/sqt/ /qtddtot/ - stupid questions thread

[Anonymous No.15900685]

>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

[Anonymous No.15900730]

suicide suicide suicide

[Anonymous No.15900887]

>>15900730
based suicide poster. hang in there champ, it was always gonna be hard.

[Anonymous No.15900906]

Struggling a lot with functions, Our professor provides Extremely rigorous examples, I face a lot of problem in graph type of questions finding whether the function is surjective, bijective

What should I do anon ? Any book I can refer to ?

[Anonymous No.15900920]

>>15900906
https://youtu.be/FkUEsP9efFg?feature=shared

[Anonymous No.15900938]

>>15900685
Is it normal that you learn slower as you age?
I remember I used to just soak up academic textbooks (mainly those about organic chemistry and mathematical analysis) in my late teens, but now, a couple years later, I need way more time to learn basically anything. Is this normal?
On the upside, it seems like I can now learn humanities quite fast, so there's that.

[Anonymous No.15901049]

>>15900223'
[math]\cdots[/math]

[Anonymous No.15901099]

why.

[Anonymous No.15901186]

>>15900685
What's a good book on learning how to count. Today I got filtered trying to count the ways to arrange red and green balls.

Also, what's a good book for learning how to drive definite forms of sums. Today I got filtered by trying to do the sum of the first n square numbers.

>t. Putnam A1 and B1

[Anonymous No.15901198]

>>15900887
Oh I'll hang all right

[Anonymous No.15901385]

>>15900920
Too elementary, we have a more rigorous and proof based material for studying function and relatiom

[Anonymous No.15901409]

>>15900685
Thank you for the sources!

[Anonymous No.15901447]

How to check for octet in resonating structures to compare stability?

One pair is 2 electrons, then ?

Can someone please explain this process to me in layman language, our professor kinda skipped few steps which are elementary


T.ochem-1

[Anonymous No.15901461]

>>15901385
Can you show us examples of what you're working with

[Anonymous No.15901620]

>>15901461
Let sin{π/6[(π/2)sinx]} for all X belongs to R and g(X) = π/2 sin X for all X belongs to R

Then :

A) range of f is [-1/2,1/2]
B) range of f(g(X)) is [-1/2,1/2]
C) limx->0 {f(X)/g(X)} = π/6
D) their is an X belongs to R such that g(f(X)) = 1
for all and g(x) =

for all xR. Let denote f(g(x)) and denote g(f(x)). Then which of the following is/are true?

[Anonymous No.15901623]

>>15901461
Let sin{π/6[(π/2)sinx]} for all X belongs to R and g(X) = π/2 sin X for all X belongs to R

Then :

A) range of f is [-1/2,1/2]
B) range of f(g(X)) is [-1/2,1/2]
C) limx->0 {f(X)/g(X)} = π/6
D) their is an X belongs to R such that g(f(X)) = 1
Which of the following is true

[Anonymous No.15901645]

>>15900685
Is linguistics a science

[Anonymous No.15902067]

>>15901645
If you consider taxonomy a science or are naive enough to think the Vienna circle was right about language then yes.
If neither of those are the case for you then it's just a particular field of anthropology and thus is a useless humanity topic. ¯\_(͡°͜ʖ͡°)_/¯

[Anonymous No.15902138]

why do tall women have weird voices?

[Anonymous No.15902145]

>>15902138
Bigger cavity = lower resonant frequency. They have much deeper voices than we realize but they still talk like girls. It's not abnormal as much as it is uncommon, which is why it feels weird.

[Anonymous No.15902521]

>>15901623
Help ?

[Anonymous No.15902529]

>>15902521
Just test the anwsers by calculating the ranges and limits.

[Anonymous No.15902991]

>>15902529
Walk me through that process

[Barkun No.15903006]

Is Earth flat or pyramid or sphere

[Anonymous No.15903007]

>>15902991
A) Rewrite [math]\frac{\pi}{6} \frac{\pi}{2} \sin(x)=u[/math] so you end up with [math]f=sin(u)[/math].
B) Same as above, but now [math]\frac{\pi}{6} \frac{\pi}{2} \sin(x)=v[/math].
C) very basic application of l'Hôpital
D) Is 1 in the range of g? Or, put another way, is [math]\frac{1} {\frac{\pi}{2}}[/math] in the range of [math]\sin{x}[/math] for real x?

[Anonymous No.15903010]

>>15903006
cylinder

[Barkun No.15903012]

>>15903010
Ga'qle

[Anonymous No.15903539]

I was looking at homemade heliostats and was pondering if there was math that could take care of the targeting problem. Surely we must be able to predict the suns position to a degree of accuracy with a formula? Given the time and location of course. But that got me pondering again. What time would I feed this formula? The sun doesn't care if it's daylight savings or if we did a leap day. So my question is (Tl;Dr):
Does space time exist? If not, how do space physicists talk about where a body is going to be at a certain point in time?
Thank you for your time.

[Anonymous No.15903540]

>>15903539

[Anonymous No.15903623]

Hi guys. I have a question.
What is the relationship between compressibility (rigidity) and the speed of sound through a medium?
I know that in general, as rigidity increases, so does the speed of sound. Like the speed of sound in water is faster than in air.
But is there an equation that defines this relationship?
I ask because I have a theory that space is a compressible fluid and the speed of light is the speed of sound in space.
I want to try to derive the approximate compressibility of space-fluid using the speed of sound (light).
Is this derivation possible or would I need more variables than the speed of sound? Also, what do you think of my theory in general?

[Anonymous No.15903641]

>>15900685
So what happened with the gook temperature superconductor?
It was all a scam?

[Anonymous No.15903684]

>>15903623
In general sound waves depend on the elastic properties of the material and the inertial involved. For example the speed of sound in a solid depends on its Young's modulus and its density. [math]v = \sqrt{\frac{Y}{\rho}}[/math].

However that equation only applies to a mechanical wave, compression waves require a medium. There is no medium required for light, it's not the same kind of wave. If you're trying to prove the existence of the aether this isn't going to work.

[Anonymous No.15903746]

>>15903684
I think we have reached the limit of where non-aether models can take us. It has led us the path of inventing convenient yet unprovable mechanisms like dark energy and dark matter.
It is time to double-back and reconsider the possibility of aether as an explanation. I think the best possible starting point is Karl Pearson's Ether Squirts, which is an interesting read even if you think I'm dead wrong. You can still view it as a thought experiment.
https://www.jstor.org/stable/2369570

In this paper, Pearson describes space as flowing from squirts and into sinks. Sinks are matter, and squirts are antimatter. He described antimatter decades before it would be formally postulated to exist. And he was right.
I came up with the same theory independently a few years ago. Where space goes to and comes from, we can call this the anti-universe.
I think the expansion of the universe is caused not by dark energy, but by an imbalance of flow of space between the universe and anti-universe. An imbalance of matter and antimatter, squirts and sinks.
Matter is being destroyed through fusion in stars, while there are no processes destroying antimatter. Antimatter disperses itself by its very nature, expelling and putting space between itself and other objects.
I also think dark matter holding galaxies together is really the "pressure" exerted by dispersed antimatter in intergalactic space.

To me, it is all very clear and simple and even seems obvious. That's why I need an outside opinion. How would you go about proving this?
One flaw with Pearson's model is that he treats space as an incompressible fluid, whereas I know it must be compressible to satisfy the equations for gravitational and kinetic time dilation (the same thing in my model).
So I'm working on updating it to account for the compressibility of space, but if I'm being honest, I'm feeling rather out of my depth.

[Anonymous No.15903815]

>>15903746
Pure wishful thinking. You *want* there to be something else, that scientists have made some fundamental mistakes. Nah. Your level of understanding seems to be at the level of some pop-sci videos. There is nothing scientific about any of your arguments. I've had more logical ideas when I've been high as fuck.

[Anonymous No.15904319]

alright guys first time posting in this thread
do any of you have experience with doing stress calculations for carbon fibre?
i need to determine what my laminate stack should be for a project but i don't know where to begin, all i know is that the finished product needs to be able to sustain a minimum of 80kg without bending - what calculations do i need to figure this out?
thanks frens

[Anonymous No.15904577]

How come H-O-CL is more acidic than H-OF, even though the electronegativity of fluorine is more than that of chlorine ?

[Anonymous No.15904579]

>>15904577
I am sruggling a lot in ochem comparing acid base strength, it uses ton of concepts already :(

[Anonymous No.15904581]

>>15903815
Anon, this conversation has inspired me and allowed me to complete my alternative model of the universe. I've realized that I was going down that wrong path by believing that spacefluid is compressible. Rather, it merely traverses a 4 dimensional hypersphere at it flows towards matter. This is all laid out and made clear in Dante's Divine Comedy. There is no need for compressibility and the equations for time dilation are still satisfied. Thank you.

https://www.mathinees-lacaniennes.net/images/stories/articles/dante.pdf&ved=2ahUKEwjfxuiSkvaCAxXCJEQIHenFAT0QFnoECBQQAQ&usg=AOvVaw0ip6Gi-9YhO1Hi0dZGqhp2

[Anonymous No.15905469]

>>15900685
Is there an Euler product form of the Dirichlet eta function? And if so, what is it?

https://en.wikipedia.org/wiki/Euler_product
https://en.wikipedia.org/wiki/Dirichlet_eta_function

The Euler product wikipedia page lists a whole bunch of functions with Euler product forms, but it doesn't list the Dirichlet eta function (aka the alternating zeta function).

