The GF method, or the Galerkin Finite Element method, is a numerical technique used for solving differential equations, particularly in the fields of engineering and applied mathematics. It is a type of finite element method (FEM) that combines the Galerkin method—which is a technique for converting a continuous problem (like a differential equation) into a discrete one—with the finite element analysis framework.
Alpenglow refers to the phenomenon where mountains, typically at sunset or sunrise, are bathed in a warm, reddish or pinkish light. This effect occurs when the sun is just below the horizon, casting its rays onto the mountains. The light interacts with the atmosphere and the snow or rocky surfaces of the mountains, creating a beautiful visual display. Alpenglow is often most pronounced on the peaks and ridges, where the sunlight has a more direct angle.
Aurorasaurus is a citizen science project and online platform that allows individuals to report and track auroras, or the Northern and Southern Lights. Launched in 2014, Aurorasaurus aims to gather real-time data on auroral events by collecting reports from amateur astronomers, photographers, and the general public. Users can share their experiences and photographs of auroras, which are then mapped and made available to researchers and the public.
A keogram is a type of visual representation used primarily in the field of atmospheric science, particularly in the study of auroras and other phenomena related to the Earth's magnetosphere. It is a 2D image that captures the brightness or intensity of a specific phenomenon over time. In a keogram, time is represented on one axis (usually the horizontal axis), while the vertical axis represents a specific spatial dimension — often the zenith angle or latitude of the observation site.
A double sunset refers to a phenomenon where two sunsets can be observed in quick succession. This typically occurs in areas with unique geographical features, such as high mountains or deep valleys, where the sun can dip below the horizon at different heights or angles, allowing observers to see the sun set multiple times from varying perspectives. Double sunsets are sometimes seen in places like the Écrins National Park in France or in certain regions of the Arctic, where the landscape allows for this unusual optical effect.
The photovoltaic effect is the creation of electric voltage or electric current in a material upon exposure to light. This phenomenon is the foundational principle behind photovoltaic cells, commonly known as solar cells, which are used to convert sunlight into electricity. Here's a more detailed explanation: 1. **Material Properties**: The photovoltaic effect occurs in certain materials, typically semiconductors, such as silicon. These materials have a band gap that allows them to absorb photons (light particles) with sufficient energy.
St. Elmo's fire is a phenomenon that occurs during thunderstorms, characterized by a visible blue or violet glow. It is caused by the ionization of air surrounding pointed or sharp objects, such as the mast of a ship or the spire of a church. When the electric field in the atmosphere becomes strong enough, it creates a discharge of electricity that results in a gentle and continuous glow at the tips of these objects. St.
Black hole cosmology is a theoretical framework that explores the relationship between black holes and the overall structure and evolution of the universe. This field of study investigates various aspects of cosmology—including the origin and fate of the universe—through the lens of black hole physics. Some of the key concepts and ideas in black hole cosmology include: 1. **Black Holes as Cosmic Structures**: Black holes can play a significant role in the formation of galaxies and large-scale structures in the universe.
Fuzzball is a concept within string theory, specifically in the context of understanding black holes and the nature of their information content. The term "fuzzball" is typically associated with the work of various researchers, particularly Samir Mathur and collaborators, who proposed that black holes in string theory may not be the singular, compact objects that are often depicted in classical physics.
A Gravastar, or "gravitational vacuum star," is a theoretical astrophysical object proposed as an alternative to black holes. The concept was introduced by physicist Pawel Mazur and Wojciech Zurek in the early 2000s. Gravastars are thought to be composed of a "vacuum" or "negative energy" state surrounded by a shell of exotic matter, which might be able to resist gravitational collapse.
The Lambda point refers to a specific temperature at which helium transitions from a normal fluid phase to a superfluid phase. This occurs at around 2.17 Kelvin (K) for helium-4, one of the isotopes of helium. At the Lambda point, the specific heat capacity of helium-4 diverges, which is indicative of a phase transition.
New England's Dark Day refers to a significant historical event that took place on May 19, 1780. On this day, an unusual darkening of the sky occurred across parts of New England, particularly in Connecticut, and extended into other northeastern states. The cause of this phenomenon was not immediately understood, leading to widespread speculation and fear.
Weather lore refers to a collection of sayings, beliefs, and traditional knowledge about weather patterns and phenomena, often passed down through generations. These proverbs and observations are based on the experiences of farmers, fishermen, and local communities who have observed how weather changes can influence daily life, agriculture, and natural events. Weather lore often includes folk rhymes, sayings, and anecdotes that aim to predict future weather based on signs observed in nature.
"Works about weather" could refer to a variety of artistic, literary, and scientific works that focus on weather phenomena. Here are a few interpretations of this topic: 1. **Literature**: Many authors have written about weather in their novels, poetry, and essays, using it as a backdrop to explore themes such as change, mood, and human experience.
Kinematics in the context of particle physics refers to the study of the motion of particles without considering the forces that cause this motion. It encompasses the analysis of the trajectories, velocities, and momenta of particles as they move through space and time, particularly when they are involved in interactions or collisions. Key concepts in kinematics include: 1. **Position**: The location of a particle in space at a given time, often described using coordinates.
Thomas J.R. Hughes is a prominent figure in the field of engineering, particularly known for his contributions to computational mechanics and the finite element method. He is a professor and researcher whose work has significantly influenced the development and application of numerical methods in engineering analysis, especially in the simulation of complex physical phenomena.
Beverley Shenstone is not widely recognized in mainstream sources or notable databases as of my last knowledge update in October 2023. It's possible that it could refer to a specific person, place, or concept that may not have significant coverage or relevance in general discussions or historical records.
Chia-Shun Yih is a notable figure in the field of fluid mechanics and applied mathematics. He is recognized for his contributions to the understanding of fluid dynamics, particularly in the areas of turbulent flow and boundary layer theory. Yih's work has influenced various disciplines, including engineering and physics. One of his key contributions is the formulation of Yih's theorem or the Yih's stability criterion, which pertains to the stability of certain types of flow conditions in fluid mechanics.
Milton Van Dyke, more commonly referred to in the context of fluid mechanics, is known for the "Van Dyke's method" or "Van Dyke's approach," which pertains to the study of fluid behavior near boundaries, particularly in the field of turbulence and boundary layer theory. He contributed significantly to the understanding of flow dynamics and stability.
Tony Maxworthy is a notable figure in the field of aerospace engineering, particularly recognized for his contributions to the study of jet engines, combustion, and fluid mechanics. He has been associated with several academic and research institutions, including positions at the University of Southern California (USC) where he has served as a professor and researcher. His work has involved the development and application of advanced computational techniques to understand and improve the performance of various propulsion systems.

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