The z-transform as an Appropriation Technique

you know all those fourier and all those fancy smanchy transforms

are none but weighted summations

so z-transform is one of my favorite ( i don't know why it stuck with me probably the name of it and it is concrete i.e. it mostly applies to concrete sequences that is discrete

whereas Mr. Fourier is all over the place and nobody knows what he means

so here's your z transform

if you choose your pieces in this form 1, 2, 3, ...

which comes out in a nice form such as

and since i'm in good spirits i'll do the derivation which is

where we disguised 1/z as a in some point for easy manipulation
that's what we do in everyday life

[and this is how you avoid aggravation
hearing everybody's opinion and flub]

so you cut your original piece into little pieces and voila off you go

isn't that what we did in the first place?