Naked Science Forum
Non Life Sciences => Physics, Astronomy & Cosmology => Topic started by: Richard777 on 17/08/2019 01:37:50

Can vectors be connected to form a vector structure?
Does this structure represent a tensor?
This tensor would have two (or more) magnitudes.
Two vectors may be assumed to be “connected” if;
 they share a common origin (tail)
 they share a common component.
Is this a useful representation of a tensor?

Richard, where do you get out from?
A global representation or a local?

The path to your PDF is so convoluted that, by the time I got to it, I just couldn't even be bothered to read it.

Can vectors be connected to form a vector structure?
Without seeing an example it is difficult to understand what you mean.
However, by your definition of connected:
Two vectors may be assumed to be “connected” if;
 they share a common origin (tail)
 they share a common component.
If two vectors are arranged in this way, assuming that both magnitudes have the same denomination, then you will have a resultant vector.
Does this structure represent a tensor?
As all vectors are tensors, then if the resultant is a vector then yes.
This tensor would have two (or more) magnitudes.
Then it’s not a tensor  unless you mean components of the tensor. Give an example  don’t just link to an external website, that is not discussing a topic on this website (see our usage policy).
Is this a useful representation of a tensor?
Doesn’t sound like it.