The best instrumental songs: Section "The best Chinese traditional instrumental music"
In the process of moving out of: cirosantilli.com/china-dictatorship/music
Bibliography:
- Ciro Santilli's YouTube playlist: www.youtube.com/playlist?list=PLcZOZrP1P_V5J2P3ogZNpya0BAuPEgyuE
- Reddit:
- www.reddit.com/r/classicalmusic/comments/op54d5/traditional_chinese_music_recommendations_helpful/ "Traditional Chinese Music Recommendations & Helpful Sources" by
_AsyA_(2021). This user knows a bit as shown in description. - www.reddit.com/r/China/comments/1ejy8jw/how_to_get_into_traditionalclassical_chinese_music/ "How to get into traditional/classical chinese music?" by Ultimate_CockSucker (2024)
- www.reddit.com/r/Chinese/comments/150sf4y/what_are_some_really_good_traditional_chinese/ "What are some really good Traditional Chinese music artists?" by Flimsy-Assumption513 (2023)
- www.reddit.com/r/classicalmusic/comments/op54d5/traditional_chinese_music_recommendations_helpful/ "Traditional Chinese Music Recommendations & Helpful Sources" by
Can be calculated efficiently with the Extended Euclidean algorithm.
The beauty of this algorithm is that because exponentiation grows really fast, there is no hope that we can ever learn all the digits of an exponential, as there is simply not enough time or memory for that. Therefore, a natural sub-question is if we can know some part of that number, and knowing the smallest digits is the most natural version of that question.
One of its main applications is to determine the 3D structure of proteins.
Sometimes you are not able to crystallize the proteins however, and the method cannot be used.
Crystallizing is not simple because:
Cryogenic electron microscopy can sometimes determine the structures of proteins that failed crystallization.
Ciro Santilli would like to fully understand the statements and motivations of each the problems!
Easy to understand the motivation:
- Navier-Stokes existence and smoothness is basically the only problem that is really easy to understand the statement and motivation :-)
- p versus NP problem
Hard to understand the motivation!
- Riemann hypothesis: a bunch of results on prime numbers, and therefore possible applications to cryptographyOf course, everything of interest has already been proved conditionally on it, and the likely "true" result will in itself not have any immediate applications.As is often the case, the only usefulness would be possible new ideas from the proof technique, and people being more willing to prove stuff based on it without the risk of the hypothesis being false.
- Yang-Mills existence and mass gap: this one has to do with finding/proving the existence of a more decent formalization of quantum field theory that does not resort to tricks like perturbation theory and effective field theory with a random cutoff valueThis is important because the best theory of light and electrons (and therefore chemistry and material science) that we have today, quantum electrodynamics, is a quantum field theory.
This dude looks like a God. Ciro Santilli does not understand his stuff, but just based on the names of his theories, e.g. "Yoga of anabelian algebraic geometry", and on his eccentric lifestyle, it is obvious that he was in fact a God.
The term is not very clear, as it could either mean:
- a real number function whose graph is a line, i.e.:or for higher dimensions, a hyperplane:
- a linear map. Note that the above linear functions are not linear maps unless (known as the homogeneous case), because e.g.:butFor this reason, it is better never to refer to linear maps as linear functions.
- star.mit.edu/CellBio/index.html StarCellBio from MIT
The easy and less generic integral. The harder one is the Lebesgue integral.
This is the most important of all points.
Don't set goals for your students.
Ask students what they want to do, and help them achieve that goal.
If they don't know what to do, give suggestions of interesting things they could do.
Once they have a goal, just help them learn everything that is needed to achieve that goal
This is because the universe of potentially useful things that can be learnt is infinite, and no human can ever learn everything.
The only solution, is to try and learn only what seems necessary to reach your goal, and just try to reach your goal instead.
This approach is called backward design.
Also, setting overly ambitious goals, is a good idea: the side effects of ambitious goals are often the most valuable thing achieved.
There are unlisted articles, also show them or only show them.