If an estimate of an integral is made with the trapezium rule where n = infinity, is the result mathematically equivalent to the integral of that function?
>>7944668
if the function is riemann integrable yes.
>>7944668
I want to say that looks like a nice pen but judging from the little splattering around the lettering i'm not sure
It's either running too much ink onto the page or you're writing on watercolour paper
>mfw OP has not taken Calc 1
>mfw OP accidentally(?) discovers the definition of an integral
'' okay today we shall find that ordinary air has a density of about 0.001 g per - cubic meter, while liquid air has a density of about 1.0 g per -cubic meter
estimate the number of air molecules per cubic meter in ordinary air, nG, and in liquid air nL.
estimate the mass m of an air molecule.
estimate the average distance l an air molecule should travel between collisions at normal temperature and pressure (NTP,20 C at 1 atm).
estimate what pressure p in normal atmospheres, a vacuum system should be operated in order that the mean free path be about one meter.
You should be able to solve this with ease young ambitious undergrads''
>>7944648
>okay today we shall find that ordinary air has a density of about 0.001 g per - cubic meter, while liquid air has a density of about 1.0 g per -cubic meter
Most people don't live in vacuum chambers.
>>7944687
i pulled this problem straight out of feynmans lectures, anyway to solve it ?
>>7944648
define air, define molecule, define distance, define collision, temperature, pressure
Why is space exploration so gay now
Will we ever see a resurgence of super huge super expensive projects that capture the imagination of an entire planet
>Why is space exploration so gay now?
because space organizations are not organizing in good coordination
all we need is a good leader,constant funding and more people to collaborate (even the general population should help)
>Will we ever see a resurgence of super huge super expensive projects that capture the imagination of an entire planet
probably would happen in 2036 when apophis is confirmed to crash into earth
>>7944316
>Will we ever see a resurgence of super huge super expensive projects that capture the imagination of an entire planet
First we'd need to start paying for them again.
>>7944316
Don't pretend it wasn't fucking gay back then.
Building giant penises that jizz fire doesn't sound all too straight to me.
So, the quaternions. I remember doing very little with them in my undergrad abstract algebra and that they came up in complex analysis in discussion once; but what fields actually use them?
Hehe, fields; pun intended. It's been 10 years since formal education for me; so the memory's not great.
>>7944163
that picture made laugh
i know i'm a loser
>>7944163
Quaternions are used often to describe rotations.
I've read a couple robotics papers dedicated to solving the Wahba problem via quaternions
>>7944163
rotations in 3d space.
I know they are used in 3ds max and such programs
If the derivative of f(x) exists for all numbers of the integer N, and f(x) approaches 0 when x approaches infinity, does the derivative also approach 0? Also, is there a rule or law that states this?
I know this very closely relates to l'hospital but doesn't quite fit
Nvm, lhopital rule on f (x)/x derives to f'(x)/1. So I guess f'(x) approaches 0 for any function with a growth slower than f (x)=x?
>>7943869
What a lhopital rule?
I know what L'Hôpital's rule is, though.
I would love a couple of answers on the topic of ophthalmology (precisely myopia) from anons familiar with this area, since I keep finding colliding info on Google.
>Is myopia only genetical and natural (by natural I mean you don't have to inherit it to still be born with the ability to develop myopia)?
>Does acquired myopia only happen in people who were already predispositioned to be able to develop it?
>Is continuous blurred vision from eye strain myopia in development or just a consequence of eye strain? (to rephrase, does eye strain develop into myopia, or does it merely manifest itself as myopia (blurred vision) and will go away once the eye strain is gone and eye vision in that case will return to its initial state)
>Can eye strain become permanent?
My parent is myopic, but I've never had vision problems (perfect vision) until recently when my eyes became strained and I don't know if that's my hereditary myopia showing just now or just a result of eye strain and my vision can return to the way it was.
-1/12
>>7943708
Refrain from posting memes in what is aimed to be a serious topic please. Thanks.
>>7943738
fuck you. What are you gonna ban me? I'm behind 7 proxies
https://www.youtube.com/watch?v=qRV1em--gaM
what is this and why do I smell bs
also femtosecond laser thread
>>7943448
Description is massively misleading. The interview loads up on gross simplifications.
You do not see the single photons fired. You see the effect of a fast wavefront propagating across the objects with the reflections.
