Growth Rate (group Theory)
In group theory, the growth rate of a group with respect to a symmetric generating set describes the size of balls in the group. Every element in the group can be written as a product of generators, and the growth rate counts the number of elements that can be written as a product of length n.
Read more about Growth Rate (group Theory): Definition, Polynomial and Exponential Growth, Examples
Famous quotes containing the words growth and/or rate:
“The Past—the dark unfathom’d retrospect!
The teeming gulf—the sleepers and the shadows!
The past! the infinite greatness of the past!
For what is the present after all but a growth out of the past?”
—Walt Whitman (1819–1892)
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—Aldous Huxley (1894–1963)