An axiomatic treatment of ratios in an affine plane

Heinz Lüneburg

doi:10.1007/bf01898840

An axiomatic treatment of ratios in an affine plane

Archiv der Mathematik ◽

10.1007/bf01898840 ◽

1967 ◽

Vol 18 (4) ◽

pp. 444-448 ◽

Cited By ~ 7

Author(s):

Heinz Lüneburg

Keyword(s):

Affine Plane ◽

Axiomatic Treatment

On a conjecture of Hughes

Mathematical Proceedings of the Cambridge Philosophical Society ◽

10.1017/s030500410004161x ◽

1967 ◽

Vol 63 (3) ◽

pp. 647-652 ◽

Cited By ~ 2

Author(s):

Judita Cofman

Keyword(s):

Projective Plane ◽

Permutation Group ◽

Translation Plane ◽

Collineation Group ◽

Affine Plane ◽

Finite Projective Plane ◽

Transitive Permutation Group ◽

Condition C

D. R. Hughes stated the following conjecture: If π is a finite projective plane satisfying the condition: (C)π contains a collineation group δ inducing a doubly transitive permutation group δ* on the points of a line g, fixed under δ, then the corresponding affine plane πg is a translation plane.

Bayesian Nash Equilibrium in Electricity Spot Markets: An Affine-Plane Approximation Approach

IEEE Transactions on Control of Network Systems ◽

10.1109/tcns.2021.3128510 ◽

2021 ◽

pp. 1-1

Author(s):

Pranjal Pragya Verma ◽

Mohammad Hesamzadeh ◽

Ross Baldick ◽

Darryl Biggar ◽

K. Shanti Swarup ◽

...

Keyword(s):

Nash Equilibrium ◽

Affine Plane ◽

Spot Markets ◽

Approximation Approach ◽

Bayesian Nash Equilibrium ◽

Electricity Spot Markets

Algebraic Characterization of the Affine Plane and the Affine 3-Space

Topological Methods in Algebraic Transformation Groups ◽

10.1007/978-1-4612-3702-0_12 ◽

1989 ◽

pp. 177-190 ◽

Cited By ~ 4

Author(s):

Toru Sugie

Keyword(s):

Affine Plane ◽

Algebraic Characterization

An Axiomatic Treatment of Enlarged Separation Portfolios and Treasurer’s Portfolios (with Applications to Financial Synthetics)

SSRN Electronic Journal ◽

10.2139/ssrn.1435509 ◽

2009 ◽

Author(s):

Rodolfo Apreda

Keyword(s):

Axiomatic Treatment

On the axiomatic treatment of probability

Colloquium Mathematicum ◽

10.4064/cm-3-2-125-137 ◽

1955 ◽

Vol 3 (2) ◽

pp. 125-137 ◽

Cited By ~ 17

Author(s):

J. Łoś

Keyword(s):

Axiomatic Treatment

On the Non-Existence of Certain Hyperovals in Dual André Planes of Order $2^{2h}$

The Electronic Journal of Combinatorics ◽

10.37236/912 ◽

2008 ◽

Vol 15 (1) ◽

Author(s):

Angela Aguglia ◽

Luca Giuzzi

Keyword(s):

Affine Plane ◽

Dimension 2 ◽

Desarguesian Affine Plane

No regular hyperoval of the Desarguesian affine plane $AG(2,2^{2h})$, with $h>1$, is inherited by a dual André plane of order $2^{2h}$ and dimension $2$ over its kernel.

Abelian Subgroups of $\mathrm{Aut}_{k}(k[X,Y])$ and applications to actions on the affine plane

Illinois Journal of Mathematics ◽

10.1215/ijm/1256047936 ◽

1979 ◽

Vol 23 (4) ◽

pp. 579-634 ◽

Cited By ~ 23

Author(s):

David Wright

Keyword(s):

Affine Plane ◽

Abelian Subgroups

General number systems and the axiomatic treatment of algebra

Algebra in Ancient and Modern Times - Mathematical World ◽

10.1090/mawrld/012/14 ◽

1998 ◽

pp. 127-135

Keyword(s):

Number Systems ◽

Axiomatic Treatment ◽

General Number

An axiomatic treatment of ALGOL 68 routines

Automata, Languages and Programming - Lecture Notes in Computer Science ◽

10.1007/3-540-09510-1_43 ◽

1979 ◽

pp. 530-545 ◽

Cited By ~ 9

Author(s):

Richard L. Schwartz

Keyword(s):

Axiomatic Treatment ◽

Algol 68

A PROOF OF THE PROJECTIVE DESARGUES AXIOM IN THE DESARGUESIAN AFFINE PLANE

Demonstratio Mathematica ◽

10.1515/dema-2004-0413 ◽

2004 ◽

Vol 37 (4) ◽

Author(s):

Małgorzata Prażmowska

Keyword(s):

Affine Plane ◽

Desarguesian Affine Plane