Hückel's rule is a principle in organic chemistry that provides a criterion for the stability of cyclic, planar, and fully conjugated polyene systems. According to Hückel's rule, a cyclic compound will exhibit aromatic stability if it contains \(4n + 2\) π electrons in its conjugated system, where \(n\) is a non-negative integer (0, 1, 2, etc.).
Igor Mashechkin does not appear to be a widely recognized figure or entity in publicly available information as of my last update in October 2023. It's possible that he may be a private individual, a professional in a specific field, or a lesser-known public figure.
Inherent risk refers to the level of exposure to risk that exists in the absence of any controls or mitigation measures. It represents the natural level of risk associated with a specific process, activity, or decision based on its nature and circumstances. Inherent risk is often evaluated in various fields, such as finance, auditing, and risk management, to understand potential threats and vulnerabilities.
Inside GNSS is a publication that focuses on the global navigation satellite systems (GNSS) industry. It covers a wide range of topics related to GNSS technology, including satellite navigation, positioning, and related applications. The magazine provides news, analysis, and insights into developments in GNSS technology, policy, and market trends. It targets professionals and organizations involved in GNSS and related fields, such as aerospace, telecommunications, automotive, and surveying.
The Institute of High Energy Physics (IHEP) is a research institution that typically focuses on the field of particle physics and high energy physics. Such institutes are often involved in various aspects of fundamental research, including the development and operation of particle accelerators, the study of subatomic particles, and the exploration of fundamental forces. There are several notable institutes around the world that focus on high energy physics, with one of the most prominent being the IHEP located in Beijing, China.
The BCJR algorithm, named after its authors Bahl, Cocke, Jelinek, and Raviv, is a well-known algorithm used for decoding convolutional codes, which are widely used in communication systems for error correction. The algorithm operates in the context of maximum a posteriori (MAP) estimation, enabling it to efficiently decode received signals by computing the most likely sequence of transmitted information bits based on the observed noisy signals.
In the context of set theory and formal languages, a **decidable sublanguage** typically refers to a subset of a formal language in which the truth of statements can be determined algorithmically—meaning there exists a mechanical procedure (or algorithm) that can decide whether any given statement in that language is true or false. ### Key Concepts: 1. **Formal Language**: A set of symbols and rules for manipulating those symbols that can be used to construct statements.
Quasilinear utility is a specific form of utility function used in economics to represent consumer preferences. In a quasilinear utility function, one of the goods is linear in consumption, while the utility derived from other goods is nonlinear. This type of utility function simplifies the analysis of certain economic problems, particularly in the context of consumer choice and public goods.
Decision Expert is typically a term that can refer to various decision-making tools or software designed to assist individuals and organizations in making informed choices based on data and analytics. While the term itself might not refer to a specific product widely recognized, it generally involves features such as: 1. **Data Analysis**: Tools that analyze relevant data and provide insights. 2. **Modeling Scenarios**: Allowing users to create and evaluate different scenarios to understand potential outcomes.
Deep learning in photoacoustic imaging refers to the application of deep learning techniques to enhance and optimize the processes involved in photoacoustic imaging (PAI). Photoacoustic imaging is a biomedical imaging technique that combines optical and ultrasound imaging. It works by using short pulses of laser light to illuminate biological tissues, which absorb the light and generate ultrasound waves due to thermal expansion. These ultrasound waves can then be detected to create images that provide information about tissue composition, structure, and function.
Quasi-quotation is a concept from programming languages, particularly in the context of meta-programming and languages with strong support for symbolic manipulation, such as Lisp and Racket. It allows for code to be constructed dynamically while still being able to include certain parts of the code as unaltered expressions.
Defective coloring is a concept in graph theory, which is a branch of mathematics and computer science that studies the properties and applications of graphs. In a defective coloring of a graph, the aim is to assign colors to the vertices of the graph such that no two adjacent vertices share the same color, with the allowance that vertices can have neighbors (adjacent vertices) that share the same color—this is where the term "defective" comes from.
Pamela Cook could refer to different individuals depending on the context. She is perhaps best known as an Australian author, particularly in the genre of contemporary fiction and romance. Cook has written several novels that often explore themes related to personal growth, relationships, and family dynamics.
Sweden has a rich history in technology and computer manufacturing, hosting several companies that have since become defunct. Here are a few notable defunct computer companies from Sweden: 1. **DataGeneral Sweden**: Originally a subsidiary of the American company Data General Corporation, it was involved in creating minicomputers and later workstations before eventually closing its operations.
Ceva's theorem is a result in geometry that provides a condition for the concurrency of three lines drawn from the vertices of a triangle to the opposite sides.
Dénes Kőnig is a prominent Hungarian mathematician known for his contributions to combinatorial mathematics, particularly in graph theory. He is best known for the "Kőnig's theorem," which is a fundamental result in bipartite graphs, stating that in any bipartite graph, the size of the maximum matching is equal to the size of the minimum vertex cover.
El Hierro is the smallest and least populated of the Canary Islands, which are an autonomous community of Spain located off the northwest coast of Africa. The island is known for its rugged terrain, volcanic landscapes, and diverse ecosystems. It covers an area of about 278 square kilometers (107 square miles) and has a population of around 10,000 inhabitants. El Hierro is characterized by its dramatic cliffs, lush forests, and volcanic craters.
Dental lasers are specialized devices that use focused light energy to perform various dental procedures. They emit a concentrated beam of light, which can be absorbed by different tissues in the mouth, such as gums and teeth, depending on the wavelength of the laser. This technology is utilized for a range of applications in dentistry due to its precision, effectiveness, and minimally invasive nature.
A quintal is a unit of measurement used to quantify mass or weight. The term originates from the Latin word "quintus," meaning "fifth," as it was historically defined as the fifth part of a metric hundredweight. In the metric system, a quintal is equal to 100 kilograms (kg) or approximately 220.46 pounds (lbs).

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