- www.youtube.com/watch?v=-_qNKbwM_eE Unsolved: Yang-Mills existence and mass gap by J Knudsen (2019). Gives 10 key points, but the truly hard ones are too quick. He knows the thing though.
Yang-Mills 1 by David Metzler (2011)
Source. A bit disappointing, too high level, with very few nuggests that are not Googleable withing 5 minutes.
Breakdown:
- 1 www.youtube.com/watch?v=j3fsPHnrgLg: too basic
- 2 www.youtube.com/watch?v=br6OxCLyqAI?t=569: mentions groups of Lie type in the context of classification of finite simple groups. Each group has a little diagram.
- 3 youtu.be/1baiIxKKQlQ?list=PL613A31A706529585&t=728 the original example of a local symmetry was general relativity, and that in that context it can be clearly seen that the local symmetry is what causes "forces" to appear
- youtu.be/1baiIxKKQlQ?list=PL613A31A706529585&t=933 local symmetry gives a conserved current. In the case of electromagnetism, this is electrical current. This was the only worthwhile thing he sad to 2021 Ciro. Summarized at: local symmetries of the Lagrangian imply conserved currents.
- 4 youtu.be/5ljKcWm7hoU?list=PL613A31A706529585&t=427 electromagnetism has both a global symmetry (special relativity) but also local symmetry, which leads to the conservation of charge current and forces.lecture 3 properly defines a local symmetry in terms of the context of the lagrangian density, and explains that the conservation of currents there is basically the statement of Noether's theorem in that context.
A **conical combination** is a mathematical concept primarily used in linear algebra and geometry. It refers to a specific type of linear combination of points (or vectors) that satisfies certain constraints, particularly in relation to convexity.
Conscious automatism refers to a psychological phenomenon where individuals perform actions or produce thoughts without conscious awareness or intentional control, yet they remain aware of the process. It is often associated with surrealism and certain artistic and literary movements, where creators aim to tap into the subconscious mind to generate spontaneous and uninhibited expressions.
The "Proceedings of the American Mathematical Society" (Proc. Amer. Math. Soc.) is a prestigious mathematical journal published by the American Mathematical Society (AMS). It serves as a venue for the publication of high-quality research articles in all areas of pure and applied mathematics. The journal is known for its rigorous peer review process and aims to disseminate significant mathematical findings and developments. The proceedings typically include original research papers that are often of broad interest to the mathematical community.
Bidimensionality is primarily a concept used in the field of computational complexity theory, specifically in the study of algorithm design and graph theory. It typically refers to a property of certain types of problems or structures that can be analyzed more effectively due to their two-dimensional characteristics. In a computational context, bidimensional problems often involve graphs or other structures that can be embedded or represented in two dimensions.
Bidirectional transformation refers to a computational paradigm that allows for data to be transformed in two directions seamlessly. It is particularly useful in scenarios where you need to maintain a consistent synchronization between two different representations of data or models. The key idea is that changes in one representation can propagate to the other and vice versa, ensuring that both representations remain consistent with each other.
The Bigoni–Piccolroaz yield criterion is a mathematical model used in the field of material science and plasticity theory to describe the yield behavior of materials under complex loading conditions, particularly with respect to tension and compression. Developed by researchers M. Bigoni and S. Piccolroaz, this criterion expands on traditional yield criteria, such as the von Mises and Tresca criteria.
Binary combinatory logic refers to a system of logic that uses binary values (typically 0 and 1) to represent logical propositions and operations. It primarily deals with the study and manipulation of boolean functions and can be seen as a subset of propositional logic specifically focused on binary values. In binary combinatory logic, operations such as AND, OR, and NOT are performed using binary digits, which can represent true (1) or false (0).
Bioinformatics is an interdisciplinary field that combines biology, computer science, mathematics, and statistics to analyze and interpret biological data. It plays a crucial role in managing and understanding the vast amounts of information generated by modern biological research, particularly in areas such as genomics, proteomics, and molecular biology.
Geochron is a company that specializes in the development and production of high-quality, detailed geological time scales and timekeeping systems. The most notable product they offer is a digital wall map known as the Geochron, which visually represents the current time across different time zones, along with significant geological and historical data. This map displays various features such as political boundaries, topography, and other geographical information.
The biological pump refers to a key process in the ocean's carbon cycle that helps regulate atmospheric carbon dioxide levels and thus plays a critical role in mitigating climate change. It involves the transfer of carbon from the surface ocean to the deep ocean through biological processes. Here's how it works: 1. **Primary Production**: Phytoplankton, microscopic plants in the ocean, utilize sunlight and nutrients to photosynthesize, converting carbon dioxide (CO2) from the atmosphere into organic matter.
Biological thermodynamics is the study of energy transformations and the principles of thermodynamics as they apply to biological systems. It explores how living organisms convert energy from their environments into forms that can be used for work, growth, and maintenance of life processes, and it helps to understand the energetics of biochemical reactions, cellular processes, and physiological functions.
The Bird–Meertens formalism, also known as the Bird-Meertens algebra or the functional programming algebra, is a framework for defining and reasoning about algorithms in a high-level, mathematical way. It was developed primarily by two computer scientists, Richard Bird and Lambert Meertens. This formalism is particularly associated with functional programming and emphasizes the use of high-level abstractions to express algorithms in a way that is both concise and amenable to transformation.
The list of Chinese mathematicians includes prominent figures throughout history who have made significant contributions to various fields of mathematics. Here are some notable Chinese mathematicians: 1. **Zhang Heng (78–139)** - An astronomer, mathematician, and inventor known for his work on early mathematics and his invention of the seismoscope. 2. **Sunzi (Sun Tzu) (c.
The term "Black Book" in the context of gambling generally refers to a list maintained by casinos of individuals who are banned or excluded from gambling on their premises. These individuals may be banned for various reasons, including cheating, theft, or other behavior that violates the casino's policies. The Black Book serves as a tool for casinos to protect their interests and maintain a safe and fair gambling environment.
Pinned article: 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 3. Visual Studio Code extension installation.Figure 4. Visual Studio Code extension tree navigation.Figure 5. Web editor. 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.Video 4. OurBigBook Visual Studio Code extension editing and navigation demo. Source. - 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





