Anonymous ID: 6ec9a0 July 9, 2021, 8:02 p.m. No.14091665   🗄️.is 🔗kun

>>14091605

Any newfags around?

^(?!(\bAnonymous\b|\bQ\b)).*$

Copy the code and follow the instructions. If you see Gary, you're doing this wrong.

Anonymous ID: 6ec9a0 July 9, 2021, 8:29 p.m. No.14091797   🗄️.is 🔗kun

>>14091738

Well played.

 

>Euclidean space is the fundamental space of classical geometry. Originally, it was the three-dimensional space of Euclidean geometry, but in modern mathematics there are Euclidean spaces of any nonnegative integer dimension,[1] including the three-dimensional space and the Euclidean plane (dimension two). It was introduced by the Ancient Greek mathematician Euclid of Alexandria,[2] and the qualifier Euclidean is used to distinguish it from other spaces that were later discovered in physics and modern mathematics.

 

>Ancient Greek geometers introduced Euclidean space for modeling the physical universe. Their great innovation was to prove all properties of the space as theorems by starting from a few fundamental properties, called postulates, which either were considered as evident (for example, there is exactly one straight line passing through two points), or seemed impossible to prove (parallel postulate).

 

>After the introduction at the end of 19th century of non-Euclidean geometries, the old postulates were re-formalized to define Euclidean spaces through axiomatic theory. Another definition of Euclidean spaces by means of vector spaces and linear algebra has been shown to be equivalent to the axiomatic definition. It is this definition that is more commonly used in modern mathematics, and detailed in this article.[3]