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:
“This [new] period of parenting is an intense one. Never will we know such responsibility, such productive and hard work, such potential for isolation in the caretaking role and such intimacy and close involvement in the growth and development of another human being.”
—Joan Sheingold Ditzion and Dennie Palmer (20th century)
“If we became students of Malcolm X, we would not have young black men out there killing each other like they’re killing each other now. Young black men would not be impregnating young black women at the rate going on now. We’d not have the drugs we have now, or the alcoholism.”
—Spike Lee (b. 1956)