Notations and Opinions

[James Knight]

THIS POST WAS ORIGINALLY POSTED IN THE ZERATION THREAD BECAUSE THERE ARE IDEAS THAT RELATE TO ZERATION THAT I HAVE POSTED THERE. I THOUGHT I WOULD POST THIS HERE BECAUSE IT RELATES MORE TO NOTATION AND OPINION. ENJOY!
///The notation won't display right because the original post was deleted.. give me some time to fix this.... sorry!

Here is the notation I find easy to work with in my notebook. Tell me what you think.

Regular Operations

x[attachment=268]y = z

Left Inverse (Stick on the Left)

x = z[attachment=267]y

Right Inverse (stick to the right)

y = z[attachment=270]x

The Minus One Law in My Notation
(x[attachment=269]b) [attachment=270] (x) = x [attachment=269](b-1)

Logarithmic Notation
Also I am in the midst of developing a fractional notation as well as horizontal notation for logarithms.
log x (base 10) looks like this

x
~
10

or x~10
where the ~ is like a fraction line. I find the current/traditional notation clumsy.

for example

Code:

((a~b)~c) = log (log  a)
               c     b
and

a~(b~c) = log     a
             log b
                c

Anyway, I find the combination of the fractional and horizontal easier to manipulate.

Enjoy!
James