I was reading "Resistance Distance" (D. J. Klein, M. Randić) (Journal of Mathematical Chemistry 12(1993)81-95) when I came up with strange notation. From the paper: The graph adjacency matrix is defined as: Axy=(x|A|y)={1/rxy0 x∼y otherwise

Aidyn Crosby

Aidyn Crosby

Answered question

2022-10-02

Strange math notation, vertical bar with parentheses.
So I was reading "Resistance Distance" (D. J. Klein, M. Randić) (Journal of Mathematical Chemistry 12(1993)81-95) when I came up with strange notation.
From the paper:
The graph adjacency matrix is defined as:
A x y = ( x | A | y ) = { 1 / r x y x y 0 otherwise
The graph degree matrix of a graph is defined as:
Δ x y = ( x | Δ | y ) = δ ( x , y ) z x 1 / r x y
| ϕ ) x | x )
My main question is what does the combination of the vertical bar parentheses mean. Thanks in advance.

Answer & Explanation

Johnny Parrish

Johnny Parrish

Beginner2022-10-03Added 12 answers

Here is a community wiki answer so the question can be closed.
This is bra-ket notation, as commonly used in physics.

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