广义四元数群的循环扩张

The Application of Positive Definite Quadratic

称群G是群F的循环扩张,如果N是G的正规子群,F是循环群,并且G/N≌F.文章运用循环扩张理论分类了广义四元数群被2阶群的扩张和4阶循环群的扩张.

The paper mainly tells us that some of the application about positive definite matrices.from the positive definite quadratic in quadratic curves and quadric surface,we get some applications about proving plane n point of line and inequality proof,discriminant function of many extreme value,cauchy inequality in the application of the actual life.