Computational astronomy is a subfield of astronomy that utilizes computational techniques, algorithms, and models to solve complex problems and analyze astronomical data. It encompasses a wide range of activities, including: 1. **Data Analysis**: Processing and interpreting large datasets collected from telescopes, satellites, and other astronomical instruments. This involves using statistical methods, machine learning, and data mining techniques.
Beta Attenuation Monitoring (BAM) is a method used to measure particulate matter concentration in the air. It relies on the principle of beta radiation attenuation, where a source of beta particles (usually from a radioactive material) emits radiation that passes through an ambient air sample containing particulate matter. As these beta particles encounter particles in the air, they lose energy or are absorbed, leading to a reduction in the intensity of the beta radiation that reaches a detector.
Betting systems are strategies that bettors use to determine how much to wager, how to manage their bankroll, and how to approach their betting activities in various gambling scenarios, such as sports betting, casino games, and other forms of gambling. These systems are designed to help bettors maximize their winnings, minimize their losses, or both, although there's no guaranteed method for success in betting.
Bijective numeration is a way of representing integers in a unique format that avoids the use of zero. In this system, every positive integer is mapped to a unique sequence of symbols, typically using a specific base \( b \), but instead of using the conventional digits \( 0, 1, 2, \ldots, b-1 \), it uses the digits \( 1, 2, \ldots, b \).
"What is Mathematics?" is a phrase that can be interpreted in a few ways depending on the context. It could refer to a philosophical inquiry into the nature of mathematics, a specific educational resource, or a broader exploration of the subject's significance and applications. Here are a few possible interpretations: 1. **Philosophical Inquiry**: This includes questions about the essence of mathematics, its foundations, and what it means to "know" or "do" mathematics.
Bjørn Gjevik is a Norwegian figure known for his work in the field of music, particularly as a pianist and composer. He may also be involved in various artistic or educational endeavors related to music.
Cayley graph by Ciro Santilli 40 Updated 2025-07-16
You select a generating set of a group, and then you name every node with them, and you specify:
  • each node by a product of generators
  • each edge by what happens when you apply a generator to each element
Not unique: different generating sets lead to different graphs, see e.g. two possible en.wikipedia.org/w/index.php?title=Cayley_graph&oldid=1028775401#Examples for the
Stereochemistry by Ciro Santilli 40 Updated 2025-07-16
Molecules that are the same if you just look at "what atom is linked to what atom", they are only different if you consider the relative spacial positions of atoms.
Normal subgroup by Ciro Santilli 40 Updated 2025-07-16
Only normal subgroups can be used to form quotient groups: their key definition is that they plus their cosets form a group.
One key intuition is that "a normal subgroup is the kernel" of a group homomorphism, and the normal subgroup plus cosets are isomorphic to the image of the isomorphism, which is what the fundamental theorem on homomorphisms says.
Therefore "there aren't that many group homomorphism", and a normal subgroup it is a concrete and natural way to uniquely represent that homomorphism.
The best way to think about the, is to always think first: what is the homomorphism? And then work out everything else from there.
Video 1.
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:
Video 2. Source. 2 hour talk at the Kavli Institute for Theoretical Physics. Too mathematical, 2021 Ciro can't make much out of it.
Video 3.
Lorenzo Sadun on the "Yang-Mills and Mass Gap" Millennium problem
. Source. Unknown year. He almost gets there, he's good. Just needed to be a little bit deeper.
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.

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!
We have two killer features:
  1. 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-calculus
    Articles 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/derivative
  2. 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.
    Figure 2.
    You can publish local OurBigBook lightweight markup files to either https://OurBigBook.com or as a static website
    .
    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.
  3. https://raw.githubusercontent.com/ourbigbook/ourbigbook-media/master/feature/x/hilbert-space-arrow.png
  4. Infinitely deep tables of contents:
    Figure 6.
    Dynamic article tree with infinitely deep table of contents
    .
    Descendant pages can also show up as toplevel e.g.: ourbigbook.com/cirosantilli/chordate-subclade
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