Dual Structure

Some articles on structure, dual structure, dual:

Duality (projective Geometry) - Principle of Duality
... If one defines a projective plane axiomatically as an incidence structure, in terms of a set P of points, a set L of lines, and an incidence relation I that determines which points lie on which lines ... Interchange the role of "points" and "lines" in C=(P,L,I) to obtain the dual structure C* =(L,P,I*), where I* is the inverse relation of I ... C* is also a projective plane, called the dual plane of C ...
Projective Plane - Plane Duality
... plane is defined axiomatically as an incidence structure, in terms of a set P of points, a set L of lines, and an incidence relation I that determines ... As P and L are only sets one can interchange their roles and define a plane dual structure ... role of "points" and "lines" in C=(P,L,I) we obtain the dual structure C* =(L,P,I*), where I* is the inverse relation of I ...
Incidence Structure - Dual Structure
... we interchange the role of "points" and "lines" in C=(P,L,I) the dual structure C*=(L,P,I*) is obtained, where I* is the inverse relation of I ... A structure C that is isomorphic to its dual C* is called self-dual ...

Famous quotes containing the words structure and/or dual:

    I really do inhabit a system in which words are capable of shaking the entire structure of government, where words can prove mightier than ten military divisions.
    Václav Havel (b. 1936)

    Thee for my recitative,
    Thee in the driving storm even as now, the snow, the winter-day
    declining,
    Thee in thy panoply, thy measur’d dual throbbing and thy beat
    convulsive,
    Thy black cylindric body, golden brass and silvery steel,
    Walt Whitman (1819–1892)