[Anonymous No.15905487]

>>15904577
Remember, the more protons a molecule disassociates from in solution, the more acidic it is. The electronegativity of the fluorine is so strong that it will take more to disassociate a proton compared to a chlorine. This means that H-OF will more likely "hold on" to the hydrogen compared to the H-OCl. This is the same reason why HCl is a strong acid and HF is not - chlorine's lesser electronegativity means it will readily "let go" of the hydrogen, making it more acidic while the fluorine will tend to want to "hold on" to the hydrogen.

[Anonymous No.15905731]

How do you go about solving this?
I know a relation is an ER, if it is reflexive, symmetric and transitive, but I don't know how to progress from there - i.e calculate R etc.

[Anonymous No.15906133]

What are some of your favorite /sci/ related non-textbook books? I'm looking to bolster my library and want some good recommendations.

[Anonymous No.15906136]

>>15906133
I'm currently really enjoying reading `The Master and his Emissary'.

[Anonymous No.15906162]

Checking out the +pion into positron+neutrino decay, doesn't the positron end up with momentum
p=(140^2-0.511^2)/(2*140) Mev, which means its speed would be v=(140^2-0.511^2)/(2*140*0.511)>1, which would be impossible?

[Anonymous No.15906178]

>>15906136
Thank you, anon. I'd like to do a dopamine recalibration from being addicted to technology with this small library bolster, so if you have any more recommendations, I appreciate it!

[Anonymous No.15906184]

>>15906162
p = m v is not the correct definition for momentum at relativistic speeds. it should actually be p = gamma m v, where gamma is the Lorentz factor.

[Anonymous No.15906238]

Is there any field in mathematics related to the abstraction and resolution of equations? For example, let's say there is a physics problem and, with an equation related to the problem, I pass an expression to the other side, differentiate this, multiply both sides with this, make a substitution with another equation and finally then transform everything into numbers and I already have the result of an unknown. Is there a way to "Mathematize" all those steps or ideas when creating equations or solving problems?

[Anonymous No.15906338]

I was looking up obscure trig functions and looking at the diagram on wikipedia just begs the question if there is a name for the cot+tan segment - the hypotenuse of the triangle rectangle formed by the secant and the cosecant.

Is there a name for it or does it simplify to anything interesting?

[Anonymous No.15906345]

Does anyone have a list of biogical niches separated by biome? like a really detailed food web.

[Anonymous No.15906353]

So I've passed calculus with good results but my algebra was clearly lacking when done from memory with my genz fried mind.
Is there a good problem/rule/trick book or something to stay "fit" around the foundations, I don't need to read what a polynomial, factoring and so on is.

[Anonymous No.15906380]

I was told abbott's analysis was the most intuitive but what the fuck is this?
how is it intuitive that |x-y|<1 => |x| < |y|+1?
yeah I know the reverse triangle inequality is ||x|-|y|| <= |x-y| but it's still takes computation to come to the fact

[Anonymous No.15906391]

>>15906380
We have for all [math]x, y \in \mathbb{R}[/math] [eqn]|x| < y \iff -y < x < y[/eqn] so what the inequality tells us is that [math]-|l| -1 < x_n < |l| + 1[/math] which is certainly true considering that always either [math]|l| = l[/math] or [math]|l| = -l[/math]

[Anonymous No.15906397]

>>15906391
>a positive number is negative
take your medicine old man
now if any white people with white skins and non-poop eyes would like to respond much obliged
again I've already shown myself it's true by the reverse triangle inequality, but I don't see the intuition of the claim which Abbott seems to imply it should be obvious, when of course it's not obvious to use the reverse triangle inequality.

[Anonymous No.15906400]

Is there a good book I can get on strategies to accelerate brain healing?

[Anonymous No.15906412]

>>15906397
If [math]l[/math] is negative then [math]-l[/math] is positive...

[Anonymous No.15906434]

>>15906412
What are you talking about geezer? The domain we're in is (l-1, l+1)
not (-l-1, l+1) or (l-1, -l+1)

[Anonymous No.15906450]

>>15906434
Okay look. For all [math]l \in \mathbb{R}[/math] obviously [math]l \leq |l|[/math] agree? Since [math]x_n \in (l-1, l+1)[/math] the inequality [math]l-1 < x_n < l+1[/math] is true. This implies that [math]x_n < |l| + 1[/math] and also that [math]x_n > -|l| - 1[/math] which is the same as saying [math]-x_n < |l| + 1[/math] and this is all that you need to show for the inequality that you want.

[Anonymous No.15906523]

>>15906450
>agree
No, I won't humor it even if it's true I won't humor that it's an obvious step towards an obvious and intuitive conclusion that |x_n| < |l|+1, because clearly it's not. He should have just said "use the inverse triangle inequality to conclude" and we wouldn't have this problem.
And look more nonsense from Abbott in pic rel
I will never recommend Abbott to anyone after this. At this point I'm just going to read Pugh

[Anonymous No.15906563]

>>15906523
Nigger where did you even need to use the inverse triangle inequality in this one, I literally spelled out a proof for you that doesn't use it and is pretty simple. And there's nothing wrong with pic related, he's just applying the definition of a cauchy sequence. I'm starting to think you're a literal retard. If you want to learn analysis, read Amann/Escher

[Anonymous No.15906570]

Suppose we have a function [math]\Phi: \mathbb{R}^2 \rightarrow \mathbb{R}^3[/math]. What could be possibly meant by the notation [math]\frac{\partial}{\partial x}\Phi(x, y)[/math]. Just take the partial derivative w.r.t. x in each component?

[Anonymous No.15906574]

>>15906563
I already laid it out in my first post, but for this case it's the same idea in which |x_n| < |x_m| + 1 via the triangle inequality for all n,m >= N
so it is a trivial case that |x_n| < |x_N| + 1
I really see no other way of coming to this conclusion, it's probably either impossible or very retarded.

[Anonymous No.15906582]

>>15906574
It's just regular triangle inequality like you always do.
[eqn]|x_n| = |x_N + (x_n - x_N)| \leq |x_N| + |x_n - x_N| < |x_N| + 1[/eqn]

[Anonymous No.15906586]

Which garden flower is the most likely to evolve to fit the tree niche on a planet seeded with only garden flowers, honeybees, and hummingbirds?

[Anonymous No.15906595]

>>15906582
well reverse tri is a result of regular tri, but wow that's interesting totally didn't notice that because I was thinking in terms of manipulating |a-b|<c
are you the same as this retard >>15906391 >>15906450 ?
because I don't know how your IQ level increased so quickly from being retarded to very smart.
But my point clearly still stands, it's not an obvious immediate fact as Abbott seems to imply. With just this one improvement his book would be much better.

[Anonymous No.15906705]

>>15905731
well x \iff x is obviously a tautology for all x in F since an equivalency is true if and only if both sides of it have the same truth value, and since x is logically equivalent to itself the equivalency will always be true so it is reflexive.
For a relation to be symmetric it means that if x \iff y is a tautology then y\iff x is also a tautology. It should be pretty easy to see that this relation is symmetric since, if you have for example -(pVq) \iff -p∧-q is a tautology and you just change the order, so you have -p∧-q \iff -(pVq) then the truth value of the equivalency doesn't change.
Transitivity also shouldn't be that hard to intuivitely understand, if you have x \iff y is a tautology and y \iff z is a tautology then x \iff z is also a tautology, because what that basically means is that x and y are logically equivalent and y and z are logically equivalent, so naturally x and z must be logically equivalent.
Also I don't know if you asked for like a correctly worded proof or if you intuitively don't get it. If it's the second I recommend reading more on ER's, what the different attributes of relations mean (reflexive,irreflexive,symmetric etc), because I don't think it should be that hard to intuitively understand that this is an ER if you know the basics about those things.
you can check out def 2.2.1 if you're having a hard time with the tautology part and logical equivalency: https://www.math.fsu.edu/~pkirby/mad2104/SlideShow/s2_2.pdf

[Anonymous No.15906730]

why do they teach up topological definitions in analysis if we never use them?
Like I could show you x^2–>p^2 as x–>p using epsilon delta definitions, but I have no clue about using the topological definitions.
Like how do I show f(N_d(p)) is contained in N_e(p^2) for all e>0?

[Anonymous No.15907456]

bump

[Anonymous No.15907493]

>>15904319
h-hello?

[Anonymous No.15908006]

>>15906705
I think it was more understanding what the task was asking me to do. I've never done a problem like this, but your explanation helped a great deal. Thank you.

[Anonymous No.15908016]

>>15906730
They do, just not at your level.

[Anonymous No.15908029]

Whats the point of CFD in pipe flow calculations? For a real simulation with friction, multiphase flow, transport, turbulence modelling and heat transport youll need a gazillion cores and a gazillion hours of computing time to get any real answer at all. Even these are often wrong. Just use 1D equations based on literature and do it emperically.

Does CFD have any real-world applications for industry outside of aerodynamics for flight or niche academic interests?

[Anonymous No.15908033]

>>15908016
then why even introduce it at this level?

[Anonymous No.15908059]

>>15906400
Reading in itself promotes neurogenesis and plasticity versus cheap dopamine fixes like television and video games. Pick up a book from your library and just start reading instead of playing on your phone.

[Anonymous No.15908118]

Is their any book which contain rigorous and plenty questions about functions like proving bijectiv,surjective onto into....mostly questions related to trig functions too?

Would Spivak be helpful ? All the discrete maths book I searched lacked examples on trig function and those type of questions which can be solved only using graphs...

(In my country engineering entrance exams are pretty rigours that's why I have to study all calc 1 topics well, specially function and relation)

Can anyone help me out here ?

[Anonymous No.15908219]

>>15906238
>Guys pls respondme

[Anonymous No.15908290]

>>15908033
I don't know.

