Concerning A Special Summation That Preserves The Base-10 Orthogonal Symbol Set Identity In Both Addends And The Sum

<b>PAPER TITLE: </b>Concerning A Special Summation That Preserves The Base-10 Orthogonal Symbol Set Identity In Both Addends And The Sum<b>ABSTRACT:</b>While working on another paper (yet to be published) on the matter of random number generators and some number theoretic ideas, the author has identified a very queer, but interesting summation operation involving two special pure numbers that produce another interesting pure number, with the three numbers having the special property that they all preserve the orthogonal symbol set identity of base-10 and $\psi_{10}$. This paper formally presents this interesting observation and the accompanying results for the first time, and explains how it was arrived at --- how it can be reproduced, as well as why it might be important and especially unique and worthy or further exploration.<b>KEYWORDS</b>: Number Theory, Symbol Sets, Arithmetic, Identities, Permutations, Magic Numbers, Cryptography<b>ABOUT PAPER:</b> Apart from furthering (with 4 new theorems and 9 new definitions) the mathematical ideas concerning symbol sets for numbers in any base that were first put forward in the author's GTNC paper from 2020, this paper presents some new practical methods of generating special random numbers with the property that they preserve the base-10 o-SSI.