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To approach from another angle…
Tensors are generalizations of scalars (that have no indices), vectors (that have exactly one index), and matrices (that have exactly two indices) to an arbitrary number of indices.
Avengers Endgame is just a stream of numbers
A tensor is one that transforms like a tensor 🤯
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).
A tensor is a special box of numbers that doesn’t change under coordinate transformation.
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
a tensor is just an element of a tensor product. and a tensor product is just a way to multiply algebraic structures
A scalar is just a 0th order tensor
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.
A Pi is just an endless string of numbers.
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.
3.14% of sailors are pirates.
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)
A number is just a type of vector
Tensorflow is just Numberwang
*a subtype of vector
vector is a type not a kind :P
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Overly simplified math meme is bad. Take it down