[Anonymous No.15908295]

Do people with down syndrome follow the normal bell curve so there might be some downs people with 100+ iq or is there a hard cap for people with downs?

[Anonymous No.15908312]

>>15900685
How do I put more than 3 graphics on one page in LaTeX? The 4th picture is always set on another page for some reason? I'm making a small collection of icons on a page and after the 3rd it just throws the next one smack dab in the middle of the next page.

TeX looks something like this:

********************
\subsubsection{\textcolor{green}{Start}}

\begin{figure}[h]
\centering
\includegraphics{picture1.png}
\caption*{Start}
\end{figure}

Lorem Ipsum my dude

\subsubsection{\textcolor{orange}{Pause}}

\begin{figure}[h]
\centering
\includegraphics{picture2.png}
\caption*{Pause}
\end{figure}

Lorem Ipsum my dude


\subsubsection{\textcolorred}{Stop}}

\begin{figure}[h]
\centering
\includegraphics{picture3.png}
\caption*{Stop}
\end{figure}

Lorem Ipsum my dude
********************

and so on. I guess I could solve it with minipages, but I don't want to use minipages because I don't want to keep wrangling ever more shit.

[Anonymous No.15908323]

>>15908118
Bump, pls help

[Anonymous No.15908328]

>>15908312
Nvm, found out, changing the [h] to [H] solved it, I just forgot that I need \usepackage{float}.

[Anonymous No.15908362]

>>15905469
Any ideas on this?

[Anonymous No.15908381]

>>15908118
Bump

[Anonymous No.15908386]

>>15905469
>>15908362
There's a direct mapping. You can write the Riemann Zeta function in terms of the Dirichlet Eta function, and vice-versa: [math]\zeta(s) = \dfrac 1 {1 - 2^{1 - s} } \eta(s)[/math].

So since you know the Euler product form of the Zeta function that implicitly means you also know it for the Eta function.

[Anonymous No.15908391]

>>15908312
You should use subfigures.

[Anonymous No.15908392]

>>15908290
Oh, ok then thanks.
I will just read further. Just ordered some dover books about topology.
Is topology useful for diffy Qs?
that's my main interest and I was told I had to understand analysis to understand diffy Qs.
btw understanding analysis by Abbott is a terrible book. Pugh's is much better.

[Anonymous No.15908393]

>>15908392
>Pugh is better
Heh. Are you that guy coping about that one inequality in Abbott not being spoonfed?
Pugh literally has proofs in measure theory he deems `obvious from the picture I drew'.

[Anonymous No.15908517]

>>15908029
Yes

[Anonymous No.15908548]

Is Hansen correct that we're going reach 4.0C at the end of this century?
If so, what do if it's already over?

[Anonymous No.15908608]

>>15908393
Yes, and I read up to integration and then switched and I like it much more.
The claim that Abbott is so good because it's sooo intuitive is bullshit.

[Anonymous No.15908818]

wtf even is convolution
in my signals classes we just write that shit away with transforms whenever we can but what even IS it because I don't have a clue

[Anonymous No.15909134]

>>15908818
https://youtu.be/KuXjwB4LzSA

[Anonymous No.15909367]

Do rocks sublimate? If I leave a grain of SiO2 sand floating around in space for a while, will it just sublimate until there's nothing left? If yes, what kind of timescale are we talking about?

[Anonymous No.15909594]

Is this the only way to decompose a square M into four congruent squares? If so, is this trivial enough to presuppose it in a proof?

[Anonymous No.15909617]

Which properties do you measure and how you combine them to find out the hardness/brittleness of a substance???

[Anonymous No.15909626]

>>15908392
Actually, I do know. It's so that you don't have to relearn different proofs later on. Topological proofs often nicer, cleaner, and give stronger results. The rigorour of analysis really only shines when you go to stuff like Functional Analysis; it's kind of useless at the undergraduate level. So you can think of Analysis as just training for REAL analysis à la Papa Rudin. Also the stuff taught in Abbott is barely Topology.
>Is topology useful for diffy Qs?
Essential for PDEs.

[Anonymous No.15909645]

>>15909594
yes, and I would say it's trivial enough that nobody is going to give you shit for it

letting the side length of M be m, you have an area m^2 that you want to break into four congruent squares of area (m^2)/4 and thus side length m/2. doesn't take much experimentation to figure out that splitting along the midpoints of the sides is the only way forward

[Anonymous No.15909739]

>>15908386
Well then is there an Euler product form of the factor (1-2^(1-s))? I would need to multiply that into the Zeta function's Euler product in order to express the Eta function as an Euler product.

[Anonymous No.15909803]

can anything ever break modern symmetric encryption? i know it's mostly impratical nowadays but i also keep hearing it's less secure than public key techniques although these might be vulnerable to the advancements in math

[Anonymous No.15909826]

how would I go about doing the following sum?

[math] \sum_{n=k}^{\infty} A^n \frac{n!}{(n-k)!} [/math]

[Anonymous No.15910007]

RGB LEDs can be used to produce different colours of light, this is achieved by varying the intensity of each of the red, green and blue LEDs.

How does this work when colour is determined by wavelength, yet the RGB led is only changing the intensity? Is this something to do with the human eye?

[Anonymous No.15910060]

>>15908608
You should read Real Analysis by Cummings. It's written for absolute brainlets. Like even below Stewart tier.

[Anonymous No.15910140]

any math enthusiast want's to help me save the semester? i have to solve 6 differential equations by tomorrow at 9

[Anonymous No.15910174]

>>15910140
bring it on nigger

[Anonymous No.15910202]

I assume that permafrost ice hasn't been contaminated with microplastics, hormones etc. Should I be drinking only that?

[Anonymous No.15910272]

>>15909594
Define square

[Anonymous No.15910274]

>>15903623
NEED2BREED HER

[Anonymous No.15910285]

>>15903815
>I've had more logical ideas when I've been high as fuck.
Share them please

[Anonymous No.15910319]

Need help with physics

[math]I = \frac {L} {ω}[/math] versus [math]I = m \times r2 [/math]

What is the difference between these formulas
Why does the first one show up when I google "moment of inertia" but is mentioned nowhere in my textbook? What the fuck?

[Anonymous No.15910322]

Is their any book which contain rigorous and plenty questions about functions like proving bijectiv,surjective onto into....mostly questions related to trig functions too?

Would Spivak be helpful ? All the discrete maths book I searched lacked examples on trig function and those type of questions which can be solved only using graphs...

(In my country engineering entrance exams are pretty rigours that's why I have to study all calc 1 topics well, specially function and relation)

Can anyone help me out here ?

[Anonymous No.15910329]

>>15910319
The former is the proper definition, which is just angular momentum over angular velocity
The latter is only really for a point mass, although if you break an object down into a bunch of point masses and sum them up you get an answer equivalent to the former

[Anonymous No.15910337]

>>15910329
Okay yes, that makes more sense, thanks

[Anonymous No.15910442]

>>15910007
>Is this something to do with the human eye?
Yes. Human eye perceives color depending on how light stimulates different types of sensory cells. A certain wavelength might be perceived as certain color, but some combination of different wavelengths might produce the same result. Indeed there are colors that do not correspond to any particular wavelength, but can only be produced by mixing different ones

[Anonymous No.15910498]

I unironically need help with math-ey homework.

We're supposed to write a circuit simulator in c++, turns out it's rather laborious. Now, we somehow have to make a Runge-Kutta 4 solver, problem is we're only given pic related as an explanation and we (as in everyone i knows) don't have any clue on how to solve it for a 2nd order dif eq.

So, first of all i don't actually knows what i'm doing for the first order : the """explanation""" tells us about f(u_n,t_n) but we don't actually have any time involved in the equation, only input voltages and the time step.
yet, my first order equations such as v_in[i]-v_out[i]/(R*C) only work if :
- v_in[i] = t_n
- v_out[i] = u_n
Then computing the RK4 coefficient work, but why ? why is the input signal suddenly related to time ??

Also, how does that "transformation" actually works for higher dimension functions ? my 2nd Orders have 4 inputs instead of two : v_in[i-1] , v_out[i-1] , v_in[i] and v_out[i] ( obviously i want v_[i+1] )

Any clue what i'm supposed to do ? we already asked the profs but they either didn't know because they were only good at programming or were absolute mathfags and didn't want to explain because it would spoil and it's supposed to be "trivial". I'm in EE btw, i've only touched c++ by programming shit in my spare time when i was younger, i've no clue why they dropped this assignment like this out of nowhere.

[Anonymous No.15910513]

>>15910174
basically this, i need a hero...

[Anonymous No.15910685]

>>15909803
>i know it's mostly impratical nowadays but i also keep hearing it's less secure than public key techniques
I know barely anything about cryptography, but I don't think that's actually true. People probably just say that because public key is usually provably hard and symmetric encryption is basically random goofy shit.
Have you ever just read how AES works?

[Anonymous No.15910916]

still can't wrap my head around this
am I getting filtered?

[Anonymous No.15910922]

and there you have it

[Anonymous No.15910925]

>>15900685
what's her name

[Anonymous No.15910947]

>>15900685
Is picrel even possible without any additional information? Henderson-Hasselbach equation can't be used because of the missing activity of the conjugate base. I don't know of any method which can find it with just the activity of the conjugate acid, so I'm pretty sure you can't do this without moarr info.

