To talk about something without giving the real name to not scare off the audience by Ciro Santilli 35 Updated 2025-01-10 +Created 1970-01-01
Ciro Santilli hates it when an expert does this!!!
If you estimate that the audience won't know the name of the concept, that's fine, do explain it as well.
But you must also give the name!!!
This also manifests itself when news outlets omit foreign names from healines, notably Chinese, but likely happens to all non-european languages too.
Chemistry is fun. Too hard for precise physics (pre quantum computing, see also quantum chemistry), but not too hard for some maths like social sciences.
And it underpins biology.
Technique to make cool sound instruments mathematically, either with electronic hardware components, or with a software synthesizer.
Good tutorials:
Best known techniques:
The meta of a game is the currently dominating know strategy or set of strategies, see also Section "Nash equilibrium".
A proof in some system for the formalization of mathematics.
An ordered pair of two real numbers with the complex addition and multiplication defined.
Forms both a:
- division algebra if thought of with complex multiplication as the bilinear map of the algebra
- field
The missing link between basic and advanced by Ciro Santilli 35 Updated 2025-01-10 +Created 1970-01-01
One of Ciro Santilli's strongest feeling in education is that material often falls in either of the two categories:
- hundreds of too basic popular science, e.g.:
- a 5 minute popular science video trying to explain quantum electrodynamics (an advanced subject) for someone who doesn't know what a Riemann integral is (a basic subject)
- a few full university courses that takes 20 hours to deliver the first punchline of the course
Ciro believes that there is often an important missing link between them, e.g.:
- a 15 minute video that delivers the main end results and motivations for people who already know the very basic stuff
If we as a society are unable to provide this sweet Middle Way sweet-spot, it is unreasonable to expect that learners will ever have the motivation to advance, because it is just too boring! They are just more likely to go play video games instead.
It is Ciro's hope that OurBigBook.com will help to fill exactly that gap.
In Ciro's view, as of the 2020's this critical gap generally lies somewhere between the end of undergraduate studies, and at the start of postgraduate studies.
What we have to do is make this knowledge more accessible all way down to high school and earlier.
Let's take the gloves off more often, and give the full thing to interested students! Let students learn what they want to learn, and do that as soon as possible! Life is too short!
This problem is basically the knowledge version of the last mile problem. When we reach the end of graduate, there are enough directions of knowledge to go off into, that the probability that a great free tutorial exists is relatively low. Of course, as one approaches the realm of novel research, the branching is so wide that having perfect tutorials becomes impossible. Ciro's goal in life go push the last mile marker a bit further out.
Related:
- universityphysicstutorials.com/ by Adam Beatty mentions:
There are myriad resources for physics and maths. The Kahn Academy and Patrick JMT were the best for me. They really helped me out. The question is, what resources are there for the advanced undergraduate courses?
Bibliography:
There are unlisted articles, also show them or only show them.