1 Hexagon Chess Under non-Euclidean Space.

2 Triangle Chess Under Non-Euclidean Space.

3 A new non-Euclidean distance was introduced to replace the Euclidean distance in the IPCM, and then a new fuzzy clustering, called novel improved possibilistic C-means(NIPCM)clustering was proposed.

4 The paper introduces the one of non-euclidean geometry - hyperbolic geometry into special theory of relativity.

5 So, they try to prove axiom and also established similarly two new opposite field: non-Cantor's set theory and non-Euclidean geometries.

6 He contemplates the book for hours as random, meaningless, non-Euclidean reality invades it, forcing it to register the presence of a world it cannot describe.

7 Observer B concludes that there must be some connection between this 'force' and the non-Euclidean geometry she finds.

8 Aim To study the relations between the thought of Gaussian intrinsic differential geometry and Gauss's earlier research on non-Euclidean geometry.

9 This appendix proved to be one of the foundations of non-Euclidean geometry; it was a mathematical landmark worth far more than anything else in the book.

10 Einstein did not, but his brilliant intuition led him to study and adopt the obscure non-Euclidean geometry of Riemann and Gauss for his geometric theory of gravity.

11 However, there is not an efficient index applied to aggregate queries over data streams in two-dimensional non-Euclidean spatial road networks until now.

12 This article starts with the definition of the Euclidean Geometry and the Non-Euclidean Geometry.

13 The discovery of hyperbolic space ushered in the field of mathematics that is called non-Euclidean geometry.

14 This paper analyzes the space context of the Kunsthaus Graz designed by Peter Cook and Colin Fournier, try to find the shadow of traditional space in the shape of non-euclidean geometry.

15 The first section, we study the history of the occurrence and development of non-Euclidean geometry learning, looking for a place to explain.