proofofconcept
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another graph: relation of variables by expressions
Suppose the variable "a" shows up in expression 6, and expression 6 also contains the variable "b". Then an edge exists between nodes "a" and "b":
"a" -- (expr 6) -- "b"
The variables a
and b
may both appear in other expressions. The graph could have multiple edges between any two nodes.
This graph doesn't depend on the Physics Derivation Graph being complete; it merely needs a collection of expressions.
I'm unable to come up with a use case that would get value from having this symbol graph.
This graph might give insight on where to expect connectivity across domains based on commonality of variables?
For example, if variable a
shows up in fluid mechanics and in thermodynamics, that hints at a mathematical connectivity.