A **profinite group** is a type of topological group that has a very specific structure. These groups are characterized by several key features: 1. **Definition**: A profinite group is a compact, totally disconnected, Hausdorff topological group that is isomorphic to the inverse limit of a system of finite groups. In more intuitive terms, you can think of profinite groups as "limits" of finite groups that retain a group structure.
"Reference" can have several meanings depending on the context in which it is used. Here are a few common interpretations: 1. **General Definition**: A reference generally denotes a mention or a citation of a particular source, such as a book, article, or other document, that provides support or evidence for a statement or argument. 2. **In Academic Writing**: In academic contexts, references are the sources cited in a research paper or scholarly article.
Information economics is a branch of economics that deals with the study of how information and information systems affect economic decision-making and the functioning of markets. It examines the roles that information plays in the behavior of economic agents, such as consumers and firms, and how asymmetric information—situations where one party has more or better information than another—can lead to market failures.
The term "Z-group" can refer to different concepts depending on the context. Here are a few interpretations: 1. **Mathematics**: In group theory, a Z-group could refer to a group that is isomorphic to the additive group of integers, denoted as \( \mathbb{Z} \). This is a fundamental example of an infinite cyclic group.
"Comparisons" generally refer to the act of evaluating two or more items, concepts, or entities in order to identify similarities and differences between them. This can occur in various contexts, including: 1. **Literary Comparisons**: Analyzing themes, styles, or character developments in different works of literature. 2. **Product Comparisons**: Evaluating features, prices, and quality of similar products to help consumers decide which to purchase.
"Disclosure" generally refers to the act of making information known or public, particularly information that was previously private or confidential. It can occur in various contexts, such as: 1. **Legal Context**: Disclosure in legal terms often involves the process of providing evidence or information to the other party in a legal case. This can include the sharing of documents, testimonies, and other materials relevant to the proceedings.
Authority control is a system used in libraries, archives, and information management to maintain consistent and standardized access to information about entities, such as people, organizations, places, and subjects. It ensures that there is a uniform way to reference these entities across various data sets, databases, and catalogs, which helps to avoid confusion and improve the discoverability of resources.
Information science is an interdisciplinary field that focuses on the collection, classification, storage, retrieval, and dissemination of information. It encompasses a range of topics and practices related to the management of information in various formats and contexts, including digital, printed, and multimedia forms. Here are some key aspects of information science: 1. **Information Management**: This involves strategies and practices for organizing and maintaining information systems, ensuring that information is accessible and usable.
A Global Information System (GIS) refers to a system that enables the collection, storage, analysis, and dissemination of information on a global scale. This type of system is characterized by its ability to integrate data from various geographical locations and sources, allowing organizations and individuals to access, analyze, and utilize information that is relevant across different regions and cultures.
Information hazard refers to information that can cause harm or adverse effects if it is disclosed, shared, or otherwise disseminated. This concept is primarily relevant in various fields, including ethics, security, and research, where certain information poses risks to individuals, societies, or environments if exposed. Here are some key aspects of information hazards: 1. **Types of Information Hazards**: These may include sensitive personal data, classified governmental information, intellectual property, or research findings that could be misused (e.
An information society is a socioeconomic system in which the creation, distribution, and manipulation of information become a significant economic, political, and cultural activity. In such a society, information and knowledge are central to the functioning of institutions and individuals, influencing everything from business operations to social interactions. Key characteristics of an information society include: 1. **Prevalence of Information Technology**: The widespread use of digital technologies and communication infrastructure enables easy access, processing, and sharing of information.
Information sensitivity refers to the classification of information based on how sensitive it is in terms of privacy, confidentiality, and security. It determines the level of protection required to ensure that the information is handled appropriately and that the risk of unauthorized access or disclosure is minimized. Different types of information sensitivity might include: 1. **Public Information**: Data that can be freely shared without any potential harm if disclosed. For example, general marketing materials or publicly available data.
Market-moving information refers to news, data, or events that have the potential to significantly influence the price of assets in financial markets. This type of information can impact stock prices, bond yields, currency exchange rates, commodity prices, and other market instruments. Examples of market-moving information include: 1. **Economic Data Releases**: Reports such as GDP growth rates, unemployment figures, inflation rates (CPI, PPI), and manufacturing indices can affect investor sentiment and market expectations.
Information theory has been shaped by contributions from numerous theorists of various nationalities. Here are some notable figures and their nationalities: 1. **Claude Shannon** - American: Often referred to as the father of information theory, Shannon's groundbreaking work laid the foundation for the field in the 1940s. 2. **Norbert Wiener** - American: A mathematician and philosopher, Wiener is known for his work in cybernetics, which intersects with information theory.
Etienne Vermeersch (1934–2021) was a prominent Belgian philosopher, ethicist, and scholar known for his work in the fields of philosophy, ethics, and social theory. He was a professor at the University of Ghent and made significant contributions to debates on bioethics, euthanasia, and the philosophy of science. Vermeersch was an advocate for rational discourse and often engaged in public discussions on ethical issues, emphasizing the importance of reason in societal debates.
Ioannis Kontoyiannis is a notable figure in the field of information theory and statistical learning. He is widely known for his contributions to various areas, including data compression, coding theory, and machine learning. Kontoyiannis has published numerous research papers and has been involved in academia, often holding positions at universities and participating in conferences related to his areas of expertise.
Marcel-Paul Schützenberger (1920-1996) was a notable French mathematician renowned for his contributions to several areas, particularly in automata theory, formal languages, and combinatorics. He played a pivotal role in the development of algebraic language theory and is known for introducing concepts such as Schützenberger's theorem.
Microfluidic modulation spectroscopy is a technique that combines the principles of microfluidics with spectroscopic methods to analyze and manipulate small volumes of fluids at the microscale. This approach is particularly useful in various fields such as chemistry, biology, and materials science, as it allows for the study of samples with high sensitivity and precision.
The Tolman electronic parameter, often abbreviated as \( \tau \), is a measure used in coordination chemistry to describe the trans influence of ligands in a coordination complex, particularly with regard to how they affect the electronic properties of metal centers. Specifically, it provides insight into the ability of a ligand to stabilize certain oxidation states of a metal ion and how they interact electronically with the metal. The parameter is named after Richard C.
Public inquiries are formal investigations conducted by government bodies or independent organizations to examine specific issues of public concern. These inquiries often address significant events, controversies, or issues affecting the public interest, such as accidents, disasters, public policy failures, or human rights violations. The primary objectives of public inquiries are to: 1. **Establish Facts**: To gather evidence and understand the circumstances surrounding a particular event or issue.
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





