The BBC Micro expansion unit, often referred to as the BBC Microcomputer System expansion unit or simply an expansion unit, was a peripheral designed to enhance the functionality of the BBC Microcomputer series, which was introduced by Acorn Computers in the early 1980s. The BBC Micro was widely used in schools and homes in the UK and was notable for its educational emphasis and capability.
The Generalized Gauss–Newton (GGN) method is an extension of the standard Gauss–Newton algorithm used for solving nonlinear least squares problems. The Gauss–Newton method is a nonlinear optimization technique that provides a way to find the minimum of a sum of squares of nonlinear functions. It is particularly useful when dealing with problems where the objective function can be expressed as a sum of squared residuals.
A **probabilistic metric space** is a generalization of the concept of a metric space, where the notion of distance between points is represented by a probability distribution rather than a single non-negative real number. This framework is useful in various fields, including applied mathematics, statistics, and computer science, where uncertainty and variability are inherent in the data being analyzed.
The Behrend sequence refers to a construction in combinatorial number theory that produces sets of integers with certain properties related to the sum of their elements. In particular, the Behrend sequence is often associated with sets of integers that do not contain three-term arithmetic progressions.
"Belgitude" is a term that refers to the cultural identity and characteristics associated with Belgium. It is often used to explore the unique blend of influences and traditions that arise from Belgium's diverse regions, languages, and communities. Belgium has three primary language groups: Dutch-speaking Flanders in the north, French-speaking Wallonia in the south, and a small German-speaking community in the east. This multilingualism contributes to the complexity of Belgian identity.
Alhazen's problem, named after the medieval Arab mathematician and physicist Ibn al-Haytham (known as Alhazen), addresses the challenge of determining the position of a point light source based on the angles of incidence and reflection in a concave mirror. Specifically, it involves finding the location of a point source of light (such as a candle) outside a spherical mirror when given the angles at which the light reflects off the mirror's surface.
In algebraic topology, Betti numbers are a sequence of integers that provide important information about the topology of a topological space. They are used to classify spaces based on their connectivity properties and to understand their shape and structure. Specifically, the \(n\)-th Betti number, denoted \(b_n\), represents the rank of the \(n\)-th homology group \(H_n(X)\) of a topological space \(X\).
"Blown off course" is a phrase typically used to describe a situation where someone or something has been diverted from their intended path or direction, often due to unexpected circumstances. This expression is frequently used in both literal and metaphorical contexts: 1. **Literal Context**: In navigation or sailing, if a ship or aircraft is "blown off course," it means that strong winds or other environmental factors have caused it to stray from its intended route.
Bernard Wood is an influential geologist known for his work in the fields of geochronology, stratigraphy, and sedimentology, particularly concerning the history of Earth and its geological processes. He has contributed significantly to our understanding of the geological time scale, sedimentary processes, and the interpretation of Earth's rock record. In addition to his research contributions, Wood has been involved in education and public outreach in geology, helping to communicate complex geological concepts to broader audiences.
Bernoulli numbers are a sequence of rational numbers that have important applications in number theory and mathematical analysis, particularly in the computation of sums of powers of integers and in the theory of Fourier series. They are named after the Swiss mathematician Jacob Bernoulli.
The term "generation of primes" typically refers to the process of finding or generating prime numbers. There are various methods and algorithms used to achieve this, each with its own approach and efficiency. Here are a few common methods for generating prime numbers: 1. **Sieve of Eratosthenes**: This ancient algorithm efficiently identifies all prime numbers up to a specified integer \( n \). It works by iteratively marking the multiples of each prime starting from 2.
Math 55 is a well-known undergraduate mathematics course offered at Harvard University, often referred to as one of the most difficult undergraduate math classes. Formally titled "Advanced Math," it covers a variety of topics in higher mathematics, including real analysis, abstract algebra, and linear algebra, among others. The course is designed for highly motivated students and typically includes a significant amount of proof-based work and rigorous mathematical reasoning.
A Bessel beam is a type of wave that has an unusual structure characterized by a central lobe surrounded by concentric rings. It is a solution to the wave equation, similar to other wave types but with unique properties. Bessel beams are named after the mathematician Friedrich Bessel, as their intensity distribution is described by Bessel functions.
"What a Wonderful World" is a studio album by American country music artist Willie Nelson, released in 2019. The album features Nelson's interpretations of classic songs, with a focus on the themes of love, hope, and appreciation for life, which is encapsulated in the title track, originally written and popularized by Louis Armstrong. The album is characterized by its smooth, laid-back country sound and showcases Nelson's distinctive voice and style.
Bi-hemispherical reflectance is a measure of how much light is reflected by a surface when illuminated from all directions over a hemisphere and then measured from another hemisphere. It is typically expressed as a ratio or percentage of the incident light that is reflected. In more detail: - **Bi-hemispherical** refers to the two hemispheres involved in the measurement: the hemisphere from which light is incident and the hemisphere from which the reflected light is measured.
The binary entropy function quantifies the uncertainty associated with a binary random variable, which can take on two possible outcomes (commonly denoted as 0 and 1). It is an important concept in information theory, providing a measure of the amount of information or the level of disorder in a binary system.
Binary Reed-Solomon encoding is a type of error-correcting code that is used to detect and correct errors in data storage and transmission. Reed-Solomon codes are based on algebraic constructs over finite fields, and the binary variant specifically deals with binary data (0s and 1s). ### Key Features of Binary Reed-Solomon Encoding: 1. **Error Correction**: Reed-Solomon codes can correct multiple bit errors in a block of data.
Geocarto International is a company that specializes in remote sensing and geospatial technology solutions. It is involved in providing services related to geographic information systems (GIS), satellite imagery analysis, and environmental monitoring. Geocarto International typically offers products and services that help organizations and governments make informed decisions based on spatial data. The company may focus on various applications, including land-use planning, natural resource management, disaster response, and environmental assessments.
Press to Meco is a British alternative rock band known for their fusion of rock, progressive, and post-hardcore elements. Formed in 2013 in London, the band consists of members that include guitarist and vocalist Seb Barlow, bassist and vocalist Matt Fielder, and drummer and vocalist Luke Sanzone. They are recognized for their intricate guitar work, dynamic rhythms, and tight vocal harmonies that combine to create a distinctive sound.
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!
Intro to OurBigBook
. Source. We have two killer features:
- 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-calculusArticles 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/derivativeVideo 2. OurBigBook Web topics demo. Source. - 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.
- to OurBigBook.com to get awesome multi-user features like topics and likes
- as HTML files to a static website, which you can host yourself for free on many external providers like GitHub Pages, and remain in full control
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. - Infinitely deep tables of contents:
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





