论文标题
二次形式及其数字系统和几何形状
Quadratic Forms and their Number Systems and Geometry
论文作者
论文摘要
四季度，四季度和混合数是众所周知的数字系统。这些数字系统用于在欧几里得和洛伦兹的空间中制作几何形状。这些数字系统可以在二次形式的帮助下获得。本文研究了如何找到任何二次形式的相应数字系统。由于这项检查，获得了双线性形式，矢量产物，偏斜对称矩阵和与任何数字系统相对应的旋转矩阵。
Quaternions, split quaternions, and hybrid numbers are very well-known number systems. These number systems are used to make geometry in Euclidean and Lorentz spaces. These number systems can be obtained with the help of a quadratic form. This article examines how to find the corresponding number system for any quadratic form. As a result of this examination, bilinear form, vector product, skew-symmetric matrix, and rotation matrices corresponding to any number system were obtained.