[Anonymous No.15911075]

Gravity is often said to be the weakest force with the highest area of effect. What im wondering is if its possible for gravity to be stronger than the other forces in a black hole? Ive always thought that it could reign supreme by abusing the fact that its potent over long distances and amassing the forces of a huge amount of matter

[Anonymous No.15911165]

>>15910685
Not AES, but even computationaly cheap symmetric ciphers seem to be unbreakable in theory. in the end it's about how much the users know each other in advance, and how much the threat agent knows them

[Anonymous No.15911355]

>>15911075
> Gravity is the weakest force
True. A simple magnet can produce more force than the gravity produced by the entire Earth.
> with the highest area of effect
Not true. Gravity and EM both are infinite range and scale as [math]\frac{1}{r^2}[/math].

The difference is that EM has +ve and -ve charges, they tend to cancel out, or a particle can have no charge at all. Gravity only has "positive" mass.

> im wondering is if its possible for gravity to be stronger than the other forces in a black hole
Depends what you mean precisely by "stronger". Physicists measure the strength of a force by its coupling constant, for EM that is called the fine structure constant. However those constants can change at high energy scales but at the most extreme level they would all unify to the same value. Gravity would never be stronger.

[Anonymous No.15911370]

>>15911355
But the earth is a magnet and when I drop an iron needle it falls practically straight to the ground instead of flying to the north pole.

[Anonymous No.15911395]

>>15911370
The earth's magnetic field isn't strong enough, it's actually kind of weak. A tiny bar magnet is about 200 times stronger and can lift that needle off the ground.

[Anonymous No.15911630]

What is -3.33 + 4? I thought it's 1.33 but the calculator says I'm wrong

[Anonymous No.15911637]

>>15911630
[math]-3.33 + 4 = 4 - 3.33 = 0.67[/math]

[Anonymous No.15911693]

>>15910947
This probably means that there are 0.1 M of (HOAce + OAce-), as if you had dissolved 0.1 mol solid HOAce in 1 L water. And assuming intro chem, activity equals concentration.
You should be able to solve it from here using conservation of number and Henderson-Hasselbalch
>>15911630
Incredible

[Anonymous No.15911862]

I'm researching into evolution, and I think at this point I believe it to be true
I'm trying to show some of my deeply religious friends who don't believe it to be true some evidence
I primarily talk about transitional species found for whales, and then species found for hominids
The response I get is "how is this proof that these species are changing into the other"
How am I meant to respond to this
to me it seems obvious.
>oh you have a land mammal, then a million years later a similar species but with traits more adept for hunting within water is found, and then a million years later a similar but even slightly more different and aquatically adept species is found, then another million years etc etc...
To me it just feels like pretty obvious evidence
Am I just not explaining this properly? Any help would be nice because I'm also trying to learn more myself

[Anonymous No.15911872]

>>15911862
As a joke, ask them if they believe different dog breeds are real, and then ask what would happen if you kept letting them get farther and farther apart.
Or, if you want something a bit more serious, look into the peppered moth. Probably the most famous example of natural selection hard at work during a period where people were actually paying attention

[Anonymous No.15911894]

>>15911862
they are brainwashed
don't bother trying to convince them, it's not worth the time

[Anonymous No.15912074]

Is it okay to cite book from 1947 if it's for basic facts only?

[Anonymous No.15912075]

If n is a positive integer such that the sum of all positive integers "A" satisfying 1<= A<= n and GCD {A,n}
is equal to 240n then the number of summands namely (n) is

How to do solve these type of set questions which require mathematical induction ?

[Anonymous No.15912080]

>>15912074
depends on the field. in mathematics or physics i'd say yes, in psychology (which is a pseudo science anyway so everything changes every 5 years) i'd say no.

[Anonymous No.15912131]

>>15911872
>peppered moth
OK, I brought it up to a few friends
the response basically boiled down to
>"Proof of evolution within a species is irrelevant, I want proof of one species evolving into another"
I also mentioned how nylon is a recently (relatively) new synthetic material I believe, and we've witnessed new species evolving that have the ability to "consume" nylon
But I'm still learning so maybe that is just a quirk of a species rather than it being an outright new species?
I asked them their thoughts on other hominids like Australopithecus afarensis, Homo habilis, Homo erectus, the hominids as researched by Tim D. White in 2003, etc etc
and the response I got to that is just "well those are deformed humans"
I asked how multiple independent and morphologically consistent species of alleged "deformed" humans or apes existed in the distant past, but for some reason we don't see those deformities in modern society in any humans or in any other ape species. My friends just shrugged it off
I know a response I got was that I can't change their mind. but I didn't believe in evolution either and now I'm starting to open my eyes about this whole branch of science.
If I'm wrong on anything I've said anybody please chime in to correct me or add useful information I should know
Thanks

[Anonymous No.15912139]

>>15912080
It's chemistry. And I'm quoting chapter 1 which is just some basics. Can I trust it tho?

[Anonymous No.15912389]

what if there was an STD that made you more horny? more promiscuous?
does such a thing exist?

[Sage No.15912406]

Sage all fields!

[Anonymous No.15912432]

>>15912131
At this point, I'd say you're just screaming into the void. You know the saying about leading a horse to water?
The definition of a species (and, really, any phylogenetic grouping) is pretty arbitrary, and is more about what's closely related to what and giving a feel of how closely related they are than any sort of formal definition. So literally anything you could possibly cite could very easily be given that same "oh, that's just a deformed version of the other one, now show me an actual new species"

[Anonymous No.15912636]

>>15911355
Im not going to pretend i understood much of that so im going to try to relate it to something ive heard before. I know that the forces as we know it where merged as one in the very high energy early universe so what im assuming is that by unify, you mean that that difference between all the forces become negligible and they all function as one force, right?
That would be cool, having an upper cap that once surpassed, merges everything together

[Anonymous No.15912640]

HOW BIG DOES A LAKE HAVE TO BE BEFORE YOU CANT SEE THE OTHER SIDE?

[Anonymous No.15912798]

>>15912640
if youre referring to the opposite shore, about 3 miles. if theres a tall building or mountains on the other side you can see those from much farther. other factors can affect this figure, like atmospheric refraction and the fact that the earth isnt a perfect sphere, its slightly smoother in some places and more curvy in others.

[Anonymous No.15912837]

>>15912798
Is human height the most important factor?

[Anonymous No.15912913]

>>15900685
tl;dr: Is being an "empath" a real thing?

bros, I've seen this word thrown around on the Internet, and my coworker says she's an empath. She says that she feels the emotions of the person she's talking to and feel when they're in physical pain. To me, this sounds like some bullshit with little more basis in reality than astrology, but I'm giving this one the benefit of the doubt because I'm autistic and have never felt connected to other people. Is this a real thing that socially functional human beings can experience?

[Anonymous No.15913003]

>>15912075
Bumppppppppp

Does anyone know which book contain more these type of questions?

[Anonymous No.15913008]

i uploaded my FBIandMe dna data to codegen.eu and everything looked ok except for picrel. this is for genes associated with gout. left is bad, right is good. is codegen full of shit or should i be concerned?

[Anonymous No.15913040]

Question- if f(1) = 3
f'(1) = 6
In the solution the first step is-
Lim [{f(1+x)}/f(1)}]
x-->0

But not able to understand how they did this here ???

e^Lim [{f(1+x)}/f(1)}]
x-->0

Can anyone explain the steps inbetween here ?

[Anonymous No.15913077]

>>15912636
Exactly that. That is the state it is believed the earliest moments of the big-bang were like before the forces 'split'.

[Anonymous No.15913083]

>>15912913
Yes it's a real thing though I can't say it's very common. Some people are more empathic than others, that's normal. They can more easily understand the feelings and actions of others, and are better at noticing non-verbal tells - they may not even be conscious of that fact. An empath is simply someone who is hyper-empathic, they don't just understand someone's feelings, they might even have a sympathetic bodily response to them.

[Anonymous No.15913116]

>>15912139
^^^^^^^^^^^^^^^^^^
If it's important, it's Rochow's "An Introduction to the Chemistry of the Silicones." Is it okay to use it as a source of basic facts about silicon?

[Anonymous No.15913522]

>>>/wsr/1425451

[Anonymous No.15913525]

Can anyone find a picture for me of amosite (fibrous grunerite) that is in public domain?
Pic related is not in public domain. And also give source.

[Anonymous No.15914260]

>>15912913
it's just psychos and narcissists painting themselves in a positive light

[Anonymous No.15914374]

>>15900685
What are your genuine revommendations for treatments/supplements/etc that both substantially and permanently increase IQ? I am tired of being stupid and having poor/slow cognitive function and generally laggy decision making.

[Anonymous No.15914376]

So if codons are a combination of three or so DNA bases. Amino acids are formed depending on the codon, and proteins are chains of amino acids. Is this right? If so, where do chromosomes fit into all of this?

[Meac No.15914416]

Could it be used to warp
https://www.youtube.com/watch?v=DAsn1Yf44Ao

[Anonymous No.15914595]

>>15914374
Eat healthy and exercise, that's it.

[Anonymous No.15914614]

Truly a stupid question but, when doing arithmetic with significant figures, do you round from the proximal digit or all the way from the end?

If you did a calculation to two significant figures and got, say, 41.49, would the answer be 41 (because 4 rounds to same) or 42 (because 9 rounds 4 up to 5, and 5 rounds to nearest even number)?

[Anonymous No.15914622]

>>15914595
Doesnt increase iq or cognitive function /fit/ard

Just take lions mane and microdose magic mushrooms

[Anonymous No.15914626]

>>15914614
Do not round anything less than 5 up

[Anonymous No.15914629]

>>15909826
I would look it up in a table of sums

[Anonymous No.15914631]

>>15908818
Convolution is taking one function and you kinda multiply the second function by the first at each point and add it up. It's a bit convoluted. gl!

[Anonymous No.15914638]

>>15914626
But which digit do you start at, the one most proximal to the significant digit or the end of the string?

