Hey /sci/, which of the Millenium Prize Problems is the most likely one to be solved next?
why ur mom's such a whore
>>7925587
the navier stokes one. we probably wont get a general solution out of it, but heres hoping.
How easy is this to accomplish?
>>7925445
Extremely easy.
>>7925774
Not OP, but follow-up question:
How hard is it to triangulate where someone is transmitting from? Asking for a friend...
Bumping cause this seems interesting
If people below a certain IQ would have the undergo mandatory sterilisation worldwide, which exact number would you choose?
I'd pick a number one digit below mine. That would ensure I have the world to myself
Why is the solar corona millions of kelvin hotter than the sun's surface? Does that mean Maxwell's theories about magnetism and thermodynamics was wrong? How do we know Maxwell wasn't wrong about other things like the speed of light having a speed limit?
>>7925167
Why are you such a colossal faggot? Why do uninformed people keep asking questions on things they never studied, assuming the most batshit retarded positions?
>>7925171
The sun's coronal heating problem is an unsolved problem in physics dumbass
>>7925167
>Does that mean Maxwell's theories about magnetism and thermodynamics was wrong? How do we know Maxwell wasn't wrong about other things like the speed of light having a speed limit?
Wrongheaded, theories are not correct because their theorist is correct, they're correct because they align with observation.
do you look cool in your lab coat?
I wish I looked like Okabe
Mathfag here; I can research in my underwear all I like.
Nobody does.
Can I get a physicist and a chemist to comment on whether the mathematics in the pictures would EVER be necessary?
besides ? 11, of course.
Not really but AS a physicist i can tell you, that if you struggle with these questions you should not even try getting into physics
Hello /sci/, i have the following problem:
Given a d-dimensional array M and an integer n, find vectors [math]V_{i,j}[/math] such that
[eqn] \sum_{i=n}^m V_{i,1} \otimes \dots \otimes V_{i,d} [/eqn]
approximates M as good as possible (in the least squares sense).
For d=2 the problem is easy: M is just a matrix and we find the vectors by looking at the eigenvectors of [math]MM^T[math] that belong to the largest eigenvalues.
But for d>2 i am completely clueless.
Is this problem familiar to someone? Maybe knowing tensor algebra would help to solve this?
Maybe this is a bit clearer: I want to minimize
[eqn] \sum_{i_1=1}^{m_1} \cdots \sum_{i_d=1}^{m_d} \left( M_{i_1,\dots,i_d} - \sum_{i=1}^{n} V_{i,1,i_1} \cdots V_{i,d,i_d} \right)^2 [/eqn]
with respect to the Vs
>>7924862
take the derivative, set equal to zero, solve, profit.
>>7924899
yes that is the obvious approach, but this results in a system of polynomial equations which don't really tell much... in the 2d case these equations reduce to finding the eigenvectors of a matrix, which is a well studied problem. I was hoping for something similiar for higher dimensions to show up, but I have no idea how you would even define eigenvectors of higher dimensional arrays (and in a way that solves this problem!)
So I was thinking.
How about I found a new field of engineering called "Synthetic Organ Engineering"?
It's a whole field which combines lots of different fields of study to engineer artificial organs for use in the human body!
Want gills? SythOrg engineering is right for you!
Want a stronger heart with mechanical enhancements? Try SynthOrg engineering!
I was thinking of making an organ that produced nano and micro machines that repaired damage to tissues effectively making you live forever.
Pretty cool huh?!
pop-sci fags are cancer
Any venture capitalists want to help found this company of the future?
We could start by selling to the military and the extremely old and desperate. Both have deep pockets.
>>7924834
fuck you, you're cancer.
Everything starts off as a concept, I see no reason why this sort of thing couldn't be done.
We've got the purpose, now we just work toward making that purpose viable in reality.
Anything you can imagine, can be made real through science.
You can quote me on that.
What are ways to enhance the process of studying? How do you study /sci/?
>>7924734
Books, papers, caffeine, and a closed door.
