How do we stop common core?
Not an actal problem
>>8530485
>we stop
What do you mean by "we", Peasant?
Is knot theory related to topology and if so how closely?
BUMP !
>>8530389
it is a subfield of topology
>>8530389
Knot theory is a meme.
Studying knots isn't applicable in real life in any capacity. Everybody already knows how to tie their shoes.
Spoonfeed me on Bose-Einstein condensates, and what are the practical / military applications of it.
Bose-Einstein condensates are just atoms that have been cooled to close to 0K (I think the final temperature is measured in nK).
As far as I'm aware there are no applications outside research, where they are other used to study the quantum effects of matter.
>>8529901
They can be used to make acoustic black holes m8
>>8529901
where is that pic from? Search by image gets nothing.
I believe earth and other PLANE(t)S are 3D representations of 4+D objects.
They are flat when you are on them and when you're looking at them from a significant distance they appear round and to rotate because that's the only way we can comprehend a plane "scrolling" through 3dimensions from the 4th.
Pic related, but a "sphere" instead
>Flat earth isn't wrong but globe earth isn't right
I can see this
>tfw to intelligent for more than 2 dimensions
This makes more sense than I'm willing to admit right now
Why can't any of the non-human animals on our planet communicate with us in a deep way?
cus ther 2 dum
>>8528068
Who said they couldn't communicate with us in a deep way? Look at elephants who mourn when their relatives die or dolphins that will rape other dolphins for "fun".
>>8528072
>Who said they couldn't communicate with us in a deep way?
The closest we have to actually speaking with a non-human animal is a gorilla who maybe knows some sign language although there are also a lot o researchers claiming the Koko sign language thing is bullshit and that the handler just over-interprets random gestures into meaningful statements.
>Observer doesn't refer to a "conscious observer"
ITT: Lies told by mediocre scientists who don't quite fully grasp their field.
>>8527766
no-one grasps their "field". which is why it is a "field"
>You can't separate dy from dx
>>8527766
There is no difference between conscious or non conscious observers.
>Einstein's desk after he died
>He was reading philosophy
Why can't brainlets get why philosophy is the best study?
Einstein is dead to me
>>8525950
he's dead to himself too
>>8525950
>being a brainlet
A lot of people seem to think that the universe might be a simulation. The idea is that if it is easy to simulate a universe, then inside that simulation it is also easy to simulate a universe, so iniside that simulation it is easy, ... etc. Therefore there is an infinite number of simulations running inside each other, and the probably that our universe is not one of them is approaching 0, therefore it is most likely that we are in a simulation.
The problem I see with that is that any computer can necessarily simulate an area of space that is less big than itself. For example if my computer is made up of 20000 atoms, and each atom is a memory block storing information useful for the simulation of atoms, then I can only simulate a universe consisting of 20000 atoms, at best. If this was not true then a computer would essentially be able to simulate a computer with more memory than it has, inside of itself.
This seems like a very basic violation of some physical law, but I am not sure. Can someone prove me wrong? Does quantum computing solve this problem somehow?
The implications for the multiple simulations theory therefore seems to be that each simulation can only run inside a universe that is orders of magnitude more complex than itself, because it would require constructing a computer that is orders of magnitude more complex than the entire size of the universe.
>>8513716
o hai
>>8513735
Hi
care to elaborate?
Apologies in advance for asking for hw help
There's group A so that A={2n| n Z} (every whole even number)
And binary action * so that a*b=a+b-ab
How do I prove that there's closure and associativity?
I know the result of multiplication, subtraction and addition of whole even numbers is always going to be a whole even number but how do I prove it besides just saying that?
And with associativity, I can put any numbers in the formula and it works but how do I prove that it works for every number? Actually doing (a*b)*c=a*(b*c) leads to nowhere
And for a neutral number, is 0 even included in whole even numbers? if so I guess that's that.
Hint: The property 'a is even' can be translated to the statement 'a=2k for some integer k'.
