The key to success in creating big numbers is repetition:
the rep.
We repeat number variables x
and words X in various ways.
A word is a sequence of characters.
Listing examples of the rep notations we use.
-
a..
some finite series of addeda -
Wa.. :n3
= WaWaWa.Wa.. :n
rep of wordWand variable a -
a*b =
a.. :b
multiply, rep a times b, by natural addition, e.g.
2*3 = 11*3 = 11+11+11= 111111 = 6 -
(X){3}
= X{3} = XXX
= X{2}{2} = X{2}X{1}
word group, regex quantifier, left associative. -
E(2,4) =
E(2+E(2,3))
== E(2+..E(2,1)..) :3:
= E(2+..E(2)..) :3:
= E(2+..2..) :3:
= E(2+..22..) :2:
== 2222
= 11111111 = 8
function steps for the multiplication2*4, known as4×2
using double reps, from outside to the middle. -
1... = ω
units one, no halt, counts to infinity
Rep of numbers is repeated addition.
Units 1
and in general any number of units,
naturally add up by removing the plus + in between.
Variables ab
and numbers 22=4
are coloured green here,
when they are already appended.
Repeat the negative unit -
to create the negative numbers
-{n}
= -*n
Or append it to count off
n-
natural numbers.
The result when we add
1- is naturally empty.
We let 0 denote an empty entry.
Numerical expressions in other formats, such as the decimal numbers,
usually don't add up by appending them.
For number variables natural addition always works.
The plus a+b
is a temporary lock on addition,
for people to do work on formatting numbers.
Feeble colleagues who write
mc2
to express multiplication c*c*m
are by nature physicists.
Their pretence is a dishonour to the mathematical profe$$ion.
And the little ones 11 suffer.
Bollocks!!
Mother nature codes all information in our DNA and organisms that behave wrongly – working all night on their anarchistic scheming – will lose opportunities to share their genetic code and perish as a result. Don't let this happen!
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