How genes form bodies.
Developmental Genetics 1 by Joseph Ross (2020)
Source. Talks about homeobox genes.Micral is recognized as one of the first microcomputer systems, developed in the early 1970s by French engineer André Truong Trong Thi. It is notable for being one of the first commercially available personal computers. The device used the Intel 8008 microprocessor and was primarily aimed at developers and engineers rather than the general public.
R. Ranga Rao (Raghava Rao Ranganathan) is an Indian mathematician known for his contributions to various fields in mathematics, particularly in the areas of number theory and finite fields. His work has had significance in combinatorial design theory and coding theory. Ranga Rao has contributed to mathematical research through publications and has been involved in academic activities, mentoring students, and promoting mathematical education. His research interests have also extended into applications of mathematics in computer science and engineering.
The Internet in France is a robust and well-developed infrastructure that provides access to online services and resources for individuals, businesses, and institutions. Here are some key aspects of the Internet landscape in France: 1. **Internet Connectivity**: France has high levels of internet penetration, with the majority of households having access to broadband services. The country has invested heavily in both fixed-line and mobile internet infrastructure, including fiber-optic networks.
Deterministic perfect information board game by
Ciro Santilli 37 Updated 2025-07-01 +Created 1970-01-01
Pan Chengdong is a name that may refer to a few different things depending on the context. However, if you were referring to an individual, as of my last update, there is no widely known public figure or concept by that name in popular culture or academia. It's possible that Pan Chengdong could be a name of a person in specific local contexts, such as a professional, an artist, or a notable figure in a certain field or region.
Deterministic and non-deterministic game by
Ciro Santilli 37 Updated 2025-07-01 +Created 1970-01-01
Name origin: likely because it "determines" if a matrix is invertible or not, as a matrix is invertible iff determinant is not zero.
Deriving magnetism from electricity and relativity by
Ciro Santilli 37 Updated 2025-07-01 +Created 1970-01-01
It appears that Maxwell's equations can be derived directly from Coulomb's law + special relativity:
This idea is suggested by the charged particle moving at the same speed of electrons thought experiment, which indicates that magnetism is just a consenquence of special relativity.
Why moving charges produce magnetic field? by FloatHeadPhysics (2022)
Source. Hector is a microcomputer that was developed in the early 1980s in the United Kingdom, targeting the educational market. It was designed by a company called Hector Computers Limited and was notable for its use in schools to teach programming and computer literacy. The system featured a Zilog Z80 microprocessor and came with a range of software, including educational applications and programming tools.
Nobushige Kurokawa is a notable figure in the field of mathematics, particularly known for his contributions to algebraic geometry and related areas. In addition to his research work, he may have also been involved in education or mentorship within the mathematical community.
Derivation of the Schrodinger equation by
Ciro Santilli 37 Updated 2025-07-01 +Created 1970-01-01
Where derivation == "intuitive routes", since a "law of physics" cannot be derived, only observed right or wrong.
TODO also comment on why are complex numbers used in the Schrodinger equation?.
Some approaches:
- en.wikipedia.org/w/index.php?title=Schr%C3%B6dinger_equation&oldid=964460597#Derivation: holy crap, this just goes all in into a Lie group approach, nice
- Richard Feynman's derivation of the Schrodinger equation:
- physics.stackexchange.com/questions/263990/feynmans-derivation-of-the-schrödinger-equation
- www.youtube.com/watch?v=xQ1d0M19LsM "Class Y. Feynman's Derivation of the Schrödinger Equation" by doctorphys (2020)
- www.youtube.com/watch?v=zC_gYfAqjZY&list=PL54DF0652B30D99A4&index=53 "I5. Derivation of the Schrödinger Equation" by doctorphys
"Computing for All" refers to initiatives and movements aimed at making computer science education and digital skills accessible to a broader audience, regardless of age, background, or socioeconomic status. The objective is to bridge the gap in technology literacy and ensure that everyone, including underrepresented groups, has the opportunity to learn computing skills.
