<Exploring the Mathematical Concepts Behind a Comedic Scene>
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In the final episode of the first season of HBO's “Silicon Valley,” a particularly memorable and quotable exchange unfolds as the characters engage in a theoretical discussion about how long it would take Erlich Bachman, the founder of Aviato, to bring an audience of 800 men to climax using only his hands. Faced with the pressure of an upcoming Techcrunch Startup Battlefield competition, the group embarks on the creation of a complex mathematical model that takes into account key variables impacting the scenario of a solitary individual attempting to satisfy 800 men within a time limit of 10 minutes.
This article aims to extend their analysis and build upon the work of Misra (2014). Enjoy the read!
> “We’re gonna win even if I have to go into the auditorium and personally jerk off every guy in the audience!” — Erlich Bachman
The Model
For the sake of this hypothetical scenario, let’s first examine the stimulation of an individual, labeled as <i>i</i>, by the agent Erlich (E). Our model represents a perfectly cylindrical shaft with a specifi