Molecular biology by Ciro Santilli 37 Updated +Created
Lebesgue integral vs Riemann integral by Ciro Santilli 37 Updated +Created
Advantages over Riemann:
Video 1.
Riemann integral vs. Lebesgue integral by The Bright Side Of Mathematics (2018)
Source.
youtube.com/watch?v=PGPZ0P1PJfw&t=808 shows how Lebesgue can be visualized as a partition of the function range instead of domain, and then you just have to be able to measure the size of pre-images.
One advantage of that is that the range is always one dimensional.
But the main advantage is that having infinitely many discontinuities does not matter.
Infinitely many discontinuities can make the Riemann partitioning diverge.
But in Lebesgue, you are instead measuring the size of preimage, and to fit infinitely many discontinuities in a finite domain, the size of this preimage is going to be zero.
So then the question becomes more of "how to define the measure of a subset of the domain".
Which is why we then fall into measure theory!
Intellectual property by Ciro Santilli 37 Updated +Created
Jazz fusion by Ciro Santilli 37 Updated +Created
Ciro's 2020 perfect Friday evening: jazz fusion + study quantum field theory on an Amazon Kindle. Ahhhhhh.
Ciro Santilli's homonyms by Ciro Santilli 37 Updated +Created
If any of you ever read this, do send me an email to Ciro Santilli saying hi and we can agree on a clear separation of usernames.
Although if you are just starting out, maybe you should just go from scratch with a unique Internet alias.
www.ancestry.com.au/genealogy/records/ciro-santilli-24-bkmssg documents a "Ciro Santilli" born 31 Jan 1887 at Castelvécchio in Subéquo, L'Aquila, in the Abruzzo region, just like Ciro Santilli's ancestors. Parents Francesco Santilli and Anna Silveri. The page also mentions:
Hindi by Ciro Santilli 37 Updated +Created
Important discrete mathematical group by Ciro Santilli 37 Updated +Created
How to teach / Version your material by Ciro Santilli 37 Updated +Created
Whenever you make a change to your material, people should still be able to access the previous version.
Maybe there was something in the previous version that they needed, and you just removed.
Git + GitHub is the perfect way to do versioning.
This is the only way to truly understand and appreciate the subject.
Understanding the experiments gets intimately entangled with basically learning the history of physics, which is extremely beneficial as also highlighted by Ron Maimon, related: there is value in tutorials written by early pioneers of the field.
"How we know" is a basically more fundamental point than "what we know" in the natural sciences.
In the Surely You're Joking, Mr. Feynman chapter O Americano, Outra Vez! Richard Feynman describes his experience teaching in Brazil in the early 1950s, and how everything was memorized, without any explanation of the experiments or that the theory has some relationship to the real world!
Although things have improved considerably since in Brazil, Ciro still feels that some areas of physics are still taught without enough experiments described upfront. Notably, ironically, quantum field theory, which is where Feynman himself worked.
Feynman gave huge importance to understanding and explaining experiments, as can also be seen on Richard Feynman Quantum Electrodynamics Lecture at University of Auckland (1979).
Video 1.
'Making' - the best way of learning science and technology by Manish Jain (2018)
Source.
Racing game by Ciro Santilli 37 Updated +Created
Survival game by Ciro Santilli 37 Updated +Created
Collectible (video game design) by Ciro Santilli 37 Updated +Created
Watercraft by Ciro Santilli 37 Updated +Created
Vector (mathematics) by Ciro Santilli 37 Updated +Created
Directed and undirected graphs by Ciro Santilli 37 Updated +Created
HyperPhysics by Ciro Santilli 37 Updated +Created
Created by Dr. Rod Nave from Georgia State University, where he worked from 1968 after his post-doc in North Wales on molecular spectroscopy.
While there is value to that website, it always feels like it falls a bit too short as too "encyclopedic" and too little "tutorial-like". Most notably, it has very little on the history of physics/experiments.
Ciro Santilli likes this Rod, he really practices some good braindumping, just look at how he documented his life in the pre-social media Internet dark ages: hyperphysics.phy-astr.gsu.edu/Nave-html/nave.html
The website evolved from a HyperCard stack, as suggested by the website name, mentioned at: hyperphysics.phy-astr.gsu.edu/hbase/index.html.
exhibits.library.gsu.edu/kell/exhibits/show/nave-kell-hall/capturing-a-career has some good photo selection focused on showing the department, and has an interview.
Amateur telescope by Ciro Santilli 37 Updated +Created
Television by Ciro Santilli 37 Updated +Created

Unlisted articles are being shown, click here to show only listed articles.