This is a loose collection of alternate operator names that I'm somewhat fond of. The central idea here is to remain reasonably close to standard symbols, while providing extra mnemonic value and symmetry, plus more consistency in fixities.
The basic rationale is as follows:
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The default fixity for application should be left-to-right; any family of operators should either have the default direction only, or should provide both.
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Application should be of lower precedence than composition, or equal if the fixities are such that compositions will group together anyway.
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Families of related operators should have visually-related symbols, compatible fixities, and mnemonic value indicating their direction if the both are present. When directions are indicated, the two should be mirror images of each other visually.
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Don't rename standard operators if they're mostly consistent with these guidelines, and try not to confuse things when replacing standard operators.
By default, this re-exports two modules: Control.Apply.Lifting
defines lifted application operators for Monad and Applicative,
re-exporting several standard operators as well.
Control.Apply.Pseudosyntactic defines very low-precedence
operators for regular functions, intended to serve as pseudo-syntactic
constructs in the same manner that the standard definition of ($) does.
The additional module Control.Apply.Confusing redefines operators
from the standard libraries to have different fixities. Probably not
recommended for actual use, but it's what I wish things were.