A complete lattice is a specific type of lattice in order theory, a branch of mathematics that deals with the arrangement, comparison, and organization of elements. In a complete lattice, every subset of the lattice has both a least upper bound (supremum) and a greatest lower bound (infimum).
The Arthur L. Schawlow Prize in Laser Science is an award established to recognize outstanding contributions to the field of laser science. It is named in honor of Arthur Leonard Schawlow, an American physicist who, along with Charles Townes, was awarded the Nobel Prize in Physics in 1981 for his work on lasers and laser spectroscopy.
The Dedekind–MacNeille completion is a construction in order theory that provides a way of creating a complete lattice from a partially ordered set (poset). Specifically, it allows you to take any poset and extend it to a complete lattice by adding the least upper bounds and greatest lower bounds that were missing.
A halo is an optical phenomenon that appears around the sun or moon, typically as a bright ring or circle. Halos are caused by the refraction, reflection, and dispersion of light, usually sunlight or moonlight, through ice crystals suspended in the atmosphere, often in cirrus or cirrostratus clouds. The most common type of halo is the 22-degree halo, which forms a circle with a radius of approximately 22 degrees around the sun or moon.
A subsumption lattice is a mathematical structure used primarily in the field of formal concept analysis and knowledge representation, particularly in description logics and ontology modeling. It provides a way to represent relationships between concepts (or classes) in a hierarchical manner based on subsumption relationships.
Lawrence Livermore National Laboratory (LLNL) is a federal research facility located in Livermore, California, primarily focused on national security, scientific research, and technology development. The staff at LLNL comprises a diverse group of professionals including scientists, engineers, technicians, and support personnel from various disciplines such as physics, engineering, chemistry, materials science, and computer science. LLNL is known for its work in areas like nuclear deterrence, advanced energy systems, and computational science.
The LLNL RISE process, developed by Lawrence Livermore National Laboratory (LLNL), refers to a method for producing advanced materials, particularly in the field of additive manufacturing and 3D printing. The acronym RISE stands for "Rapid Interactive Software Environment." The RISE process focuses on enhancing the manufacturing and design capabilities for complex geometries typically found in engineering applications. This process leverages advanced simulations, machine learning, and data-driven approaches to optimize material properties and manufacturing processes.
The Mirror Fusion Test Facility (MFTF) is a research facility designed to study and develop magnetic confinement fusion, specifically utilizing the concept of mirror confinement. It is part of ongoing efforts to explore various approaches to achieving controlled nuclear fusion, a process that could potentially provide a nearly limitless and clean source of energy if successfully developed.
Peloton is a high-performance supercomputer that was developed with the intention of advancing research and scientific computation. It has been employed in various fields, such as climate modeling, material science, and complex simulations, providing researchers with the computational power necessary to tackle demanding tasks that require extensive data processing. Peloton is notable for its advanced architecture and scalability, which allows it to perform a vast number of calculations simultaneously.
Software maintenance refers to the process of updating, modifying, and improving software applications after their initial deployment. It encompasses various tasks aimed at correcting errors, enhancing performance, adapting to new hardware, and ensuring the software remains functional and relevant over time. Software maintenance is a critical phase in the software development lifecycle (SDLC) and can be categorized into several types: 1. **Corrective Maintenance**: This involves fixing bugs and errors that were not identified during the initial development process.
The Acorn Online Media Set Top Box is a device designed to deliver streaming content, often focused on providing a wide range of entertainment options, including movies, television shows, and other media. While Acorn Media typically specializes in British television content, particularly dramas, comedies, and documentaries, the set-top box itself serves as a platform to access Acorn TV and other online streaming services. The device typically connects to a television and the internet, allowing users to watch content on-demand.
Stockpile stewardship is a program primarily associated with the maintenance and management of a nation's nuclear arsenal, particularly within the framework of the United States' nuclear stockpile. The main goal of stockpile stewardship is to ensure the safety, security, and reliability of nuclear weapons without the need for active testing, especially since comprehensive nuclear test bans have become a standard in international nuclear non-proliferation agreements.
The Sustained Spheromak Physics Experiment (SSPX) is an experimental project focusing on plasma physics, specifically investigating the behavior and stability of spheromaks. A spheromak is a type of laboratory plasma configuration that seeks to achieve magnetic confinement of hot ionized gases (plasmas). This research is significant for advancing our understanding of magnetic fusion and potentially contributing to future energy generation technologies.
Eid Hourany is a Lebanese social media influencer, entrepreneur, and creator known for her content on platforms like Instagram and TikTok. She gained popularity for her lifestyle, fashion, beauty, and travel-related posts, where she shares her experiences and insights with her followers. In addition to her social media presence, she may also be involved in various business ventures and collaborations with brands in the fashion and beauty industries.
An **attractor** is a concept used primarily in mathematics and physics, particularly in the study of dynamical systems. It refers to a set of values toward which a system tends to evolve over time. Here are some key points about attractors: 1. **Types of Attractors**: - **Fixed Point Attractors**: These are single points in state space. If the system's state is near this point, it will eventually converge to it.
"CHILL" can refer to different things depending on the context. Here are a few possibilities: 1. **General Meaning**: The word "chill" often refers to the act of relaxing or unwinding. It can be used as a verb (e.g., "Let's chill at home") or as a noun (e.g., "I just want to have a chill day").
An indexed file is a type of file organization used in databases and information systems to enhance the speed and efficiency of data retrieval and organization. The concept of an indexed file involves maintaining a data file along with an associated index that allows for rapid searching, sorting, and retrieval of records. ### Key Characteristics of Indexed Files: 1. **Index Structures**: The index serves as a lookup table that includes keys or pointers to the actual data records in the file.
The term "open formula" can refer to different concepts depending on the context in which it is used: 1. **Mathematics/Logic**: In mathematical logic, an open formula is a predicate that contains free variables. Unlike closed formulas (which are universal statements that can be evaluated as true or false), open formulas depend on the values assigned to their free variables.
A Herman ring is a concept in the field of dynamical systems, specifically in complex dynamics. It refers to a type of invariant set that arises in the study of maps, particularly those that are holomorphic or involve complex functions. A Herman ring is associated with a certain type of periodic point and is characterized by the presence of annular regions where the dynamics exhibit quasiconformal or non-unique properties.
Bra-ket notation is a standard notation used in quantum mechanics to represent quantum states and their inner products. It was introduced by physicist Paul Dirac and is a part of his formulation of quantum mechanics. In bra-ket notation, a "ket" is denoted by the symbol \(|\psi\rangle\), where \(\psi\) represents a particular quantum state.

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