That is still rather cool.
Also, what music is that?
>>7945297
then what is that glowing ball flying inside the bottle ? because i'm sure everyone who watches this is assuming that it's the photon particle itself.
Hello /sci/, amateur here.
I recently performed a water electrolysis experiment using a 12V battery, salty water, and a Gatorade bottle. My electrodes were paperclips.
I got an odd product from the reaction and I was wondering if any of you knew what it was.
As the paperclips began to oxidize, a green film seemed to leech off of them. I assumed this was the cheap shiny coating they got at the factory, and I let the current continue to flow until the paperclips broke (about 20 minutes). As the reaction occurred, I began to get a lot of heat and a convection current started flowing in the bottle. This caused the salty water, green stuff, and rusty colored stuff to mix. After it all settled, this is what it looks like. My main question, what is the stuff on the bottom?
To clarify, the blue ice cream looking stuff in the bottom of the bottle
>>7943307
a salt made out of the metal in the paperclips and chloride
>>7943312
Does it have a use? How can I learn more about what exactly it is?
Is being a captain on a Maersk ship a decent job for someone who lives in Romania ?
>>7942349
It depends on the salary
Id say any kind of job would be decent for someone from Romania
>>7942383
came here to post this
We are said to be 14 billion light years from the edge of our universe. I have been thinking about this idea and I know our point of view is not special... An observer at any point in our universe would see an edge at 14 billion lyrs. But I think if our universe is expanding, there must be an edge...where spacetime and stuffs come to be. Isn't it happening HERE and NOW?
>But I think if our universe is expanding, there must be an edge...
Not necessarily. Considered the surface of a balloon that's being inflated: it's expanding yet edgeless.
>>7939215
I think he meant "boundary."
>>7939211
There is no edge. Space is expanding into itself. Also, the edge of the observable universe is 46 billion light years away, not 14.
>some people that I've worked with in the past telling me to unironically drink Hydrogen Peroxide because it helps them
http://www.drinkh2o2.com/
Is this the new snake oil?
>Bathing: Use about 64 oz. (2 quarts) of the of 3% or 3.5% diluted hydrogen peroxide solution in a tub full of warm water. Do not try this before bedtime, because the absorbed oxygen energizes the body and prevents sleep. Soak in the bath for at least 1/2 hour. Add hot water to maintain bath temperature keeping pores and blood vessels dilated, facilitating absorption of oxygen through your skin.
wew
They were just telling you to kill yourself. Probably because you're an autistic fuck who doesn't get a hint.
>>7957119
At first that was the idea I had.
Then I realized they were serious.
What does /sci/ think about fusion power plants?
Will this technology solve all energy problems in the near future?
It really fascinates me since I'm about to finish my engineering degree and they offer jobs at Max-Planck-Institut for Plasma Physics.
>>7956799
Fusion solves nothing. Perhaps you need to stop being so delusional.
What do you mean? Because they'll never have success in their research? Sorry I'm not a scientist, I just started to learn more about fution power.
All the time "you can't get more out than you put in" is hammered into our heads but yet when it comes to fusion we're expected to throw that logic out the window.
It's a meme. Not viable
No luck on the other boards, thread deleted presumably for off topic, so I'm going to try /sci/, because it's kinda a medical topic...
>Help me guys, I'm trying to formulate a combination of medicines, supplements, and vitamins, for my sub to increase her submission and promote breast growth, sexual sensitivity, and general feminine enhancement.
>Where should I start, what do I need to buy, and in what dosages?
>>7955500
Also, check my dubs
>>7955500
lots of soy
Cyanide
what function could do something like this? (pic related)
it exponentially increases when it gets close to R but after it gets too close, it exponentially decreases
Gaussian distributions.
>>7954177
I forgot to say, the exponential decrease as to be much more faster than the exponential increase, is there any way to trunk a gaussian distribution for this?
>>7954171
Gaussian distribution, maybe you could say Lorentzian, but certainly not a function you learned in high school.
So what do you need this for in real life? :3
not telling :p
>>7952685
okay xD
>>7952682
Mother's and other retarded college students stuck in the algebra sequence pay me to do their online math classes/homework.
That's what I use it for. Kids pay me literally 10-20 bucks per ASSIGNMENT that takes me literally 30min.
Afterwards I get praised on how smart I am for knowing basic math. LOL