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]
denotes a gate. In decimal system gate is denotes as
n[52]n[5*2]
. Using polish reverse notation
n[22+12]n[2*2+1*2]
.
Using additionally the operator language:
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^n
into presented here, gated notation.
g(...)\overline{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,...)
denotes a gating function, with a gate for decimal numerical system.

Example

ǥ(1,2,3)=12310ǥ(1,2,3) = 123_{10}

TODO

  • Operator language
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