Why is this true? I couldn't find anything on the net about this. Also, wolfram is crashing like a bitch.
what is X[n] brainlet? if X[n]=X[-n] and X[0]=0 then it's trivial
>>8939495
It's a generic function.
>>8939495
Also, X[n] has both its even and odd components.
Why wouldn't this scenario break the law of conservation of energy?
>You have a gun that shoot a bullet at 100m/s
>You can run forward at 5m/s
>You run at 5m/s and shoot the gun at the same direction you are running at
>The bullet goes 105m/s
Since: KE=1/2mv^2
Why does the kinetic energy that takes to run at 5m/s from 0m/s, also make something go from 100m/s to 105m/s when there is a squared relationship on velocity?
>>8939096
You are expending energy to move yourself, the gun, and the bullet forward. The bullet is moving 5 but from the point of reference of the gun it is moving 0. It then goes to 100m/s from that point of reference but in reality its going 105.
Unless I made a mistake, yes this is how it works. Remember, if we didn't use frame of reference then the numbers would be horseshit because of how fat Earth is moving through space.
>>8939096
>also make something go from 100m/s to 105m/s
it doesn't
the bullet is already moving at 5m/s when you pull the trigger
Mechanical Engineers, what questions did you get asked on interviews for your first job?
>>8939048
What made you choose the chaddiest major?
>>8939049
what did you say?
>>8939048
If you could have dinner with any celebrity, which one would you choose?
Lebesgue integration is a meme
>>8939018
Almost everything is a meme.
never heard of lebonese integration, is that in calc iv?
>>8939018
is this another "I don't understand infinitesimality" thread?
What makes spheres superior to other 3D geometry? Why are most object in the universe, suns, planets, moons, electrons, protons, neutrons, are all spheres? Why aren't there any 3 dimensional rhombus muon??
Gravity.
Gravity molds it into that shape
Gravity
What's a cool and simple thing I could show beginners in MATLAB?
>>8938368
magic(3) is always pretty cool imo
>>8938368
spy
Fourier transforms of images
are ellipses allowed when forming rules like this?
>>8938215
yes
It's a convenient shorthand for notating an arbitrary vector in [math]\mathbb{R}^n[/math].
If that seriously triggers you, you can treat [math](x_1, \cdots, x_n)[/math] as shorthand for a function [math]x:\{1, \cdots, n\} \to\mathbb{R}[/math] such that [math]i \mapsto x_i[/math]. Then the vector space [math] \mathbb{R}^n[/math] is simply the set of all functions with domain [math]\{1, \cdots, n\}[/math] and codomain [math]\mathbb{R}[/math].
(Personally I prefer this definition, since it generalizes nicely to infinite-dimensional vector spaces. It also makes a clear distinction between a vector space and its dual.)
>>8938226
>generalizes nicely to infinite-dimensional vector spaces.
how does this work past the first infinite cardinality?
Does/Can Negative mass exist?
I hope so
>>>/x/
Astrophysics is a fucking meme.
>>8938527
Everything is a fucking meme, do you even know what a meme is?
The every word in this post is an individual meme that exists the way it does because people agree to use it.
The entire English language is one giant meme cluster, science is a meme, religion is a meme, every political opinion is a meme.
This question is probably too elementary for /sci/, but I was hoping someone could enlighten me on how statistics works. I just don't understand how a sample can accurately represent a population.
Let's say they want to see whether Americans prefer apples or oranges. So they poll 1000 Americans with the question: What do you like better, apples or oranges? In the poll, 600 say apples and 400 say oranges.
So the headline is: "60% of Americans prefer apples to oranges". And I just don't understand this. There are 325 million people living in the USA. and yet it only takes 1000 to determine America's fruit preference? How does that make sense?
I understand the concept of random sampling. But it seems like human beings have so many variables that just sampling at random doesn't mean much. Especially in a country like the USA with vastly different cultural regions.
And also with polls, you're only getting the people who choose to participate. Probably many people refused. Is this not something worth considering as well?
It just doesn't make sense to me, to say the opinion of 1000 people can equal the opinion of 325 million. If that's the case, why even bother having elections? May as well pull 1000 random votes from the entire country and determine the president that way. I mean, same thing, right?
>>8937879
YOU STUPID ASS FUCKING PIGGOT, YOU OINKING BASTARD
why are you so narrow minded? it's all about probability and choosing a large enough sample that represents the larger population in such a good way that there are very high chances that that can be said about that small pool implies that the same thing can be said about the larger pool => the entire country.
What's so hard about this, you god damned pig?
>>8937879
In your case it isn't the statistics that is the problem--it's the headline. Statistically what we are saying is that we ESTIMATE 60% of Americans prefer apples.
We say this because this is all the information we really say (and from a more technical standpoint this would be the maximum likelihood estimate i.e. value of the binomial success parameter that maximizes the probability of having observed that particular sample).
What's more is that we can use this information to test hypotheses about more general statements-- Do more Americans prefer apples or oranges,etc.
In short, we can't say for certain that 60% of Americans prefer apples, but this is simply a good guess based on the information available that we can then use to make more general statements about the preferences among the general population.
Is there any way to reduce 5-HT1a receptor activity naturally?
to be inmortal and shit?
Why the fuck would u reduce it?
Here you go buddy. Search 5-HT. Just don't kill yourself.
https://www.bindingdb.org/bind/index.jsp
Is it impossible to contain an artificial super intelligence without turning it off?
>>8937597
Sure, just don't give it the ability to improve itself and don't connect it to the internet.
>>8937620
I wouldn't consider that very intelligent.
>>8937597
Does killing it count as turning it off?
If it is intelligent we could likely negotiate with it, so it is possible to contain depending on its motives and on the circumstances.
However, if it is suicidally hellbent on destroying humanity, then it would likely need to be turned off to contain.
Since an artificial super intelligence does not exist to use as example, the answer to your question will depend on whatever behaviors you feel the complex AI will follow.
how did the universe start?
>>8936764
the last one ended
>>8936764
A black hole. Black holes are sucking matter into themselves thus creating the flow of time. The temporal and material outflow is what creates another universe and forces it's increasing expansion rate.
>>8936764
jahwe means being and the universe is god so it always was
How do you go from proof to intuition in math? I can quite easily (most of the time) go from intuition to proof.
However, most of the time when I'm presented with a proof - while I can see that it's correct - I don't quite "grok" why. I don't intuitively see why. Is there a method to going from proof to intuition?
>>8936622
You can't, really. All you can do is try to prove it yourself, see what walls you find blocking your proof, and then read the proof you have to see how the author resolved those issues. Maybe that will illuminate the motives and inspiration of the author.
>>8936622
If there was, learning math wouldn't be as difficult as it is.
>>8936647
Its really this. You have to not only see the proof itself and its individual steps but why the particular mathematician used that step in the first place. You have to really get, initally, a broad overview of the game plan- so to speak. For example, this game plan for the proof of Stokes Theorem (not the generalized version) in certain contexts involves paramaterizations that make an application of greens theorem possible (assuming you have already proved greens theorem in the plane). Then once you see this motivation, you can go back to the nitty gritty of the steps of the proof to see how it all ties in. Drawing pictures or really just not writing math and instead imagining math helps.
Do you know where can I get nice notes about magnetic fields?
>>8936485
Your right hand.
>>8936486
This guy speaks the truth
I is the intensity
B the magnetic field
F the Laplace force
>>8936494
Amazing. It's as if our hand were intelligently designed to represent magnetic fields.
Post them boys
A dog
>>8936355
accept no substitutes
>>8936341
Sierpinski because why not