[Anonymous No.15914641]

>>15914638
>most proximal
Do you mean closest? Not sure what you're asking.
If you have 41.49 and you're rounding to the nearest whole number then the nearest is 41, because 49 is less than 51. It also means if you round to the nearest tenth (41.5) and then round again to the nearest whole number (42) you have accuracy losses, so try to only round once

[Anonymous No.15914645]

>>15914641
>Do you mean closest?
Yes

>It also means if you round to the nearest tenth (41.5) and then round again to the nearest whole number (42) you have accuracy losses, so try to only round once

Thanks, I wasn't sure if this would be changed by the latter digits being insignificant/the precision being illusory

[Anonymous No.15914807]

How bad is it to eat dandruff?

[Anonymous No.15914824]

Yesterday I ate self heating spicy snail noodle (ordered from China), drank all the spicy soup. Same day I deboned quarter of a raw chicken and cooked ginger chicken.

Yesterday night I started getting runny nose, and my nose is still very runny today. I emptied two boxes of tissue since yesterday just to wipe the non-stop fluid from my nose.

What cause the runny nose? Chinese noodle or raw chicken or ginger? I suspect it's the raw chicken. What do you think?

[Anonymous No.15914920]

>>15912837
Observer height, sure. Though it depends if you're accounting for visibility conditions too - though these would be variable and probably outside the scope of your question.

[Anonymous No.15914923]

>>15912913
I wince when I imagine painful injuries, and also when I see people with what appear to be painful injuries. I don't feel pain per se but there's some sharp mental sensation.

I've never considered myself an empath tho bc I'm fairly low charisma. But I can read faces and body language quite well - women are very unsubtle.

[Anonymous No.15914931]

Is there a material that is transparent from UV to FIR light?

[Anonymous No.15914959]

What do you guys do to unwind after reading/studying? I normally go on YT and 4chan but I'm getting tired of filling my brain with this content slop

[Anonymous No.15914964]

>>15914959
I just go to bed early.

[Anonymous No.15915019]

>>15914376

[Anonymous No.15915262]

>>15914959
You could read fiction or play an instrument.
Play a card video game, or message/meet people you know

[Anonymous No.15915267]

>>15914622
No, but inactivity does worsen iq, cognitive function and learning. It also accelerates the cognitive deterioration you see with ageing.

[Anonymous No.15915270]

>>15914374
Do cognitively challenging things, and a wide variety of them. Especially those which build upon existing skills or have a progression to them where graduating an earlier skill leads to the capacity to take on a new layer.
Maths is a very good example of this.

[Anonymous No.15915279]

>>15911862
>deeply religious
You're wasting your breath; just cut them - honestly.
I've had people convert on me and they've become completely irrational and retarded on well established truths.

It's good you've come around on evolution, though.

[Anonymous No.15915340]

>>15914959
coom

[Anonymous No.15915416]

>>15900685
does eating food with preservatives make me live longer?

[Anonymous No.15915537]

If I parametrize gabriel's horn [math]G[/math] as follows: [eqn]G = \Phi([a,b] \times [0, 2pi)[/eqn] where [eqn]\Phi(t, \alpha) = (cos(\alpha)/t, sin(\alpha)/t, t)^T[/eqn] and do the usual thing to calculate the surface area I get [eqn]\sqrt{\det(D\Phi)^tD\Phi} = \frac{t^4+1}{t^6}[/eqn] so the surface area would be [eqn]2\pi \int_a^b\frac{t^4+1}{t^6}dt[/eqn] which is obviously wrong. Why doesn't this work? Is my parametrization wrong? What did I fuck up?

[Anonymous No.15915703]

>>15915537
Your parametrization is correct but your calculation of the cross product and then the magnitude is clearly very wrong. It should be [math]\dfrac{1}{t}[/math].

[Anonymous No.15916017]

Do people from different regions have different sized eyeballs? I've have friends and know people from all different places and I notice some people even in the same age range have eyes that just look massive compared to others I know, and I'm not referring to the Eyelids and Pupil size but how large their eyes look overall as well as some eyes looking flatter overall leading me to believe they have larger eyeballs than others. When I look it up I only find articles telling me about diseases or just saying they're all the size of a Ping Pong Ball.

[Anonymous No.15916126]

>>15916017
>Do people from different regions have different sized eyeballs?
Yes, obviously.

[Anonymous No.15916198]

what smelly chemical could cheap toilet paper be made out of?
>>15916190
>>15916190

[Anonymous No.15916333]

what if everyone is actually a stupid retard?

Even I'm a stupid retard cause I had the perfect set of scenarios to think everyone else is a stupid retard.

I am astounded by how stupid and retarded I am.

I should have been able to change things.

[Anonymous No.15916429]

How many solutions does the system of equations |x| + |y| = 1, x^2 + y^2 = a2 possess
depending on ‘a’?

(A) if |a| < (15/16) (10)^1/3
(B) 2 if |a| > - (15/16) (10)^1/3
(C) 4 if |a| = - (15/16) (10)^1/3
(D) 1 if a = -(15/16) (10)^1/3

What does it even by depending on a?
Wtf ? Help

[Anonymous No.15916431]

>>15916429
Edit it's a^2 not a2

[Anonymous No.15916437]

>>15916429
Try plotting those solution sets.

[Anonymous No.15916442]

>>15916437
Forms a square, and circle

But what does it mean by dependent on a ? I have never solved a quadratic problem like this
How did you approached this problem ?

[Anonymous No.15916549]

>>15909826
Without the n! on top, it looks like (A^k)*e^A.
To put the n! back in, integrate (Ax)^k * e^(Ax) * e^(-x) from 0 to infinity.

[Anonymous No.15916666]

>>15916429
Bump

[Anonymous No.15916880]

>>15911862
>to me it seems obvious.
That's like saying five pictures of the pool table prove you really pulled off an amazing trick shot. If you're not predisposed to believe it's true the argument, on its own, is shit.
Evolution isn't true because of one single central piece of evidence you can argue for in five minutes that's able to convince even the most confident flat earther, evolution has loads and loads and loads of evidence. It takes time.
>>15912131
>I didn't believe in evolution either and now I'm starting to open my eyes about this whole branch of science.
Are you actually twelve?

[Anonymous No.15916932]

>>15916198
There are chemicals used in cellulose based products that prevent them from rotting - increasing shelf life.
I don't recall the name but if the manufacturer has overdone it a bit, this could be your cause. Uncertain if it is typically volatile enough to be smelt, mind. I might suggest check if it is scented, and if not then emailing the supplier with the batch no'

[Anonymous No.15917017]

Best way to take math notes on a computer? Do you use a certain text editor, or a certain LaTeX plugin in one? I have no personal preference or anything. Sometimes copypaste isn't enough with some books as they give you gibberish characters.

[Anonymous No.15917037]

I want to learn more about astrophysics. I've basically hit the limit of where educational YouTube channels can take me. What textbook does /sci/ recommend?

[Anonymous No.15917050]

>>15916429
>What does it even by depending on a?
That statement only holds true for some values of a. if we pick a=2, for example, then there is clearly no solution
You forgot to put an actual number in for answer (A), but I don't think that you'd need to even graph it out. One of these answers is completely incoherent, one is obviously wrong since you're working with quadratics, and one is too broad to possibly be correct

[Anonymous No.15917170]

>>15917017
Probably Obsidian with certain plugins, Markdown is less tedious than latex

[Anonymous No.15917256]

>>15915267
Can healthy lifestyles and habits as you said actively reverse the damage done to my brain or is it more along the lines of preventing further damage down the line?
>>15915270
Thanks for the response anon.

[Anonymous No.15917261]

>>15900685
I need a catalog for specifications, weight and dimensions of flywheels, startermotors, and crankshaft of all (or whatever available data you have) for toyota sedan models

[Anonymous No.15917272]

>>15917261
>>>/o/

[Anonymous No.15917288]

>>15900685
Im struggling to answer this question. I've tried to "solve the three unknowns" method but it resulted to infinity solution. Here it goes:

Solve for the rational and positive unknown number "x" using the following two conditions:
i.) square the number plus 5 is equal to a perfect square (p^2)

x^2 + 5 = p^2

ii.) square the same number minus 1 is equal to another perfect square (q^2)

x^2 - 1 = q^2

[Anonymous No.15917293]

>>15917288
The list of squares quickly grows so that the distance between squares is more than 6, so you only have a small number of cases to try

[Anonymous No.15917295]

>>15917288
i believe theres no solution.

[Anonymous No.15917296]

>>15917293
Thanks for that tip. By brute force guessing and substitution, I found out x = 1.25 satisfies both conditions.
I need now to figure out the formal computational way how to come up with that answer.

[Anonymous No.15917298]

>>15917296
>x = 1.25
are p and q supposed to be integers?

[Anonymous No.15917302]

>>15917298
not needed to be integers. It only needs to be positive and rational

[Anonymous No.15917307]

>>15917298
> perfect square
> not necessarily integers
It feels kinda weird how it was phrased that way. I swear perfect squares needs to have whole numbers. I dont know if my instructor is bullshitting me with that question

[Anonymous No.15917319]

>>15917288
x^2 + 5 = p^2
5 = (p-x)(p+x)
So either p-x=5 and p+x=1 or p+x = 5 and p-x=1.
The other problem works the same.

[Anonymous No.15917494]

where did the reccomended book list from the sticky go?

[Anonymous No.15917556]

>>15917170
Nothing wrong with latex, it's just verbose.
Any editor that supports auto-expanding snippets should work great.

[Anonymous No.15917701]

I want to learn about sequences fast.
any resources?

