finite geometry

countable uncountable

(geometry) Any geometric system that has only a finite number of points. / (geometry, uncountable) The branch of geometry that concerns geometric systems with only a finite number of points.

Japanese Meaning

有限個の点のみを持つ幾何学的体系、またはその研究分野。 / 有限な点集合に基づく幾何学システムに関連する幾何学の一分野。

What is this buttons?

Researchers discovered new properties of finite geometry that could improve error-correcting codes.

Google Translation / DeepL Translation

研究者たちは誤り訂正符号を改善できる可能性のある有限幾何学の新しい性質を発見した。

Details

Sense（1）

(geometry) Any geometric system that has only a finite number of points.

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.

Google Translation / DeepL Translation