Abraham Pais Prize for History of Physics by Ciro Santilli 35 Updated +Created
Minimoog by Ciro Santilli 35 Updated +Created
Isomorphism by Ciro Santilli 35 Updated +Created
Something analogous to a group isomorphism, but that preserves whatever properties the given algebraic object has. E.g. for a field, we also have to preserve multiplication in addition to addition.
Other common examples include isomorphisms of vector spaces and field. But since both of those two are much simpler than groups in classification, as they are both determined by number of elements/dimension alone, see:we tend to not talk about isomorphisms so much in those contexts.
Adjacenty list by Ciro Santilli 35 Updated +Created
Good video game to watch by Ciro Santilli 35 Updated +Created
This is a list of video games that are good to watch other people playing, even if you don't play yourself. And often they are better to watch than to play as you don't have to waste your time as much!
Cayley graph by Ciro Santilli 35 Updated +Created
You select a generating set of a group, and then you name every node with them, and you specify:
  • each node by a product of generators
  • each edge by what happens when you apply a generator to each element
Not unique: different generating sets lead to different graphs, see e.g. two possible en.wikipedia.org/w/index.php?title=Cayley_graph&oldid=1028775401#Examples for the
Laplace transform by Ciro Santilli 35 Updated +Created
Video 1.
The Laplace Transform: A Generalized Fourier Transform by Steve Brunton (2020)
Source. Explains how the Laplace transform works for functions that do not go to zero on infinity, which is a requirement for the Fourier transform. No applications in that video yet unfortunately.
Sea shanty by Ciro Santilli 35 Updated +Created
Feature film by Ciro Santilli 35 Updated +Created
Film genre by Ciro Santilli 35 Updated +Created
The Fox and the Cat (fable) by Ciro Santilli 35 Updated +Created
Genetic diversity by Ciro Santilli 35 Updated +Created
Planned obsolescence by Ciro Santilli 35 Updated +Created
The first time Ciro Santilli Googled this was when trying to repair his cell phone.
2019 cell phones are glued together with adhesive, which makes them impossible to repair them unless you have a heat gun, spend hours and hours learning and planning, and accept the risk of breaking the screen
If you take a phone less than 300 dollars to a repair shop in the first world, they will say: I've never repaired this crap, and likely for the price of the repair you should just buy a new one, and so to the trash goes the old one, polluting the planet, and in comes a new one, enriching the manufacturer further.
European Union, I need you now.
Mediocre Amateur by Ciro Santilli 35 Updated +Created
About 50k subscribers on 2021, which feels way too little for the video quality and quantity.
Ciro Santilli believes that this channel will go very far, certainly achieving 1M subscribers in they keep it for one or two more years. Update: it didn't, as of 2024, shame.
They are Utah-based, and they do many many amazing weekend trips. They mostly drive from home to some trailhead, and then climb up and down it the entire day.
No technical rock climbing, only bouldering, but they still manage to reach many amazing places, and there is a level of danger in many of their ascents.
They also often ski down the mountains when there is snow.
The cool thing about this channel is that as the name suggests, they are not professionals, and what they do can be done by anyone without working full time on it, as long as you have adequate preparation.
Philips by Ciro Santilli 35 Updated +Created
Arbitrary waveform generator by Ciro Santilli 35 Updated +Created
Electronic test equipment by Ciro Santilli 35 Updated +Created
Capacitor by Ciro Santilli 35 Updated +Created
The fundamental intuition about capacitors is that they never let electrons through.
They can only absorb electrons up to a certain point, but then the pushback becomes too strong, and current stops.
Therefore, they cannot conduct direct current long term.
For alternating current however, things are different, because in alternating current, electrons are just jiggling back and forward a little bit around a center point. So you can send alternating current power across a capacitor.
The key equation that relates Voltage to electric current in the capacitor is:
So if a voltage Heavyside step function is applied what happens is:
  • the capacitor fills up instantly with an infinite current
  • the current then stops instantly
More realistically, one may consider the behavior or the series RC circuit to see what happens without infinities when a capacitor is involved as in the step response of the series RC circuit.
Video 1.
Finding capacitance with an oscilloscope by Jacob Watts (2020)
Source. Good experiment.
Inductor by Ciro Santilli 35 Updated +Created

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