An **inner automorphism** is a specific type of automorphism of a group that arises from the structure of the group itself. In group theory, an automorphism is a bijective homomorphism from a group to itself, meaning it is a structure-preserving map that reflects the group's operations. An inner automorphism can be defined as follows: Let \( G \) be a group and let \( g \) be an element of \( G \).
Accessible tourism refers to the idea of making travel and related services available to all people, regardless of their physical, sensory, or cognitive abilities. The goal is to create an inclusive travel experience that accommodates the needs of individuals with disabilities, as well as elderly travelers or anyone who may require assistance while traveling. Key components of accessible tourism include: 1. **Infrastructure**: Ensuring that transportation, accommodations, attractions, and public spaces are designed or modified to be accessible to everyone.
The Acculturation Model refers to a framework used to understand how individuals or groups adopt the cultural traits or social patterns of another group, particularly when transitioning between cultures. This model is often discussed in the context of immigrants, refugees, and other groups encountering a new cultural environment. One of the most widely known formulations of the Acculturation Model was developed by John W. Berry in the 1980s.
A **radical polynomial** is a type of polynomial that contains one or more variables raised to fractional powers, which typically involve roots. In more formal terms, a radical polynomial can be expressed as a polynomial that includes terms of the form \(x^{\frac{m}{n}}\) where \(m\) and \(n\) are integers, and \(n \neq 0\).
The Hasse derivative is a mathematical concept used primarily in the context of p-adic analysis and algebraic geometry, particularly within the study of p-adic fields and formal power series. It is named after the mathematician Helmut Hasse. In simple terms, the Hasse derivative can be thought of as a form of differentiation that is adapted to p-adic contexts, similar to how we differentiate functions in classical calculus.
Stone algebra is a type of algebraic structure that arises in the context of topology and lattice theory, particularly in the study of Boolean algebras and their representations. The term is often associated with the work of Marshall Stone, a mathematician who made significant contributions to functional analysis and topology. In a more specific sense, Stone algebras can refer to: 1. **Stone Representation Theorem**: This theorem states that every Boolean algebra can be represented as a field of sets.
A fusion rocket is a type of propulsion system that utilizes nuclear fusion reactions to generate thrust. In theory, it harnesses the energy released when light atomic nuclei, such as isotopes of hydrogen (like deuterium and tritium), combine to form heavier nuclei. This process releases a substantial amount of energy, which could be used to propel a spacecraft.
The Adams–Williamson equation is a fundamental relation in geophysics and geomechanics that describes the relationship between pore pressure and effective stress in fluid-saturated porous media, particularly in the context of sedimentary rocks. It is used to relate the seismic wave velocities through the saturated rock to the properties of the rock and the fluid it contains.
An **addition chain** is a sequence of integers starting from 1, where each subsequent number is obtained by adding any two previous numbers in the sequence. The goal of an addition chain is to reach a specific target number using the fewest possible additions. For example, an addition chain for the number 15 could be: 1. Start with 1. 2. Add 1 + 1 to get 2. 3. Add 1 + 2 to get 3.
Aditi Mitra might refer to a person's name, but without additional context, it's hard to provide specific information about her. It could pertain to an individual in various fields such as academia, arts, business, or science.
As of my last knowledge update in October 2023, "Sinyan Shen" may refer to an individual or could be associated with a certain context that isn't widely recognized or documented in readily available sources.
Gosper's algorithm is a mathematical method used for the efficient calculation of definite sums of certain types of hypergeometric series. Named after the mathematician Bill Gosper, the algorithm provides a way to find closed-form expressions for a wide range of sums that can be expressed in terms of polynomial or rational functions. The primary strength of Gosper's algorithm lies in its ability to handle sums that can be represented by terms that include factorials, binomial coefficients, and other combinatorial elements.
Polynomial Identity Testing (PIT) is a problem in computer science and computational algebra that involves determining whether a given polynomial is identically zero. In other words, given a polynomial \( P(x_1, x_2, \ldots, x_n) \) expressed in some algebraic form, the task is to decide if \( P(x_1, x_2, \ldots, x_n) = 0 \) for all possible values of its variables.
A. Edward Nussbaum is a prominent figure known primarily for his work in the field of Jewish studies, particularly in relation to Jewish history and culture. He may also be recognized in the context of specific academic contributions or publications. Without additional context, it's unclear which specific aspects of A. Edward Nussbaum's work you are interested in, such as his academic publications, professional background, or any particular projects he has been involved in. If there's a specific area related to A.
Helen F. Cullen might refer to a specific individual, but there doesn’t seem to be widely recognized or prominent information available about a person with that name as of my last update in October 2023. It's possible she could be a lesser-known figure in a specific field, such as academia, literature, or another profession, or perhaps someone who has gained prominence more recently.
"A History of Vector Analysis" is a comprehensive account of the development of vector analysis, which is a branch of mathematics concerned with vector fields and operations associated with vectors, such as differentiation and integration. The work is authored by Florian Cajori, a mathematician who wrote extensively on the history and development of mathematical concepts.
Gagik Shmavonyan is not a widely recognized figure, at least as of my last knowledge update in October 2023. It's possible that the name refers to a person who may have gained prominence in a specific context, industry, or region.
As of my last knowledge update in October 2023, there isn't a widely recognized individual or concept known as "Alec Stokes." It's possible that he may be a private individual or a relatively new figure in popular culture, business, or another area that emerged after my last update.
Codd's cellular automaton, also known as Codd's Game of Life, is a cellular automaton developed by computer scientist Edgar F. Codd in 1968. It is a type of discrete model used to simulate the behavior of cells in a grid (or lattice) according to specific rules. Codd's cellular automaton is a simplified version of the more widely known "Game of Life" created by John Conway.

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