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15748681 No.15748681 [Reply] [Original]

Formerly: >>15729927

>what is /sqt/ for?
Questions regarding maths and science. Also homework.
>where do I go for advice?
>>>/sci/scg or >>>/adv/
>where do I go for other questions and requests?
>>>/wsr/ >>>/g/sqt >>>/diy/sqt etc.
>how do I post math symbols (Latex)?
rentry.org/sci-latex-v1
>a plain google search didn't return anything, is there anything else I should try before asking the question here?
scholar.google.com
>where can I search for proofs?
proofwiki.org
>where can I look up if the question has already been asked here?
warosu.org/sci
eientei.xyz/sci
>how do I optimize an image losslessly?
trimage.org
pnggauntlet.com
>how do I find the source of an image?
images.google.com
tineye.com
saucenao.com
iqdb.org

>where can I get:
>books?
libgen.rs
annas-archive.org
stitz-zeager.com
openstax.org
activecalculus.org
>articles?
sci-hub.st
>book recs?
sites.google.com/site/scienceandmathguide
4chan-science.fandom.com/wiki//sci/_Wiki
math.ucr.edu/home/baez/physics/Administrivia/booklist.html
>online courses and lectures?
khanacademy.org
>charts?
imgur.com/a/pHfMGwE
imgur.com/a/ZZDVNk1
>tables, properties and material selection?
www.engineeringtoolbox.com
www.matweb.com
www.chemspider.com

Tips for asking questions here:
>attach an image (animal images are ideal, you can grab them from >>>/an/. Alternatively use anime from safebooru.donmai.us)
>avoid replying to yourself
>ask anonymously
>recheck the Latex before posting
>ignore shitpost replies
>avoid getting into arguments
>do not tell us where is it you came from
>do not mention how [other place] didn't answer your question so you're reposting it here
>if you need to ask for clarification fifteen times in a row, try to make the sequence easy to read through
>I'm not reading your handwriting
>I'm not flipping that sideways picture
>I'm not google translating your spanish
>don't ask to ask
>don't ask for a hint if you want a solution
>xyproblem.info

>> No.15749094

>the drift velocity of electrons in a wire is 23 um/s
>magnetism is electricity + relativity (and also some weird quantum shit that isn't involved in electromagnets afaik)
>objects can spin at any speed (within reason)
Could an electrically charged, spinning object produce a much greater magnetic field than traditional electromagnets?

>> No.15749119

>>15748681
What's the longest time you guys have spent on an assignment? I'm finding myself spending kind of ridiculous amounts of time on them, being super pedantic lately.
It's typical of me to finish the entirety of them in one or two sittings. Just finished up one that took me a total of like 10 hours over 2 days? Most I've probably spent is 15 hours non stop on a 7 page assignment.

>> No.15749204

>>15749119
I spent 8 hrs on one calc problem.

>> No.15749257
File: 17 KB, 848x792, ztemp.png [View same] [iqdb] [saucenao] [google]
15749257

Physics question\
Say this is an amusement park ride that goes up in the sky and spins in circles along the red path. You are sitting in the yellow cart when you jump off. Do you land near the blue circle, the purple circle, or the green circle

>> No.15749264

>>15749119
Depends entirely on the professor and the subject matter. In first and second year classes I'd say 2-3 hours. By senior year there were just straight up 12-20 hour assignments, but usually when it go to that level you had like 2 weeks to finish them

>> No.15749272
File: 181 KB, 1500x1000, antidepressant-medications.jpg [View same] [iqdb] [saucenao] [google]
15749272

What is the etiology of the increased risk of suicide after starting antidepressants? Do people suddenly feel good and then regret all the wasted time of feeling bad and the missed opportunities and experiences?

>> No.15749276

>>15749272
people get motivation back before they start feeling good and actually decide to go through with it

>> No.15749279

>>15749276
Makes sense, because if you truly "felt good" all of a sudden then you wouldn't kill yourself.

>> No.15749283

>>15749204
do you still have the problem? i'd be curious to look at it

>> No.15749331

>>15749257
You would move with the velocity you had at the instant you jumped then modified by gravity. Where'd you'd land I can't tell you because your picture is ass.

>> No.15749341

>>15749119
If all that time is spent productively and you are actively learning it's not wasted.

>>15749204
I think the longest I've ever spent on a single question was 5 days. It was a question on number theory - I hate number theory.

>> No.15749475

>>15749094

I'm going to guess no.
Sure, Maxwell-Heaviside says that moving charges produce a magnetic field. And like you said, its related to relativity.
But with a current flowing through a metal wire, you have a moving electron flow and a stationary ion lattice. The negative stream and positive lattice are moving at different speeds. That contrast means that the overall wire can look different in different reference frames. Thanks to the whole length contraction thing.
If you had something like a charged metal sphere, well, thats just an ion lattice. There is a difference in charge, but the positive parts and negative parts are moving at the same speed. There is no contrast to view them differently in different reference frames. It all looks the same no matter how they are moving.
Spinning or not, you would just get a plain old electric coulomb force.

>> No.15749500

>>15749331
so it would be the green one then? You keep experiencing the velocity but not the circular acceleration and just travel in a straight line tangent to where you were in the circle?

>> No.15749509

>>15749257
It's been about 10 years. I believe it was one with 12 nested trig identities. I don't recall for sure though.

>> No.15749523

>>15749500
Yup. It would the instantaneous velocity, so the derivative of the angular acceleration, i.e. the tangent.

>> No.15749530

>>15748681
are quantum electron fields relatable to a swarm of gnats?

>> No.15749546

>>15749530
no. there is only one, single electron field.

>> No.15749576
File: 1.56 MB, 2343x1407, 20230917035017406.jpg [View same] [iqdb] [saucenao] [google]
15749576

>>15748681
I need help with this, I can't wrap my brain around it. Yes I am slow, thanks.

>> No.15749600

>>15749576
Hint: The letters are already done for you.
Just do the numbers.

>> No.15749611

>>15749600
Correct me if I'm wrong but that would make the answer 15. Correct?

>> No.15749633

>>15749611
>>15749600
Very good

>> No.15749690
File: 289 KB, 1000x1000, skeleton-of-a-newborn-4104437782.png [View same] [iqdb] [saucenao] [google]
15749690

How long can modern medicine keep just my head alive? Additionally would it be possible to remove my skull and have me remain conscious?
I want to see my skeleton.

>> No.15749968

>>15749576
>>15749600
>>15749611
>>15749633
NTA but 15 is not the answer, will not spoonfeed tho.

>> No.15750010

>>15749690
Shut up

>> No.15750044

>>15748681
Can you see visible light in space?
The sun and stars that we see on Earth is from light that is hitting the atmosphere (which is why stars twinkle iirc)
Without that atmosphere, is it even possible to see those sources of light with the naked eye?
Lots of people claim that the limitation of cameras is to blame for pictures of black space but why would our eyes fair any better

>> No.15750264

Is there a collective term for expectation, variance and covariance operators?

>> No.15750315
File: 803 KB, 720x1600, Screenshot_20230907-180227.png [View same] [iqdb] [saucenao] [google]
15750315

OPNOTE Went to the hospital to give them some 25 oranges (and some tuna chunks in olive oil?) And they were closed. Also even ate the pretsels - 5heu were close to my chest!- heart shaped, and supposed to make the nurse with a button down shirt too low fall in love with me. But they are not open. Now I have 25 oranges
It was going to be 24 anyway to make itook like I eat them
I suspect the hospital was.cllsed because I forgot to open the orange bag

>> No.15750691

>>15750044
> The sun and stars that we see on Earth is from light that is hitting the atmosphere
Not all of it, much of the light doesn't interact at all and goes directly into your eyes.

> which is why stars twinkle
Stars twinkle because of micro-variations in air temperature and pressure in the air causing the light to be slightly refracted. It's the same effect that causes heat shimmers on the ground. Since the arc length of a star is so small, they are essentially points, it does not take much refraction to cause you to momentary lose sight of the star.

So if there was no atmosphere you would still see that stars but they would never twinkle, and it's why in space you can still see stars with the naked eye.

>> No.15750740
File: 11 KB, 428x148, 2.png [View same] [iqdb] [saucenao] [google]
15750740

Can somebody help me? I can only solve it using integration by parts, but I cannot find the correct substitution. I tried using trig identity but came to nothing in the end.

>> No.15750789

>>15750740
The integral is 0 because both the lower and upper integral bound are the same.

>> No.15750790

>>15749119
I spent like 2 days in a combinatory problem.

>> No.15750792

>>15750789
In this case, it's an indefinite integral brother. I need to find the antiderivative.

>> No.15750795

>>15750740
> I can only solve it using integration by parts
Is that part of the question? I can solve it but not by using i.b.p

>> No.15750799

>>15750795

Yes, I solved it via substitution, but the book asked IBP method there

>> No.15750849

>>15750691
Thanks, anon

>> No.15751033

Getting filtered in classical mechanics, any tips ? (AP mechanics calc with undergrad concepts too) a more rigorous version than normal AP mechanics calc classes

>> No.15751117

>>15751033
You can try lagrangias and hamiltonians.

>> No.15751121

>>15751117
Lagrangians

>> No.15751124

>>15750740
Bump again, I did two times i.b.p but the integral just get worse.

>> No.15751174

>>15750740
>>15751124
Have you tried the substitution [math]1=\cos^2+\sin^2[/math], which would get you a numerator of [math]\cos{x}+x\sin{x}-\cos^{2}x-\sin^2{x} = -\cos{x} (\cos{x} - 1) - \sin{x} (\sin{x} - x)[/math]?

>> No.15751224
File: 525 KB, 1415x924, Screenshot_20230917_213408_Samsung Notes.jpg [View same] [iqdb] [saucenao] [google]
15751224

Why are x= +/- infinity treated as the same point for the Schwarz-Christoffel mapping? Why do they both go to the same vertex?

>> No.15751229
File: 9 KB, 747x267, 6597067076.png [View same] [iqdb] [saucenao] [google]
15751229

Brainlet here. I haven't done any integration for like two years and I'm looking at the solution for one of my transport phenomena questions.
Basically, is pic related valid? F(x) is quit a long function, but has no y variables, so can I just go ahead and pull out the upper limit as a constant if I'm integrating with respect to y?

