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Archived threads in /sci/ - Science & Math - 681. page

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Just took a calc 2 exam on Taylor polys and realized that calc 2 is for brainlets
>Is calc 3 that bad?
19 posts and 1 images submitted.
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Not as bad. When I was 15 I read Calculus made Easy by Martin Gardener over the summer, and ended up skipping Calc 1 and 2 and just went straight to Calc 3
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>>8787956
did you memorize all of your identities?


That's really the secret to calc 2. Being able to do the algebra and simplifications. The actual integration and derivatives are easy.

Also you're only in the first few weeks of class, it will get more difficult and quickly.
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>>8787956
calc III is easier than calc II

Post /sci/ books that can be read purely for fun. I'll post a few and stop if there is no interest.

Pic related is one of the best books of all time and I rarely see it mentioned
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"Fermtas last theorem" by Simon Singh is really fun to read!
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>>8787830
That's a great book. So is Code Book (by the same guy)

Personally I'm looking for more mathematical/science-y books. Pic related is good although not as much as my opening post
>>
>bedtime reading
>math

You honestly read math books during bed time? Wtf?

Fuck that noise. Reading math is the worst thing about being in this field. I like doing math. If I am to do anything math related during bedtime, I'm going to be thinking about something or trying to sketch a proof of something.

Fuck reading math.

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Hey /sci/, what would an object travelling around a black hole in the ergosphere look like to a distant observer? Mainly, I'm wondering how they would observe time passing for that object. I've read that rotating black holes bend light cones to such an extreme degree that paths greater than the 45 degree limit that bounds light cones in flat spacetime become traversable for objects in the ergosphere. In essence, distances that would be considered to be spacelike separated by distant observers are timelike separated to travelers in the ergosphere. In special relativity, any object that is travelling beyond the 45 degree limit of the light cone in flat spacetime will be seen as travelling backwards in time by some other equally valid frame of reference. Doesn't this mean that objects travelling around a black hole in the ergosphere will be seen by some distant observer as travelling backwards in time? I understand that I'm taking a concept from Special Relativity and am trying to reconcile it with a concept in General Relativity, so I'll admit my basic reasoning here might be flawed. Still, this is something that has been bothering me for a long time, pls halp.
11 posts and 1 images submitted.
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Also, I've read that light that gets stuck on the edge of the ergosphere trying to escape outwards going the wrong way is infinitely redshifted. Why wouldn't light leaving the ergosphere be infinitely blueshifted, like it's expected to be near the inner horizon of rotating and charged black holes.
>>
shameless bump, first page is filled with shit threads anyway
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>>8788090
Ya'll sure about that nigga? I'm pretty sure that objects in the ergosphere orbit large black holes in relatively short amount of times, as seen by outside viewers. Also I would imagine the amount of time dilation you see an object experiencing would depend on the angle you are viewing them at, and objects that are moving towards you in the ergosphere should have clocks that are possibly ticking faster than your own.

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Where did everything go wrong with physical and chemical pollution of our planet? What or who was the root cause?

>1800s fetish for burning coal
>1950s fetish for making new chemicals
>companies fault for selling highly polluting goods to everyone
>buyers fault for not using the goods correctly
>governments fault for not making environmental laws soon enough

Or are we all to blame? Have we been too ignorant?
12 posts and 1 images submitted.
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It's the fact that our current status quo, constructous apparatus, what has gotten humanity to where it is. It will not get us much farther. We need innovation, and we need it now.
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>>8787441
We're only human, it was bound to happen but there's hope.
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>>8787441
It was the Jews.

>"/pol/"

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>Be retard
>Leave modern SUV running in garage closed with the heater on as I take a piss and drink orange juice
>2-5 minutes later
>Go in and turn it the car off before opening garage
>Go back inside (Stupid I know)
>Finish food and check the detector, detector says no CO is in house. Is it because of the vent filters or my door being shut?
>Drive to work in the car, with widows open on a windy day for a minute, then let it vent out with the windows open.
>Got about a minute of fresh outdoor air

It's been days but I'm still scared of delayed problems?

