Name a field that uses tensor calculus that is not physics or engineering
>protip you cant
Mathematics
>>7966582
>>7966580
Statistics
>>7966580
machine learning
Retail
Political Science
>>7966598
A tensor is essential to the sigma algebras and comes into play in the more analysis and measure theory-composed sides of theoretical actuarial science (in Statistics).
Machines are built of tensors and it's the foundation of machine learning. Very important.
starbucks
>>7966598
Neural network
Michelle Fields
>>7966598
A tensor is, informally speaking, any array with more than 1 dimension, or possibly more than 2.
Training datasets for image recognition may easily be 4-dimensional: One index for every training example, one for pixel x-coordinate, one for pixel y-coordinate, and one for (r,g,b) values. Or consider the three-dimensional array of weight matrices for a multilayer neural network.
This is why Google's recent machine-leaning library is called TensorFlow, because a good chunk of machine learning is performing operations on bigass tensors and shuttling them around.
>>7966613
linear algebra != tensor
>>7966621
>>7966613
>>7966607
how are tensors essential for sigma algebras in any way?
>>7966622
tensor is just an extension of linear algebra seriously if you think tensor is some rocket science you should kill yourself.
and in neural network you will find that they use 4 dimensional objects. if you think that is not tensor you should kill urself topkek
>>7966630
you really sound like you don't know shit
>>7966633
show your shit, alright?
They're ESSENTIAL to sociological modeling.
Also linguistic analysis.
>>7966635
>tensor is just an extension of linear algebra
literately shoe strings over here
East Asian Studies relies on it.
All math is Chinese.
>>7966639
>I didn't pass linear algebra
How's grad school you newfag?
>>7966645
how is it passing linear algebra and never taking tensor calculus?
>>7966639
if you don't have any meaningful things to say fuck off
>>7966646
I fucking invented knot theory you pleb.
Also OP:
Knot Theory.
>>7966650
I independently assessed that about you. I did not say anything about "extensions of linear algebra" you got that from the other guy's posts.
Multiple people here hate you and you are replying to the wrong person.
Kill yourself.
For the OP:
Arithmetic.
Basically just applied tensor calculus. It's central to the field.
>>7966651
>Knot Theory
>KEK
Tensor Biology
>>7966654
I'm not the guy you said that to either, genius.
>>7966669
Oh. Good job then.
>>7966598
Maximum likelihood estimation for the covariance matrix of a multivariate gaussian
Tensor Geology.
It's a kind of rock analysis advanced form. Gaussian.
>>7966580
diffusion tensor imaging, for imaging the brain, you fucking mong
Mongolian Throat Singing is actually all about tensor calculus when you get right down to it.
I'll give an example.
Suppose tensor calculus does not exist.
Then what is Mongolian Throat Singing?
>>7966582
OP got BTFO and no one bats an eye
Algebraic complexity
>>7966630
>thinks numpy's ndarray along with some fancy products = tensor calculus
Folklore and Peruvian Literature.
>>7966580
I don't know. I was always bad at math in school. I liked history though. I am from r9k just stopping in. What u guys up to tonight?
>>7967423
We're discussing how tensor calculus is essential to bolivian folk music.
OP doesn't realize how many applications there are to this wonderful field.
>>7967437
yeah
what about calculus of tensor (veli palatini) for cosmetic surgery OP ?
>>7967437
>>7968062
**Bolshevik
I meant Bolveshit
>>7966580
> name a field that uses x that is not any of the fields that uses x