>> No.15751287

Semiconductor physics question

Is the fermi energy level of a silicon equivalent to the instrinsic energy level where there's no doping or temperature?

>> No.15751376

>>15751229
If you're integrating with respect to y, the antiderivative is y times f(x) evaluated between 0 and 2 with will simplify to what you said so, I think is correct,

>> No.15751399

Can someone who did undergrad quantum mechanics tell me if this is solvable? If yes, how would you go about doing so?

https://imgur.com/a/YLOMms9

>> No.15751587

>>15751399
At a glance it looks solvable. You would first have to ensure the wavefunction is continuous at x=5.

Also why the fuck are you posting an imgur link on an image board?

>> No.15751778
File: 60 KB, 1048x952, v math troll 3.png [View same] [iqdb] [saucenao] [google]
15751778

How would you actually solve this without a simulation

>> No.15751794

>>15751778
You wouldn't. Because nowhere in the question does it define what optimally means.

>> No.15751822

>>15751794
minimizing time

>> No.15751880

I'd thank Nilered for reminding me about soap. I lost my smell during COVID and saw his soap videos again during lockdowns (nothing really changed for me), bought some soap because of it. Compound with me already feeling a lot better recently the smells and nostalgia throughout the day make me feel good sometimes in the exact way I need
Even though this isn't the goal. His is to teach the view science, so he would be happy if I started doing experiments with soap soon

>> No.15751887

>>15751778
They have calculations like this on the runescape wiki. Just set the drop rate to be 2% and go for whatever you would need to get for a 100% chance (which isn't really 100), and you can break those trips up into a percentage of the amount of fish you need- maybe like, say 10% of the fish to start with going over that number to make up time for the trip back, because it takes as long to get back as it does to catch 5 minutes worth of fish if that makes sense- then making the trip back more efficient by going over but still allowing yourself to try for the tinture earlier than a 100 percent chance to get lucky maybe. The amount of time you can't make back on the return journey is the real amount of time it would take to catch that many fish times by the amount of trips you'd like to make

>> No.15751893

>>15751778
You could also catch 20 fish, drop them, catch 10 fish, teleport back, give the fish, go back, pick up the fish, catch 10 fish, pick up the fish you dropped before, teleport back, and probably have a 50% chance of getting the fish and a small chance to not have needed the trip back amount of time. That can be manipulated in some way I bet. But you could maybe abuse the system to try and cheese it with these numbers, I don't know, I'm bad at math so I'm probably wrong. I'd probably do this rush strat

>> No.15751905

Black people have a 34% chance of being hypersensitive to opioids. This is interesting for the 30-70 rule, which then is another 30-70 rule divided by 10 and added on, and another 1 percent. The extra 3% of them that are is the most important part although if it didn't exist then 31% would do too. It's important the 3 or 4 percent. But what do you think?
I'm asking for input on the numbers (especially 3% and 1%) as I'm really bad at math

>> No.15751943

Kill yourself

>> No.15751981

>gravity extends to infinity
>gravity falls off with distance
>therefore tidal forces exist everywhere in the universe
Does this mean that inertial reference frames don't exist in reality?

>> No.15751989

>>15751981
You could make that argument. However it doesn't make any difference in what we measure or what we observe.

>> No.15752066 [DELETED] 

Why is phlem and the black bile so closely related
Like in cholangitis

>> No.15752140 [DELETED] 

Because it's all acetylcholine receptors?

>> No.15752150 [DELETED] 

So it's salt for phlem and calcium for black bile (as a generalization)? And you can use calcium citrate for the GI tract mostly I think. If I go ahead thinking this, is it going to turn out to be wrong?

>> No.15752156 [DELETED] 

You guys just sit here and circle jerk about numbers huh
Is this all just s maths board/general?

>> No.15752161 [DELETED] 

>>15751981
>Mental masturbate.me about numbers

Why are you all gay

>> No.15752167

>>15752156
>>15752161
>You will NOT try to understand basic physics.

>> No.15752169 [DELETED] 

Oh sure you replied to that one
Got to defend your mental masturbation sqtlist ad because it's more like
More like stupidtheoryquaks

>> No.15752172 [DELETED] 

>>15751981
And there isn't a reference or whatever because we aren't the center of the universe unlike what you think you are. There are patterns in the universe which show the forces that are there and it proves or disproves what you want here.because the patterns can be referce to any kind of pulling, like gravity. But this is just
>Dude what if gravity.was.like... infinite. LOOOOOL
It's like you chose what to study by thinking of the biggest thing you could, them said "dude, the universe"

>> No.15752177 [DELETED] 

Dude I missed something all of the other experts missed. Let's solve this thing on 4chan, in stupid questions thread. YEAH that'll work. Get a grip
It's for stupid questions not for you to circle jerk some pointless BS (that is pointless because you don't want to go work towards solvimg it but is just an extremely transparent veil over you just wanting to talk about literally nothing)

>> No.15752178 [DELETED] 

Got my answer for why the spit in people's mouths is so often linked with the lining on the inside.of their colon. The only reason you're not a mouthbreather is because you love the smell of your own shit so much with you being up there. You also talk shit

>> No.15752215

>now reference frame the gravity giving birth

>> No.15752252
File: 371 KB, 1080x1060, Screenshot_20230918-020140.png [View same] [iqdb] [saucenao] [google]
15752252

I saw pic related and I don't like that I can't begin to think of a solution. The same feeling goes to every math olympic question I've seen, and so I realize that I don't know jack about math. Only a small bit of the computing aspect (algebra, trig, derivatives and Integration).

My question is: how can I teach myself better math? Should I pick a list like this one https://youtu.be/didXE0HkSC8?si=D8iqR73yxn60Epza or the /sci/ recommendation one?

I'd also like to start learning how to code. Should I start with these books?
>Structure and Interpretation of Computer Programs by Sussman
>The Art of Computer Programming series by Knuth

I know the questions are silly but I'm hoping someone here has more experience and could offer me their opinion.

>> No.15752386

>>15752252
He doesn't know the answer to actual questions anon I don't think he does

>> No.15752460
File: 43 KB, 460x345, IMG_9990.jpg [View same] [iqdb] [saucenao] [google]
15752460

What happens if lightning strikes right when you’re on the bidet?

>> No.15752465
File: 33 KB, 704x701, 1671387899806497.jpg [View same] [iqdb] [saucenao] [google]
15752465

>>15752460
Urgh

Waste of water

>> No.15752476

>>15752252
>Should I start with these books?
Not ordinarily. SICP is possible but usually used in an academic setting where a teacher is around to help explain it. TAOCP is not meant for beginners at all.

My honest recommendation is to pick a programming language—I would go with Python—and begin with whatever Introduction or Tutorial you find on the language’s own website. After you have figured out how to work the compiler and done the exercises, then you can think about the next step… maybe move to a book, but a lot of people just start making little video games or something fun like that, and gain experience that way

>> No.15752478

>>15752465
You can drink it if you like, name-kun

>> No.15752632
File: 57 KB, 527x780, Bogaard 2017 Catalhoyuk botanical data 1.png [View same] [iqdb] [saucenao] [google]
15752632

et's say you have a dataset like pic related, detailing the occurrence of certain cultivated crops over a period spanning 1500 years.

What type of statistical analysis would be the most effective to plot any sort of trends or tendencies? This with the idea of comparing the data with events during that period, which might have led to changes in crop cultivation, which would be apparent in the analysis. Correspondence analysis, principal component analysis, something else?

>> No.15752703

>>15749576
>>15749600
>>15749611
>>15749633
>>15749968
I still need help anons, I put in 15 as the answer and it wasn't correct but I thought it was. My mind feels broken from this.

>> No.15752784

>>15752703
I dunno anon, it looks like 15 to me.

>> No.15752793

>>15752784
Thanks for trying to help anon, that's what I kept getting when I checked aswell but it isn't. I didn't add a - or + either just a 15 and it's still making me redo everything [exam]. Idk if I'll ever graduate this Class, especially at this rate desu.

>> No.15752795

>>15752703
Compute it with a matrix to see.

>> No.15752809
File: 114 KB, 680x521, IMG_1586.png [View same] [iqdb] [saucenao] [google]
15752809

>>15752632
>Site G cereal grain: 6,763
>Site G cereal chaff: 14,981
Kek imagine being the grad student or lab wagie who had to count that shit
>What type of statistical analysis
Before I tried to do something like that I would at least want to satisfy myself that these data have anything to do with each other. What if Site A just belonged to a mustard farmer, and Site B belonged to some nigga who just liked eating beans? You can’t plot those two points on a graph and expect it to mean anything

>> No.15752830

>>15752703
If it ain't 15, then it's -1. It should have been 15, but
good grief...

>> No.15752836

>>15752795
A matrix? What do you mean? It is 15 because 7-(-8)=15.

>> No.15752841

>>15752809
This isn't data from different sites, but different levels/periods of the same site and area though.

>> No.15752873

>>15752830
>then it's -1
Nope, it still isn't and since this is an exam I can't just skip the question if I get confused. I hate this bruh.
>>15752836
It's not 15, unless something is broken idk genuinely.

>> No.15752879

>>15752836
If it's 15 the n why is it incorrect?

>> No.15752883
File: 8 KB, 494x156, 3.png [View same] [iqdb] [saucenao] [google]
15752883

Why this is true? I tried to solve it using u=t/x but in the end I did nothing and appeared an x^2 outside the integral.

>> No.15752884

>>15752873
>>15752830
If the exam is truly broken, inform the teacher and
show some work. It's clearly 15 and it isn't worth
agonizing on it. Okay?

>> No.15752895

>>15752883
Use u=1/t, du=-1/t^2 dt, it's pretty much immediate

>> No.15752901

>>15752883
this is a hard integral to solve totally by hand, it should be in the back of your book as: arctangent

maybe there is some other way of establishing the equality without knowing this though, I havent thought too hard about it

>> No.15753169

>>15752895
>>15752901
Thanks anons :)

>> No.15753174

A flexible cable of length l and mass m hangs over a small pulley. Initially, the cable is at rest, the length of the cable hanging on one side is more than l/2 by x, and the length of the cable hanging on the other side is less than I/2 by xo (see Fig. 5.62). What is the acceleration of the cable as a function of the dis- tance x measured from the position of equal lengths? What is the position of the end of the cable as a function of time? (Hint: The differential equation d2x/dt2 = k

>> No.15753181

>>15753174
How about you post Fig. 5.62?

