Real Analysis Exchange is a mathematical journal that provides a platform for research and scholarship in the field of real analysis and related areas. The journal typically publishes articles that contribute to various aspects of real analysis, including but not limited to functional analysis, measure theory, integration, and topology. One of the distinctive features of Real Analysis Exchange is its focus on the exchange of ideas and developments within the community of mathematicians working in real analysis.
Rejecta Mathematica is an online platform and journal dedicated to the publication of research in mathematics, particularly focusing on papers that have been rejected by other journals. It provides a space for researchers to share their work, regardless of its acceptance status in traditional peer-reviewed venues. The goal is to promote transparency and collaboration in the mathematical community, allowing scholars to access and review a wider range of mathematical ideas and results.
In the context of matroid theory, a **basis** of a matroid is a maximal independent set of elements from a given set, typically referred to as the ground set of the matroid. To explain these concepts more clearly: 1. **Matroid**: A matroid is a combinatorial structure that generalizes the concept of linear independence in vector spaces.
Born rigidity is a concept in the field of relativistic physics, particularly in the context of special relativity. It refers to the idea of an object's ability to maintain its shape and size while moving through spacetime without undergoing any deformation due to relativistic effects. The term comes from the work of Hermann Minkowski and is named after Max Born, who contributed significantly to the understanding of the topic.
The Born–Landé equation is an important formula in the field of solid-state physics and crystallography. It is used to calculate the lattice energy of ionic crystals, which is the energy required to separate one mole of a solid ionic compound into its gaseous ions. Lattice energy is a crucial factor in understanding the stability and strength of ionic compounds.
Gauss's law for magnetism is one of the four Maxwell's equations, which are fundamental to electromagnetism. Specifically, Gauss's law for magnetism states that the total magnetic flux passing through a closed surface is zero.
Mechanical fasteners are devices used to join two or more components together in a variety of applications. They provide a secure and stable connection while allowing for disassembly if necessary. Mechanical fasteners can be made from a variety of materials including metal, plastic, and composite materials and are used in a diverse range of industries, including construction, automotive, aerospace, and manufacturing.
A centrifugal pendulum absorber is a type of vibration-damping device often used in machinery and automotive applications to mitigate torsional vibrations. It leverages the principles of centrifugal force and pendulum motion to absorb and dissipate vibrational energy. Here’s how it generally works and its key components: ### Working Principle: 1. **Basic Concept**: The device consists of a pendulum or a series of pendulums that are mounted on a rotating shaft.
Design for Manufacturability (DFM) is an engineering practice aimed at designing products in a way that optimizes their manufacturing process. The goal of DFM is to simplify and streamline the production process to improve product quality, reduce manufacturing costs, and shorten time to market. By taking into account the manufacturing capabilities and limitations during the design phase, DFM helps ensure that products can be efficiently and economically produced.
Michel Hénon is a French mathematician and astrophysicist best known for his contributions to dynamical systems and celestial mechanics. He is particularly renowned for the Hénon map, a specific type of chaotic map that serves as an important example in the study of dynamical systems and chaos theory. The Hénon map is a discrete-time dynamical system that can exhibit chaotic behavior, and it has been widely studied for its complex structures, including strange attractors.
The Skewb Diamond is a variation of the Skewb puzzle, which is a twisty puzzle similar to a Rubik's Cube. The Skewb itself consists of a cube with six faces and can be rotated around its corners. The Skewb Diamond takes this concept further by incorporating a diamond shape and additional complexity in the movement of its pieces. In a Skewb puzzle, the faces can be turned independently, allowing for a variety of combinations.
The Pyramorphix is a type of puzzle that is a variant of the Rubik's Cube and similar to other twisty puzzles. It is a geometric shape made from pyramid-like structures that can rotate around its vertices. The puzzle typically consists of a combination of triangular and square faces, and the challenge lies in twisting and turning the pieces to achieve a consistent color pattern on each face.
Medieval English mathematicians were scholars and thinkers who contributed to the field of mathematics during the medieval period, roughly spanning from the 5th to the late 15th centuries. This era saw a continuation and preservation of classical mathematical knowledge, along with the introduction of new ideas influenced by other cultures, particularly through Islamic scholarship.
Irreversible electroporation (IRE) is a medical technique that involves the application of short bursts of high-voltage electrical pulses to biological tissues, resulting in the permanent disruption of cell membrane integrity. This process allows therapeutic agents to enter cells or can lead to cell death. ### Key Features of Irreversible Electroporation: 1. **Mechanism**: The electric pulses create pores in cell membranes.
The Wells curve, also known as the Wells score, is a clinical tool used to assess the probability of deep vein thrombosis (DVT) in a patient based on clinical criteria. Developed by Dr. Philip Wells and his colleagues, this scoring system helps clinicians decide whether to further investigate for DVT using imaging or to initiate prophylactic treatment. The Wells score consists of several criteria, each assigned a certain number of points.
Harriet Burns was an American engineer and one of the first women to work as a technical engineer at the Walt Disney Company. She played a significant role in the development of various attractions and projects at Disney, particularly in the field of design and model making. Burns is often recognized for her contributions to the creation of notable Disney theme park attractions and her pioneering work in a predominantly male industry.
Babbacombe Model Village is a miniature attraction located in Babbacombe, a suburb of Torquay in Devon, England. It features an extensive display of intricately crafted model buildings, landscapes, and scenes, providing a detailed portrayal of British life and scenery in miniature form. Established in 1963, the village spans several acres and includes over 400 model buildings and a variety of animated scenes, such as vehicles, trains, and people engaging in various activities.
Cullen Gardens and Miniature Village was a popular attraction located in Whitby, Ontario, Canada. It featured a beautifully landscaped garden, along with a miniature village that showcased scale model replicas of various buildings and scenes, reflecting both historical and contemporary structures. The attraction opened in 1983 and was known for its scenic walking trails, floral displays, and themed gardens.
Grand World Scenic Park is a theme park located in Vietnam's Phu Quoc island, which is known for its beautiful beaches and vibrant natural landscapes. The park features a variety of attractions, including themed areas, entertainment shows, cultural performances, and recreational activities. It aims to provide visitors with a mix of nature experiences and cultural immersions, showcasing the rich heritage and beauty of Vietnam. Opened in recent years, the park has quickly become a popular destination for both local and international tourists.

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