Gates

Unified notation and clarification representing numerical systems with different bases.

Purpose
Handy symbolic clarification of numerical expression in all numerical system. Gate is simply the base of the numerical system.
Gate notation
​n[g]n[g]n[g]
denotes a gate. In decimal system gate is denotes as n[5∗2]n[5*2]n[5∗2]
. Using polish reverse notationn[2∗2+1∗2]n[2*2+1*2]n[2∗2+1∗2]
.
Using additionally the operator language: n[∗+∗]n[*+*]n[∗+∗]
is a gate of decimal numeric system. I'll later describe in more detailed way, how to convert from standard notation being something like 10n10^n10n
 into presented here, gated notation. g‾(...)\overline{g}(...)g​(...)
is a gating function, or glueing function. It takes arguments, and glues them with the assigned gate. ǥ:=n[∗+∗]∣g‾(a,b,...)ǥ:= n[*+*] | \overline{g}(a,b,...)ǥ:=n[∗+∗]∣g​(a,b,...)
 denotes a gating function, with a gate for decimal numerical system.
Example
​ǥ(1,2,3)=12310ǥ(1,2,3) = 123_{10}ǥ(1,2,3)=12310​
​
TODO
Operator language
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Transcendental operator

3(Pr)

Last modified 10mo ago