>> No.15753272

>>15753174
did you at least *try* to solve this question before copy/pasting it here?

>> No.15753540
File: 255 KB, 1024x594, IMG_20230918_233116.jpg [View same] [iqdb] [saucenao] [google]
15753540

How do we solve here ? How can we take component of component mgsincos60 al

>> No.15753752

>>15752460
Nothing.

>> No.15754012

Sorry if its somewhere in the OP its 2AM.

I'd like to request that some of you guys share some good resources on HS level maths. The books i'm working with as of right now don't explain anything. My perfect resource would be one that has examples for every type of a problem that it'll task you with. What i have rn explains the basics to me and then advances in difficulty without providing additional explanations so i just can't learn more than 5% of any given topic.
currently going through circle equations
and yes jannys i'm 18, it is my senior year

all help much appreciated please and thank you :p

>> No.15754051

Will they cancel surgery over a common cold? It's just wisdom teeth

>> No.15754494

>>15754051
Hope not
Dentists aren't surgeons

>> No.15754584

I have arthritis so I need to do maths with a computer
what software do you recommend for this? preferably one thats keyboard orientated as using the mouse hurts more.
I need to write mathematical symbols, generate graphs, etc

>> No.15754607

>>15754584
what level of maths are you doing right now? LaTeX is the standard for turning keyboard inputs into well formatted equations, but could be overkill depending on your use case

>> No.15754621

>>15754607
algebra
can LaTex form, for ex, function graphs?

>> No.15754696

>>15754621
It's not graphing just text formatting. If you're just doing ordinary algebra then it'd be way overkill, basically it's what is used to write equations like this
[math]F(Y_t) - F(Y_0) = \int_0^t F'(s) \mathrm{d}X_s + \frac{1}{2} \int_0^t F''(s) \mathrm{d}\langle X \rangle_s [/math]
on this board (I just copied this from a random thread on here). Microsoft word has a more user friendly equation editor though I don't know if it's designed well for keyboard only.
This website is good for graphing:
https://www.desmos.com/calculator

>> No.15754775

>>15754584
Maybe take a look at Octave. iirc it also has a symbolic package like Matlab to do equations.

>> No.15755115
File: 17 KB, 898x109, dafuck.jpg [View same] [iqdb] [saucenao] [google]
15755115

Is the # just one element like m or what?

>> No.15755380

>>15755115
For the recursive definition, yes. so you have the duplication but that doesn't matters.

>> No.15755413
File: 58 KB, 325x268, Screenshot.png [View same] [iqdb] [saucenao] [google]
15755413

The center of mass is at 3/4 L, right? Assuming that the density of both the rod and disk are constant and equal.

>> No.15755419

>>15752460
Everything.

>> No.15755426

>>15751229
yep, it's true. If f(x) is constant in respect to y, you can just pull it out of the integral

>> No.15755445

>>15755413
>Assuming that the density of both the rod and disk are constant and equal.
the rod has LENGTH density, and the disk has AREA density, so they cannot be equal.

>> No.15755453

>>15755445
I'm treating them as if they are 3d objects. Not sure, what you mean. What'd you take as the center of mass then?

>> No.15755458

>>15755453
>I'm treating them as if they are 3d objects.
then whats the diameter of the rod?
>What'd you take as the center of mass then?
you cant determine the center of mass with the given information, unless you wrote it as a function of like 4 or 5 other variables.

>> No.15755464

>>15755458
>then whats the diameter of the rod?
There's none given. I looked up the solution, it says the disk should be treated as a point mass. Nvm I don't need the center of mass of the composed object, apparently.

>> No.15755539

>>15755413
Equal density doesn't matter. The center of mass of the rod is at its midpoint and the center of mass is at its center, and both have equal masses, so the center of mass of the total system is 3/4 down its length as you said.

>> No.15755547

>>15755458
Don't give bad advice. This is a stupid questions thread, not stupid answers

>> No.15755551

>>15755547
so whats the center of mass of the system?

>> No.15755552

>>15755551
>>15755539

>> No.15755569

>>15755552
oh i see, i didnt get that from the picture

>> No.15755588

>>15755569
Ok my bad for being a dick

>> No.15755594

>>15755588
its ok fren i forgiv u <3

>> No.15755715

I like playing with arbitrary power series in desmos, but they get a bit cantankerous fast
is there a quick/easy way to find (an approximation of) the radius of convergence of an arbitrary power series, so that I can tell when the underlying function is being overpowered by the approximating polynomials?

the only thing I've seen so far is that for a power series
[math]f(x)= \sum_{n=0}^{\infty} c_n (x - a)^n[/math]
then
[math]|z - a| < \lim_{n\to\infty} |\frac{c_n}{c_{n+1}}|[/math]

>> No.15756109

If Euclid's proof of a infinite number of primes is true how come it cannot be used to generate new primes?

>> No.15756305

>>15756109
It will not generate most primes, and in general the values it generates will not necessarily be prime; their prime factors will simply be larger than "the largest prime".
For example, if we consider 13#+1 (wherein # denotes the primorial, i.e. you multiply it by all lesser primes), we get 30031, which is not prime itself, but, rather, is 59 x 509.
If we consider the primorials minus 1 instead of plus 1, which are just as valid as far as Euclid's proof goes, then we run into problems even earlier, as 7#-1 = 209 = (11)(19).

>> No.15756358

>>15756305
> in general the values it generates will not necessarily be prime
Wait ... what?? I thought the entire proof relied on the fact it would generate a prime.

>> No.15756385

>>15756358
No.
The proof relies on the fact that it generates a number not divisible by any prime in your set. That doesn't mean that the generated number itself is prime, just that there are primes you aren't accounting for.

>> No.15756417

>>15756385
Ah. It generates a co-prime. Thanks anon.

>> No.15756487

What the fuck is "Azidoarylation"? Can't find a definition for it online but was looking through the JACS for anything interesting.

>> No.15756583 [DELETED] 
File: 186 KB, 1820x324, Screenshot_20230920_010016_Samsung Notes.jpg [View same] [iqdb] [saucenao] [google]
15756583

Can anyone explain how to evaluate the integral in braces using complex variable integration? Are you supposed to use the residue theorem?

>> No.15756624

https://doi.org/10.1002/prep.202200361

Started skimming through this journal because I was bored. Is there any recommended works on explosives engineering I can look at to understand the more obscure stuff(had no idea what the Gurney equations were until I looked them up, for example) or is it really just "learn orgo and pick up the rest through google as you go along?"

If you're wondering why this specifically, it's because I'm honestly dogshit at Demo TF2 and I'm trying to cope with real-life explosives knowledge. I can handle five shots of vodka at this point without feeling much despite being a twig so I'd say I'm on my way.

>> No.15756630

>>15756624
Found the textbook on the Wikipedia page is written by Paul Cooper. Is it any good, or is there better elsewhere?

>> No.15756822
File: 58 KB, 813x150, Screenshot (257).png [View same] [iqdb] [saucenao] [google]
15756822

Null hypothesis is rejected and research hypothesis is supported right?

>> No.15756868

>>15756487
it looks like it just means the addition of an arene (aromatic benzene-like ring) and an azide (trinitrogen)

>> No.15757141

Does the mg and the reaction "N" that the body oppose is an example of action reaction pair ?


If we say a man on ground is pulling two strings, does that mean the mg and N will cancel out ?
In which type of cases do we cancel MG and Normal recation "N" ?

>> No.15757143
File: 186 KB, 1820x324, Screenshot_20230920_010016_Samsung Notes.jpg [View same] [iqdb] [saucenao] [google]
15757143

Can anyone explain how I'm supposed to evaluate the integral in the braces using complex variable integration? Do I use the residue theorem?

>> No.15757293

>>15757143
Bump

>> No.15757329

>>15757143
>>15757293
What have your tried?

>> No.15757337

>>15757329
Usually I'd expect there to be poles for complex integrals and so I could do a contour integration and use the residue theorem, but it doesn't look like the integrand has any poles. Or does it? Doesn't the exponential function have a pole at infinity and the contour would contain infinity?

>> No.15757350

>>15757337
It's a holomorphic function in the integral.

>> No.15757369
File: 450 KB, 900x1010, 1684363733217.png [View same] [iqdb] [saucenao] [google]
15757369

>>15754584
try emacs, picture related

>> No.15757492

>>15757337
e^(-z^2) doesn't have poles.
It's fairly straightforward to show that the imaginary part is zero (the imaginary part of the integrand is odd and bounded). The real part is essentially e^(-x^2) which has a "closed form" antiderivative in terms of erf(). Or is that what you're being asked to prove?

>> No.15757499

>>15757369
>arthritis
>Emacs
If you change the keybindings sure.

>> No.15757717

Q1A particle is thrown vertically upwards from ground. It takes time t1 to reach a height h. It continues to move and takes time t2 to reach the ground. Its maximum height is?

Q2 A body released from the top of a tower of height h takes time 't' to reach the ground. After time t/2, its height from the ground is


I am getting filtered by these type of questions where answer and question are both in variable, pls help

>> No.15757736

>>15757717
Figured out second one it's 3h/4

>> No.15757781

Can I say that [math]A=\{(x,y)\mid xy=0\}[/math] is not a subspace of [math]\!{R^2}[/math] because it is not a vector? I'm not sure how I'm supposed to check if it's closed under addition if it is a vector

>> No.15757784

>>15757781
It should be [math]\!{R^3}[/math] not [math]\!{R^2}[/math] but I think the same idea applies

>> No.15757790

>>15757781
>>15757784
Fucking ignore these, I'm severely retarded

>> No.15757884

>>15757717
Bump

>> No.15757898

>>15757717
It's best to write formulas to convert it into a math problem. Let x(t) be the distance to the ground at the time t.
The given information tells you that
[eqn]
\ddot x(t) = -g \\
x(t_1) = h \\
x(t_2) = 0
[/eqn]
First you solve the IVP to get
[eqn]x(t) = -\frac{g}{2} (t - t_1)(t - t_2) + h \frac{t - t_2}{t_1 - t_2}[/eqn]
To find the maximum of this you first find the [math]t^*[/math] where the derivative vanishes
[eqn] 0 = \dot x(t^*) = -\frac{g}{2} (2t^* - t_1 - t_2) + \frac{h}{t_1 - t_2} \\
t^* = \frac{t_1 + t_2 + \frac{2h}{g(t_1 - t_2)}}{2} [/eqn]
Now you can just plug this into [math]x(t)[/math] to get the maximum height.

