A geometrical characterization of the projective plane of order
A geometrical construction of the oval(s) associated with an -flock.
A Goldbach theorem for polynomials of low degree over odd finite fields
A group-free characterization of the -geometry for .
A Helmholtz-Lie Type Characterization of Ellipsoids, I .
A Jacobson radical decomposition of the Fano-Snowflake configuration.
A local metric characterization of Banach spaces
A lower estimate for the number of zero-torsion points of a space curve.
A mathematical theory of origami constructions and numbers.
A method for establishing certain trigonometric inequalities.
A methodologically pure proof of a convex geometry problem.
A metric characterization of "spherical" surfaces in n-dimensional hyperbolic space.
A metric induced by the geometric interpretation of Rolle's theorem.
A model of hyperbolic stereometry based on the algebra of quaternions
A Necessary and Sufficient Condition for the Existence of an (n,r)-arc in PG(2,q) and Its Applications
ACM Computing Classification System (1998): E.4.Let q be a prime or a prime power ≥ 3. The purpose of this paper is to give a necessary and sufficient condition for the existence of an (n, r)-arc in PG(2, q ) for given integers n, r and q using the geometric structure of points and lines in PG(2, q ) for n > r ≥ 3. Using the geometric method and a computer, it is shown that there exists no (34, 3) arc in PG(2, 17), equivalently, there exists no [34, 3, 31] 17 code.This research was partially...
A new butterfly curve. (Eine neue Schmetterlingskurve.)
A new class of 2-transitive involutory permutation sets.
A New Class of Quasifields.
A new geometric inequality.
A new line Involution and the Classification Process