The Gelfand–Shilov space, often denoted as \( \mathcal{S}_{\phi} \) for a suitable weight function \( \phi \), is a specific type of function space that is used extensively in the theory of distributions and functional analysis. It is particularly useful in the study of locally convex spaces and analytic functions.
A weak order, in the context of mathematics and decision theory, refers to a type of preference relation that is characterized by a transitive and complete ordering of elements, but allows for ties. In the context of utility and choice theory, weak orders enable the representation of preferences where some options may be considered equally favorable. A weak order unit typically refers to the elements or alternatives that are being compared under this ordering system.
In category theory, an **amnestic functor** is a type of functor that exhibits a specific relationship with respect to the preservation of certain structures. The concept may not be as widely recognized as other notions in category theory, and it's important to clarify that terms might differ slightly based on the context in which they are used.
Wetzel's problem is a question in mathematical logic and set theory, specifically related to the properties of functions and sets. It was posed by the mathematician David Wetzel in the context of exploring the properties of certain types of functions.
Ring galaxies are a type of galaxy characterized by a prominent ring-like structure surrounding a central core. These galaxies typically have a distinct, well-defined ring of stars, gas, and dust that forms either as a result of gravitational interactions during collisions or mergers with other galaxies or as a result of internal processes.
GLASS-z12 is a distant galaxy that was identified in a study related to the GLASS (Gravitational Lensing Australian Space Observatory) project. This galaxy is significant because it is one of the earliest known galaxies observed, believed to have formed just 400 million years after the Big Bang. Researchers consider it to be a key object of study for understanding galaxy formation and evolution in the early universe.
Sergey Gulev is a prominent Russian oceanographer known for his contributions to the field of marine science, particularly in areas such as ocean circulation, climate change, and the study of marine ecosystems. He has been involved in research related to the dynamics of the world's oceans and their impact on global climate systems.
Lists of galaxies are compilations of galaxies categorized and organized based on various criteria such as their type, location in the sky, or other characteristics. These lists can include well-known galaxies, like the Milky Way and Andromeda, as well as more obscure ones. Here are a few common ways galaxies are organized in lists: 1. **By Type**: Galaxies can be classified into types based on their shape and structure, such as: - Spiral galaxies (e.g.
SMM J2135-0102 is a distant quasar or active galactic nucleus that is notable for being one of the most luminous objects in the universe. It was discovered through observations of the submillimeter waveband and is located about 12.5 billion light-years away from Earth.
The Barnes G-function is a special function in mathematical analysis and number theory, which generalizes the gamma function and is related to various areas such as complex analysis, combinatorics, and the theory of special functions. It was introduced by the mathematician W. R. Barnes in the early 20th century. The Barnes G-function, denoted as \( G(a; b) \), is defined for complex numbers and can be constructed from the Gamma function.
A list of sulfur lamp installations would typically refer to locations or instances where sulfur lamps, which are high-intensity light sources, are used. These lamps emit light by passing an electric current through sulfur vapor, creating a bright source of illumination that is often used in various applications such as outdoor lighting, streetlights, and specialized industrial uses. However, detailed lists of specific installations could vary widely and might not be readily available in public domains.
The Yablochkov candle, named after Russian electrical engineer Pavel Yablochkov, was an early form of electric arc lamp used for street lighting and other applications in the late 19th century. Developed around 1878, the Yablochkov candle consists of two carbon electrodes placed parallel to each other, separated by a thin insulating material, and encased in a cylindrical glass envelope. When an electric current passes through the electrodes, an arc forms between them, producing light.
The Bavarian State Office for Survey and Geoinformation (Bayerisches Landesamt für Vermessung und Geoinformation, or BLVG) is a governmental agency in Bavaria, Germany, that is responsible for land surveying, geoinformation, and mapping services. Its primary functions include: 1. **Land Surveying**: Conducting surveys to determine property boundaries and maintaining the cadastral system, which records land ownership and property rights.
The Faculty of Geodesy at the University of Zagreb is a specialized educational and research institution in Croatia focused on geodesy, which is the science of measuring and understanding the Earth's geometric shape, orientation in space, and gravitational field. Established in 1772, the Faculty of Geodesy is one of the oldest institutions of its kind in the world.
The field of physics has a rich history, with numerous influential publications that have significantly shaped our understanding of the universe. Here’s a list of some important publications in physics, spanning various subfields: 1. **Isaac Newton - "Philosophiæ Naturalis Principia Mathematica" (1687)** - Introduced the laws of motion and universal gravitation.
The Computational Infrastructure for Geodynamics (CIG) is a collaborative initiative that focuses on providing resources, tools, and frameworks for researchers studying geodynamics and related fields. It aims to advance the understanding of Earth’s structure, processes, and evolution by facilitating the development and application of computational models and simulations.
Isostasy is a geological concept that describes the state of gravitational equilibrium between the Earth's lithosphere (the rigid outer layer of the Earth) and the underlying asthenosphere (a semi-fluid layer of the upper mantle). According to the principle of isostasy, the Earth's crust "floats" on the denser, more fluid mantle beneath it, much like an iceberg floats in water.
The Global Navigation Grid Code (GNGC) is not a widely recognized term as of my last update in October 2023. However, it may refer to a system or code used for global navigation, possibly in the context of geographic information systems (GIS), satellite navigation, or related fields. In these areas, grid codes can be essential for identifying specific locations on Earth, coordinating movement, or organizing spatial data.
A dip circle, also known as a dip needle or magnetic dip instrument, is a type of scientific instrument used to measure the angle of inclination of the Earth's magnetic field relative to the horizontal plane. This angle is known as the magnetic dip or magnetic inclination. The dip circle typically consists of: 1. **A magnetic needle:** This needle is freely pivoted and can rotate in a horizontal plane. The needle aligns itself with the local magnetic field.
The Computerized Approach to Residential Land Analysis refers to the utilization of computer technology and software to evaluate, analyze, and manage residential land for various purposes, such as urban planning, real estate development, property appraisal, and environmental assessment. This approach often involves the integration of Geographic Information Systems (GIS), remote sensing, and data analytics to gather, analyze, and visualize spatial data related to land use, zoning, demographics, infrastructure, and environmental features.

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