>> No.15757926

Let C and D be categories. Let a, b be objects of C and x, y be objects of D.

Suppose there are morphisms between a and b, but no morphisms between x and y. Does the definition of a functor allow us to define a functor that takes a to x and b to y? I'm thinking not because the functor is supposed to take homsets to homsets, but I'm not sure if I'm missing something here.

>> No.15758075

>>15757898
I am pretty sure this a bit advanced for undergrad ? I am just in first year, can you please elaborate the steps ? Would be great help anon

>> No.15758098

>>15757926
it does not. If F is a functor from C to D and you have a morphism f from a to b, there has to be a morphism Ff from Fa to Fb.

>> No.15758137

>>15757898
{g(T1+T2)2}/8 is given as the final answer. I am not able to process through the steps here

>> No.15758143

>>15758137
{g(T1+T2)^2}/8
**

>> No.15758176

Whats the name of the measurement of how far reaching a magnetic field is?

>> No.15758198

>>15758176
magnetic fields are theoretically infinite

>> No.15758209

>>15758198
Well whats the measurement for say a magnet's effective range?

>> No.15758212

>>15758143
If this is the answer then here is a way to get this.

By conservation of energy
[eqn]mgh_{\text{max}} = \frac{1}{2} m v_{\text{initial}}^2 = \frac{1}{2} m v_{\text{end}}^2[/eqn]
So clearly the start and end velocity is the same just with opposite direction. The rate at which is changes is g and the total time it's in the air is [math]t_1 + t_2[/math].
So
[math]2 v_{\text{initial}} = g(t_1 + t_2)[/math] plug this in the equation above to get
[eqn]h_{\text{max}} = \frac{g (t_1 + t_2)^2}{8} [/eqn]

>> No.15758226
File: 8 KB, 333x84, WhatsApp Image 2023-09-20 at 23.44.06.jpg [View same] [iqdb] [saucenao] [google]
15758226

Can someone explain this? How did they get theta = -90 after dividing by zero?

>> No.15758258

>>15758226
well, don't go hush-hush now. I've been told that you can't divide by zero since I was a kid. Either my answer sheet is wrong, or I've been lied to. Is math a psyop specifically to make me feel dumb.

>> No.15758282

>>15758226
>>15758258
The main reason division by 0 can't be said to have a value, even "infinity", is because it changes depending upon which side you approach from. If you consider 6/x, letting x=1, and then decrease the value of x, it shoots to infinitely high positive numbers. If you consider it starting from x=-1 instead, then it shoots to infinitely low negative numbers. Since there isn't a consistent answer, we usually say the value is undefined.
Tangent is, thus, undefined at every multiple of 90 degrees, since it would output both positive and negative infinity. But this also means that we can say that arctangent, as its inverse, returns some multiple of 90 degrees at any infinite value.
What that multiple is, however, is usually difficult to say from just numbers alone, and often requires considering some graphical representation of the question you're thinking about

>> No.15758289

>>15758282
>inverse of infinity is -90
Thanks math

>> No.15758295

>>15758258
you can divide by zero, but the result cant be a member of a field. sometimes this is important, sometimes not really.

>> No.15758299

>>15758289
It's not that -90 is the inverse of infinity, it's that -90 is the value of the inverse of the tangent function at infinity.
also, should amend my earlier statements a bit to make them clearer.
Tangent is only undefined at "odd multiples" of 90 degrees (e.g. 90, 270, -90, but not 0 or 180).
In those specific cases, because arctangent is traditionally defined on a single segment, we can consider only the limits of that segment, in which case 90 degrees is pretty easily set to correspond to +inf and -90 to -inf

>> No.15758307

A particle is thrown vertically upward with Velocity u, such that it travels 5m in the last second. Find the highest point


My try - the velocity just before entering this 5m path = u(1) -5(1)2
U = 10m/s2

Now ?

>> No.15758310

>>15757143
It's easy. You if you set omega = 0 you know the quantity in brackets is 1.

If omega is non-zero you are just integrating
f(z)=exp^{-z^2/2\tau^2}
over a contour J that is a shifted real axis. But f(z) has no poles, so you can make a big closed loop going along the real axis from -R to +R, shifting in the imaginary direction at +-R, and then coming back along J. The shifted parts go to zero as R goes to infinity, so the quantity in brackets is the same as the quantity integrated along the real axis, which is 1.

>> No.15758313

>>15758307
*The distance of path travelled

>> No.15758417

>>15758282
>>15758295
is there a way I can get this with a calculator?
I get a math error when I enter tan^(-1) (-6/0). I only have to worry about tan^(-1) operations having division by 0.

>> No.15758423

>>15758417
i think maybe you just need to take a bit more time to really understand what a phasor is.

>> No.15758439
File: 423 KB, 1440x944, Screenshot_20230920-114015_Read Chan.jpg [View same] [iqdb] [saucenao] [google]
15758439

>>15753540
first, find this guy. Second, pay me five dollars

>> No.15758454

>>15758417
Use this
https://en.wikipedia.org/wiki/Atan2

>> No.15758489
File: 720 KB, 1440x2390, Screenshot_20230920-115141_EBookDroid.jpg [View same] [iqdb] [saucenao] [google]
15758489

>>15758417
its true that computers will do most of the math for you, meaning its important to understand what you are asking the computer to do

>> No.15758541

∀x ∈ R ∀y ∈ R, xy = 1 => x**2 * y > x.
is the negation of this ∃x ∈ R ∃y ∈ R, xy = 1 and x**2*y ≤ x.?
If a => b = -a or b then the negation this is a and -b, but both sentences seem to be true since in the first formula xy=1 is false so the implication is true and in the second when y=1/x the conjunction is also true, so ai dont get what I did wrong.

>> No.15758581

And how much it costs to build a quantum computer.

>> No.15758705
File: 111 KB, 1201x657, Capture.png [View same] [iqdb] [saucenao] [google]
15758705

I'm hoping an anon with optics knowledge will see this. I'm learning about fluorescence excitation and emission spectra and came across this video
https://www.youtube.com/watch?v=oVxpaUfTuXI

They point out that the wavelength of excitation only changes the intensity of the emission spectrum of a fluorophore, not the shape. They have an animation that shows this at 1:30. But the overlap between emission and excitation spectra is confusing me. The animation seems to imply that a fluorophore can emit photons with a shorter wavelength than the excitation wavelength (see 1:40 and pic related). Doesn't this violate conservation of energy? I would have expected the emission wavelength to always be longer, and thus lower energy than the excitation wavelengths.

>> No.15758719

>>15758705
But the pic doesn't show that. It shows emissions at a longer wavelength, and so less energy, than the original excitation. Which is exactly what you would expect with fluorescence.

>> No.15758734
File: 101 KB, 1201x657, Capture.png [View same] [iqdb] [saucenao] [google]
15758734

>>15758719
The wavelengths I've circled in green are shorter than the excitation wavelength of approx. 600 nm are they not?

>> No.15758747

>>15758734
And they are longer than all the excitations on the left of the graph - which is also where the peak number of events is.

>> No.15758754

>>15758747
The animation is for excitation at one specific wavelength, which is what the dashed line is showing. There is no other excitation wavelength other than 600 nm at that moment in the animation.

>> No.15758778
File: 164 KB, 922x461, excitation.png [View same] [iqdb] [saucenao] [google]
15758778

>>15758754
I think the animation is misleading, the line is where a peak of a differing wavelength is. It's a distribution, not an excitation of a fixed wavelength. As you say it would not make much sense otherwise.

>> No.15758848

>>15758581
Few million

>> No.15759006

>>15748681
I'm freaking out. I have no idea what to do after I finish my last year of my math degree. But there is no opportunities after a BS in math, I'm actually in a worse position because of all my debt.
YOU FUCKERS SAID 300K STARTING!!!
PLEASE HELP ME I DON'T KNOW WHAT'S NEXT
t. 4th year math student

>> No.15759034

Need a little help with this diff equation: [eqn]y''+5y'+4y=2x'(t-2), \quad y'(0)=0, \quad y(0)=0, \quad \text{where} \quad x(t)=e^{-t}u(t)+2.[/eqn] What am I supposed to do with the [math]x'(t-2)[/math]? I tried to actually differentiate the given x and work with it, but I think I'm doing it wrong because I just can't get the right answer. I'd appreciate any hints.

>> No.15759055
File: 51 KB, 540x540, 1607247248114.jpg [View same] [iqdb] [saucenao] [google]
15759055

>>15759006
please help, has anyone dealt with this before? I feel for the 300k starting meme.

>> No.15759095
File: 37 KB, 230x230, stupid.jpg [View same] [iqdb] [saucenao] [google]
15759095

>>15759006
> believes a meme

>> No.15759112

>>15759095
It made sense to me
>do hard things
>get paid well to do hard thing

>> No.15759146

>>15759112
As a general rule that is true, just not 300k starting true. Anyone with a modicum of common sense would know that.

>> No.15759217
File: 175 KB, 1060x628, agdfh.png [View same] [iqdb] [saucenao] [google]
15759217

For the purposes of establishing stationarity in a time series, does an Augmented Dickey Fuller test with a super low p-value prove that my time series has a constant (enough) variance over time?

pic related is my time series. It looks stationary to me, but I'd like to establish that more rigorously than just eyeballing it.
adf test p_value is 0.00000084. 5% level of significance.

