total kinetic energy

\begin{equation} KE_{rigid} = \frac{1}{2} M{V_{cm}}^2 + \frac{1}{2} I_{CM}{\omega_{CM}}^2 \end{equation}

torque from gravity

For even non rigid bodies, the following follows:

\begin{equation} \vec{\tau}_g = \vec{R}_{CM} \times M\vec{g} \end{equation}

Actually, this follows for any \(f\) (like \(g\)) evenly applied across point masses.

potential energy

\begin{equation} \Delta PE_g = mg\Delta h \end{equation}

where, \(\Delta h\) is the travel of center of mass. Regardless of whether or not its point.

Goal: flags situations that might be hazardous when they occur to trigger some fallback mechanism.

Three steps:

1. check if you are even in the design: operational design domain monitoring
2. even if you are, check how certain you are: uncertainty quantification
3. once you know what your model is going to do: failure monitoring

operational design domain monitoring

“Out of distribution detection.” Insight: if we operate outside of the ODD, our validation results may no longer be valid, so we should monitor whether or not we are in the operational design monitor whether or not we are in the operational design domain.

Rural Electrification Administration create electrification throughout cities. Most of American infrastructure still 1930s.

Observations from studying the comedian Russel Howard.

• Stretching analogies
• Using language/motion/figure do describe something on the opposite end of the spectrum
  • Take, for instance, age: 5Y/O: “cheers mum, wasen’t on my to-do list”
  • A surprisingly sentimental dog: “because when I wake up tomorrow I want to see you, and I want to go for a lovely walk”
• Large motions + deadpan after
• Endless extrapolations of a normal setup: setup: Russian hackers were controlling people’s toys; punchline: “5 men were dildo’d to death, we don’t have a recording but here are their final words — ‘oh yeaaah’, ‘oh fuck yeaaah’”

Setup: gweneth paltro Punchline: “put an egg up there, you will feel more femenine. no! you will feel like a chicken”