[Anonymous No.15917709]

>>15917307
> I swear perfect squares needs to be whole numbers
They do. It's why the question makes no sense unless the answer is there are no solution.

[Anonymous No.15917801]

In the solution to [math]\frac{d^2y}{dx^2}+k^2y=0[/math]
are these equal solutions
[math]y=A\cos{kx} + B\sin{kx}= C\sin{(kx+\delta)} [/math]?
How does the cosine get absorbed by the delta?

[Anonymous No.15917809]

>>15917801
Sum formula for sines/cosines.

[Anonymous No.15917810]

>>15917801
Think about it qualitatively.
What do the sine and cosine terms on the LHS have in common?
>same phase
>same period
What do they have different?
>different amplitudes
>cosine is an even function
>sine is an odd function
Add the Taylor expansions of A sin(kx) and B cos(kx). What do you get?

[Anonymous No.15917814]

>>15917809
that only applies if A and B are less than 1

[Anonymous No.15917819]

>>15917814
Factor out [math]\sqrt{A^2 + B^2}[/math] then
[eqn]\frac{|A|}{\sqrt{A^2 + B^2}} \leq 1 \\
\frac{|B|}{\sqrt{A^2 + B^2}} \leq 1[/eqn]

[Anonymous No.15917835]

>>15917819
also, if cos(delta) is something, then sin(delta) can't be any value. for example, if A=1, and B=0.5, there's no angle delta that it's cosine is 1 and its sine is 1/2 at the same time

[Anonymous No.15917856]

>>15917835
The sum of squares have to be equal to 1. This >>15917819 fully solves this issue.

[Anonymous No.15917865]

>>15917856
thanks

[Anonymous No.15917993]

>>15917256
>reverse the damage done to my brain or is it more along the lines of preventing further damage down the line?
Both. Surprisingly, the brain benefits an awful lot from the body doing exercise.

Further:
Avoid alcohol - it is literally a poison to your body
Avoid smoking - nicotine improves cognitive performance temporarily but the health effects of smoke inhalation far outweigh this
Get sufficient vit D and omega 3. If you live further north than Portugal then you probably don't get enough vit D in winter months from the sun. This is obviously even worse if your skin is constantly covered or you spend a lot of time indoors
Be social - contrary to the savants of this board, social play is exceptionally important to cognitive ability

You can listen to Andrew Huberman for his neuroplasticity takes.

[Anonymous No.15918190]

>>15917050
But how can we plot graph for these type of fraction value ? And mod ?

[Anonymous No.15918218]

>>15900685

Who is this semen demon?

[Anonymous No.15918219]

I'm relearning maths, currently finishing up on arithmetic. Should modular arithmetic come next or do I go Algebra?

[Anonymous No.15918240]

>>15918190
>But how can we plot graph for these type of fraction value
in general, [math]t ^ {\frac { 1 } { s } }[/math] is the same thing as [math]\sqrt[s]{t}[/math], but denoting all possible values rather than just the principal root like the latter does
>And mod
Just... plot both [math]t[/math] and [math]-t[/math]? Simultaneously?

[Anonymous No.15918242]

>>15918190
>>15918240
well assuming that "mod" meant "modulus", which is less natural an interpretation overall but one that's actually relevant to your question
if for some reason you meant "modulo" then you just... move back to zero every so often

[Anonymous No.15918387]

>>15917993
Thank you.

[Anonymous No.15918552]

>>15917701
Rudin

[Anonymous No.15918565]

>>15906595
It’s really m not unreasonable for an analysis book to assume familiarity with manipulations of absolute value

[Anonymous No.15918567]

>>15906730
Topological definitions are equivalent to metric definitions in your question, so simply understand that relationship; i.e. epsilon balls are open and Union commutes with preimage etc

[Anonymous No.15918568]

>>15908033
Repeated exposure is really important, you don’t need to get everything first pass

[Anonymous No.15918586]

>>15917701
Amann/Escher

[Anonymous No.15918643]

If the world is made up of things that both exist and don't exist until examined, how can the world exist and be seen? Wouldn't that, the world being seen, mean such things definitely do exist and checking if they exist actually just checks "where" that object is in any given instant of checking?

[Anonymous No.15918688]

>>15918240
Forms a circle, tried plotting solutions. No clue yet, I do have the solution but it just form a circle intersecting and square and and I am not able to see how it goes well ?

[Anonymous No.15918702]

>>15918688
the circle is what you should expect for anything of the form x^2+y^2, and the square is what you should expect for anything of the form |x|+|y|.
You have a solution when the square intersects the circle. The question gives you a value of [math]a[/math], which is the radius of the circle, and wants you to figure out what values of [math]a[/math] even permit a solution to begin with, and how many solutions they permit.

[Anonymous No.15918855]

I have the following puzzle where the question mark is the missing number, however, for the life of me I cannot figure out the pattern the data has. For one thing, the sums of first and third columns are both prime numbers so maybe the sum of second row also has to be a prime, however I'm not sure of that and there's infinite number of possible primes the column could sum up anyway so it's not much help.

[Anonymous No.15918858]

>>15918855
It's 53.

[Anonymous No.15918864]

>>15918858
What is your reasoning?

[Anonymous No.15918865]

>>15918864
It was revealed to me in a dream.

[Anonymous No.15918869]

>>15918865
Yeah, that does not help me at all.

[Anonymous No.15918880]

>>15918855
>2 3's is 3x3=9
>5+1=6-1=5
>6+2=8 with another 2 so you don't forget
it's 34 or 43

[Anonymous No.15918906]

Is it right to always call emittor and collector of a bipolar junction transistor input and output, respectively? If not, when not?

[Anonymous No.15918996]

A group [math]G[/math] is solvable if it admits a finite sequence [math]1 = G_0 \lhd G_1 \lhd \dotsm \lhd G_n = G[/math] s.t. each [math]G_{i+1} / G_i[/math] is abelian.

Let [math]\mathcal{C}[/math] be the smallest class of groups which contains all abelian groups and is closed under extensions, by which I mean that whenever [math]N,Q \in \mathcal{C}[/math] are groups and [math]1 \to N \to G \to Q \to 1[/math] is a SES then also [math]G \in \mathcal{C}[/math]. (A smallest such class exists because the intersection of classes which are closed under extensions is also closed under extensions.)

Is [math]\mathcal{C}[/math] equal to the class of solvable groups?

[Anonymous No.15919230]

>>15918906
> both answers are equally correct
well done, your bait has worked. that pic made me seethe.

[Anonymous No.15919350]

>>15900685
If I want to end up with 140bpm (beats per minute) at 24fps (frames per second), how fast should the music play when shooting at 16fps?
Context: Shooting a 1920 impressionist music video & want to emulate that jerky sped up motion effect

[Anonymous No.15919369]

>>15918702
Ok thanks

[Anonymous No.15919387]

Question- How many real roots the equation have ?

{X + 1/X}^3 + {X + 1/X} = 0

My try -

X + 1/X = t

Then the above equation can be written as t^3 + t = 0

Which can be factored into
t(t^2 + 1) = 0

Now I tried t = 0 or t^2+1 = 0

t^2 +1= X + 1/X = X^2 + 1/X^2 + 3= 0
{No real roots here}

Or
t= X + 1/X = 0 which would give
Which would give X = -1 and hence the equation would have one real root

But the answer mentions 0 real roots ? Where am I going wrong ?

[Anonymous No.15919417]

>>15919350
2/3*140

[Anonymous No.15919420]

>>15919417
wow, I'm a fucking idiot
thank you

[Anonymous No.15919427]

>>15919387
>Which would give X = -1
might want to double check that

[Anonymous No.15919455]

>>15919387
[eqn] \left(x + \frac{1}{x} \right)^3 + x + \frac{1}{x} = \frac{(x^2 + 1)(2 x^2 + \sqrt{5} + 3) (2 x^2 - \sqrt{5} + 3)}{4 x^3}[/eqn]
The polynomials in the numerator have negative discriminants so there is no real root.

[Anonymous No.15919894]

>>15919427
Oh yeah that would be (-1)^1/2 which would be give a complex solution

But is my method right ?

[Anonymous No.15920826]

Is there a non-calculus way to show that the surface area enclosed by this infinity symbol shaped graph is exactly one?

[Anonymous No.15921321]

All right, so I need to integrate the area under a triangle. Photo related, but essentially there's a line with slope k-r from 0 to t, and then a line with slope r from t to T. When I integrate, I get:

t(t-2r) / 2 for the first one and T^2 - t^2 / 2 for the second. Then I just add them up and get T^2 - 2rt / 2. That's great, but the answer is supposed to be Tt(k-r)/2. What am I doing wrong? Pic related.

[Anonymous No.15921370]

>>15921321
>t(t-2r) / 2 for the first one
Question you should be asking yourself immediately: What happened to the k?

[Anonymous No.15921379]

>>15921370
Well, it goes away, doesn't it? It's a single variable, so it just becomes a constant that we can disregard.

[Anonymous No.15921391]

>>15920826
>non-calculus way
Don't be ridiculous

Anyway to show it using calculus, just use polar coordinates
r^2 = cos 2x
dA = dx (1/2) dr^2
This only makes sense for -\pi/4 < x < \pi/4 and 3\pi/4< x < 5\pi/4, corresponding to the two lobes. Let's only integrate over lobe 1, and multiply by 2.

[math] A=2\int_1 dA = \int_{-\pi/4}^{\pi/4} dx \int_0^{\cos{2x}} dr^2=\left[ \frac{\sin 2x}{2}\right]_{-\pi/4}^{\pi/4} =1[/math]

[Anonymous No.15921392]

>>15921379
Not entirely sure what you mean by that, but you're not supposed to treat it any differently from the r in that very same expression, which is also a single variable that's constant relative to your integrand.
Also not sure where you got the factor of 2 from.