Should I be concerned or am I just a pussy?
37 posts and 2 images submitted.
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>>8785977
In faster words, I might have been exposed to 15 - 30 seconds of garage CO to turn it off from at worst, 5 minutes of running.

I haven't passed out or had any trouble breathing. Will I be fine?
>>
You'll be alright besides the minor loss of ~30 IQ points.
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>>8785983
CO is not dangerous, CO2 is though.

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NoFap/ AntiPorn people claim watching porn causes impotence.

Scientifically, how is this possible?
62 posts and 3 images submitted.
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nofap is literally just meme tier reddit broscience, there's nothing to it
>>
From personal experience, it's because your dick gets tired and you find average women ugly because you are staring at hotties all day.

I don't think it causes permanent damage.
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>>8784374
You must preserve your vital masculine essence mang

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Among engineers, which subfield is regarded as the gayest?
67 posts and 13 images submitted.
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>>8782951
Rocket Science.
Except for the suicidal ones.
>>
electrical definitely has the least women, so that one
>>
Environmental. I started out as one but realized that no one respects it, and most people who get a degree in environmental engineering don't work in their field.

Engineering ranking in terms of outside opinion:
>Aerospace
>Nuclear
>Software
>Chemical/Biomedical
>Electrical
>Mechanical
>Petroleum/Mining
>Civil
>Environmental
Literally who tier:
>Industrial
>Architectural/Structural
>Materials
>Everything else

t. electrical engineer

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http://pmt.physicsandmathstutor.com/download/Maths/STEP/Papers/2015%20STEP%203.pdf

>taken by 17-18 year olds
>3 hours time limit for 6 questions
136 posts and 12 images submitted.
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Why would I waste 3 hours taking a test for 17-18 year olds, when I could take multiple online IQ tests in that same amount of time?
>>
first one is easy by noticing that integrating I_n - I_n+1 is the same as integrating u^2/(1+u^2)^n+1, which you can do by parts as u and u/(1+u^2)^n+1

the second part you just gotta iterate the formula
>>
>>8775614
Looks easy enough

I did the Oxford Physics Aptitude test when applying and that was easy as shit, so the Cambridge maths one probably is as well

It's mostly 16-17 year olds doing the test, it's done like 3/4 of a year before graduating highschool

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Y'all ready for this?
315 posts and 55 images submitted.
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Yes. Yes I am. If they pull it off then we are officially living in the future.
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>>8774571
It's going to explore you fucking idiot. The duture is not now, and people evolved to live on Earth, not in space so we don't belong there. Deal with it.
>>
>>8774547

https://www.youtube.com/watch?v=WvTm_BhZdOE right on dude

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Brainlet here. Can someone explain the definition of epimorphism to me and give me a simple example?

The definition I am using is the categorical one here: https://en.wikipedia.org/wiki/Epimorphism

I don't understand the definition.

Is it saying you have (in set theory terms) a set X, Y, Z and functions f, g1 and g2 s.t.,

g1 * f = g2 & f => g1 = g2

meaning....

f: X -> Y (X is the domain, Y is the codomain)

g1, g1: Y -> Z (Y is the domain, Z is the codomain) ?

My questions are:

How the fuck does this match the definition of surjectivity in set theory?

What if there are elements in Z that don't have any arrows from Y? I don't see anything in the definition that says there HAS to be an arrow for every element in Z to it from elements in Y.

Also,

what the fuck is this even saying with the arrows?

would this be an example satisfying the definition?

f(x)=y

g1(y) = 2
g2(y)=2

?

I don't "get" the definition. Please provide an example that makes it more clear.

