"Beat the House" is a series of video games developed by the company Intentional Software. The series focuses on educational casino-style games, where players can learn about various aspects of gambling, including game mechanics, strategies, and the mathematics behind games like blackjack, poker, and slots. Each game typically aims to provide an engaging way for players to understand the risks and probabilities involved in these games while allowing them to practice their skills in a low-pressure environment.
The generalized mean, also known as the power mean, is a family of means (averages) that can be defined for a set of positive real numbers. It generalizes several types of means, including the arithmetic mean, geometric mean, and harmonic mean, depending on the value of a parameter \( p \).
A beer can pyramid is a fun and informal structure made by stacking empty or full beer cans to create a pyramid shape. This activity is often seen at parties, gatherings, or tailgating events as a light-hearted challenge or competition among friends. The process typically involves arranging the cans in a stable configuration, starting with a broad base and reducing the number of cans on each subsequent layer to create a pyramid effect.
EnergySolutions is a company that specializes in providing services related to the management and disposal of radioactive and hazardous materials. Founded in the late 1990s and based in Salt Lake City, Utah, EnergySolutions focuses on the nuclear industry, offering a variety of services, including: 1. **Nuclear Waste Management**: EnergySolutions is involved in the safe transportation, treatment, and disposal of low-level radioactive waste and spent nuclear fuel.
In the context of mathematics, particularly in functional analysis and related fields, the term "Χ-bounded" (often written as X-bounded) refers to a property of a set or a family of functions. A set \( S \) of functions or operators is called X-bounded if it is uniformly bounded in the topology or structure defined by a space \( X \).
"Before You Were Punk 2" is a compilation album released by the punk rock label Fearless Records. It features a collection of songs from various artists, showcasing their influences and musical styles. The series is intended to highlight tracks that predate the punk genre, emphasizing its roots and the musical landscape that preceded it. The album typically includes covers, reinterpretations, or songs by bands that have inspired the punk movement.
"Behind the Curve" is a documentary film released in 2018 that explores the flat Earth movement and its followers. The film examines the beliefs of those who reject the established scientific consensus that the Earth is a sphere and instead promote the idea that the Earth is flat. It highlights the community dynamics within the movement, the motivations of its adherents, and the ways in which social media and the internet facilitate the spread of these unconventional beliefs.
"Being and Time" is a philosophical work by the German philosopher Martin Heidegger, published in 1927. It is considered one of the most important texts in 20th-century philosophy and has had a profound impact on existentialism, phenomenology, and hermeneutics. In "Being and Time," Heidegger explores the concept of "Being" (Sein) and seeks to understand what it means to exist.
Belgica Guyot is an underwater feature located in the Southern Ocean, specifically within the Amundsen Sea. It is classified as a guyot, which is a type of submerged volcanic island characterized by a flat top. Belgica Guyot is part of the larger Hawaiian-Emperor seamount chain, which consists of numerous underwater volcanic mountains.
Belinda is one of the natural satellites, or moons, of the planet Uranus. It was discovered in 1986 by the Voyager 2 spacecraft during its flyby of the Uranian system. Belinda is classified as a small moon and is part of a group of moons that are thought to have formed from the same material that formed Uranus itself. Belinda is approximately 162 kilometers (about 101 miles) in diameter and has a somewhat irregular shape.
Belt friction refers to the frictional force that occurs between a belt and the pulleys or surfaces over which it travels. This concept is important in mechanical engineering, particularly in the design and operation of belt-driven systems, such as conveyor belts, transmission belts, and various industrial machines. Belt friction is influenced by several factors: 1. **Material Properties**: The type of material used for the belt and the surface of the pulley can significantly affect the friction.
A belt transect is a research method used in ecology and environmental science to study and survey the distribution of plant and animal species across a specific area. It involves setting up a narrow strip (or "belt") that runs along a specific path or line through a habitat. The belt is usually of a fixed width, for example, 1 meter wide, and can vary in length depending on the study's objectives.
A benchtop nuclear magnetic resonance (NMR) spectrometer is a compact and user-friendly instrument used for molecular structure determination and analysis based on the principles of nuclear magnetic resonance. Unlike traditional large-scale NMR spectrometers, which are typically housed in dedicated laboratories and require significant infrastructure, benchtop NMR spectrometers are smaller, more affordable, and easier to operate.
Bengt Nordenskiöld (1864–1932) was a notable Swedish geologist, geographer, and explorer, known for his contributions to polar exploration and the study of geology in the polar regions. He is particularly recognized for his work in Antarctica and the Arctic, where he conducted important scientific research. Nordenskiöld was a member of the famous Nordenskiöld family, which included several prominent explorers and scientists.
Benoit Perthame is a French mathematician known for his work in applied mathematics, particularly in the field of kinetic theory and mathematical biology. He has contributed significantly to the mathematical understanding of certain models, including those related to population dynamics, fluid dynamics, and the behavior of systems described by partial differential equations. In addition to his research work, Benoit Perthame has also been involved in teaching and has published various academic papers and books on subjects within his area of expertise.
Berger's isoembolic inequality is a result in the field of differential geometry, particularly concerning Riemannian manifolds. The inequality deals with the comparison of volumes of geodesic balls (or "volumes" in a more general sense) in Riemannian manifolds that have certain curvature bounds.
Berkner Bank, also known as BBA Community Bank or Berkner Bank of the Americas, is a fictional institution typically referenced in the context of role-playing games, educational simulations, or hypothetical scenarios. It may also appear in discussions about economic systems or community banking within a specified setting.
The complex conjugate of a complex number is obtained by changing the sign of its imaginary part. A complex number is typically expressed in the form: \[ z = a + bi \] where: - \( a \) is the real part, - \( b \) is the imaginary part, and - \( i \) is the imaginary unit with the property \( i^2 = -1 \).
In the context of algebraic geometry and representation theory, a **complex reflection group** is a specific type of symmetry group that arises in the study of regular polytopes and their symmetries, particularly in complex vector spaces. Formally, a complex reflection group is defined as a finite group generated by complex reflections.

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