>> No.15759284

>>15759006
this is why you don't send literal children to college
working at a gas pump for two years minimum needs to be a prereq for admission

>> No.15759560

>>15759006
Go do an internship or two retard, nobody actually cares what your degree title is. Freshen the fuck up, put on a smile and go to your university's career fair. Learn to code and give presentations. Maybe take some data or finance classes. Alternatively become a postgrad student to postpone your life failure by another 2-5 years.
>>15759055
sorry honeybuns but 300k starting is for phd's only (smarties)

>> No.15759575

>>15759560
to be more precise, phd's who end up working as quants.

>> No.15759597

>>15758209
not that anon, but there's no name for this. you'd have to define where the magnetic field becomes low enough for your criteria, say 1 Tesla, and call it something like "1 Tesla distance"

>> No.15759750

>>15759560
is it possible to go to a phd program as a bachelor in math?

>> No.15760086

Can anyone link me "Synthetically glycosylated antigens for the antigen-specific suppression of established immune responses"

It's not on sci-hub

>> No.15760139
File: 40 KB, 342x298, 1468605165196.jpg [View same] [iqdb] [saucenao] [google]
15760139

How do I calculate how many stocks to buy of each holding if I want to keep the same size positions relative to each other but add more money to my portfolio?

I know I am just over thinking this.

>> No.15760301

Hello, I don't understand this question, it's in another language so I might not translate it well:

Find conditions on [math]\vec{b}\in\!{R^4}[/math] for it to span
span[math]\left\{\begin{bmatrix} 1 \\ 2 \\ 3 \\ 4 \end{bmatrix},\begin{bmatrix} 1 \\ -1 \\ 1 \\ -1 \end{bmatrix},\begin{bmatrix} 0 \\ 1 \\ 0 \\ 1 \end{bmatrix}\right\}[/math]
(Note: the answer is basically a homogeneous linear system of equations in the coordinates of [math]\vec{b}[/math] that describes the span as a solution set.)

A possible answer in the answer sheet was [math]b_1-b_2-b_3+b_4=0[/math]
I tried to solve for xyzw, I tried to solve for b, but I don't think that's how to do it.

>> No.15760362

>>15760301
I think it's asking for conditions for that vector to be inside that span which is equivalent to the condition

[eqn] \det \begin{pmatrix} 1 & 1 & 0 & b_1 \\
2 & -1 & 1 & b_2 \\
3 & 1 & 0 & b_3 \\
4 & -1 & 1 & b_4 \end{pmatrix} = 0[/eqn]
Just calculate the determinant with the Laplace expansion and you get the solution.

>> No.15760369

Sue left her house and began walking at 6 km/h toward Sandy's house. Fifteen minetes later, Sandy left her home and walked at 8 km/h toward Sue's house. If Sue lives 5 km from Sandy, at what tme did they meet? Who walked farther?

My try - let distance traveled by Sue be x, speed = 6km/he

Time = X/6

Distance traveled by sandy is less than 5km because sandy already walked some distance

Time = X-5/8

Now ? How to find time next ?

>> No.15760374

>>15760369
Also mentioned that she left here house at 1:00 PM

>> No.15760377

>>15760369
Edit the time sandy is 5-x/8

>> No.15760499

>>15760362
Following your instructions lead me to the correct answer, thank you. Would you mind explaining how this solution gives the correct answer? How does the determinant relate to finding a solution to a span? Thanks.

>> No.15760627

What would the time necessary for an x-ray with the frequency of 3x10^18Hz traverse 1mm and 1cm respectively?

>> No.15760645

>>15760369
you need to think of distances to find the appropriate time
what I'd recommend is to consider the moment they are both on the move (that is after 15 minutes) then calculate at which time they intersect based on the distance they travel, then add to that time the 15 minutes and you have your solution
keep in mind that Sue has walked some distance during those 15 minutes, so when they are both walking they are no longer 5km apart

>> No.15760742

>>15760627
Try asking yourself what speed does any electromagnetic radiation travel at.

>> No.15760812

>>15760742
Well the speed is 3x10^8, isn't it? but the issue is that i don't exactly know how to calculate how much time it takes for it to traverse 1mm and 1cm

I mean, it *is* a stupid question.

>> No.15760821

>>15760812
well, speed is measured in [math]\frac{m}{s}[/math], and distance is [math]m[/math]. how could we combine them so you ended up with just [math]s[/math]?

>> No.15760844
File: 2 KB, 317x137, godhelpme.png [View same] [iqdb] [saucenao] [google]
15760844

Certifiably Low IQ retard here,
How do I go about finding the derivative of this function? Section is titled product rule. Need to complete this for a supplementation course. As long as I get the step by step on one problem I'll be good for the rest of it. I think

>> No.15760871

>>15760821
That would be like...0,03 nanoseconds? And what does the frequency have to do with it?

>> No.15760877

>>15760844
its product rule
[math] f'(x)g'(x) = f(x)g'(x) + f'(x)g(x) [/math]
note that one of the functions is [math]e^{2x}[/math] so you have to do chain rule on that one. if youre struggling, it might help to write out [math]f(x) = e^{2x}, \; g(x) = x^2 [/math] and find their derivatives first before pluggin them into product rule.
>>15760871
>That would be like...0,03 nanoseconds?
maybe, i didnt do the math. do you mind showing your work?
>And what does the frequency have to do with it?
if this is in a vacuum then frequency has nothing to do with propagation speed.

>> No.15760887

>>15760877
>>15760844
whoops, messed that up
[math] \displaystyle
\frac{d}{dx} \left( f(x)g(x) \right) = f(x)g'(x) + f'(x)g(x)
[/math]

>> No.15760901

>>15760877
>maybe, i didnt do the math. do you mind showing your work?
That's what i get when i throw it on a calculator.

>> No.15760903

>>15760901
my brother in christ, what did you type into the calculator?

>> No.15760919

>>15760903
Well it's m/s right? Distance is M. And time is distance / speed. So it's 0,01/3e+8, which is 3e-11

>> No.15760926

>>15760919
>And time is distance / speed.
this is the part i was looking for, you seemed to not quite understand how to calculate time given speed and distance. good work.

>> No.15761187

>>15760139
are you the same anon from like 6 weeks ago who was asking about adding money to stock portfolios?

>> No.15761210
File: 633 KB, 1370x2615, Screenshot_20230921-124214_EBookDroid.jpg [View same] [iqdb] [saucenao] [google]
15761210

>>15760844
heres a cool visual/intuitive proof of product rule to help remember. Basically, imagine F and G are lengths of sides of a rectangle, so that FG is the area, then ask 'if I advance through x a tiny amount, so that F and G change by some tiny yet related amounts, how much does the area of the rectangle change?' If you acquire the intuition, then extending the product rule to a 3d box of volume FGH is easy, and to any n-dimensional box too, even going the other way to a 1d line with length F.

>> No.15761225

I have a framed original print from 1940 of a nice pic of my university (that means: it was printed in 1940, from an original photo taken in 1927). I keep it on my desk and I like looking at it while studying or doing my stuff. My friends say this is very weird and cringe, is it?

>> No.15761295

>>15761225
do you work/study at said university, and is your desk located at the university? if no, then yea its a bit cringe.

>> No.15762027

I only started reading a biology textbook today so maybe I shouldn't even bother asking this question yet, but well, a certain aspect of mutation is confusing me.

All cells in our body have their own DNA. So why would a single cell's copy of DNA mutating be detrimental?

Let's use cancer as an example of mutation. Does cancer begin with a single cell mutating and then dividing into two cancerous cells (ad infinitum)?

I'm so new to biology that I can't even gauge how stupid of a question this is

>> No.15762046

>>15762027
> Does cancer begin with a single cell mutating and then dividing into two cancerous cells (ad infinitum)?
Yes, cancer cells do not die and so mitosis occurs infinitely.

>> No.15762190

An engine of the train moving with uniform acceleration passes an electric pole with velocity u and the last compartment with velocity v. Prove that the middle point of the train passes past the same pole with the velocity of √{(u^2 + v^2)\2}

The first compartment -
v^2 = u^2 + 2a(length of train)

Middle point
Vm^2 = unot^2 + 2a(half length of train)
What to do next ? Stuck on this question

>> No.15762263

If you have a series of samples of a temperature sensor that rises and becomes mostly flat (with some variance), how do you calculate the temperature at which it's flat? It's not the peak temperature, it's slightly lower.

>> No.15762346

>>15761295
Well yes of course I study there but I'd keep it even if I was an alumni. My desk is at my home

>> No.15762350

>>15762190
Bump, try 2
Vnot = velocity of of front compartment
V = velocity of middle ?

Now ?

>> No.15762452

Explain math to me without using numbers or stupid examples. You can't - there's no need for maths
Explain math using logic gates or on a calculator

>> No.15762512

Therefore numbers are not real

>> No.15762590

Please post your favourite or most memorable pharma commercials YouTube videos, please

>> No.15762702

A potential is always based on a conservative force, right? So, there is no such thing as a "non conservative" potential?

>> No.15762918

Consider [eqn]\ddot f \cdot f^3 = C,[/eqn]where [math]C[/math] is a constant of your choice. How'd you solve this? Is this just a standard case for separation of variables or can you solve this in another way?

>> No.15762951

>>15762190
Bump, taking a = v2-u2/aL ?