[math]\int_0^t (k-r) x dx = (k-r)\int_0^t x dx = (k-r)\frac{t^2}{2}[/math], which is what we should expect (it's a triangle, so bh/2, where b=t and h=(k-r)(t))

[Anonymous No.15921398]

>>15921392
huh. Thanks. I just did a standard integration without considering the bh/2. Thanks.

[Anonymous No.15921400]

>>15921392
Actually, wait. Why is it with respect to x? We're changing t, not x..?

[Anonymous No.15921411]

>>15921400
> We're changing t
No you're not. Look at your picture again.

[Anonymous No.15921416]

>>15921411
Are you saying that t and T are just values of x? They are, aren't they? Son of a bitch, I'm retarded. Thanks.

[Anonymous No.15921521]

>>15920826
>infinity symbol
its called a lemniscate of bernoulli

[Anonymous No.15921542]

>>15921391
But if the area is so simple (it's just one unit) then you would think that you would not need anything advanced like calculus to solve it. At least that's what I thought.

[Anonymous No.15921580]

>>15921542
> if the area of a shape is 1, you can prove its area without calculus
Why?
> if you need calculus to prove an area's shape, the area can't be 1
Is this really what you believe?

[Anonymous No.15921582]

> area's shape
Shape's area. A little transposition in my contraposition

[Anonymous No.15921598]

>>15921580
Because why you need complicated math to find out something is just one

[Anonymous No.15921653]

>>15921598
> [math]e^{i \pi} = -1[/math]
> [math]\cos{0} = \sin{\pi/2} = 1[/math]
> [math]\int_{-\infty}^{\infty} \frac{e^{-x^2}}{\sqrt{\pi}}\ dx = 1[/math]
Your argument is kind of silly and illogical.

[Anonymous No.15921676]

>>15921542
Ok I'll humor you. My evaluation of the area basically involved the area preserving map from the x,y plane to the r^2 angle plane, upon which your lobe shape becomes a hump of a sinusoid with area 1/2.

To find the area under a sinusoid without explicit calculus see this page:
https://girlsangle.wordpress.com/2013/07/31/why-does-the-area-under-one-hump-of-a-sine-curve-exactly-equal-2/

You could argue calculus is hidden in the fact that we know that the map is area preserving and that the area under a velocity curve is equal to the distance traveled, but I think this is as good as you'll get.

[Anonymous No.15922087]

What are theoretical properties of strange matter?

[Anonymous No.15922585]

>>15900685
Is it possible to write a 10 page (bachelor) paper in 2 weeks? I am pretty fucking swamped with other modules, one in particular. The prof in this one is the type to shaft you with homework then gaslight everyone who says it takes too much time. Now I'm getting worried whether I'll ever finish the paper ffs.

Subject has to do with STEM (CS).

[Anonymous No.15922854]

Alright, I need to find the density function of a Gamma distribution with parameters (N, 1/theta)(say X) , but the kicker is the shape parameter itself is a random variable N, independent from X, with the following distribution.
Wat do ?

[Anonymous No.15922900]

>>15922854
You have a density of [math]N[/math], I'll call it [math]f_N[/math]. You also know that [math]X|N[/math] has a Gamma(N,1/theta) distribution, so you also have the density [math]f_{X|N}[/math].
Multiplying these you can find [math]f_{(X,N)}=f_{X|N}f_N[/math] and `integrating' out N you can find [math]f_X[/math].

[Anonymous No.15922904]

>>15922900
damn, and I had that formula under my eyes the whole time lol, huge brain fart, thank you very much man

[Anonymous No.15922910]

umm... mathsbros? I can't for the life of me figure this out...

I thought the smaller interval is always a subset of the larger one and so their intersection is always the smaller one and their union is always the larger one and so 2-6 are ALL topologies.

[Anonymous No.15922918]

>>15922900
>>15922904
so I'll end up with an infinite sum of
f(X)*p(N=n) with X Gamma(n,1/theta) right ? (sorry I never learned LaTeX)

[Anonymous No.15922943]

>>15922910
Most of these are not closed under infinite unions.
For (iii) you can take a strictly increasing sequence of rationals converging to an irrational number, and take the union.
For (iv) you can take a strictly increasing sequence of rationals converging to 1.
For (v) you can take a strictly increasing sequence of irrationals converging to a rational.
For (vi) you can take a strictly increasing sequence of irrational numbers converging to 1.

[Anonymous No.15922961]

>>15922943
>not closed under infinite unions
ah, this infinite union business stumped me before too.
I don't know how to check if infinite unions are ok. What you did never came to mind.

Also does doing these questions really help with learning topology? It doesn't feel like I'm building up any intuition for topology.

[Anonymous No.15922974]

>>15922943
Also, can't you use the answer (iii) for (iv), and (v) for (vi)?
I don't see why they need to be different

[Anonymous No.15923213]

Am I correct in saying that area which I've marked is equal to 3pi/4 -2?
the circle equations is just an unit circle with a radius of 2 and the cardioid is r=2(1-cosθ)

[Anonymous No.15923222]

>>15922974
They're very similar and I'm sure you could be more economical.

>>15922961
It's just something to check. We require those properties from a topology because we know them to be true for `normal' open sets in R, and we want a topology to have a similar role to these sets.
Because unions of closed sets can be open, that should alert you (intuition) for (iv) and (vi), and because neither the set of rationals nor irrationals are closed under limits you probably should be extra careful for (iii)-(vi).

All of these things should build intuition, yes. It takes a while.

[Anonymous No.15923223]

>>15923213
the integral i made was basically [math]\int_{0}^{\pi/2} 1-cos\theta \, d\theta [/math]
because if were calculating sector area 1/2 * 2 =1 .

[Anonymous No.15923336]

>https://en.wikipedia.org/wiki/Countable_set
>In mathematics, a set is countable if either it is finite or it can be made in one to one correspondence with the set of natural numbers.
Well shit, how many natural numbers are there? Count them and let me know
>https://en.wikipedia.org/wiki/Clopen_set
>In topology, a clopen set (a portmanteau of closed-open set) in a topological space is a set which is both open and closed. That this is possible may seem counter-intuitive, as the common meanings of open and closed are antonyms, but their mathematical definitions are not mutually exclusive.
I hate this bullshit, why do they take well-defined words and use them to describe mathematical concepts in a way that only makes sense if you change the definition of the words?

>Riemann zeta function
it is a function
first defined by Riemann
and there had to be some way to tell it apart from other functions so he picked a letter from a non-latin (!) alphabet
>fuzzy logic
it is a system of reasoning (logic)
where truth values are between 0 and 1, instead of being either 0 or 1 as in classical logic, and this can reasonably be described as 'fuzzy'

see how easy that was???

[Anonymous No.15923445]

>>15922087
>strange matter
Do you mean matter involving a strange quark rather than just up and down? Despite the name, there isn't a whole lot interesting about the strange quark that would appeal to laymen. As far as the strong force is concerned all flavors of quarks act the same way

[Anonymous No.15923452]

>>15923213
nvm

[Anonymous No.15923505]

Let [math]C_\alpha[/math] be a cone based on the origin with opening angle [math]0<\alpha<2\pi[/math]. Is the maximum distance between [math]B_{1/2}(0)[/math] and [math]\partial B_1(0)\cap C_\alpha[/math] equal to [math]3/2[/math] in a arbitrary integer dimension? This seems obvious for $1,2,3$ but what about proving it for higher dimensions?

[Anonymous No.15923609]

y" = y
why can't I solve this bullshit integrating twice, yes I know the solution, I have like ten ode books, but none explain what is really going on.
For y' = y this solution is pretty straightforward from one integration y = c exp(t)
But for y"=y the first integration results in a nonlinear ode
ln |x| dx = (t + c) dt
which results in an implicit function far from the expected result if integrated. What gives?

[Anonymous No.15923717]

>>15923609
>ln |x| dx = (t + c) dt
This is nonsense. It looks like you are trying to extend the trick
dy/dt = y -> dy/y = dt -> ln y = t+c
It doesn't make any sense to do that with second order differentials like d^2y (what does the integral over this even mean?)

If you want to do something like that, instead make a first order system

y' = v
v' = y

then
dv/y = dt = dy/v, which implies v dv = y dy, or v^2 = y^2 +- a^2, with a^2 an arbitrary constant, which may have either sign.

Now the equation y'=v can be written
z' = sqrt{z^2+-1}
with z defined as y/a, and a is allowed to be negative, absorbing a possible sign of the square root.

Now doing the1st order ODE trick you get either

arcsinh(y/a) = t+b
or
arccosh(y/a) = t+b
depending on the sign of the +-1 in the square root. These two linearly independent solutions can be rearranged into e^{+t} and e^{-t}, with both a and b appearing in an overall constant factor.

[Anonymous No.15923824]

>>15923717
I get what you are saying and you're right, but what makes that I can solve y"=1 by simple integrating twice but not y"=y, theoretically, it is done in physics all the time, not that it is rigorous

[Anonymous No.15923827]

I've studied all of the actionlabs experiments. What is the next level up?

[Anonymous No.15923972]

>>15910007
photnos have a wave nature and intensity is the number of photons in a volume. so basically you're getting a bunch of waves cancelling or amplifying or interferring and you see the net result as color. more of one photon type will cancel/amplify/interfere more of another.

