Functions and Analysis


Improvement On Operator Axioms And Fundamental Operator Functions

Authors: Pith Xie

The Operator axioms have been contructed to deduce number systems. In this paper, we slightly improve on the syntax of the Operator axioms and construct a semantics of the Operator axioms. Then on the basis of the improved Operator axioms, we define two fundamental operator functions to study the analytic properties of the Operator axioms. Finally, we prove two theorems about the fundamental operator functions and pose some conjectures. Real operators can give new equations and inequalities so as to precisely describe the relation of mathematical objects or scientific objects.

Comments: 28 Pages.

Download: PDF

Submission history

[v1] 2014-12-01 01:59:59
[v2] 2014-12-13 20:30:23
[v3] 2015-06-06 20:50:20
[v4] 2015-09-18 03:36:17
[v5] 2015-12-28 21:16:51
[v6] 2017-05-13 09:10:07

Unique-IP document downloads: 122 times is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary. In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution. will not be responsible for any consequences of actions that result from any form of use of any documents on this website.

Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.

comments powered by Disqus