### Some articles on *structure, dual structure, dual*:

Duality (projective Geometry) - Principle of Duality

... If one defines a projective plane axiomatically as an incidence

... 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

... 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 -

... we interchange the role of "points" and "lines" in C=(P,L,I) the

**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)

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