[Anonymous No.15924005]

>>15914374
clean sugar out of your diet, eat fewer hours during the day, take a lot of fish oil and drink a lot of black coffee. try and get a lot of low intensity aerobic exercise (talking pace).

a lot of your cognitive function might be impeded by shitty lifestyle. low level aerobic exercise helps increase blood oxygenation, higher intensities actually train the body to act without much oxygen, which is fine for muscle performance in certain thresholds, but doesn't increase the net oxygen to your brain.

[Anonymous No.15924008]

>>15914959
go out and meet people and learn to hate them. if you already hate them, learn to hate them more. or alternatively have fun. your choice.

[Anonymous No.15924018]

>>15917037
Everything after that is basically quantitative, so you're applying maths n shiet to come up with a result. so the next level for you involves solving equations and working through examples in a university text basically. maybe search around 'introductory astrophysics' or something like that. i have zelik and gregory on my shelf but i don't recall liking it very much. typically these books are intended to be part of a course rather than a complete and self-contained course for autodidacts. i don't know of anything like that unfortunately.

[Anonymous No.15924223]

>>15918996
Well one inclusion is obvious. For the other, if [math]N[/math] and [math]Q[/math] are abelian then [math]G[/math] is solvable by definition, I would start trying to prove that an extension of solvable groups is also solvable.

[Anonymous No.15924233]

>>15921542
>>15921598
>have a complicated shape, want to find its area
>rescale by its the reciprocal of its area
>its area is now 1
>prove that its area is 1 using the simple argument, which is guaranteed to exist
>scale back to normal
>now have the shape's area

[Anonymous No.15924236]

>>15922585
What are you asking us for? We don't know. It's possible for some people. Is it possible for you? Shouldn't you be working on it right now either way?

[Anonymous No.15924410]

>>15923824
Before I go to work, where 4chan is blocked, I'll leave another counter example.
y" = t is solved directly by double integration, in this case y is the dependent variable and t is the independent variable, y"(t) = t.
When y" = y or, more explicitly y"(t) = y(t), this can't be done, I get it that y is an implicit function of t, I want to know some theoretical reason why it can't be done directly, ode books are of no use.

[Anonymous No.15924411]

There is a bizarre statistical phenomenon I have observed
>be white
>be atheist
>be into getting cucked
Is it the Whiteness or the Atheism which draws the desires of cuckoldry or is it the whiteness which draws both?
And I don't mean the women side of the argument. I mean the kind of men who are content with their state of affairs.
If there is a correlation then there must be a real scientific explanation.
Atheism is most common among whites and so is cuckoldry. I won't say it's an excessive rate, but it's clearly proportionally higher.
This behavior is actually then most similar to chimpanzees, which are extremely promiscuous creatures.
Chimpanzees do not worship a god. Is it also mostly germanic europeans that are atheist and cuckolds.
Clearly Religion is a tool of evolution, but atheism and cuckoldry may be result of devolved traits, a reversal back towards lower being.
And just to note this is not be support organized religion. I'm a Catholic and I fucking hate the (anti)papacy.
I believe in a mathematical theory of God and the universe. No so dimwitted as a materialist scientist, but yet far more enlightened than the slave to institutionalism.
And most of all I think the punishment fitting an adulterous man or women is to be hung and all agents of entropy threaten universal harmony. Those absent of guilt are clearly absent of the most basic humanity which is necessary to prolong the human race and its welfare.
What are your thoughts as scientists and mathematicians, and why are asking these questions so taboo? Everything should be able to be understood scientifically and mathematically unless those institutions are made flawed by chaotic agents.
And I'm a nice guy, I don't think low IQ people should be executed, but they just shouldn't have as many rights as the superiorly minded. Clearly higher intelligence can operate morally in a more cogent manner, given they must have moral aspirations, as well all ought to, or so said Christ my teacher.

[Anonymous No.15924476]

Why do people kiss each other?
isn't that kind of gross and unsanitary?
But it's an ancient custom, but it's just gross and weird.

[Anonymous No.15924547]

>>15900685
How do I make a code block to share a computer program written in java?

[Anonymous No.15924548]

>>15924547
step 1: go back to /g/
step 2: fuck off
step 3: ???
step 4: profit

[Anonymous No.15924555]

>>15924548
I want to post the Collatz Conjecture code I wrote so I can argue with people about the Collatz Conjecture. I figured out how to make the Collatz Conjecture go backwards.

I would have done this yesterday, but a /sci/ janny rudely all boards banned me for 24 hours for maidposting.

[Anonymous No.15924562]

>>15924555
>Collatz Conjecture
No one cares

[Anonymous No.15924568]

>>15924562
You might not care, but I think Collatz is interesting and I'm not the only one. I just want to post small example code in an easily readable way.

I guess I could always typeset it in a PDF and upload the PDF, but that seems excessive.

[Anonymous No.15924898]

>>15924411
>Atheism is most common among whites and so is cuckoldry. I won't say it's an excessive rate, but it's clearly proportionally higher.
i would imagine that the japanese have a higher rate of atheism.

[Anonymous No.15924901]

>>15923824
You can integrate y''=y twice it just won't solve the equation because y(t) is an unknown function. In your other examples 1 and t are known functions of t, so integrating twice gets you something

To be clear, you can rewrite the equation like
[math] y(t) = \int^t \int^{t'} y(t'') dt'' dt' [/math]
but it doesn't make any progress towards solving the equation whereas if the right hand side is a given function of t you can.

I don't know what more you want. If you want to use the non-rigorous trick using 1st order differentials that works for y' = y, I showed you how to do it correctly with y''=y.

[Anonymous No.15924946]

>>15900685
Testing lstlisting with mathjax.
[math]
\usepackage{listings}
\begin{lstlisting}[language=Java]
public class HelloWorld {
public static void main(String[] args) {
System.out.println("Hello world!");
}
}
\end{lstlisting}
[/math]

[Anonymous No.15925142]

>>15924901
Appreciate your help

[Anonymous No.15925216]

>>15900685
How does matter know what the laws of physics are in order to follow them?

[Anonymous No.15925271]

>>15924898
There are much more whites then there are Japanese.
It is an interesting case study. What lead a traditionally religious people towards largely secularism?

[Anonymous No.15925307]

>>15925271
their whole way of life was kinda uprooted during the second half of the last century, for better or worse.

[Anonymous No.15925343]

>>15925216
The laws of physics are a human invention, they are our best attempts at describing the universe. They are completely separate from the universe itself.

[Anonymous No.15925398]

>>15925343
If the laws of physics are a human invention, why do real objects act in accordance with them?

[Anonymous No.15925413]

>>15925398
You have it back to front. Objects change, we write some math to describe that change.

[Anonymous No.15925423]

>>15925413
Real objects really act in regular ways. We call these real regularities laws of physics. Laws of physics are clearly real.
The question of why real objects act in accordance with these real regularities, AKA laws of physics, is unanswered.

[Anonymous No.15925448]

Why do late stage roidheads take insulin? I know that it's the most important anabolic hormone of our body, but I'd like to know in what way it promotes muscular development when introduced in an exogenous way.
I know it's a stupid question but I just finished reading "Anabolycs" by William Llewellyn and I don't recall insuline being mentioned.

>inb4 Steroids are bad you retard
I know very well, I am just genuinely fascinated by the topic.

[Anonymous No.15925552]

>>15925448
Well in a lot of cases I would imagine it's because they're becoming resistant to it and need more.

[Anonymous No.15925561]

i forget to take my medication quite often but i always have breafast
can i disolve my lithium in water and bake a lithium loaf so i always take my lithium?

[Anonymous No.15925784]

>>15925552
They're not doing it cause they're diabetic, they're abusing insulin illegally like their steroid usage.

[Anonymous No.15925970]

>>15925552
>>15925784
>Insuline abuse
Ok, and what benefits for muscular development does Insulin brings? Why can't they just stick to the usual androgenic stuff? There's plenty of choices. Let's say that I regularly workout natural , I am not diabetic and I've never done gear before but for some reason tomorrow I decide to inject insulin in my body, what will happen to my muscles? And what will happen on a molecular level?

[Anonymous No.15926267]

How on earth do you solve it? Found this problem from finnish 4chan

[Anonymous No.15926294]

>>15926267
I didn't double check this but it should work fine mod some off-by-one errors maybe.
If it is optimal to jump at some stage n, it is also optimal to jump at stage n+1 (I think this is obvious).
So, the optimal policy will be something of the following form: chance until you are in some stage >= k and from then on only jump till the finish line.
The expected number of coins used to get into a stage >= k is then [math]\frac{100}{101-k}[/math] and the expected number of coins used to get to the finish line from that point on is [math]\frac1k \sum\limits_{i=k}^{100} i = \frac{5050}{k} - \frac{k-1}{2}[/math].
Adding this up and minimizing over k I find it's optimal to chance until you are in stage >= 91 and jump then, for about 20.49 expected used coins.

[Anonymous No.15926303]

>>15926267
>>15926294
Whoops, it's wrong.
There's the stages k, k+1, ..., 100 you can land in, with a probability to end in this region of A / 100, where I denote A = 101-k.
Then the expected number of coins to end up >= k is 100/A.
From that point on, you have a probability of 1/A to end up in each of the stages k, k+1, ..., 100, and from each stage i you have to jump 100-i times.
So the second term should be [math]\frac1A \sum_{i=k}^{100} 100-i[/math] and solving the optimal k=87.

[Anonymous No.15926557]

>>15926303
very nice

[Anonymous No.15926647]

I can accept death but I am really attached to breathing. Will death be like always not being able to take a breath? Are our souls trapped with whatever amount of air was in us, when we died? Could it be like inhaling forever? That would be nice. It has to be something! How are we going to not breathe, when we take the dirt nap?

[Anonymous No.15926947]

>>15925970
They're mentally ill anon