Algebraic Number Fields

Famous quotes containing the words algebraic, number and/or fields:

    I have no scheme about it,—no designs on men at all; and, if I had, my mode would be to tempt them with the fruit, and not with the manure. To what end do I lead a simple life at all, pray? That I may teach others to simplify their lives?—and so all our lives be simplified merely, like an algebraic formula? Or not, rather, that I may make use of the ground I have cleared, to live more worthily and profitably?
    Henry David Thoreau (1817–1862)

    Hence, a generative grammar must be a system of rules that can iterate to generate an indefinitely large number of structures. This system of rules can be analyzed into the three major components of a generative grammar: the syntactic, phonological, and semantic components.
    Noam Chomsky (b. 1928)

    O do not grieve
    for a torn earth
    barren fields burnt forests
    cracked riven volcano-broken
    hill-slopes islands shrunken
    mountains lost.
    Hilda Doolittle (1886–1961)