Titlebook: Automated Deduction in Geometry; Second International Xiao-Shan Gao,Dongming Wang,Lu Yang Conference proceedings 1999 Springer-Verlag Berli

无畏

南极

PACT

Malfunction

stratum-corneum

Solving Geometric Problems with Real Quantifier Elimination,this note, we discuss the applicability of implemented quantifier elimination algorithms for solving geometrical problems. In particular, we demonstrate how the tools of redlog can be applied to solve a real implicitization problem, namely the Enneper surface.

reflection

Automated Discovering and Proving for Geometric Inequalities, Some well-known algorithms are complete theoreticallyb ut inefficient in practice, and cannot verify non-trivial propositions in batches. In this paper, we present an efficient algorithm to discover and prove a class of inequality-type theorems automatically by combining discriminant sequence for p

行乞

agenda

有帮助

Plane Euclidean Reasoning,ectangles, circles, lines, parallelism, perpendicularity, area, orientation, inside and outside, similitudes, isometries, sine, cosine, .... It should be able to construct and transform geometric objects, to compute geometric quantities and to prove geometric theorems. It should be able to call upon

使人烦燥

A Clifford Algebraic Method for Geometric Reasoning,tions in 2D and/or 3D Euclidean space with Clifford algebraic expression. Then we present some rules to simplify Clifford algebraic polynomials to the so-called final Clifford algebraic polynomials. The key step for proving the theorems is to check if a Clifford algebraic expression can be simplifie