https://drcicero.github.io/posts/ Recent content in Blog on My New Hugo Site Hugo -- gohugo.io en-us Tue, 09 Aug 2022 00:00:00 +0000 https://drcicero.github.io/posts/2022-08-09/ Tue, 09 Aug 2022 00:00:00 +0000 https://drcicero.github.io/posts/2022-08-09/ let o be the function composition function, and . the corresponding infix binary operator, i.e.: o g f := g . f := \x. g (f x) let f^n be the n-th repitition of the function f, i.e.: f^0 := id f^(Sn) := f . f^n let f_n be the n-th shift of the function f, i.e.: f_0 := id f_(S n) := o^n f observe repeating composition increases bracket width o^0 = id = \a b c d e f g. https://drcicero.github.io/posts/2021-07-04/ Sun, 04 Jul 2021 00:00:00 +0000 https://drcicero.github.io/posts/2021-07-04/ iconic math is something weird and beautiful. in this post we look at what i think is called the arithmetic interpretation of james algebra [Iconic Arithmetic I, Iconic Arithmetic III], a particular interpretation of a particular form of iconic math. an expression of james algebra is formed by well-bracketed strings with three kinds of brackets – angle, round and square ()[]<>. further, we may use letters to represent variables a, b, c, …, e.