Map projection is the systematic method used to represent the three-dimensional surface of the Earth (which is roughly spherical) on a two-dimensional plane (such as a flat map). Since the Earth is curved, projecting its surface onto a flat map involves some distortions in area, shape, distance, or direction. Various map projections serve different purposes, and each has its own advantages and limitations depending on the specific requirements of the map's use.
"Arming" ships refers to the process of equipping naval vessels with weaponry and other military equipment essential for their operational capabilities. This includes the installation of guns, missiles, torpedoes, and various defense systems, as well as the integration of sensors and communication systems that allow the ship to engage in combat effectively.
Arginine catabolic mobile element (ACME) refers to a specific genomic element found in some strains of *Staphylococcus aureus*, particularly in methicillin-resistant *Staphylococcus aureus* (MRSA). ACME is known for harboring genes that are involved in the catabolism of arginine, an amino acid.
ArgoNeuT (Argon Neutrino Test) is an experimental project that focused on studying neutrinos using liquid argon as a detection medium. The primary goal of ArgoNeuT is to investigate neutrino interactions and to develop technologies for future larger-scale neutrino experiments, particularly those using liquid argon time projection chambers (LArTPCs). The ArgoNeuT experiment was conducted at Fermilab, a major particle physics laboratory in the United States.
Arithmetic topology is an emerging field at the intersection of arithmetic geometry and topology. It brings together concepts from both disciplines to study the topological properties of spaces that arise in number theory and algebraic geometry, particularly focusing on the properties of various kinds of schemes and their associated topological spaces. A prominent theme in arithmetic topology is the study of the relationships between algebraic objects (like varieties) and their topological counterparts.
ARJ is a file archiving format and a software utility for compression and archiving data. Its name is derived from the initials of its creator, Rajesh F. Jain. The ARJ format was first introduced in the early 1990s and was mostly used in DOS environments. ARJ stands out for several features: 1. **Compression**: It uses sophisticated compression algorithms that often result in smaller archive sizes compared to some other formats available at the time.
In topology, a **Dowker space** is a specific kind of topological space that has peculiar properties related to separability. A space \(X\) is called a Dowker space if it is a normal space (which means that any two disjoint closed sets can be separated by neighborhoods) but not every countable closed set in \(X\) can be separated from a point not in the closed set by disjoint neighborhoods.
Armin Weiss does not appear to be a widely recognized name or term in popular culture, history, or notable figures as of my last knowledge update in October 2023. It’s possible that he could be a private individual or a name relevant to a specific context or niche not covered broadly in public domains.
Arnfinn Laudal is a Norwegian mathematician, primarily known for his work in the fields of algebra and topology. He is recognized for contributions to mathematics education and has been involved in various mathematical research projects. His research interests may include areas such as algebraic topology, ring theory, or other mathematical disciplines, depending on the specifics of his academic work.
Prem Saran Satsangi is a spiritual leader and founder of the organization known as the "Satsang." He is known for promoting values of love, peace, and universal brotherhood through spiritual teachings. Satsang, in a general sense, refers to a gathering for spiritual discourse, reflection, and practice. Prem Saran Satsangi emphasizes practices such as meditation, self-inquiry, and living a life in line with higher spiritual principles.
Arrow's impossibility theorem, formulated by economist Kenneth Arrow in his 1951 work "Social Choice and Individual Values," addresses the challenges of aggregating individual preferences into a collective decision or social welfare function. The theorem states that no voting system can convert individual preferences into a collective outcome that satisfies a specific set of reasonable criteria at the same time.
Arthur Stewart Eve, commonly known as Art Eve, is a notable character from the "Wagadu Chronicles," an MMORPG (massively multiplayer online role-playing game) that is set in a fantasy world inspired by African cultures and mythology. The game is distinct for its focus on storytelling and community engagement, allowing players to create characters and narratives in this rich, diverse world.
Prem Kumar Bhatia could refer to various individuals, but without specific context, it is difficult to pinpoint exactly who you are referring to. There might be individuals with that name in different fields such as politics, business, arts, or academics.
Presburger arithmetic is a formal system that encompasses the first-order theory of the natural numbers with addition. It is named after the mathematician Mojżesz Presburger, who introduced it in 1929. The key features of Presburger arithmetic are: 1. **Language**: The language of Presburger arithmetic includes the symbols for natural numbers (usually represented as \(0, 1, 2, \ldots\)), the addition operation (often represented as \(+\)), and equality.
A Prescription Monitoring Program (PMP) is a statewide digital database that tracks the prescribing and dispensing of controlled substances. These programs are designed to help healthcare providers identify potential prescription drug abuse and misuse, facilitate better patient care, and support law enforcement efforts to combat prescription drug-related crimes. Key features of PMPs typically include: 1. **Data Collection**: PMPs collect data on prescriptions for controlled substances, including information about the prescriber, patient, and the medication prescribed.
The Von Neumann cellular automaton is a theoretical model of computation and a simple form of a cellular automaton devised by the mathematician John von Neumann in the 1950s. It is used to study self-replicating systems and complex behaviors that can emerge from simple rules. ### Structure: - **Cells:** The automaton consists of a two-dimensional grid of cells (often visualized as a square lattice).
The International Association of Mathematical Physics (IAMP) is an organization dedicated to the advancement of mathematical methods and their application to problems in physics. It serves as a platform for mathematicians and physicists to collaborate and exchange ideas. The presidents of IAMPP change periodically, and there are often notable figures in the field of mathematical physics who have held this position. The leadership of such organizations typically includes prominent researchers who are recognized for their contributions to mathematical physics.
Gautschi's inequality is a result in the context of approximation theory and special functions, particularly dealing with the behavior of certain orthogonal polynomials such as the Hermite and Laguerre polynomials. It provides bounds on the values of these polynomials or their derivatives. The inequality is typically stated for polynomials that arise in certain contexts, such as exponential integrals and related functions.

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