AbstractAll axiom systems are derived which define finite affine planes and consist of certain combinatorial inequalities or equalities involving the number of lines connecting two distinct points the number of lines through a point the number of points on a line, the total number of points or the total number of lines. The result given in Dembowski book Finite Geometries are corrected
研究成果の概要(和文): 暗号理論では有限体上の関数で非線形度が高いものが重要である. そのような関数の一つにAPN関数がある. これらをEA同値類にわけて考える. 当研究では2元体のn次線形群が作用...
AbstractWe prove the following characterization theorem: If any three of the following four matroid ...
Includes bibliography.281 p ; 30 cm.Title page, contents and abstract only. The complete thesis in p...
AbstractAll axiom systems are derived which define finite affine planes and consist of certain combi...
Recall that a finite Affine plane of order n must have n-squared points n-squared + n lines, with n ...
AbstractLet A be a subvariety of affine space An whose irreducible components are d-dimensional line...
Abstract. We consider a modal language for affine planes, with two sorts of formulas (for points and...
Graduation date: 1964Among the geometries with n points on every line (with n\ud an integer greater ...
AbstractLinear spaces are investigated using the general theory of “Rings of Geometries I.” By defin...
AbstractThe axioms of projective and affine plane geometry are turned into rules of proof by which f...
A method of using polynomials to describe objects in finite geometries is outlined and the problems...
AbstractA study is made of two generalizations of affine Hjelmslev planes in which the parallel axio...
Summary A method of using polynomials to describe objects in finite geometries is outlined and the p...
Abstract. We consider finite systems of straight lines in the Euclidean plane R2 with some of their ...
An effective tool to really understand Euclidean geometry is the study of alternative models and the...
研究成果の概要(和文): 暗号理論では有限体上の関数で非線形度が高いものが重要である. そのような関数の一つにAPN関数がある. これらをEA同値類にわけて考える. 当研究では2元体のn次線形群が作用...
AbstractWe prove the following characterization theorem: If any three of the following four matroid ...
Includes bibliography.281 p ; 30 cm.Title page, contents and abstract only. The complete thesis in p...
AbstractAll axiom systems are derived which define finite affine planes and consist of certain combi...
Recall that a finite Affine plane of order n must have n-squared points n-squared + n lines, with n ...
AbstractLet A be a subvariety of affine space An whose irreducible components are d-dimensional line...
Abstract. We consider a modal language for affine planes, with two sorts of formulas (for points and...
Graduation date: 1964Among the geometries with n points on every line (with n\ud an integer greater ...
AbstractLinear spaces are investigated using the general theory of “Rings of Geometries I.” By defin...
AbstractThe axioms of projective and affine plane geometry are turned into rules of proof by which f...
A method of using polynomials to describe objects in finite geometries is outlined and the problems...
AbstractA study is made of two generalizations of affine Hjelmslev planes in which the parallel axio...
Summary A method of using polynomials to describe objects in finite geometries is outlined and the p...
Abstract. We consider finite systems of straight lines in the Euclidean plane R2 with some of their ...
An effective tool to really understand Euclidean geometry is the study of alternative models and the...
研究成果の概要(和文): 暗号理論では有限体上の関数で非線形度が高いものが重要である. そのような関数の一つにAPN関数がある. これらをEA同値類にわけて考える. 当研究では2元体のn次線形群が作用...
AbstractWe prove the following characterization theorem: If any three of the following four matroid ...
Includes bibliography.281 p ; 30 cm.Title page, contents and abstract only. The complete thesis in p...