A Nobel Prize Theory ?
Since the junior schooldays, the editor has been crazy about mathematics. The first subject impressed him most is Geometry, especially in proving geometrical equivalence with constructional method. From there, he has been trained up with diversified ways of creative thinking - some rational and some "irrational". Most of these strange thoughts turned out to fall in the deep sea. But till now, there are still quite a few left worth our readers' criticism. Many years ago at the age about 15, the editor thought that he was already quite capable of playing around with most mathematical gimmicks, a little bit of Trigonometry, Probability, Algebra and Calculus...differentiation, integration, curvilinear motion, variational methods, Taylor's Formula, etc. At an instance, he got an inception from the shortcoming of Complex Number System. From there, a new number system came into being, so called...
In the introduction page when the editor first developed the new theory, he wrote, "The So-called Number System is quite a mysterious and challenging term which is purposely named. You will certainly have some strange feelings when you first see these wordings. It is my own intention, however, to give you a thorough concept of complex numbers and even more than these."
He continued, "The definition of complex numbers laid down by most mathematics text books are not absolutely convincing, for example, they consider the subject of imaginary numbers to be the study of i (√-1) without any solid reasoning. Is it the only number that is related to the entire unreal? Of course not! They do not explain clearly why they conclude all complex numbers to be in the form of x+yi. It always makes new learners having a wrong impression that numbers are bounded to be in form of x+yi where x & y are real numbers. Furthermore, numbers such as log 0 and 1/0 are asserted to be indefinable. What does 'indefinable' mean? In the world of pure mathematics and science, it is unacceptable to neglect the importance of the existence of such numbers. Do you agree? Why not we include these types of 'so-called' numbers into a wider category over the traditional Complex Number System and name it as the unprecedented So-called Number System."
He added, "We cannot assure that numbers in every nature must be correlated to or expressed in any particular common numerical form with no exception. But we are sure that they do at least exist and share the same timeline at the time they are used in any kind of expression or operation." From there, several associated theorems were developed and cross-verified to include the add-on characteristics of this new number system. Here, the editor has little intention to show them on the web as each theorem by itself would probably require a separate textbook to cover. As you will discover later, in terms of its extended implications, what we concern is more than just a mathematical theory but...
