A dot product is undefined in many tensor decompositions.

Well. And tensor methods do not protect lots of people living under illegal and 
crime circumstances. This is probably off-topic but it is possible for many 
people to be not protected by laws and polices. As you may know. 

> On 26 Jul BE 2566, at 01:56, Albretch Mueller via Corpora 
> <corpora@list.elra.info> wrote:
> 
> On 7/24/23, Paula .* wrote
>> They (Pytorch et Tensorflow authors) generally would not discuss the tensor 
>> operations used to implement the NNs.
> 
> adawan...@gmail.com Tue, Jul 25, 2023 at 3:27 PM:
>> Yes, indeed, it is possible for a string (or an expression or a lexical 
>> item... etc.) to refer to different things based on different contexts ...
> 
> Rodolfo Delmonte via Corpora<corpora@list.elra.info>    Tue, Jul 25, 2023
> at 4:01 PM
>> In fact tensors should capture ideally both paradigmatic and synthagmatic 
>> properties of a word in a sentence given the fact that they are usually made 
>> up of matrices, that is at least couples of vectors where the rows are 
>> represented by ...
> 
> At the risk of being considered a "purist", an "elitist" and if I am
> following your comments (making sense of them somewhat hopefully),
> tensors and matrices are definitely more than a visual table-like
> arrangement; which is also the case of vectors, vector operations,
> vector space, points in a space, distance between two points (as a
> zero order invariant tensor) ...
> 
> Take a bunch of texts and first show to me how do you define "space",
> then "vector", ... in a thoroughgoing "character-by-character" way.
> For example, how could you then use vector addition parallelograms to
> explain paraphrasing and go about summarizations in a corpus ...
> 
> Such concepts have been very profitably cultured for millennia by
> generations after generations of Mathematicians and empirical
> scientists to very precisely land rovers on the moon and to coordinate
> the work of the robots they use to make transistors.
> 
> If those Pytorch et Tensorflow yahoos (behaving more like politicians
> and magicians than true to matters tech monkeys) would not even show
> what they mean how are you so sure about what you mean when you speak
> of "tensors", "vectors", ...
> 
> How does the concept of vector in a space translates to whatever you
> mean by "vectors" in a text bank/corpus. What would be its magnitude
> and direction? How would you calculate a dot product between two
> vectors? ...
> 
> Here is a very basic introduction to what a dot product and a tensor mean:
> 
> // __ Tensors for Beginners 9: The Metric Tensor
> 
> https://www.youtube.com/watch?v=C76lWSOTqnc
> ~
> lbrtchx
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