In group theory and coding theory, a **coset leader** is a concept used to describe a representative (or "leader") from a set of cosets of a subgroup within a group. More specifically, it is often employed in the context of error-correcting codes. When dealing with linear codes, the idea of a coset leader becomes particularly important. A linear code can be viewed as a vector space over a finite field.
A **convex combination** is a specific type of linear combination of points (or vectors) where the coefficients are constrained to be non-negative and sum to one.
The Conway groups are a series of finite groups that arise in the study of symmetry and group theory, particularly associated with the mathematical work of John Horton Conway.
"Lily Wang" could refer to different individuals or entities, as it is a common name. Without specific context, it's difficult to determine which "Lily Wang" you're referring to. - It could refer to a notable person in a specific field, such as academia, business, or the arts. - It might be the name of a fictional character in a book, movie, or other media. - It could also refer to a local business or organization named after someone with that name.
Montserrat Fuentes is a name that could refer to a few different people or contexts, depending on the area of interest (e.g., academia, literature, etc.). However, one prominent figure associated with this name is Montserrat Fuentes, a statistician and academic known for her work in the field of statistics and biostatistics. She might be involved in research, teaching at a university, or contributing to statistical methodologies.
Cosmic-ray telescopes are specialized instruments designed to detect and analyze cosmic rays, which are high-energy particles originating from outer space. These particles can include protons, atomic nuclei, and electrons, and they travel through space at nearly the speed of light. Cosmic rays are of interest to scientists because they provide valuable information about astrophysical processes, cosmic sources, and fundamental physics. There are several types of cosmic-ray telescopes, and they can vary in design and detection methods.
YAK, which stands for "Yet Another Key," is a cryptographic protocol designed to facilitate the secure sharing of information over potentially insecure networks. The term may refer to various implementations or concepts within the cryptography field, particularly focusing on key exchange or secure communication. YAK is designed to address certain challenges in cryptographic key exchange mechanisms, such as ensuring confidentiality, integrity, and authenticity of the keys being exchanged.
Afterhyperpolarization (AHP) is a phase that occurs in the action potential of a neuron following the depolarization phase and repolarization. During AHP, the membrane potential becomes more negative than the resting membrane potential, making the neuron less excitable for a brief period. This phenomenon is primarily due to the slow closure of potassium (K⁺) channels that open in response to the cell’s depolarization.
"Covers 2" is an album by the British folk band Show of Hands, released in 2018. It features a collection of cover songs that are reinterpreted in the duo's distinctive folk style. The album follows their earlier release, "Covers," and includes a variety of tracks that showcase their musical influences while also paying tribute to various artists and songs.
The amalgamation property refers to a characteristic of certain algebraic structures, typically in the context of model theory in mathematical logic, but can also apply to various areas of mathematics, including topology and algebra.
"Crazy" is an album by Spanish singer Julio Iglesias, released in 1976. It showcases Iglesias's signature romantic style, featuring a blend of pop and traditional Latin music. The album includes both original songs and covers, demonstrating his ability to connect with audiences through emotive lyrics and melodies. "Crazy" is notable for its inclusion of the title track, which highlights Iglesias's smooth vocal delivery.
The Gish gallop is a rhetorical technique used in debates and discussions where one party presents a large number of arguments, points, or pieces of evidence in a short amount of time, with the aim to overwhelm the opponent and the audience.
As of my last knowledge update in October 2023, there isn't a widely recognized concept, product, or entity specifically named "Guiltive." It’s possible that it could be a brand, service, or term that emerged after that time.
Data mining is the process of discovering patterns, trends, and knowledge from large sets of data using a variety of techniques. It combines principles from fields such as statistics, machine learning, artificial intelligence, and database systems to extract useful information and transform it into an understandable structure for further use. Key components of data mining include: 1. **Data Collection**: Gathering large amounts of data from various sources, which can include databases, data warehouses, or online sources.
Ferrocement is a type of construction material that consists of a thin, reinforced concrete shell made from a mesh of steel reinforcement bars or wire, which is embedded in a mortar or concrete mix. The term "ferro" refers to iron, while "cement" refers to the binding material. This technique was developed to combine the tensile strength of steel with the compressive strength of concrete.
A ramp generator is an electronic circuit or device that produces a ramp waveform, which is a linear rise and fall of voltage (or current) over time. The ramp waveform is characterized by a steady increase in voltage over a specific duration, followed by a return to a lower voltage level. This waveform is typically used in various applications, including testing, signal processing, and control systems.
The Graphical Path Method is a technique used primarily in project management to analyze and visualize the sequence of tasks required to complete a project and to assess the impact of delays in any part of the project schedule. This method is often associated with the Critical Path Method (CPM) and serves as a tool for project planning and control. **Key Aspects of the Graphical Path Method:** 1.
A groundwater model is a quantitative representation of groundwater systems used to simulate and analyze groundwater flow and related processes. These models help hydrogeologists and water resource managers to understand and predict the behavior of groundwater in various conditions. Groundwater models can be categorized into several types and serve various purposes: ### Types of Groundwater Models: 1. **Analytical Models**: These are mathematically derived solutions for simplified groundwater flow equations. They are typically used for straightforward scenarios and can provide quick estimates.
An additively indecomposable ordinal is a type of ordinal number that cannot be expressed as the sum of two smaller ordinals. In formal terms, an ordinal \(\alpha\) is considered additively indecomposable if, whenever \(\alpha = \beta + \gamma\) for some ordinals \(\beta\) and \(\gamma\), at least one of \(\beta\) or \(\gamma\) must be zero.
Hannah Arendt was a prominent 20th-century political theorist and philosopher, known for her works on totalitarianism, authority, and the nature of power and politics. Born on October 14, 1906, in Hanover, Germany, she was a Jewish intellectual who fled the Nazi regime and eventually settled in the United States.

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