>> No.15762955

>>15762190
[math] \displaystyle
v(t_0) = u \; , \; \; \; \; v(t_1) = v \; \\
WLOG \; \; \; t_0 = 0 \\
v(t) = \frac{v-u}{t_1}t + u
[/math]
[eqn]
x(t) = \int v(t) dt = \int \frac{v-u}{t_1}t + u \; dt = \frac{v-u}{2t_1}t^2 + ut + x_0
[/eqn]
we'll consider [math]x[/math] here to be the length of train that has passed the telephone pole. notice how since [math]t_0=0\; , \; \; x_0=0[/math]. additionally, plugging in [math]t_1[/math] give us the total length of the train.
[math] \displaystyle
x(t_1) = \frac{v-u}{2t_1}t_1^2 + ut_1 = \frac{v-u}{2}t_1 + ut_1 = \frac{v+u}{2}t_1
[/math]
so the middle car is at
[math] \displaystyle
x_{m} = \frac{v+u}{4}t_1
[/math]
setting the expression we found for [math]x(t)[/math] to that and solving for [math]t[/math] gives us
[math] \displaystyle
\frac{v-u}{2t_1}t^2 + ut - \frac{v+u}{4}t_1 = 0 \\
t_m = \frac{t_1(-u + \sqrt{\frac{v^2+u^2}{2}})}{v - u}
[/math]
finally, plugging that back into [math]v(t)[/math],
[math] \displaystyle
v_m = \sqrt{\frac{v^2+u^2}{2}}
[/math]
there are definitely easier ways to do this, basically if you draw [math]v(t)[/math], you have a triangle (or trapezoid), and the area underneath represents how far the train has moved, so youre looking for a [math]t=t_m[/math] vertical line that divides the graph into two separate parts. and if you just so happen to know that that its the geometric mean of the two endpoints, then you get to skip all the calculus.
>>15762702
yea

>> No.15762960

>>15762955
>geometric mean
excuse me, root mean square
https://en.wikipedia.org/wiki/Root_mean_square

>> No.15762975
File: 87 KB, 972x1200, 108.jpg [View same] [iqdb] [saucenao] [google]
15762975

Is the probability of something happening always 100% due to determinism? If we had complete information on how every particle moves in the atmosphere could we predict weather with 100% accuracy?

>> No.15763018

>>15762975
I think that's impossible, because you can't be 100% sure of all quantities. For example, you can't be 100% sure of both the momentum and place of an electron at the same time.

>> No.15763090

>>15762975
that's what determinism means, yes.

>> No.15763418

>>15761187
I have no idea. Maybe.
Just a dumbass who would would rather stay high and not face the world.

>> No.15763840

>>15762955
Is their a non-calculus solution possible ?

>> No.15763843
File: 30 KB, 408x408, 1641409280204.jpg [View same] [iqdb] [saucenao] [google]
15763843

>>15748681
is there a sadghuru video on advice on what to do when you are selectively picked and groomed by CIA agents for the purpose of mkultra. assuming said CIA agents know you deeply and what/how to set you off. is there a hotline number for this that doesn't end in a psychatric hospital or being served anti-psychotics?

>> No.15763881

>>15763843
clean it up russia.

https://archive.4plebs.org/_/search/tripcode/%21BerzSNiQ.I%20/

>> No.15764052

>>15748681
apologies if this isn't the right thread or the question is too stupid but i have to know if a dog whistle (the type humans can't hear) is still noticed by the brain and can thus be used as a conditioned stimulus. if not, what is something that can avoid conscious notice but still be picked up?

>> No.15764195

>>15764052
Such a frequency is not detected by your inner ear and so does not generate an electrical signal to the brain, so it cannot have any effect conscious or unconsciously. However that does not seem to be the case for extremely low frequency sounds. The frequencies are too low to hear but under the right conditions they do seem have a negative effect on the tissue of the human body.

>> No.15764783

Theory:
Tissues don't actually die when their cells' telomeres run out. The body is smart enough to reactive telomerase to extend the tissue's lifespan.
Unfortunately, this has the side effect of drastically raising the chance of getting cancer.

Is this accurate? Is there any evidence supporting this in the literature?

>> No.15764788

https://www.sciencedaily.com/releases/2016/02/160225101103.htm
It's a good day for science today!!

>> No.15764793

>>15764783
Well I'm not good.at this yet but
The cells which do this for our skin have to divide to make new skin. Eventually they become too small to do this - old age. Also, cancer is made (loads of it) because our cells divide and replicate, millions(?) Of times per.day, or hour, even. Cancer occurs because it isn't perfect and sometimes the mistakes in cell copying can be cancerous. So I guess.it could be a cancer.if you want

>> No.15764805

>>15764783
Well, my theory is that cancer is anti matter. It's like if one cell was a hydrogen, then cancer would be anti-hydrogen. Maybe when enough time has passed we'll know absolutely everything about cancer (and that it could be anti matter being created inside.of us) and that the current way of thinking was wrong or misguided. Maybe when the time has passed, in that future present the cancers will be as understood as we know the organs and stuff
Maybe that will allow us to make a fully cancerous person, alive, and they would.function differently like cancer does while still being our cells- whether it's.anti people or a byproduct of (or way to) make new skin - novagenesis!

>> No.15764932

>>15764195
thanks. do you have any suggestions for subliminal CS?

>> No.15764966
File: 960 KB, 2400x1080, Screenshot_2023-09-23-11-49-22-121_org.coursera.android.jpg [View same] [iqdb] [saucenao] [google]
15764966

>>15748681
What is the "rigging angle"? I have 0 knowledge of physics.

>> No.15764970
File: 108 KB, 1080x660, 1677100534374788.jpg [View same] [iqdb] [saucenao] [google]
15764970

>>15764966
angle of incidence in this pic

>> No.15764971

>>15764970
Thanks understood.

>> No.15764977

Why did humans discover motors and electronics before discovering how to manipulate muscles and brains?

>> No.15764993

I'm not able to recognize objects or read facial expressions when both my eyes are open. In order to watch TV or read a book I need to close my left eye.
I also can't "zoom in" on objects when both my eyes are open. This shit ain't normal I don't think. What possible conditions could I have?

>> No.15764994

Has anyone ever got brain cells to encrypt data in a lab?

>> No.15765015

>>15764977
physical training and trance inducing rituals have existed since before motors and electronics.

>> No.15765025

>>15763840
>Non-calculus
>In a problem involving velocities and acceleration
Bro, velocity and acceleration are defined as rates of changes meaning Calculus. Beside this, this board is 18+ and literally everyone should have learned Calculus in high school before they turned 18.

>> No.15765192

>>15749257
Green provided you just jump right up into the air, because the instantaneous velocity is rectangular to the radius.

However, if you jumped in a direction not on the path to green, you'd go somewhere else, of course. But this case is also easy to calculate. Just add up the two velocity vectors (the one of your jump and the one rectangular to the radius) and add them up, then you'll get the direction. The length of the jump can then be calculated by determining the time of the flight (use the height of the carousel and the gravitational force for this) and the absolute value of the velocity vector you calculated.

>> No.15765215

>>15762918
[eqn]\begin{align*}
\ddot f &= \frac{C}{f^{3}} &\iff\\
\ddot f &= -\frac{d}{df} \frac{C}{f^{2}} &\iff\\
2 \ddot f \dot f &= -\frac{df}{dt} \frac{d}{df} \frac{C}{f^{2}} &\iff\\
\frac{d}{dt} \dot f^{2} &= -\frac{d}{dt} \frac{C}{f^{2}} &\iff\\
\dot f^{2} &= C' - \frac{C}{f^{2}} &\iff\\
\dot f &= \sqrt{C' - \frac{C}{f^{2}}} &\iff\\
\frac{df}{dt} &= \sqrt{C' - \frac{C}{f^{2}}} &\iff\\
t - t_{0} &= \int \frac{df}{\sqrt{C' - \frac{C}{f^{2}}}} &\iff\\
t - t_{0} &= \frac{\sqrt{C - \frac{1}{f^{2}}}}{C} \cdot f + C'
\end{align*}[/eqn]Unsure if the last step is correct.

>> No.15765308
File: 1.14 MB, 2356x3100, IMG_9215.jpg [View same] [iqdb] [saucenao] [google]
15765308

Saw this at the gym, there's a lateral pulldown machine where the seat is connected to the pulldown bar so when you pull down, you're lifting yourself up at the same time.
So the plates have their individual weights but the actual weight that's pulled down is the value on the side. But this is based on a 150 lb. user, so can anyone figure out the formula here so I can get a better idea of what I'm lifting?

>> No.15765413

/mat/ is of no use
what are these in the context of spaces for solutions of pdes
[mat]H_{\#}^{p}, L_{#}^p [/mat]

>> No.15765418 [DELETED] 

>>15765413
[mat] H_{\#}^p, L_{\#}^p [/mat]

>> No.15765421

>>15765418
[math] H_{\#}^p, L_{\#}^p [/math]

>> No.15765454

>>15765308
number on machine - 150 + your weight

>> No.15765524
File: 15 KB, 659x232, file.png [View same] [iqdb] [saucenao] [google]
15765524

Hello, what are these ends at [math]U_ut[/math] supposed to be? I know there's a battery and two LED's but why are there two random branches going into two dots?

>> No.15765540

>>15765524
[math]U_{ut}[/math] being the voltage

>> No.15765833

>>15748681
if [math] X_{n}=\frac{2n^2+1}{4n+3}=∞ [/math], how do we know that if Yn<Xn that it is bigger than E? I know that if Yn is >E we can implicate that Xn is >E, but I don't get how we can imply that Yn is necessarily bigger than E, maybe it is smaller.

>> No.15765929

Why the hell are neodymium magnets so physically weak?
I bought some and chipped one of em within the first 4 hours if having em

>> No.15765958

Is albino skin tone white like a sheet of paper or as pale as you can be without being a sheet of paper?

(mind you you cannot take into account sun damage or a flushed face, only an unburnt albino at a resting state)

>> No.15765978
File: 119 KB, 750x598, 1695022129376580.jpg [View same] [iqdb] [saucenao] [google]
15765978

What's the best/quickest way to prepare for Cal 1?

>> No.15766000

>>15765958
Nvm i figured it out

>> No.15766077

>>15765978
Buy a book, go through it and do the exercises. That's what I did and it paid off. Depending on your foreknowledge and dedication, you can do it 2 to 6 months.

>> No.15766166

How can I prove this using IBP? I used u=f^-1(x) and dv=dx but I don't know how to pass from the x term with the derivative of the inverse function to the f(y)

>> No.15766173

>>15765978
You mean calc 1, idiot?
First of all, don't fucking bother. It's a fucking waste of time and totally retarded. I can fit all of calc 1 on one piece of paper. The only thing you need is context: derivatives: change, integrals: area
then start studying analysis if you actually want to know calculus. Calculus is for fucking slaves.
I'll tell you this, I spent a year learning calc1-3 and vector calc, total waste of fucking time.
Universities should be ashamed they teach this shit. They should also teach how to add big numbers by hand too because it's almost as if computers don't exist.

