Trying2Learn
TL;DR Summary
Hello!

The operation of two vectors, side by side, just seems weird.

I finally went to wikipedia and found this sentence:
A dyadic can be used to contain physical or geometric information, although in general there is no direct way of geometrically interpreting it.

So, with that, could someone explain what a dyadic is? Is is really just a juxataposition of two vectors to "organize" information? Is that all?

I am embarrased to say that I just do not see an "operation" here. I do not see what use they have.

Gold Member
I think it is tensor written as
$$a^i b^j:=c^{ij}$$
where ##a^i## and ## b^j## are vectors.

Sum of these numbers such as antisymmetric tensor
$$a^i b^j-a^j b^i$$
symmetic tensor
$$a^i b^j+a^j b^i$$
are also tensors.

Mentor
2022 Award
Summary:: Simple discussion of a dyadic

Hello!

The operation of two vectors, side by side, just seems weird.

I finally went to wikipedia and found this sentence:
A dyadic can be used to contain physical or geometric information, although in general there is no direct way of geometrically interpreting it.

So, with that, could someone explain what a dyadic is? Is is really just a juxataposition of two vectors to "organize" information? Is that all?

I am embarrased to say that I just do not see an "operation" here. I do not see what use they have.