System and method for finding integer solutions

Details System and method for finding integer solutions System and method for finding integer solutions

2007-01-03

2008-11-18

Chowdhury, Tarifur R (Department: 2886)

Optics: measuring and testing

By light interference

Reexamination Certificate

active

07453574

ABSTRACT:
A system and a method for finding integer solutions of equations whose graphs are conic sections. The system provides a physical implementation of a geometric formulation of integer solutions of conic sections. The system includes a first source of waves and an arrangement of a plurality of reflectors to provide a lattice of interference patterns of standing waves in a plane, the lattice representing intersections at integer values. The system also includes a second source of waves and a detector provided along a curve that, with the second source, defines a cone of waves, which intersects with the plane of the lattice to provide a conic section. The detector finds points of intersection of the lattice and the conic section to determine integer solutions of the conic section. The conic section may be y=N/x, in which case the integer solutions provide a factorization into integers of N.

REFERENCES:
patent: 4759628 (1988-07-01), Tatsuno et al.
patent: 5543916 (1996-08-01), Kachanov

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