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Birth of Compound Numbers

机译：复合数字的诞生

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In this paper the author introduces a new kind of numbers called by ‘Compound Numbers’. A region R may or may not have imaginary object. A region even may have more than one imaginary objects too. Corresponding to an imaginary object (if exists) of a region R, we get compound objects for the region R. Imaginary objects and compound objects of a region R are not members of R and so they are called imaginary with respect to the region R only (i.e. it is a local characteristics property with respect to the region concerned), as they could be core members of another region. Every region has its own set of imaginary numbers (if exist). As a particular instance, the compound objects of the set of real numbers are the complex numbers (of existing concept). In this paper the author discovers imaginary objects of the region C (the set of complex numbers). The compound objects of C are called by ‘compound numbers’. Collection of all compound numbers is denoted by the set E. This work just reports the birth of compound numbers, not further details at this stage. It is claimed that “Theory of Numbers” will get a new direction by the birth of compound numbers. A new “Theory of Objects’ and the classical “Theory of Numbers” as a special case of it were also studied in . In this paper we say that every complete region has its own ‘Theory of Numbers’, where the classical ‘theory of numbers’ is just a special instance corresponding to a particular complete region RR. Consequently, we also introduce a new field called by “Object Geometry” of a complete region, being a generalization of our classical geometry of the existing style, from elementary to the higher level.
机译：在本文中，作者介绍了一种称为“复数”的新型数字。区域R可以具有或可以不具有假想的物体。一个区域甚至可能还具有多个假想对象。对应于区域R的虚构对象（如果存在），我们获得区域R的复合对象。区域R的虚构对象和复合对象不是R的成员，因此仅相对于区域R被称为虚构对象（即，它是有关区域的本地特色属性），因为它们可能是另一个区域的核心成员。每个区域都有自己的一组虚数（如果存在）。作为一个特定实例，实数集的复合对象是（现有概念的）复数。在本文中，作者发现了区域C（复数的集合）的虚构对象。 C的复合对象称为“复合数”。所有化合物编号的集合都用集合E表示。这项工作仅报告化合物编号的诞生，在此阶段没有进一步的详细信息。据称，“数论”将因复合数的诞生而获得新的发展方向。在中还研究了新的“对象理论”和经典的“数论”作为特例。在本文中，我们说每个完整区域都有自己的“数字理论”，其中经典的“数字理论”只是对应于特定完整区域RR的特殊实例。因此，我们还引入了一个完整区域的称为“对象几何”的新字段，它是对现有样式从基本到较高级别的经典几何的概括。

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