I do not understand the example provided here: Set, sets and functions. To prove that every epimorphism f: X → Y in Set is surjective, we compose it with both the characteristic function g1: Y → {0,1} of the image f(X) and the map g2: Y → {0,1} that is constant 1.

so if someone could spell it out for a retard what that means/show me a clean example that shows me the definition in action it would be much apperciated

Thanks from a brianlet!
46 posts and 2 images submitted.
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>>8791187
you can only deduce g1 and g2 are equal if you're actually covering all the set
if there's a point that f doesn't reach, then you can create different functions by making them take a different value at that point (one of them can take 0, the other 1)
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>>8791200
Can you show me a trivial example (spelled out for me)? I am almost following.

So do you mean every object in the entire category has to have arrows, or does it mean only every object in the category Z ( in my example) has to have arrows mapped to it?
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>>8791187
En epimorphism is simply a function [math]f : X \rightarrow Y[/math] such that for any two functions [math]g_1,g_2 : Y \rightarrow T [/math] to some testobject T. we have that [math]g_1f = g_2f \implies g_1 = g_2 [/math].

Now if [math]f[/math] is surjective, then [math]f(X) = Y[/math] so this means [math]g_1, g_2[/math] coincide on all of [math]Y[/math], meaning [math]g_1 = g_2[/math]

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What's this board opinions on his fundamental math course video series?
24 posts and 2 images submitted.
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>>8791000
His is the right way to do math but there is a quick and dirty way to translate math from his version to the version accepted by the (((mathematical establishment))).

Find theorems using his theory.
Translate to (((their))) theory
Publish and get (((their))) money.
Repeat.

They say Perelman did this with his legendary proof but didn't accept the prize because a good Christian does not take money from (((them))).
>>
>>8791007
does he teach math until calculus or what?
>>
>>8791015
He teaches all sort of shit.

Number theory, integral calculus, geometry, trigonometry, algebra, topology. analysis. All has been covered.

There are gaps though. He hasn't finished his series and many topics have only been covered at an introductory level but if you already know modern algebra, and then you watch his introduction, you can translate the rest into his theory pretty easily.

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When are we making wireless electricity real ?
All those cables attached to my small appliances are driving me crazy. I just wished everything was cordless and aesthetic
12 posts and 4 images submitted.
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>>8790702
>I just wished everything wasted energy and had more latency
why?

fucking die you stupid normalfag, I hope this won't become a trend because of you brain dead normies who have no idea that shit like wireless audio is wasteful and of shit quality
>>
I can't imagine that pacemakers and computers would do well with wireless electricity
>>
>>8790709
Bad day?

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I want to be able to do these
>Solve mathematical puzzles.
>Prove mathematical theorems
>Able to do computation using combinatorics and permutation without trouble. Like I have hard time doing round dining table problems.

I have forgotten whatever topics I need to study to be able to develop skills in solving above types of problems. What is best sequence of topics I should study from basic to complex ones.
I guess most of us wants to do this.
30 posts and 4 images submitted.
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>>8790490
>how to prove theorems
you need a full math undergrad
the start is real analysis and linear algebra
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>>8790493
I am CS major.
I can know real analysis is needed but what is in linear algebra.Its just vectors and matrices.
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>>8790505
it would be wise to approach math in a more humble manner. linear algebra is relatively simple but not nearly as much as they make it look for non math majors. it is a very nice topic and you need to be able to use its tools very well for higher topics. using the correct book goes a long way, try Hoffman & Kunze

while I'm recommending books you can use Tao Analysis I for analysis

Wouldn't he produce a sonic boom and stuff if he runs faster than sound?
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The the rapid acceleration alone would kill him .

Which fortunately make for a better TV show because capeshit sucks ass.
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>>8790336
Because speed force. Any other question? The answer is speed force.

>>8790356
Speed force
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>>8790380
I cried to correct you, but I realized that I can't.

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Serious question:

If your laptop or phone battery suddenly starts smoking what are you supposed to do?

If you live in a house you can take it outside but what if you live in a flat? Put it in the bathub/shower? But what about the smoke that will spread out through your appartement? Isn't it toxic? Won't it leave residue over everything?
18 posts and 1 images submitted.
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Good question, I'd like to know as well
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>>8790295
Open a window and turn it off?
>>
>>8790295
throw it by the fucking window

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