In chemistry, particularly in the context of molecular and structural chemistry, "strain" refers to the instability or reactivity associated with the distortion of a molecule away from its most stable conformation. This concept is essential in understanding how molecular geometry impacts the physical and chemical properties of compounds.
As of my last knowledge update in October 2023, "Topicity" does not refer to a widely recognized concept, organization, or term. It is possible that "Topicity" could refer to a niche subject, a specific brand, or a newly emerging concept that gained traction after my last update.
RSS stands for Really Simple Syndication (or Rich Site Summary). It is a web feed format that allows users to access updates to online content in a standardized format. Websites use RSS feeds to provide a summary of their content, such as blog posts, news articles, or other updates, and users can subscribe to these feeds through RSS feed readers or aggregators.
Notation3 (N3) is a language designed for knowledge representation and semantic web applications. It is a shorthand and more human-readable syntax for expressing data and relationships in the Resource Description Framework (RDF), which is a standard model for data interchange on the web. ### Key Features of Notation3: 1. **Readable Syntax**: N3 is designed to be more user-friendly than other RDF serialization formats, such as RDF/XML.
RDF/XML is a syntax for encoding Resource Description Framework (RDF) data in XML format. RDF is a standard model for data interchange on the web and is primarily used to represent information about resources in a structured way. RDF allows data to be linked and shared across different systems and platforms. ### Key Features of RDF/XML: 1. **XML Syntax**: RDF/XML uses XML (eXtensible Markup Language) to describe RDF graphs.
RDF Schema (RDFS) is a semantic web standard that provides a framework for defining the structure of RDF (Resource Description Framework) data. It is designed to facilitate the sharing and reuse of data across the web by allowing developers to create vocabularies and ontologies that describe RDF resources and their relationships. RDF is a standard for encoding information in a machine-readable format using subject-predicate-object triples.
Ice class refers to a classification system used to denote the capability of ships, vessels, or offshore structures to navigate in icy or frozen waters. These classifications ensure that ships are designed and built to withstand the conditions and challenges posed by ice, including ice thickness, density, and the potential for ice loads. The ice class designation is typically part of a broader classification system established by classification societies, which assess and certify the safety and performance of marine vessels.
A semantic triple is a fundamental concept in the field of semantic web technologies and knowledge representation. It consists of three components that together represent a statement or piece of information. The three parts of a semantic triple are: 1. **Subject**: This represents the entity or thing being described. It is typically a resource identified by a URI (Uniform Resource Identifier) or a blank node in RDF (Resource Description Framework).
A Thing Description (TD) is a key concept in the Web of Things (WoT) architecture, which is designed to enable interoperability and integration among various Internet of Things (IoT) devices and services. A Thing Description is essentially a machine-readable document that provides a standardized way to describe the capabilities, properties, and interactions of a particular “thing” or device in the IoT ecosystem.
The Wiener–Ikehara theorem is a result in analytic number theory, which deals with the asymptotic distribution of the partition function \( p(n) \), specifically in relation to the number of partitions of an integer. More formally, it connects the asymptotic behavior of a certain generating function with the distribution of partitions.
The Continuum Hypothesis (CH) is a statement in set theory that deals with the size of infinite sets, particularly the sizes of the set of natural numbers and the set of real numbers. Formulated by Georg Cantor in the late 19th century, it posits that there is no set whose cardinality (size) is strictly between that of the integers and the real numbers.
The Gimel function typically refers to a function denoted by the Hebrew letter "Gimel" (ג) in the context of specific mathematical or scientific frameworks. However, the term could apply to different areas, and without additional context, it's hard to pinpoint its exact definition. In some contexts, especially in physics or applied mathematics, "Gimel" might refer to a specific type of function or transformation, but it's not a widely recognized standard term like sine, cosine, or exponential functions.
A complex measure is a generalized concept in measure theory that extends the notion of a measure to allow for complex-valued measures. While a traditional measure assigns a non-negative real number to a set (such as its "size" or "volume"), a complex measure can assign a complex number to a set.
Tarski's theorem about choice, often referred to in the context of set theory, particularly relates to the concept of choice functions and collections of sets.
Enumeration is a systematic listing or counting of items, elements, or objects. It can refer to various contexts, including: 1. **Mathematics and Computer Science**: In these fields, enumeration often refers to the process of systematically listing all possible configurations or combinations of a particular set. For example, in combinatorics, enumeration is used to count the number of ways to arrange or select items from a collection.
An uncountable set is a set that cannot be put into a one-to-one correspondence with the set of natural numbers (i.e., it cannot be counted by listing its elements in a sequence like \(1, 2, 3, \ldots\)). This means that the elements of an uncountable set are too numerous to match with the natural numbers.
Transcendental numbers are a specific type of real or complex number that are not algebraic. An algebraic number is defined as any number that is a root of a non-zero polynomial equation with integer coefficients. In simpler terms, if you can express a number as a solution to an equation of the form: \[ a_n x^n + a_{n-1} x^{n-1} + ...
A Gaussian moat is a concept in the field of probability and statistics, particularly in the analysis of random processes. It refers to a specific strategy or technique used in the context of stochastic processes, such as random walks or Brownian motion. The term is often associated with the study of diffusion processes, where the "moat" represents a barrier or boundary that influences the behavior of particles or agents in a random environment.

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 5. . 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.
  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