>>8531116
Let a,b be in A, what do a and b look like? And what does the binary action on them look like?
For associativity,
(a*b)*c=(a+b-ab)*c=a+b-ab+c-(a+b-ab)c=a+b-ab+c-ac-bc+abc
a*(b*c)=a*(b+c-bc)=a+b+c-bc-a(b+c-bc)=a+b+c-bc-ab-ac+abc
which is the same.
Yes, 0 is even.
>>8531117
I've said this
a+b-ab in the group Z is equal to 2(a+b-ab) in the group we are given in the question
so this proves they're even, but how do I prove they're whole?
how the fuck can a function be continuous everywhere but differentiable nowhere?
how can a function be discontinuous if it's the sum of continuous functions?
>>8531028
>continuous everywhere but differentiable nowhere
https://en.wikipedia.org/wiki/Weierstrass_function
> discontinuous if it's the sum of continuous functions
because infinity is unwieldy
>>8531033
Because it's not absolutely continuous
would electrons have near infinite moment of inertia since they have nearly no radius but have insanely high tangential velocity relative to the nucleus of an atom?
>nearly no radius
Plz explain
No.
>>8530927
The atom is not a miniature solar system
I know it's autistic to believe that we will ever switch to base 12 on a wide scale, but can we have a fap thread where we fantasize about a world where we use base 12 instead of base 10?
https://www.youtube.com/watch?v=U6xJfP7-HCc
Sounds nice.
>>8530885
So should we just get rid of all flat keys? What is the point of them, they are stupid. They can't compare to superior sharp keys.
>>8530890
you don't get it.
they don't disappear. they aren't destroyed. the notation changes.
/stat/ thread
How should I model a joint distribution of a great number (dozens probably) of continuous and categorical variables?
Maybe defining some latent variables, making my "observed" variables dependent only on those latent ones and applying EM to find maximum likelihood parameters for one-dimensional distributions?
Draw up the entity-relationship diagram between your variables and then fit a hierarchical model (arrows become conditional distributions)
for more info, 'structural equation modeling' (SEM) is the term you should be reading up on
What you're proposing (defining latent variables and using EM) is based on the same ideas as machine learning, in that you'll end up with some kind of black box that is a "model" in name only. But if that's what you want then I'm not going to stop you.
>>8530893
I was actually giving a look at "New Developments and Techniques in Structural Equation Modeling" before making this thread, but they seem to care too much about things that I don't (giving meanings to latent variables for example). All I want is an analytical formula for a joint distribution that makes sense (captures the relationships between observed variables)
If I have say, 3 variables (age, marital status, gender) I can simply build a contingency table for the categorical values and fit a normal distribution for age for each combination in the table, but with increased number of observed variables the number of parameters increases exponentially and the "contingency tensor" would become very sparse. I just want an alternative for that
>Anaximander of Miletus (c. 610 – 546 BC) proposed that the first animals lived in water, during a wet phase of the Earth's past, and that the first land-dwelling ancestors of mankind must have been born in water, and only spent part of their life on land. He also argued that the first human of the form known today must have been the child of a different type of animal, because man needs prolonged nursing to live
How can a man only be so much ahead of his time?
Everyone in ancient Greece was throwing around guesses about all kinds of shit. Of course some of them were right.
>>8530703
More than a few were right.
It might come as a shock to some, but ancient philosophers did quite a bit more than drink all day and make up bullshit explanations for things. They were very much the scientists of the day, and would form hypotheses based on their observations and musings.
You don't give them enough credit.
>>8530696
Cool story bro.
Is fuzzy logic logic for people with commitment issues?
>>8530625
LOL. The best applications I've seen for fuzzy logic usually involve systems that will yield too many solutions. The solutions can be narrowed down to optimize the next logical/mathematical step.
>>8530625
the second graph is the only one that I would have trouble accepting, since you can't be 'about' constant motion.
>>8530625
it makes sense, because being close and very close is all relative.
The middle graph is bullshit, you can't be about constant you are either at a constant speed or you aren't