interval (2,∞). Proof. When x = 0, then the inequality is false, since both sides are equal to 0. Thus we may assume that x 6= 0. Then we can divide both sides of the inequality by x (since x 6= 0). This gives x > 2, which is the same as x ∈ (2,∞).


If any of you /sci/geeks want to throw a fork my way and recommend me tips or books that will help develop skills in proof/theory, that'd be awesome.

Thanks.
11 posts and 1 images submitted.
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>>8344914
Best is Mathematical Proofs by Chartrand
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>>8344914
That problem is shit because not even the solution is right.

I thought the point was that they prove the right solution but with a broken argument.

Shit problem. Here the trivial solution: The mistake is the answer itself, and everything that preceded it because it yielded a wrong answer.

Tell that to the cuck you have for a math teacher god fucking damn. Such a stupid problem.
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>>8344987
dont be an autist, the error in the proof is clear. you need to find the error that yielded the wrong solution.

>>8344914
don't called it a supposed hard level math class, it's clearly an introduction to college math
if you want to be an undergrad in math, a great book to read is Analysis I by Terence Tao. Not only is it an easy-ish, slow analysis book, it includes a lot of important , enlightening topics in the first chapters like the construction of number systems, the axiom of choice, etc etc. (Analysis is a core first class in mathematics)

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ITT: hard life lessons you've learned while being in STEM major/career.

I'll start.
You play a very small part and that if you ever want to appear as a leader of a massive operation you've got to be good at casting illusions of how smart you are.

For those of us who don't have a lot of free time, you have to play a small part or drive yourself crazy trying to learn 2 or more domains of STEM.

Being in STEM is "nerdy" unless you're a leader, in which case, you're not really into STEM, you're just a manipulator with surface level knowledge
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>>8344745
People are stupid with or without degree
Social contacts are more important for having a good life than any knowledge you have in your head
People will always find a way to get you back for knowing shit more than them
>>
If you didn't push yourself into a more applied project/field, you have no room to bitch about how there are no jobs. Seriously, people come into grad school doing what interests them the most expecting to get a huge salary when they leave. That's literally rolling the dice with your future success, with a very high chance of a bad outcome.

It pays not to have social skills in the sciences. Professors at big name universities are not squirrelly autists who avoid contact. They are interested in and respect people who can carry a conversation. Many professors assess how you mesh socially with the people in their lab when you first enter grad school as well. Some will flat out suggest you leave because they want a smooth work environment.

Imposter syndrome is a real thing that a lot of people have.

In order of importance in choosing a lab for grad school:

1) join a project you like + will teach you skills to get you a good job
2) move far away from home when you go to grad school. Go on an adventure! It's really scary at first, but I promise it's fun.
3) join a friendly group / friendly professor.

Number 3 kind of goes with number 2. If you don't get some connections in this new place you are going to start getting lonely which is a very odd and sad feeling if you've never felt it before. Additionally, your lab is your support network. They will sometimes be the reason you are happy to come in and get working. The PI is more important than you know. They have power; make friends with them. They can literally influence your committee to keep you in grad school rather than fail you if necessary. It's also important they aren't an asshole. I just recently heard of a 5th year grad student (he's passed all qualifiers, he's going to be a PhD if he just defends his thesis) who flat out quit because he doesn't get along with his PI. You have enough mental stresses, don't let your boss be another one.
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>>8344745
The mitochondrion powers the cell

Consider a topological space (X,T).

Like many mathematical properties, paracompactness this is a notion of smallness. It's not about the smallness of a subset U of X, but smallness of a collection C of subsets U of X.

The definiton for a subset C of T to be locally finite says that you may consider a well choosen sample of neighborhoods (sets V∈T) and C ought to be finite with respect to that sample (i.e. finite pro V). Pic related for a concise definition.

A topologal space is paracompact if it has a cover with that local finiteness property.

The sample of V's above may be very big, so C is really only small w.r.t. the sample.
In a compact space, on the other hand, the cover itself is finite (and you don't need to consider that sample).

Note that the name locally compact is already used for the situation where every point x∈X has a compact neighborhood V.

Question:
What can we say, in general, about the notions of
paracompact vs. locally compact
??
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You talk about locally compact but your topic and the highlighted text in your pic talk about local finiteness. Which one is the property you are interested about?
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>>8344705
Okay, I switched up the title.

I'm interested in
1. paracompact (where the definition involves local finiteness)
vs.
2. locally compact.

E.g. you you consdier the classes of paracompact spaces and the class of locally compact spaces, who do they relate to each other, which is the stronger requirement, what is to add to make on imply the other (my main interested in the quesiton)? And finally, in which cases are they the same?
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>>8344682
Neither condition implies the other I think.
Metric implies paracompact. There are metric spaces which are not locally compact, example any infinite dimensional banach space.
A locally euclidean hausdorff space is metric iff it is paracompact iff the connected components are second countable. So a locally euclidean hausdorff connected space which is not normal (example in Bredon's topology) is not paracompact.
Locally compact hausdorff sigma-compact implies paracompact, though.

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