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zozbot234 5 days ago

The so-called "Z transform" for discrete sequences is really just a misnomer for the actual method of generating functions (and formal power-series/Laurent-series). You just write a discrete sequence as a power series in z^(-1).

segfault99 5 days ago | parent | next [-]

True dat. But you see there's this thing called 'Engineering Maths'. Apparently it's really bad for real mathematicians' blood pressure.

zozbot234 5 days ago | parent [-]

Analytic combinatorics (the rubric where mathematicians would want to place all the region-of-convergence, zeros-poles, etc. analysis of generating functions–formal power/Laurent series–Z transforms that engineering often focuses on) is not exactly easy-going either. Other common methods (relating convolution to multiplication, inverting transforms etc.) would traditionally be comprised under the Operational Calculus of Mikusiński.

segfault99 3 days ago | parent [-]

I forgot to mention the converse also applies. Mathematicians talking about stuff we engineers learned the paint by numbers way makes our heads hurt!

srean 4 days ago | parent | prev [-]

> really just a misnomer

No. Things acquire different names if they are independently discovered by different communities.

Native Americans called Indians. Lol! what was that.