%0 Journal Article %T A Generalized Composition of Quadratic Forms based on Quadratic Pairs %A Roland L£¿tscher %J Mathematics %D 2008 %I arXiv %X For quadratic spaces which represent 1 there is a characterization of hermitian compositions in the language of algebras-with-involutions using the even Clifford algebra. We extend this notion to define a generalized composition based on quadratic pairs and determine the degrees of minimal compositions for any given quadratic pair. %U http://arxiv.org/abs/0809.4123v1