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Unrelated: thank you for using “idempotent” correctly. Too many people use it to mean referential transparency or having a functionality property

wooow, so can we think of Black as outputing a projection of your source code in some space ?

Off the top of my head, sure, you could think of things that way, but I don't see that you get a lot out of that framing.

wut? idempotent is any operator T such that T^2=e the identity. for example ring elements can be idempotent https://en.m.wikipedia.org/wiki/Idempotent_(ring_theory). it's not just characteristic of linear operators.

Idempotence means T^2=T. Are you thinking of involution? https://en.wikipedia.org/wiki/Involution_(mathematics)

you're right i'm wrong. but my saving grace is that they're related https://en.wikipedia.org/wiki/Idempotent_(ring_theory)#Relat...