Compositio Mathematica is a mathematical journal that publishes research articles in various fields of pure and applied mathematics. Established in 1935, it is known for its high-quality papers, featuring contributions from prominent mathematicians. The journal covers a wide array of topics, including algebra, analysis, geometry, number theory, and more. Compositio Mathematica is recognized for its rigorous peer-review process and aims to disseminate significant new research findings to the mathematical community.
"Groups, Geometry, and Dynamics" often refers to a field of study in mathematics that intersects the areas of group theory, geometric structures, and dynamical systems. This area of research explores how groups (particularly discrete groups) act on geometrical spaces and how these actions relate to the dynamical properties of the system.
The International Journal of Applied Mathematics and Computer Science (AMCS) is a scholarly publication that focuses on the intersection of applied mathematics and computer science. It typically features research articles, reviews, and papers on various topics that apply mathematical techniques to solve computational problems and explore the theoretical foundations of computer science. Key areas of interest often include: 1. **Algorithm Design and Analysis**: Research on efficient algorithms and their applications in various fields.
The Mathematical Intelligencer is a popular mathematics magazine that presents mathematical ideas and research to a broad audience. It features articles that cover a wide range of topics in mathematics, often highlighting interesting problems, historical perspectives, and the connections between mathematics and other fields. The magazine is known for its engaging writing style, making complex mathematical concepts accessible to readers who may not have a deep background in mathematics.
The number 7 is a natural number that follows 6 and precedes 8. It is an odd integer and is considered a prime number, as its only positive divisors are 1 and itself.
In computing, "2016" may refer to several different things depending on the context: 1. **Year**: It could simply refer to the year 2016, which saw various developments in technology, software, and hardware. Notable events include the release of Windows 10 as a standard operating system, advancements in machine learning, and the growing popularity of cloud computing.
The 2020s have experienced several notable internet outages that affected millions of users globally. Here are some key instances: 1. **Zoom Outage (2020)**: During the COVID-19 pandemic, Zoom saw significant outages in April 2020, impacting users who relied on the platform for remote work and virtual gatherings.
As of my last update in October 2023, several programming languages have been created or gained notable traction in the 2020s. Here are a few examples: 1. **Lilypond**: Although the original version predates the 2020s, Lilypond has undergone significant updates and gained new features that have made it a popular choice for music engraving.
IBM, or International Business Machines Corporation, has a rich history that spans over a century, marked by innovation, evolution, and a significant impact on the technology landscape. Here are key milestones in IBM's history: ### Early Years (1888 - 1924) - **1888**: IBM's roots can be traced back to the establishment of Bundy Manufacturing Company, which produced time recording systems.
A Top-Level Domain (TLD) is the last segment of a domain name, which is the part that follows the final dot. For instance, in the domain name "example.com," the TLD is ".com." TLDs are part of the Domain Name System (DNS) hierarchy and help categorize domain names.
In rally racing, a co-driver (also known as a navigator) is a crucial member of the racing team who assists the driver throughout the event. The primary responsibilities of a co-driver include: 1. **Navigation:** The co-driver reads and interprets pace notes, which are detailed descriptions of the rally stage's terrain and conditions. These notes help the driver anticipate turns, jumps, hazards, and other features of the course.
Tide tables are charts or tables that provide information about the times and heights of tides for specific locations over a period of time, usually represented monthly. Tides are the rise and fall of sea levels caused by the gravitational pull of the moon and the sun, and they can vary based on geographical location, time of year, and astronomical conditions. Tide tables typically include: 1. **Date**: The day of the month for which the tide information is relevant.
The product integral is a mathematical concept that is used as a continuous counterpart to the discrete product. Just as the sum of a series can be represented as a definite integral (the Riemann integral), the product of a sequence can be represented using a product integral.
Loxodromic navigation, also known as rhumb-line navigation, refers to a method of navigating across the Earth's surface by following a path that crosses all meridians at the same angle. This type of navigation is particularly useful for sea and air travel because it simplifies course plotting and allows for constant compass reading. When a vessel follows a loxodrome, it appears as a straight line on a Mercator projection map.
The term "speed of advance" generally refers to the rate at which a particular front or boundary moves forward over time. It can be used in various contexts: 1. **Military**: In a military context, speed of advance can describe how quickly troops or units are moving toward a target or position. 2. **Engineering and Construction**: In construction, it may refer to the rate at which a project progresses or how quickly work is completed.
The Revelation Principle is a concept in mechanism design, a field of economics and game theory. It states that for any mechanism or system designed to achieve a certain outcome or allocate resources, it is possible to design a direct mechanism (or mechanism with straightforward reporting) that achieves the same outcome when participants report their private information truthfully.
Pollock's conjecture refers to a hypothesis in the field of number theory, specifically relating to the behavior of certain quadratic forms and the representation of integers as sums of squares. It conjectures that there are infinitely many ways to represent prime numbers as sums of two squares, and it was proposed by the mathematician A.B. Pollock.
The term "Fermi-Dirac prime" refers to a specific type of prime number that arises from the Fermi-Dirac distribution, which is a statistical distribution that describes the occupancy of energy levels by fermions (particles that follow the Pauli exclusion principle, such as electrons). In more detail, the Fermi-Dirac distribution is used in quantum statistics to describe how particles occupy quantum states at thermal equilibrium, especially at absolute zero temperature.
Lucky numbers are a sequence of natural numbers that are generated by a specific sieve process, first introduced by the mathematician Leonhard Euler. The process of generating lucky numbers is similar to that used in the Sieve of Eratosthenes for finding prime numbers, but instead of eliminating multiples of prime numbers, it eliminates numbers based on their positions.
A primary pseudoperfect number is a type of integer closely related to the concepts of number theory, particularly with respect to the properties of its divisors. A positive integer \( n \) is called a primary pseudoperfect number if it can be expressed as the sum of a subset of its proper divisors (the divisors excluding itself) plus one.

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