Electric current Updated 2025-07-16
In the context of Maxwell's equations, it is vector field that is one of the inputs of the equation.
Section "Maxwell's equations with pointlike particles" asks if the theory would work for pointlike particles in order to predict the evolution of this field as part of the equations themselves rather than as an external element.
Monster Raving Loony Party Updated 2025-07-16
Video 1.
Monster Raving Loony Party Conference by Britclip
. Source.
Analog quantum computer Updated 2025-07-16
Video 1.
TensorFlow quantum by Masoud Mohseni (2020)
Source. At the timestamp, Masoud gives a thought experiment example of the perhaps simplest to understand analog quantum computer: chained double-slit experiments with carefully calculated distances between slits. Calulating the final propability distribution of that grows exponentially.
Analytic continuation Updated 2025-07-16
visualizing the Riemann hypothesis and analytic continuation by 3Blue1Brown (2016) is a good quick visual non-mathematical introduction is to it.
The key question is: how can this continuation be unique since we are defining the function outside of its original domain?
The answer is: due to the identity theorem.
Lysozyme Updated 2025-07-16
Breaks up peptidoglycan present in the bacterial cell wall, which is thicker in Gram-positive bacteria, which is what this enzyme seems to target.
Part of the inate immune system.
It is present on basically everything that mammals and birds excrete, and it kills bacteria, both of which are reasons why it was discovered relatively early on.
Digital signature Updated 2025-07-16
One notable application: cryptocurrency, see e.g. how Bitcoin works.

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