An arc lamp is a type of electric light that produces light by means of an electric arc. The basic principle behind an arc lamp involves creating a high-voltage electric arc between two electrodes, which can be made of carbon or other conductive materials. The intense heat generated by the arc vaporizes the material around the electrodes, producing a bright and intense light. Arc lamps are notable for their high brightness and efficiency, making them suitable for a variety of applications.
Cache-oblivious algorithms are designed to take advantage of the hierarchical memory structure of modern computer architectures without needing to know the specific parameters of that hierarchy, such as cache sizes and block sizes. In the case of distribution sorting, the goal is to sort a collection of data elements efficiently by leveraging these cache characteristics. ### Cache-Oblivious Distribution Sort Cache-oblivious distribution sort is a type of sorting algorithm that uses a distribution-based approach while being cache-efficient.
First-pass yield (FPY) is a measurement used in manufacturing and quality control to evaluate the efficiency and effectiveness of a production process. It refers to the percentage of products that are manufactured correctly and meet quality standards on the first attempt, without requiring any rework or additional inspection.
The Flow-following, finite-volume Icosahedral Model (FIM) is a computational framework used in atmospheric and oceanic modeling, particularly for simulating large-scale fluid dynamics. This model leverages an icosahedral grid structure, which is advantageous for achieving high accuracy and efficiency in numerical simulations of geophysical flows.
A hyperboloid structure refers to a type of geometric shape that can be represented mathematically as a hyperboloid. Hyperboloids can be classified into two main types based on their geometry: 1. **One-sheeted hyperboloid**: This has a single continuous surface and resembles a saddle or an hourglass.
The Order-5 Icosahedral 120-cell honeycomb is a highly complex and fascinating structure in the field of mathematics and geometry, specifically in the study of higher-dimensional spaces and tessellations. To break it down: 1. **Icosahedral**: This term relates to the icosahedron, which is a polyhedron with 20 triangular faces. It is one of the five Platonic solids and is known for its symmetry and geometric properties.
Mary Fowler is a notable geologist recognized for her contributions to the field of geology, particularly in relation to geological processes and the study of sedimentary rocks. While specific details about her work may vary, she has often been associated with research that enhances the understanding of geological formations, sediment transport, and the history of Earth's crust.
Procrustes transformation, often used in statistics and shape analysis, refers to a set of statistical methods aimed at matching two sets of data points by removing non-essential differences. The primary goal is to minimize the discrepancies between shapes while preserving the intrinsic geometrical structure. Here are the key components of Procrustes transformation: 1. **Shape Alignment**: The method is typically employed to align shapes represented by points in a Euclidean space.
Jie (Jackie) Li is a Chinese-born Canadian mathematician known for her contributions in the field of mathematics, particularly in areas related to algebra, combinatorics, and number theory. She has been recognized for her research and has published various papers in these fields.
Geophysics is the study of the Earth's physical properties and processes using quantitative physical measurements. It encompasses various fields, including seismology, magnetism, gravity, and heat flow, among others.
Spectral noise logging is a geophysical technique used primarily in the field of hydrocarbon exploration and reservoir characterization. It involves the collection and analysis of seismic data to identify and evaluate subsurface characteristics based on the natural or induced seismic noise in the geological formations.
Geophysical societies are professional organizations that focus on the study and advancement of geophysics, which is the study of the Earth using quantitative physical methods. These societies bring together researchers, practitioners, and students in fields related to geology, geodesy, geodynamics, seismology, meteorology, and other areas where physical principles are applied to understand the Earth's processes and phenomena.
Abraham Gotthelf Kästner (1719–1800) was a German mathematician, astronomer, and philosopher known for his contributions to various fields including mathematics and education. He is often recognized for his work in promoting mathematics as an essential discipline in education and for his efforts in organizing educational structures in Germany. Kästner authored several textbooks and works that helped to shape mathematical education.
Friedrich Carl Alwin Pockels was a German physicist known for his contributions to the field of optics and for his work on electro-optic effects. He is perhaps best known for the Pockels effect, which describes the change in the refractive index of a material in response to an applied electric field. This effect is important in various applications, including the development of electro-optic devices and modulators.
Ewald Wollny appears to refer to a specific individual, but there may not be widely available or notable information on him in public sources.
Johann Heinrich Jakob Müller, commonly known as J.H. Müller, was a significant figure in the field of physiology and anatomy in the 19th century. He is perhaps best known for his contributions to sensory physiology, particularly his work on the structure and function of the sensory organs and the principles of sensory perception.
Juan Pablo Paz is an accomplished Argentine theoretical physicist, known for his work in the fields of quantum information, quantum optics, and condensed matter physics. He has made significant contributions to the understanding of quantum mechanics and its applications, including research in topics like quantum entanglement and the dynamics of open quantum systems.
In graph theory, a **bridge** (also known as a **cut-edge**) is an edge in a connected graph whose removal increases the number of connected components of the graph. In simpler terms, a bridge is an edge that, when deleted, disconnects the graph, effectively separating it into two or more disjoint parts. Bridges are important in network design and reliability analysis because they represent critical connections whose failure would fragment the network.
The Hyper-Wiener index is a graph invariant used in the study of chemical graph theory, where it is often applied to describe the structural properties of molecules. Specifically, it captures information about the connectivity and topology of a molecular graph. The Hyper-Wiener index \( W^h(G) \) for a graph \( G \) is defined based on the distances between pairs of vertices in the graph.
A Partial k-tree is a data structure used primarily in the field of combinatorial optimization and computer science, particularly in topics related to the representation of combinatorial objects or configurations, such as combinations, subsets, or sequences. In general, a k-tree is a tree structure that represents all possible configurations of k elements chosen from a larger set, and it can be used for various applications, including generating combinations or permutations.

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