>> No.15766174
File: 15 KB, 894x192, 4.png [View same] [iqdb] [saucenao] [google]
15766174

>>15766166
This is the equation.

>> No.15766180

>>15765978
Calc 1 is usually shit until you know calc 3 and differential equations.

>> No.15766221

>>15766166
>>15766174
consider [math]x=f(y)[/math]
[eqn]\int f^{-1}(x){\rm d}x = \int f^{-1}(f(y)){\rm d}f(y)=\int y{\rm d}f(y)[/eqn]
with IBP
[eqn]\int y{\rm d}f(y) = yf(y) - \int f(y)dy
[/eqn]
therefore
[eqn]\int f^{-1}(x){\rm d}x = yf(y) - \int f(y)dy \\
\int f^{-1}(x){\rm d}x = xf^{-1}(x) - \int f(y)dy[/eqn]

>> No.15766275

>>15766221
Thanks so much anon :)

>> No.15766289

Will doing heroine make me an absurd hero?

>> No.15766307

>>15766173
I know it's a fucking waste but I need for a major.

>> No.15766316

>>15766077
>>15766173
>>15766180
I meant to ask for some Youtube recommendations. Like any certain professors and stuff..

>> No.15766432
File: 2.24 MB, 3024x4032, PXL_20230924_000739143.jpg [View same] [iqdb] [saucenao] [google]
15766432

Why is my graph wrong?

>> No.15766441

>>15766432
absolutely no clue where you go the shape of the graph to begin with but I'm not going to question it
But the proper way to graph is basically just to input a value for x and see what that returns for y, and to mark that point down, and to just... keep doing that.
so, for example, x=0 will return y=-2(0)+3/2=3/2, so (0,1.5) should be a point on your graph. similarly, x=1 gives y=-0.5 and x=-1 gives y=3.5, so (1,-0.5) and (-1,3.5) should be on the graph, too

>> No.15766446
File: 2.08 MB, 1920x1080, sea.png [View same] [iqdb] [saucenao] [google]
15766446

>>15748681
im going to ask my monthly retarded question here

lets say i park my car on an incline but the front of the car is facing perpendicular to the incline and the front of passenger door is facing the incline.

I open the passenger door but then it closes almost immediately after i let go of the door.
what force is the door experiencing which is causing the door to close? there is no wind

>> No.15766465

>>15748681
Why is it so easy to spot deterministic automata walking among us? For example, if you try to explain to an NPC that you have experiences (i.e., qualia, which directly implies a soul), they'll get anally frustrated with you and start to piss and moan about being a lower life form. Humanbros, why is the future here and why is it so gay? I thought androids would be difficult to spot but no.

>> No.15766473

>>15766446
Your door hinge restricts movement of the door depending on the angle theta between x and y. Gravity pulls in the direction of -y, so the reason why your door closes is because it includes some component y by which it is allowed to travel along some vector.

>> No.15766481

>>15766473
that makes sense. thanks

>> No.15766497

>>15766316
retard

>> No.15766498

>>15752252

starting with the bare basics is good, then you can rapidly move on to harder and harder problems. i found a website called pyflo that's a great intro to Python if you've never coded before, or are unfamiliar with the language. then download an IDE and try to make something that applies to something you actually enjoy. the best learning happens there.

math and programming skills go hand in hand so i'd recommend the art of problem solving books. they're great at teaching and will help you develop powerful problem solving abilities that will apply to several coding problems too. best of luck anon

>> No.15766562

>>15751778
Think I figured it out partly.

Time spent is minutes T = n/3 + 5X where X is a RV, geometrically distributed, [with support including 0, if successful 1st time it'd just be n/3 time spent fishing] with parameter p=1-.98^n. Since success would just be one successful trade per meeting I assume, and n is number of fish caught per trip. If dynamic then not sure how to approach problem desu.

Idk what you want to minimize, the average or median time spent maybe but I'm sure you can figure out whatever with that.

>> No.15766592
File: 2.47 MB, 3024x4032, PXL_20230924_024514821.jpg [View same] [iqdb] [saucenao] [google]
15766592

>>15766441
I followed the same principle as my last example. Turned it into slope-intercept form and graphed it. This one is correct BTW.

>> No.15766593
File: 2.76 MB, 3024x4032, PXL_20230924_024521372.jpg [View same] [iqdb] [saucenao] [google]
15766593

>>15766592
Here's the graph.

>> No.15766616

>>15766465
Hey man, even if I'm a retarded npc that gives you no right to call me a retarded npc.

The future never comes.

>> No.15766627

>>15766465
lmao this guy got butt blasted because the he thinks limitations of language implies souls

>> No.15766653

>>15766593
You don't have to input a new output since the ordered pair is already defined by the function relating the change in values

>> No.15766668

>>15751778

Nice problem! The answer is 34.12, and we'll see the best choice is 34 fish. You can solve this without a simulation using recursion, it's actually quite simple:

Let E be the expected value of the amount of time it takes to get 1 tincture, given that you have captured n fish. We want to choose some n that minimizes E.

Let p = (.98)^n be the probability that NO fish gets traded (for any single given visit to the merchant).

Then q = 1 - p is the probability that at least 1 fish gets traded.

Now we apply recursion using expected values.

1) It takes n/3 minutes to get n fish, and when we decide to go to the trader, we have probability of p to get nothing, and q to get a tincture and end the game.
2) If we get nothing, now we have to start over (meaning we will need another E minutes), but we add another 5 minutes to walk back.
3) If we get a tincture, we end the game, so we add 0 minutes and end.

Thus, E = n/3 + p*(E+5) + q*0

The q term goes away. Solving for E in terms of n, we have:

E = [n/3 + 5*(.98)^n] / [1 - (.98)^n]

You can use derivatives, but the math is quite ugly. So put it in desmos to see that the min value (over positive n values) is 34.12, and E(34) < E(35). So 34 fish is optimal, with an expected time of about 28 minutes before Elinor gets her tincture.

WTF is a tincture?

>> No.15766670

>>15751778
why's elinor such a baddie wtf

>> No.15766886

>>15765524
It's a battery and two resistors. The circles on the right are terminals.

>> No.15766925

>>15766473
hmm kinda related but if im waking up an incline that means im actually doing work against gravity right?

so that means i will get less tired if i climb an incline on mars

>> No.15766935

>>15766925
Correct.

>> No.15766942

>>15760086
did you still need it?

>> No.15766944

>>15766627
Are you disabled?

>> No.15766954
File: 539 KB, 1040x1000, TableGif.gif [View same] [iqdb] [saucenao] [google]
15766954

Wat do? I have developed a data visualization scheme that allows factorization of any number (and primes,) without any computation. I call it a Radix Table. The math is a little over my head but it seems to be able to locate the primes quite easily. Some numbers are skipped in the Gif, it's just for key reference.

>> No.15766962

>>15766954
You have discovered sieves. Well done. Your's looks like a variation of the sieve of Eratosthenes discovered in 250 BC.

>> No.15767294

can modern science predict a solar flare

>> No.15767299

>>15767294
No. We can predict peaks in frequency during the solar cycle but not individual flares.

>> No.15767307
File: 927 KB, 2016x1134, 1695559946266.jpg [View same] [iqdb] [saucenao] [google]
15767307

Why can I write the kinetic energy as CM + their movement around it?
And why should T' in bottom of the pic not have the fraction with themasses squared? (CFP chapter 3 in goldsteins mechanics)

>> No.15767341

>>15767307
Q1) Because the first term is the translational kinetic energy and the second term the rotational. This works because the reference frame used is that of the center of mass.

Q2) Because if you do the substitution mentioned terms cancel leaving you with the final equation for T'.

>> No.15767376

>>15767307
First question:
Because you're in a center of mass system, you can decompose the sum of the kinetic energy into the kinetic energy of the center of mass and into the kinetic energy of the point masses in the center of mass system. I think, the latter is what the author means by "the motion about the center of mass".

Second question:
You just have to combine the equation for T' and (3.2) and do some algebra: [eqn]m_1 \cdot \frac{m_2^2}{(m_1 + m_2)^2} + m_2 \cdot \frac{m_1^2}{(m_1 + m_2)^2} = \frac{m_1m_2^2 + m_2m_1^2}{(m_1 + m_2)^2} = \frac{m_1m_2(m_2 + m_1)}{(m_1 + m_2)^2} = \frac{m_1m_2}{(m_1 + m_2)}[/eqn]This is the reduced by the way.

>> No.15767387

>>15767341
>>15767376
Yes ok that actually makes sense. Just think of it as one rotating object i guess.

Thanks.

>> No.15767864

If we redefine the empty set to represent balance would it help solve some of the problems associated with zero? I've heard before that all numbers can be expressed by ratio, so my preposition is to make the empty set a ratio that is balanced. This would quickly become the largest set because you can balance an infinity with an infinity and it would remain zero.

>> No.15768118

>>15767864
>I've heard before that all numbers can be expressed by ratio
A number can be expressed as a ratio, only if it is rational. An irrational number, like the number [math]\pi[/math] for example, can not be expressed by a ratio.

>> No.15768196

>>15768118
Part of my conjecture is the elimination of irrational numbers. You can divide by zero, considering zero has value (1:1, 2:2, ect)

>> No.15768277

Perhaps a renaming to zero-rational numbers. As everything is relative to everything else, otherwise we would not be able to measure. Irrational numbers have defined value, in respect to non-value. Problem with zero arise which my conjecture explores. The problem is I am terrible at math.

>> No.15768366

>>15768196
The only ring, in which you can divide by zero, is the zero ring:
>https://en.wikipedia.org/wiki/Division_by_zero
There is a proof for it, if you're interested. You need a ring to define the known operations with rational numbers: Addition, multiplication, distributivity. Additionally, you can construct irrational number from rational ones. That was the problem that the Greeks faced, when they discovered [math]\sqrt{2}[/math] and this is the reason, why irrational exist.

>> No.15768423

>>15768366
My problem with that is the one element set. I propose that the set be expanded by all elements which conclude zero. I used the word balance to make it easier to conceptualize. The zero set would become the largest set because you can place any version of infinity on both sides of the scale and come to zero. Stepping away from the supposition of zero being true 'null' per se.

