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 10 months 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 10 months ago
Avengers Endgame is just a sequence of numbers
scrubbles@poptalk.scrubbles.tech 10 months ago
All of creation is just a stream of numbers
And we call that physics
And that is beautiful
zo0@programming.dev 10 months ago
Your mom is an endless stream of numbers
not_woody_shaw@lemmy.world 10 months ago
There is no spoon.
someacnt@sh.itjust.works 10 months ago
A tensor is one that transforms like a tensor 🤯
kibiz0r@midwest.social 10 months ago
You really did a number on this one
InnerScientist@lemmy.world 10 months ago
He’s doing numbers!
dohpaz42@lemmy.world 10 months 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 10 months ago
You’re quite a number bee hat tip emoji
Dadifer@lemmy.world 10 months ago
A tensor is a special box of numbers that doesn’t change under coordinate transformation.
kogasa@programming.dev 10 months 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 10 months 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 10 months ago
It’s an n-dimensional box
Eq0@literature.cafe 10 months 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 10 months 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 10 months 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 10 months 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 10 months ago
A scalar is just a 0th order tensor
Una@europe.pub 10 months ago
I am THE NUMBER
OpenStars@piefed.social 10 months ago
I mean... it also has to be linear too, but sure okay ☺️
verstra@programming.dev 10 months ago
What has to be linear? Vector?matrix? Tensor? Neither makes sense
OpenStars@piefed.social 10 months 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 10 months ago
"Linear" describes transformations, not numbers.
OpenStars@piefed.social 10 months ago
Isn't a tensor a multilinear map taking as input a tensor and outputting another tensor?
captainlezbian@lemmy.world 10 months ago
A number is just a type of vector
Hupf@feddit.org 10 months ago
Tensorflow is just Numberwang
azi@mander.xyz 10 months ago
*a subtype of vector
vector is a type not a kind :P
TigerAce@lemmy.dbzer0.com 10 months ago
A Pi is just an endless string of numbers.
Opisek@lemmy.world 10 months 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.
TigerAce@lemmy.dbzer0.com 10 months ago
3.14% of sailors are pirates.
affiliate@lemmy.world 10 months 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 10 months 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 10 months ago
Math is just syntax.
Pulptastic@midwest.social 10 months ago
These collections also happen to follow a few specific geometric rules.
tatterdemalion@programming.dev 10 months ago
Overly simplified math meme is bad. Take it down
Neverclear@lemmy.dbzer0.com 10 months ago
To approach from another angle…
mathworld.wolfram.com/Tensor.html
PlexSheep@infosec.pub 10 months ago
That makes a lot of sense