- 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.
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 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.
"Black Mathematicians and Their Works" generally refers to the contributions and achievements of Black mathematicians throughout history and their impact on the field of mathematics. It highlights the work of numerous individuals who have made significant strides in various areas of mathematics, ranging from theoretical work to applied mathematics and education.
The Black Sea Biogeographic Region is a distinct ecological and biogeographic area characterized by its unique flora and fauna, largely influenced by the climatic, geological, and hydrological conditions of the Black Sea and its surrounding terrestrial environments. This region encompasses the Black Sea itself, as well as the coastal areas and adjacent ecosystems, including parts of Eastern Europe and Western Asia.
In the context of roads and pavements, "bleeding" refers to a condition where the asphalt binder rises to the surface of the pavement, creating a sticky and often shiny appearance. This phenomenon occurs primarily due to the following reasons: 1. **Excessive Heat**: High temperatures, particularly during warm weather, can cause the asphalt binder to soften and flow upwards, especially in areas where traffic is heavy.
Bloom filters are a probabilistic data structure used for efficiently testing whether an element is a member of a set. They are particularly useful in scenarios where space efficiency is a priority and where false positives are acceptable but false negatives are not. In the context of bioinformatics, Bloom filters have several important applications, including: 1. **Sequence Data Handling**: With the massive amounts of genomic and metagenomic data generated by sequencing technologies, storage and processing efficiency is paramount.
In geometry, "blooming" refers to a specific phenomenon related to the visual perception of shapes and patterns, particularly in mathematical visualization and modeling. While the term is not widely established in geometry as a standard concept, it is often used in contexts involving the exploration of geometric properties through the use of mathematical principles. Blooming can refer to the way certain geometric forms or configurations can expand or transform to reveal new properties, symmetries, or structures.
Bollard pull is a measure of the pulling power of a vessel, particularly tugs and other types of workboats. It is defined as the maximum force that a boat can exert while pulling on a fixed object, typically measured in tons or kilonewtons. The test for bollard pull is usually conducted while the vessel is stationary and tied to a fixed bollard or mooring point.
Borel's theorem, in the context of measure theory and probability, generally refers to several results attributed to Émile Borel, a French mathematician. One specific result that is commonly known as Borel's theorem is related to the Borel measurability of functions and sets. However, it can be associated with different areas of mathematics, particularly in the context of topology or probability theory.
Boris Shklovskii is a notable physicist and researcher, particularly recognized for his contributions to the fields of condensed matter physics and statistical physics. He has made significant advancements in understanding disordered systems, localization phenomena, and transport properties in various materials. Shklovskii is best known for his work on the effects of disorder in solids and for his research on phenomena such as electron localization and the behavior of charge carriers in disordered systems.
A "prompt neutron" refers to neutrons that are emitted immediately during a nuclear fission event, as opposed to delayed neutrons, which are emitted by the beta decay of fission products some time after the initial fission reaction. In a fission event, when a heavy nucleus (such as Uranium-235 or Plutonium-239) absorbs a neutron and becomes unstable, it splits into two smaller nuclei, releasing a significant amount of energy and several neutrons almost instantaneously.
As of my last knowledge update in October 2023, "Boyd Bartlett" doesn't refer to a widely recognized figure, concept, or entity within popular culture, science, literature, or history. It's possible that it could refer to a lesser-known individual, a fictional character, or a term that's come into use more recently than my last update.
Bronisław Knaster (1888–1983) was a Polish mathematician known for his contributions to topology and functional analysis. He was a notable figure in the field of mathematics during the early to mid-20th century and is recognized for his work on various mathematical concepts, including connectedness and continuity.
Bruce Aikenhead is a prominent figure in the field of science education, known particularly for his contributions to understanding and improving the teaching and learning of science in schools. He has worked extensively on the philosophy of science education, curriculum development, and the integration of scientific literacy in educational practices. His research often focuses on how students comprehend scientific concepts and the best approaches for teaching these concepts effectively.
Cahit Arf was a prominent Turkish mathematician, known for his significant contributions to various fields of mathematics, including algebra and number theory. Born on October 11, 1910, in Istanbul, Turkey, he made notable advancements in areas such as functional analysis, algebraic geometry, and the theory of functions. Arf is perhaps best known for Arf invariant and Arf rings, which are important concepts in algebraic topology and algebraic geometry.
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





