Malo Tarpin

@tao@mathstodon.xyz the transition from proofs-as-food to proofs-as-children gave me a slight whiplash ^^ That being said, the observation that progenitors are not always caretakers may shed some lights on some occurences of Stigler's law...

@hallasurvivor you use it to design filters and assess their properties by looking at the poles of their Z-transform. For example, conventions are usually set such that a causal filter is "stable" (does not produce infinite output from finite input) if none of its poles lie in in the unit disk. You can look up linear time-invariant systems for more informations.

@tao@mathstodon.xyz thank you for submitting yourself to this exercices. Albeit one could regret you kept it very self-referential by not seeking a ferocious technical human journaliste to interview you, one must recognize that the LLM questions were rather surgical. One angle which was glaringly absent in my eyes (and maybe for good reason because I feel you are usually silent about it) is the huge environmental cost of AI. How do you compound it with the current state of the world and where we are headed? Do you hope that more parsimonious use of lighter models could fit into a zero CO2 emission world? I feel like as a society we are extremely bad at cutting back on established habits so right now we are hurtling down a slope which will be very hard to come back up from.

@hallasurvivor if I understand correctly what you mean, this is pretty well-known in signal processing under the name Z-transform. Although it's not exactly the same as a Fourier transform because you're not limited to the unit circle so there is fun to have with the Hardy space and such.

@Artemis201@mstdn.social Ok, but hear me out, what if the spell is more like a soliton?

@hallasurvivor@sunny.garden 👀 what kind of condensed matter? The cold kind or the squishy kind? Cf cond mat categories on arxiv