Various metrics to say how “big” a free object is
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Vector of free group objects
The “size” of an object is the number of pure powers in it (this is the number of columns of the matrix representation of the word).
The “total” of an object is the sum of the absolute values of its powers
The “number” of an object is the number of distinct symbols in it
bigness() is a convenience wrapper that returns all
three bigness measures.
These functions return an integer vector.
I would like to thank Murray Jorgensen for his insightful comments which inspired this functionality.
Robin K. S. Hankin
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