Hello, you have come here looking for the meaning of the word finite geometry. In DICTIOUS you will not only get to know all the dictionary meanings for the word finite geometry, but we will also tell you about its etymology, its characteristics and you will know how to say finite geometry in singular and plural. Everything you need to know about the word finite geometry you have here. The definition of the word finite geometry will help you to be more precise and correct when speaking or writing your texts. Knowing the definition offinite geometry, as well as those of other words, enriches your vocabulary and provides you with more and better linguistic resources.
1980, Judson Chambers Webb, Mechanism, Mentalism and Metamathematics: An Essay on Finitism, Springer, page 39:
But the work of von Staudt, Fano, and Veblen led even to the construction of finite geometries having only finitely many points and lines. Originally having only incidence relations, these finite geometries have been extensively developed through the introduction of suitable axioms of order and congruence by Järnefelt and Kustaanheimo, who have proposed their use in physics to solve certain paradoxes due apparently to the use of continuous variables.
1999, S. Ball, “Polynomials in Finite Geometries”, in J. D. Lamb, D. A. Preece, editors, Surveys in Combinatorics, 1999, Cambridge University Press, page 17:
A method of using polynomials to describe objects in finite geometries is outlined and the problems where this method has led to a solution are surveyed.
Finite geometries, such as Euclidean and projective geometries, are powerful mathematical tools for constructing error-control codes.
(geometry,uncountable) The branch of geometry that concerns geometric systems with only a finite number of points.
1983, Robert A. Liebler, “Combinatorial Representation Theory and Translation Planes”, in Norman L. Johnson, Michael J. Kallaher, Calvin T. Long, editors, Finite Geometries: Proceedings of a Conference, CRC Press, page 307:
The coordinates of geometry were as incompatible with representation theory as were the splitting fields of representation theory with finite geometry.
1996, Dieter Jungnickel, “Maximal Sets of Mutually Orthogonal Latin Squares”, in S. Cohen, H. Niederreiter, editors, Finite Fields and Applications: Proceedings of the 3rd International Conference, Cambridge University Press, page 129:
We give a survey on a topic in Finite Geometry which has generated considerable interest in the literature: the construction of maximal sets of mutually orthogonal Latin squares (MOLS) or, equivalently, of maximal nets.
2007, Michael B. Smyth, Julian Webster, “12: Discrete Spatial Models”, in Marco Aiello, Ian E. Pratt-Hartmann, Johan F. A. K. van Benthem, editors, Handbook of Spatial Logics, Springer, page 787:
Finite geometry is a broad area of research, but much of it is not Euclidean in flavour and no theory seems to match that of oriented matroids in establishing combinatorial Euclidean geometry.
Galois geometry on Wikipedia.Wikipedia 