Growth Rate (group Theory)

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:

    You know that the nucleus of a time is not
    The poet but the poem, the growth of the mind
    Of the world, the heroic effort to live expressed
    As victory. The poet does not speak in ruins
    Nor stand there making orotund consolations.
    He shares the confusions of intelligence.
    Wallace Stevens (1879–1955)

    All of us failed to match our dreams of perfection. So I rate us on the basis of our splendid failure to do the impossible.
    William Faulkner (1897–1962)