EMBII by Ciro Santilli 37 Updated 2025-07-16
One of the dudes from the AtomSea & EMBII Bitcoin-based file upload system.
Figure 1.
EMBII's usual profile image
. Source.
Two-dimensional Yang–Mills theory is a gauge theory that generalizes the concept of Yang–Mills theories to two spatial dimensions. In general, Yang–Mills theories are constructed from a gauge field that transforms under a symmetry group (the gauge group), and they play a crucial role in modern theoretical physics, particularly in quantum field theory and the Standard Model of particle physics.
The list of nuclear incidents in Japan includes various accidents, leaks, and problems related to nuclear power plants, research facilities, and other nuclear-related activities. Here are some significant incidents: 1. **Tokaimura Nuclear Accident (1999)**: A criticality accident occurred at a uranium processing facility in Tokaimura, Ibaraki Prefecture, resulting in two deaths and several others exposed to radiation. It was the first serious nuclear accident in Japan since the start of the nuclear power program.
The Jupiter trojans are a group of asteroids that share Jupiter's orbit around the Sun, located at the L4 and L5 Lagrange points, which are approximately 60 degrees ahead of and behind Jupiter in its orbit. The ones denoted as part of the "Greek camp" typically refer to those that are positioned at the L4 point.
The Jupiter trojans are a group of asteroids that share Jupiter's orbit around the Sun, clustering around the two stable Lagrange points (L4 and L5) which are 60 degrees ahead and behind Jupiter in its orbit, respectively. The List of Jupiter Trojans (Trojan camp) from 300001 to 400000 includes numerous numbered asteroids in that range.
The 2016 reboot of "MacGyver" aired for five seasons from September 23, 2016, to April 30, 2021. Below is a list of episodes by season: ### Season 1 (2016-2017) 1. **The Rising** 2. **Wire Cutter** 3. **Awl** 4. **Fire + Ashes** 5. **Coaligator** 6. **Zero Day** 7.
The list of minor planets from 135001 to 136000 includes various asteroids that have been assigned numerical designations. This is part of the systematic cataloging of small celestial bodies within our solar system, primarily focusing on those that have been discovered and confirmed. Each minor planet is typically named after a person, place, or concept related to science, culture, or history.
The list of minor planets numbered 168001 to 169000 includes a range of asteroids and other small celestial bodies that have been assigned numbers by the Minor Planet Center. Each of these minor planets has its own unique characteristics, orbits, and sometimes names. The list typically includes details such as their designation numbers, discovery dates, and names (if applicable).
The list of minor planets numbered from 175001 to 176000 includes a collection of small celestial bodies that orbit the Sun. These minor planets, often referred to as asteroids, have been assigned numbers by the International Astronomical Union (IAU) as they are discovered.
The list of minor planets numbered between 202001 and 203000 includes a wide range of asteroids and other small celestial bodies that have been assigned a number by the Minor Planet Center. These minor planets can vary in size, composition, and orbit characteristics, and they come from various regions of the solar system, including the asteroid belt and beyond.
The "List of minor planets: 205001–206000" refers to the cataloging of minor planets (also known as asteroids) that have been assigned numeric designations between 205001 and 206000. These minor planets are typically designated with a number upon discovery, and many may have additional names or designations based on mythological, historical, or other significant figures or events.
The list of minor planets from 218001 to 219000 includes various small celestial bodies that orbit the Sun. Minor planets, often referred to as asteroids, include a wide range of objects, including those found in the asteroid belt, trans-Neptunian objects, and centaurs. Each minor planet is designated with a unique number, and many also have names.
The list of minor planets designated with numbers from 228001 to 229000 includes various small celestial bodies, primarily asteroids, that have been cataloged by the Minor Planet Center. Each minor planet is assigned a unique number upon discovery. You can find detailed information about each of these minor planets, including their orbits, size, and discovery circumstances, on platforms like the JPL Small-Body Database or the Minor Planet Center's website.
Isomorphism theorems are fundamental results in abstract algebra that relate the structure of groups, rings, or other algebraic objects via homomorphisms. These theorems provide insight into how substructures correspond to quotient structures and how these correspondences reveal important properties of the algebraic system. The most well-known isomorphism theorems apply to groups, but similar ideas can be extended to rings and modules.
Network theory is a broad field that studies the relationships, structures, and interactions within different kinds of networks. Here’s a list of various topics commonly explored in network theory: ### 1. **Fundamentals of Network Theory** - Definition and types of networks (e.g., directed, undirected) - Graph theory basics (nodes, edges, weighted/unweighted graphs) - Types of graphs (bipartite, complete, planar, etc.) ### 2.
In algebraic geometry, specifically in the theory of schemes, a morphism of schemes is a fundamental concept that describes a structure-preserving map between two schemes. The notion is analogous to morphisms between topological spaces but takes into account the additional algebraic structure associated with schemes. A morphism of schemes is defined as follows: Let \( X \) and \( Y \) be schemes.
A "List of named matrices" typically refers to a collection of matrices that have specific names and often originate from various applications in mathematics, science, and engineering. These matrices can serve different purposes, such as representing linear transformations, solving systems of equations, or serving as examples in theoretical discussions.
In mathematics, particularly in the field of category theory, a **morphism** is a structure-preserving map between two objects in a category. The concept of a morphism helps to generalize mathematical concepts by focusing on the relationships and transformations between objects rather than just the objects themselves. A morphism typically has the following characteristics: 1. **Objects**: In a category, you have objects which can be anything: sets, topological spaces, vector spaces, etc.

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