Math with Bad DrawingsCartoon Archive

Let's Iterate on That

July 23, 2024Original blog post

A mathematician takes the jargon 'let's iterate' literally, panicking over cycles, fixed points and sensitive dependence in the company's planning process.

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Free for classrooms, worksheets, slides and other non-commercial use under CC BY-NC 4.0, with credit to Ben Orlin.

Cartoon by Ben Orlin, Math with Bad Drawings. https://cartoons.mathwithbaddrawings.com/2024-07-23-let-s-iterate-on-that/ (CC BY-NC 4.0)
Transcript

[Post subtitle] "Business jargon… and its mathematical dangers."

[1] Boss: "Good meeting, everyone. Let's keep iterating on this." Mathematician: *gasp*

[2] "Iterate? You want to take this plan of action, run it back through the process that produced it, and thus produce a new plan?" Boss: "Um… yes?"

[3] "And then do the same with the resulting plan? Over and over? To form a kind of dynamical planning system?" [chart: initial plan → Plan Process → output, looping back]

[4] "But… what if the system falls into an endless cycle, so f(Plan A) = Plan B, but f(Plan B) = Plan A?"

[5] "Or what if our plan converges to some fixed point, but a nearly identical starting plan would have converged to a different fixed point?"

[6] Boss: "Do you think that's likely?" Mathematician: "You tell me! I'm not the one unleashing chaos theory upon our firm!"

Topics
Functions › IterationAdvanced Math › Dynamical SystemsAdvanced Math › Chaos TheoryFunctions › Fixed PointsSequences › Recursive Sequences
Level
High SchoolCollege
Themes
Work & JobsLanguage & Wordplay