首页> 外文期刊>Mathematical Methods in the Applied Sciences >Components exponential scator holomorphic function
【24h】

Components exponential scator holomorphic function

机译:组件指数速度血管核心功能

获取原文
获取原文并翻译 | 示例
       

摘要

The components exponential scator function, succinctly labeled "cexp," is a function of scator variable in 1+n dimensional elliptic scator algebra. This function is introduced here, and its elementary properties are studied. In 1+1 dimensions, the cexp function becomes the usual complex exponential function of complex variable. The cexp function is shown to be scator holomorphic in the entire scator set according to the differential quotient criterion. The scator derivative of the cexp function is the cexp function itself. The relationship between the Cartesian and polar forms of the cexp function can be seen as a higher-dimensional extension of Euler formula. The mappings of grids in 1+2 dimensional space exhibit ellipses and Lissajous-like figures in addition to circles and radial lines. A cusphere surface is generated for the isometric condition in the function's image. An interesting application of the cexp function as propagators regarding the quantum measurement problem is outlined.
机译:成分指数Scator函数,简洁地标记为“Cexp,”是1 + N维椭圆Scator代数中Scator变量的函数。此处介绍了该功能,研究了其基本属性。在1 + 1维度中,Cexp函数成为复数变量的通常复杂的指数函数。根据差分商标准,将Cexp函数显示为在整个Scator集中的蝎子托运。 Cexp函数的Scator导数是Cexp函数本身。 Cexp函数的笛卡尔和极性形式之间的关系可以被视为欧拉公式的高尺寸延伸。除了圆圈和径向线之外,1 + 2尺寸空间中的网格的映射也表现出椭圆和类似于椭圆形图。为函数图像中的等距条件生成一个角色曲面。概述了一种有趣的应用程序作为关于量子测量问题的传播者的应用。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱:kefu@zhangqiaokeyan.com

京公网安备:11010802029741号 ICP备案号:京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有
  • 客服微信

  • 服务号