论文标题
扩展复数的新建议
A new proposal to the extension of complex numbers
论文作者
论文摘要
我们建议将复数的扩展扩展为新概念，例如负面概率和虚构概率。新空间的单位定义为复杂域中无法解析方程的解：$ | z |^2 = z^* z = i $。封闭域中无法解析的方程的存在是复合物的定义，即新型乘法的定义，因为不违反代数的基本定理。新空间的定义还请求包含新的映射操作，因此新扩展数字的绝对值是真实和正面的。我们研究矢量空间的特性，例如正定性，线性和共轭对称性。
We propose the extension of the complex numbers to be the new domain where new concepts, like negative and imaginary probabilities, can be defined. The unit of the new space is defined as the solution of the unsolvable equation in the complex domain: $|z|^2= z^* z = i$. The existence of the unsolvable equation in a closed domain as complex's lead to the definition of a new type of multiplication, for not violate the fundamental theorem of algebra. The definition of the new space also requests the inclusion of a new mapping operation, so the absolute value of the new extended number being real and positive. We study the properties of the vector space like positive-definiteness, linearity, and conjugated symmetry.
