Excuse me, but a tensor is actually a blob of numbers which extends the concept of a matrix to a sequence and stride data structure.
number box o number box
Submitted 3 weeks ago by fossilesque@mander.xyz to science_memes@mander.xyz
https://mander.xyz/pictrs/image/b068fcc9-ba8d-4d92-a81b-8a1d0db1d45c.png
Comments
zo0@programming.dev 3 weeks ago
Avengers Endgame is just a sequence of numbers
scrubbles@poptalk.scrubbles.tech 3 weeks ago
All of creation is just a stream of numbers
And we call that physics
And that is beautiful
zo0@programming.dev 3 weeks ago
Your mom is an endless stream of numbers
not_woody_shaw@lemmy.world 2 weeks ago
There is no spoon.
someacnt@sh.itjust.works 3 weeks ago
A tensor is one that transforms like a tensor 🤯
kibiz0r@midwest.social 3 weeks ago
You really did a number on this one
InnerScientist@lemmy.world 3 weeks ago
He’s doing numbers!
dohpaz42@lemmy.world 3 weeks ago
Can you all keep it down! You’re mathing too loudly for this time of night. Some of us have to get up early(ish).
luciole@beehaw.org 3 weeks ago
You’re quite a number bee hat tip emoji
Dadifer@lemmy.world 2 weeks ago
A tensor is a special box of numbers that doesn’t change under coordinate transformation.
kogasa@programming.dev 2 weeks ago
Which is really a roundabout way of saying a tensor is a multilinear relationship between arbitrary products of vectors and covectors. They’re inherently geometric objects that don’t depend on a choice of coordinate system. The box of numbers is just one way of looking at a tensor, like a matrix is to a linear transformation on a vector space
exocortex@discuss.tchncs.de 2 weeks ago
Isn’t a tensor the generalization of scalar, vector matrix and so on? (PLUS the invariance under coordinate transforms?)
A box would be 3-dimensional indicating that tensors have 3 indices when in reality they have n-indices. Ir am i reading it wrong?
Dadifer@lemmy.world 2 weeks ago
It’s an n-dimensional box
Eq0@literature.cafe 2 weeks ago
Where does this definition come from?
All the geometric definitions of tensors I have met always assumed a base, such that a change of coordinate or of parametrization would change the values of the tensor. Unless you define the tensor by its action instead of its values?
CompassRed@discuss.tchncs.de 2 weeks ago
That’s exactly correct. It’s similar to how a vector in R^2 is just an arrow with a magnitude and a direction. When you represent that arrow in different bases, the arrow itself isn’t changing, just the list of numbers you use to represent them. Likewise, tensors do not change when you change bases, but their representations as n dimensional grids of numbers do change.
Dadifer@lemmy.world 2 weeks ago
Tensors are defined independent of any basis, although they are often referred to by their components in a basis related to a particular coordinate system; those components form an array, which can be thought of as a high-dimensional matrix.
purplemonkeymad@programming.dev 3 weeks ago
But a grid can just be a number with a list of numbers. A tensor is just two numbers with a list of numbers. A n-tensor is just two lists of numbers. Two lists can be combined with a number to indicate when they split. If we put that number at the start of the list, then we just have a list.
Everything is just a list of numbers.
Droggelbecher@lemmy.world 2 weeks ago
A scalar is just a 0th order tensor
Una@europe.pub 3 weeks ago
I am THE NUMBER
captainlezbian@lemmy.world 2 weeks ago
A number is just a type of vector
Hupf@feddit.org 2 weeks ago
Tensorflow is just Numberwang
azi@mander.xyz 2 weeks ago
*a subtype of vector
vector is a type not a kind :P
OpenStars@piefed.social 3 weeks ago
I mean... it also has to be linear too, but sure okay ☺️
verstra@programming.dev 3 weeks ago
What has to be linear? Vector?matrix? Tensor? Neither makes sense
OpenStars@piefed.social 3 weeks ago
You lost me at vectors not having to be linear. You can apply nonlinear functions or operations to vectors, but doing so transforms them into a different, non-linear context, afaik. We might be using different definitions of some of these terms, especially "linear".
NoneOfUrBusiness@fedia.io 3 weeks ago
"Linear" describes transformations, not numbers.
OpenStars@piefed.social 3 weeks ago
Isn't a tensor a multilinear map taking as input a tensor and outputting another tensor?
TigerAce@lemmy.dbzer0.com 2 weeks ago
A Pi is just an endless string of numbers.
Opisek@lemmy.world 2 weeks ago
Hnghhhhh I can’t agree. Its decimal representation is an endless string of digits, yes. However, in base π, π is represented by only one digit.
affiliate@lemmy.world 3 weeks ago
a tensor is just an element of a tensor product. and a tensor product is just a way to multiply algebraic structures
Sivecano@lemmy.dbzer0.com 3 weeks ago
And this is the reason why no one knows what a tensor is. (This also completely blows up in your face as soon as you have infinite dimensions)
MonkderVierte@lemmy.zip 2 weeks ago
Math is just syntax.
Pulptastic@midwest.social 2 weeks ago
These collections also happen to follow a few specific geometric rules.
tatterdemalion@programming.dev 2 weeks ago
Overly simplified math meme is bad. Take it down
Neverclear@lemmy.dbzer0.com 3 weeks ago
To approach from another angle…
mathworld.wolfram.com/Tensor.html
PlexSheep@infosec.pub 3 weeks ago
That makes a lot of sense