Hi :-) I have questions regarding the binary properties of numbers. I would like to discuss some very specific attributes of "scalar" values. IF the goal is to compile a pattern recognition algorithm instead of training it with test sets, Then I am investigating a method for the compilation of neural nets/matrices and attempting induction instead of deduction as in "Curve Fitting". This attempt has introduced speculation that requires more information outside of the box "standard mathematics" in order to determine the validity of this direction of research. To dicuss this, i need the proper forum and the proper individual(s) that can step outside of the box. Please point me where I can learn how to articulate the following in order to be able to ask the right questions. #1 Inside of the box that is standard mathematics a scalar has magnitude and no direction. x=100 in decimal or 1010 in binary is a count when using the base 10 algorithm and iterating from rightmost digit to leftmost digit. effectively counting. Outside of the box every scallar has direction when reversing the direction of the counting algorithm and using a measuring algorithm starting from left most digit to rightmost. in other words, the result when treating the scalar as a measure instead of a count, results in a "path" or measurement (not a count as in the previous example.) 1010 from left to right indicates the 1st half of the 2ndhalf of the 1sthalf of the 2ndhalf. This behaviour facinates me. has anyone any books, papers, or references on this strange topic in relation to curve fitting? A name, anything?