Derivation of the quantum electrodynamics Lagrangian by
Ciro Santilli 37 Updated 2025-07-01 +Created 1970-01-01
Like the rest of the Standard Model Lagrangian, this can be split into two parts:
- spacetime symmetry: reaches the derivation of the Dirac equation, but has no interactions
- add the internal symmetry to add interactions, which reaches the full equation
Deriving the qED Lagrangian by Dietterich Labs (2018)
Source. As mentioned at the start of the video, he starts with the Dirac equation Lagrangian derived in a previous video. It has nothing to do with electromagnetism specifically.
He notes that that Dirac Lagrangian, besides being globally Lorentz invariant, it also also has a global invariance.
However, it does not have a local invariance if the transformation depends on the point in spacetime.
He doesn't mention it, but I think this is highly desirable, because in general local symmetries of the Lagrangian imply conserved currents, and in this case we want conservation of charges.
To fix that, he adds an extra gauge field (a field of matrices) to the regular derivative, and the resulting derivative has a fancy name: the covariant derivative.
Then finally he notes that this gauge field he had to add has to transform exactly like the electromagnetic four-potential!
So he uses that as the gauge, and also adds in the Maxwell Lagrangian in the same go. It is kind of a guess, but it is a natural guess, and it turns out to be correct.
Reiko Miyaoka is a fictional character from the visual novel "The House in Fata Morgana," which was released by the indie game developer Novectacle. The game, known for its deep storytelling and emotional themes, explores concepts of love, betrayal, and the passage of time through multiple eras and perspectives.
Pinned article: ourbigbook/introduction-to-the-ourbigbook-project
Welcome to the OurBigBook Project! Our goal is to create the perfect publishing platform for STEM subjects, and get university-level students to write the best free STEM tutorials ever.
Everyone is welcome to create an account and play with the site: ourbigbook.com/go/register. We belive that students themselves can write amazing tutorials, but teachers are welcome too. You can write about anything you want, it doesn't have to be STEM or even educational. Silly test content is very welcome and you won't be penalized in any way. Just keep it legal!
Intro to OurBigBook
. Source. We have two killer features:
- topics: topics group articles by different users with the same title, e.g. here is the topic for the "Fundamental Theorem of Calculus" ourbigbook.com/go/topic/fundamental-theorem-of-calculusArticles of different users are sorted by upvote within each article page. This feature is a bit like:
- a Wikipedia where each user can have their own version of each article
- a Q&A website like Stack Overflow, where multiple people can give their views on a given topic, and the best ones are sorted by upvote. Except you don't need to wait for someone to ask first, and any topic goes, no matter how narrow or broad
This feature makes it possible for readers to find better explanations of any topic created by other writers. And it allows writers to create an explanation in a place that readers might actually find it.Figure 1. Screenshot of the "Derivative" topic page. View it live at: ourbigbook.com/go/topic/derivativeVideo 2. OurBigBook Web topics demo. Source. - local editing: you can store all your personal knowledge base content locally in a plaintext markup format that can be edited locally and published either:This way you can be sure that even if OurBigBook.com were to go down one day (which we have no plans to do as it is quite cheap to host!), your content will still be perfectly readable as a static site.
- to OurBigBook.com to get awesome multi-user features like topics and likes
- as HTML files to a static website, which you can host yourself for free on many external providers like GitHub Pages, and remain in full control
Figure 2. You can publish local OurBigBook lightweight markup files to either OurBigBook.com or as a static website.Figure 3. Visual Studio Code extension installation.Figure 5. . You can also edit articles on the Web editor without installing anything locally. Video 3. Edit locally and publish demo. Source. This shows editing OurBigBook Markup and publishing it using the Visual Studio Code extension. - Infinitely deep tables of contents:
All our software is open source and hosted at: github.com/ourbigbook/ourbigbook
Further documentation can be found at: docs.ourbigbook.com
Feel free to reach our to us for any help or suggestions: docs.ourbigbook.com/#contact