The dot product is a positive definite matrix, and so we see that those will have an important link to familiar geometry.
Incredible that there hasn't been a Nobel Prize for it as of 2022, e.g. as mentioned at: theconversation.com/no-nobel-but-epigenetics-finally-gets-the-recognition-it-deserves-18970
Some old dudes getting another prize in 2016: www.cuimc.columbia.edu/news/pioneers-epigenetics-awarded-horwitz-prize
The only cases where formal proof of theorems seem to have had actual mathematical value is for theorems that require checking a very large number of case, so much so that no human can be fully certain that no mistakes were made. Some examples:
Quantum Mechanics for Engineers by Leon van Dommelen (2011) Updated 2025-01-10 +Created 1970-01-01
Looks very impressive! Last update marked 2011 as of 2020.
Goes up to "A.15 quantum field theory in a Nanoshell", Ciro have to review it to see if there's anything worthwhile in that section.
Personal page says he retired as of 2020: www.eng.fsu.edu/~dommelen/ But hopefully he has more time for these notes!
And he appears to have his own lightweight markup language that transpiles to LaTeX called l2h: www.eng.fsu.edu/~dommelen/l2h/
The japanese name literally means:
- 富士 fushi, from Mount Fuji, which itself has unknown origin
- 通 tong: telecommunications
Many people believe that knowledge graphs are a key element of AGI: Knowledge graph as a component of AGI.
Bibligraphy:
- www.knowledgegraph.tech/ The Knowledge graph Conference
Functional Analysis I course of the University of Oxford 2023-2024 Updated 2025-01-10 +Created 1970-01-01
Open access with solutions: courses.maths.ox.ac.uk/course/view.php?id=4988
Lecturer: Luc Nguyen
Some major ones:
- Messier 49
- Messier 86
- Messier 87noirlab.edu/public/images/noao-m49/?nocache=true also lists: M58, M59, M60, M61, M84, M85, M86, M87, M88, M89, M90, M91, M98, M99, and M100 so lots of large and easily observable galaxies in the area.
This one has students must have a flexible choice of what to learn on the name! Sounds interesting!
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