>> No.15768428

Will matrixes help me in my life?

>> No.15768430

>>15768423
a one-element set isn't a valid underlying set for a ring anyway, so that doesn't matter

>> No.15768436

>>15768430
The zero ring wiki says otherwise.
"The zero ring, denoted {0} or simply 0, consists of the one-element set {0} with the operations + and · defined such that 0 + 0 = 0 and 0 · 0 = 0. "
https://en.wikipedia.org/wiki/Zero_ring
Am I missing something?

>> No.15768441

>>15768436
Ah, there's a lot of conflicting conventions on terminology. I was thinking more along the lines of a field than a general ring.
In any case, there are ways to define division by 0 outside of the zero ring, but they stop being rings at that point. Wheel theory, for example

>> No.15768468

>>15768428
They're useful in physics. Depends on what you want to do in life really.

>> No.15768477

>>15768468
>what you want to do in life
I even don't wanna be alive. But math is the thing, that I need to don't get out from the uni. And uni is because Im coward and cant drop it

>> No.15768485

>>15768441
>Wheel theory
I very much appreciate the direction. This interests me a lot.

However wheel theory seems to still conflict with my conjecture by means of 0/0 remaining undefined or equal to the bottom element.

>> No.15768486

>>15768423
You need a ring to introduce addition, multiplication and distributivity. If you don't go with a ring, you can't do calculations, as you normally would. That's the problem.

Maybe you can use more exotic abstract algebraic structures, like eg wheels as this anon >>15768441 said. I'm not sure about this.

>> No.15768499

>>15768477
Are you drunk, I can hardly make out what you're saying. I don't know, I like matrices.

>> No.15768745
File: 46 KB, 1500x950, ellipse circumference.png [View same] [iqdb] [saucenao] [google]
15768745

I want to understand how this formula is derived. What do I need to learn?

>> No.15768805

>>15767864
Numbers are just space composed of more space. Zero is the amount of space composed of no space. Sets are already balanced by the symmetry of numbers themselves mainly primes, and that defines other operations. Most problems are simply cancelling out the symmetry of the numbers or the logic operators to return a measure of the difference.

It is a good thing math is generally the same cause otherwise there would be too many logical operators and you would probably not even exist because life would be less likely to exist in a chaotic environment.

You can also create your own math to shortcut operations by reducing complexity. Remember, if the answer is right then it doesn't matter if your the only one who can understand it.

>> No.15768810

Hey /sci/, tourist from /o/ here.
I was hoping someone could explain in simple terms why it's difficult to turn heat into electricity. Is there a particular hurdle, like some material we haven't developed yet, or is it just something that's not feasible, or...?
I think it would be cool if in the future we could have cars with a gas powerplant that capture part of the energy lost in the form of heat for some purpose.
Will I see that in my lifetime?

>> No.15768844

>>15768810
Strictly speaking you don't need heat, you need a heat differential so that heat flows from hot to cold. That can then be used, somehow, to do 'work' that is used to generate electricity. To generate a meaningful amount of electricity requires either a a very large source of heat (as in geothermal energy) or a large temperature difference - high pressure steam turbines as used in every other kind of power station; coal, gas, nuclear. We don't have a better method of turning heat into electricity.

Doing the reverse, using electricity to move heat from cold to hot, is how refrigeration works.

>> No.15768908

bros, is it possible to be a mathematician with something around 115IQ?
I am going to do a formal IQ test and I assume my IQ is around 115. The problem is, I study applied mathematics and I am very concerned if I really should be studying this. People with average IQ shouldn't be mathematicians as far as I'm concerned.
But I have an unfathomable love for mathematics, I don't know what I would do with my life without mathematics.
So, is it possible for a midwit, borderline brainlet with 115IQ, to be a mathematician?

>> No.15768912

>>15768908
Life isn't an RPG. There's no such thing as an INT stat. Before the /pol/-meme you have clearly fallen for, people still managed to choose careers simply because they enjoyed them.

>> No.15768952

>>15766497
Why?

>> No.15769065

>>15766653
Listen I just put it into intercept-slope and graph it like here. https://www.youtube.com/watch?v=qXX47hS2KLw&list=LL&index=2&t=380s
I don't get it how was it wrong?

>> No.15769330

>>15749475
you've failed to account for capacitance; it's not parity of charged motion if the moving charges are unbalanced. you didn't really engage with the question.

>> No.15769397
File: 86 KB, 640x512, 1374331228744.jpg [View same] [iqdb] [saucenao] [google]
15769397

So if I light a match, and it ignites, do the photons accelerate to the speed of light? Or they just are at c? The fuck

>> No.15769425

>>15769397
When the photons are created they are moving at the speed of light. There is no acceleration.

>> No.15769475

[math]
\cos{x}=-\ln{(y)}-y^{2} + C
[/math]
Can anyone tell me why if you solve for x here you end up with this? [math]x = \pi-arccos(\ln{(y)}+y^{2} + C)[/math]

Where does pi come from? And why is everything inside arccos positive? I feel like I skipped over something very important during trigonometry Lmao.

>> No.15769522

>>15769475
From the identity: [math]\arccos(-x) = \pi - \arccos(x)[/math].

>> No.15769654

non /sci/ here, I recently found out about quantum RNGs are truely random not pseudo random and therefore non-deterministic - if our world is deterministic what would happen if a human used the outcome of a quantumRNG to make an a/b choice? would this human now 'escape' determinism?

>> No.15769662

>>15769654
The universe would split into two. One universe would have a copy of this human after he did the choice a and the other universe would have a copy of this human after he did the choice b.

>> No.15769669

>>15769662
NTA but this is one thing I never understood
Is there no mechanism by which the universes could converge? If the cat is both dead and alive, so to speak, why should that necessarily affect me in any way?

>> No.15769690

>>15769662
this is the many worlds interpretation right? if so would that mean that both universes remain deterministic? as in once the quantumRNG is observed the universe splits into two deterministic universes?

>> No.15769735

>>15769654
> would this human now 'escape' determinism?
that depends on your definition. after they have made the choice the macro-world would still remain deterministic.

>>15769690
the keyword being interpretation. it's an untestable theory and it being true or not makes no difference to what is observed.

>> No.15769831

>>15769735
Sorry for all the follow ups it's just science isn't my strong suit from
>that depends on your definition. after they have made the choice the macro-world would still remain deterministic.
does this mean the individual made a small choice that wasn't deterministic but that doesn't stop the macro from being deterministic? to give an exact example I use quantumrng to decide to reply to you that action is indeterministic however some future prediction determinism calculator can't predict if I respond to you or not but that doesn't stop them from being able to know that 50 years from now I'll get hit by a car or something?

>> No.15769858

>>15769831
That is a question about how much does the random nature of the quantum world affect our (apparently) completely deterministic everyday observations of the world. However people have been arguing about that for over a century and there is still no agreed upon consensus.

> that doesn't stop them from being able to know that 50 years from now I'll get hit by a car
Even if the macroscopic world is for the sake of argument completely deterministic, to know what would happen with certainty that far into the future you would have to know the state of every particle within a 50 light year radius to perform the calculation - that isn't going to happen. That is why even though the universe could be completely deterministic it is effectively still random because we can't make such predictions with perfect accuracy since it requires perfect knowledge.

>> No.15770237

>>15751287
yes

>> No.15770265

>>15755715
You're talking about the problem of determining the RoC from the coefficients [math]c_n[/math] when you don't have an analytical expression for [math]f[/math]?
As you say, you can plot [math]c_n/c_{n-1}[/math] vs [math]1/n[/math] (Domb-Sykes plot) and extrapolate, but this limit is not always well behaved. You can also encounter the problematic situation where this series fails to converge because [math]f[/math]'s closest singularity to [math]a[/math] is off the real axis.
In fact this problem has applications in theoretical condensed matter physics for determining the critical temperature and exponents of lattice models, and there is a technique called Padé approximation to deal with complex singularities. See "Introduction to Phase Transitions and Critical Phenomena", chapter 9, by H. Eugene Stanley (available on libgen) if you're interested.

>> No.15770280

>>15760499
b is in the span iff the set of 3 given vectors and b is linearly dependent
matrix has det 0 iff its columns are linearly dependent

>> No.15770282

>>15762263
moving average

>> No.15770285

>>15769654
Why do you want to "escape determinism" by making a completely unpredictable choice based on some physics? In what sense does this constitute free will, if such a thing can even be defined?

>> No.15770289

>>15764993
sounds like a neurological condition assuming your left eye has good vision
how well can you see and do those things with the right eye closed?

>> No.15770297

>>15765929
when they make the magnetic alloy it's cheaper to crush it and mold the powder into the right shape than to cut the alloy into chunks, also makes for a more consistent end product

>> No.15770323

>>15770285
I don't it's mostly just if truerngs exist (which every scientist I could find talking about them says they do) then if I use a non deterministic rng to make a choice wouldn't I stop being deterministic at that point and if so that means I would continue to exist as a nondeterministic thing and I would then interact with other people wouldn't that cause our world (or at least people I interact with) to no longer be deterministic?

>> No.15770343

>>15770323
>wouldn't that cause our world (or at least people I interact with) to no longer be deterministic?
At a fundamental level our world is not deterministic, at least according to the physics we know about. You don't need to cook up some contrived non-deterministic rng experiment in order to introduce that.

>> No.15770393

>>15770343
sorry like I said I'm not a science person but in highschool (10 years ago) my teacher told me free will doesn't exist and if you had a computer powerful enough and complete knowledge of the starting conditions of the universe you could calculate everything that has/will ever happen - is this view no longer considered true? is there anything you'd recommend I read in regards to determinism/free will?

>> No.15770592

>>15770393
That view was not considered true long before your high school teacher was born. There is one problem due to deterministic chaos (the problem that it is very sensitive to the precision of your "complete knowledge") and another problem due to the fact that the world (including microscopic motions in fluids) is quantum mechanical. These were developments in the early twentieth century.

Anything having to do with "free will" is controversial and personally I have never heard a reasonable definition of it, but I can say with certainty that your high school teacher was teaching you an obsolete eighteenth and nineteenth century view of physics.

>> No.15770806

Why can't you pick eschars