NFPA 704 Updated 2025-07-16
pH Updated 2025-07-16
Applications of Josephson Junctions Updated 2025-07-16
Solving differential equations was apparently Lie's original motivation for developing Lie groups. It is therefore likely one of the most understandable ways to approach it.
It appears that Lie's goal was to understand when can a differential equation have an explicitly written solution, much like Galois theory had done for algebraic equations. Both approaches use symmetry as the key tool.
Bought: 2018, 2021.
Seems to work OK. But you're fighting the symptom, and it will eventually come back.
Pleistocene Updated 2025-07-16
Agriculture is not the official definition of the age. But it is good enough. Likely related to the official end of glaciations thing.
Quantization of a real scalar field Updated 2025-07-16
This is one of the first examples in most quantum field theory.
It usually does not involve any forces, just the interpretation of what the quantum field is.
There is no fundamental difference between them, a quantum algorithm is a quantum circuit, which can be seen as a super complicated quantum gate.
Perhaps the greats practical difference is that algorithms tend to be defined for an arbitrary number of N qubits, i.e. as a function for that each N produces a specific quantum circuit with N qubits solving the problem. Most named gates on the other hand have fixed small sizes.
Quark Updated 2025-07-16
TODO experimental discovery.
LC circuit Updated 2025-07-16
When Ciro Santilli was studying electronics at the University of São Paulo, the courses, which were heavily inspired from the USA 50's were obsessed by this one! Thinking about it, it is kind of a cool thing though.
Video 1.
Tutorial on LC resonant circuits by w2aew (2012)
Source.
Video 2.
LC circuit dampened oscillations on an oscilloscope by Queuerious Guy (2014)
Source. Finally a video that shows the oscillations without a driving AC source. The dude just move wires around on his breadboard manually, first charging the capacitor and then closing the LC circuit, and is able to see damped oscillations on the oscilloscope.
Video 3.
Introduction to LC Oscillators by USAF (1974)
Source.
Video 4.
LC circuit by Eugene Khutoryansky (2016)
Source. Exactly what you would expect from an Eugene Khutoryansky video. The key insight is that the inductor resists to changes in current. So when current is zero, it slows down the current. And when current is high, it tries to keep it going, which recharges the other side of the capacitor.

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