FW’s NoteBook – The Maximisation of The Gravity Due to a Malleable Astroid

EDIT: Alternative Solution is in a separate post. This was the first question Berkeley SPS posted last year, and in a manner not dissimilar to them, I finally finished an answer. A common exercise in both classical EM and Gravitational theories, the question has many formulations; I'll take the most practical set of quantities relevant … Continue reading FW’s NoteBook – The Maximisation of The Gravity Due to a Malleable Astroid

QuickType Scientific Symbols [Updated June 26th]

Some of my text-friends ask me how I can quickly type out mathematical symbols when we are discussing homework problems. Well, for one, I enabled the Greek keyboard on my phone, and then there's this: taking advantage of the automatic text-replacement system built right in macOS and iOS. To use this table, on iOS and … Continue reading QuickType Scientific Symbols [Updated June 26th]

FW’S NOTEBOOK #2 – Fagnano Problem

Lurking in my recent research readings, this is a problem at the intersection of middle school geometry and quantum chaos ...  This week's post was delayed such that certain subscribers taking final exams won't be disturbed. Hope you all had fun. Question: Inscribe a triangle of minimum perimeter inside an arbitrary acute triangle. Demonstration I. … Continue reading FW’S NOTEBOOK #2 – Fagnano Problem