>>7924734
Nicotine, caffeine, any other -ine substance. Depends on the class also. For Math, I go over everything (if there's something to derive, I do it my self because i find it provides greater insight than just reading the bottom line) then do exercises, starring ones that I will come back to before an exam if they are hard to understand.
>>7924734
A D D E R A L
D
D
E
R
A
L
Go to your doc, get some, and sell the rest to retards for $5 or potentially $10 a pop depending on the dose
what the fuck are tensors
more importantly
what are covariant, contravariant and mixed tensors (rank 2)
A tensor is set of quantities that obey certain transformation laws relating the bases in one generalized coordinate system to those of another and involving partial derivative sums. vectors are simple tensors.
Because of this you can think of tensors as a generalized form of vectors.
A tensor is contravariant when it transforms according to the following equation
[math]A^i=\frac{\partial y^i}{\partial x^j}B^j[/math]
Note that i and j are indcies not exponents. A tensor is covariant if it transforms according to the following equation
[math]A_i=\frac{\partial x^j}{\partial y^i}B_j[/math]
A mixed tensor is a tensor that contains both contravariant indices and covariant indices.
A tensor should be thought of as a multi linear operator that transforms (between different coordinate systems) according to certain rules (to be detailed below).
A rank 2 tensor takes two vectors as inputs. This gives it two indicies, which can be covariant, contravariant, or one of each (mixed).
Covariant index transforms by the inverse jacobian and contravariant transforms by the jacobian.
A covariant index takes a contravariant vector as its argument, and vice versa. This is because the contravariant transforms by the jacobian and the covariant transforms as the jacobian, so when they are multiplied together their transformation matrices cancel out and the result is coordinate independent.
>tfw /sci/ has actually good answers
Psssst, faggots, how does this compare to GCSE mathematics in terms of difficulty? I never did GCSE.
It's one assignment question from the the Open Universities lowest level maths course.
T-T-Thanks.
>>7924694
Fuck it's slanted. I'll try to fix it. BRB.
Please work.
>>7924720
Interesting. Without wanting to come across as an arrogant twat, I'm finding it pretty easy so far and I got a G grade at GCSE. Though this time I'm actually doing the work. Shows how much of a difference a change in attitude can make.
By the way, the word polynomial isn't mentioned anywhere in the quadratics section of the textbook (which this question is supposed to test). I will have to look this up.
What is objectively the best non-STEM degree? Gun to your head and you had to choose one
Businesses? I realize this is like asking a Muslim what the best cut of pork is, but try to contain your autism and bear with me
Assembly Line Management
>>7924673
Economics or accounting.
Data based big business degrees.
>>7924678
>Accounting
>non-STEM
why a negative times a negative is a positive?
>>7924562
Because -a * -b = (-1) * a * (-1) * b = a * b
faggot
>>7924562
Multiplication is addition
>>7924571
incorrect.
gaylord
>tfw you finally learn the difference between dx and delta x from a geometric perspective and you understand that the use of the tangent plane in R3 to approximate is analogous to use of the tangent line in R2.
Post your recent breakthroughs in understanding math.
>>7924480
>the difference between dx and delta x from a geometric perspective
which is ?
I understood not to use toilet paper instead of my hand. I'd say the mental capacity it required to realize this was compatible to yours.
>>7924504
Oh, I misspoke. I meant the difference between dz and delta z (z being the dependent variable).
The difference is that dz is the change in z using the linearization and delta z is the change in z using the actual function.
For instance, in R2 with y = f(x). You find the derivative at x = a, which can be used to create a tangent line.
Moving from a to b, the dy added to f(a) will always land on the tangent line.
Moving from a to b, the delta y added to f(a) will always land on the original function.
NEW MEME: all soft science and philosophy shittery goes to >>>/his/
MODERATORS CAN WE GET THIS APPENDED TO THE STICKY!!
>>7924453
Omg please yes
We can keep some soft sciences like some biology threads were pretty alright, but imagine a /sci/ without all the consciousness/free will/bioethics/epistemology shit
Bump?
>>7924453
bump-desu
