Ezra Getzler is an academic known for his work in mathematics, particularly in the field of dynamical systems and mathematical biology. He is associated with creating mathematical models that explore complex systems and their behaviors.
In functional analysis, the concept of extensions of symmetric operators plays a crucial role, particularly in the context of unbounded operators on Hilbert spaces. Here’s an overview of the key aspects of this topic: ### Symmetric Operators 1.
External debt refers to the portion of a country's total debt that is owed to foreign creditors. This can include loans from foreign governments, international financial institutions (like the International Monetary Fund or World Bank), private banks, or individual investors located outside the debtor country. External debt can be denominated in foreign currencies and generally includes both principal and interest payments. External debt can be an important aspect of a country's economy, as it can provide much-needed capital for development, infrastructure, and other projects.
External sorting is a technique used for sorting large amounts of data that cannot fit into the computer's main memory (RAM) at once. This is common in cases where datasets are larger than the available RAM, such as sorting files stored on disk, databases, or processing large data streams. ### Key Features and Concepts of External Sorting: 1. **External Storage**: External sorting typically involves data that resides on external storage devices, such as hard drives or SSDs, rather than being held in RAM.
The Falkland Current is a cold ocean current that flows northward along the eastern coast of South America, primarily along the continental shelf off the coast of Argentina. It originates from the Antarctic Circumpolar Current and is influenced by the cold waters of the South Atlantic Ocean. The Falkland Current plays a significant role in the regional marine ecosystem and climate. It contributes to the upwelling of nutrients, which supports rich marine biodiversity, including important fisheries.
"Fallout" is a television series based on the popular video game franchise of the same name, developed by Bethesda Game Studios and published by Bethesda Softworks. The series was announced in 2020 and is produced by Amazon Prime Video. The show aims to capture the post-apocalyptic themes and unique storytelling elements that have characterized the Fallout games, which are set in a retro-futuristic world affected by nuclear war.
A homology sphere is a topological space that behaves like a sphere in terms of its homological properties, even if it is not actually a sphere in the classical sense. More formally, an \( n \)-dimensional homology sphere is a manifold that is homotopy equivalent to the \( n \)-dimensional sphere \( S^n \), and, importantly, it has the same homology groups as \( S^n \).
Glycomimetics are synthetic compounds designed to mimic the structures and functions of carbohydrates (glycans) in biological systems. These molecules can interact with proteins that recognize sugars, such as lectins or glycan-binding proteins, and are often employed to modulate biological processes.
Faster-than-light (FTL) travel refers to the hypothetical concept of traveling faster than the speed of light, which is approximately 299,792 kilometers per second (186,282 miles per second) in a vacuum. According to our current understanding of physics, particularly Einstein's theory of relativity, as an object approaches the speed of light, its mass increases, and it would require an infinite amount of energy to actually reach or exceed that speed.
Father Time is often depicted as a personification of time, typically represented as an old man with a long beard, carrying a scythe and an hourglass. This figure embodies the passage of time and the inevitability of aging and death. In various cultural depictions, Father Time is contrasted with the concept of the New Year or youth, symbolizing the cyclical nature of life.
Federal Statistical Research Data Centers (RDCs) are secure facilities in the United States where researchers can access confidential data from various federal statistical agencies. These centers are designed to facilitate research while ensuring the privacy and confidentiality of individuals and businesses represented in the data. RDCs allow researchers to conduct detailed analyses using data from agencies such as the U.S. Census Bureau, the Bureau of Labor Statistics, the National Center for Health Statistics, and others.
Ferranti Pegasus is a family of computers developed by Ferranti Ltd in the 1960s. It was one of the early commercial computers designed for academic and research institutions. The Pegasus series was known for its use in scientific computing and was notable for its solid-state memory and the ability to handle floating-point arithmetic efficiently. The most recognized model in the series is the Ferranti Pegasus II, which featured improvements in processing power and memory capacity compared to its predecessors.
Fertile materials are substances capable of undergoing fission (splitting of atomic nuclei) to produce energy, as well as being capable of breeding or being converted into fissile materials (materials that can sustain a fission chain reaction). In nuclear physics and engineering, fertile materials can be transformed into fissile materials through neutron absorption and subsequent nuclear reactions.
The Horsehead Nebula, located in the Orion constellation, has inspired various works of fiction across literature, film, and other media. While there isn't a specific singular story titled "Fiction about the Horsehead Nebula," the nebula has served as a striking backdrop and symbol in multiple narratives, often eliciting themes of mystery, the cosmos, and the unknown.
The Goldschmidt tolerance factor, often denoted as \( t \), is a measure used in mineralogy and materials science to predict the stability of mixed oxide phases, particularly in perovskite structures. It was introduced by the mineralogist Victor Moritz Goldschmidt in the early 20th century. The tolerance factor is defined using the ionic radii of the involved cations and anions in the crystal structure.
GPSD, or GPS Daemon, is an open-source software program that establishes a service for managing GPS (Global Positioning System) data on a Unix-like operating system. It acts as an interface between GPS devices and applications that need to utilize location information. Key features of GPSD include: 1. **Device Independence**: It abstracts the complexities of interacting with various GPS hardware, allowing multiple applications to access location data from various GPS devices simultaneously without needing to know the specifics of those devices.
A guanine tetrad, also known as a G-tetrad, is a specific structural motif formed by the interaction of four guanine (G) nucleobases in nucleic acids, primarily DNA or RNA. In this arrangement, four guanine bases come together to form a planar, square-shaped structure stabilized by hydrogen bonding and Hoogsteen base pairing.
The graph coloring game is a two-player combinatorial game based on the principles of graph theory. In this game, players take turns coloring the vertices of a graph with the goal of ensuring that no two adjacent vertices share the same color. ### Key Components of the Game 1. **Graph**: The game is played on a finite graph, which consists of a set of vertices (nodes) connected by edges (lines).
Graph distance refers to a measure of distance between nodes (or vertices) in a graph. In graph theory, nodes are the individual entities (like cities, web pages, etc.), and edges are the connections or relationships between these entities. There are a few different interpretations and methodologies for calculating graph distance, depending on the type of graph and the specific context: 1. **Shortest Path Distance**: The most common definition of graph distance is the shortest path distance between two nodes.
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!
Intro to OurBigBook
. Source. We have two killer features:
- 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-calculusArticles 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/derivativeVideo 2. OurBigBook Web topics demo. Source. - 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.
- to OurBigBook.com to get awesome multi-user features like topics and likes
- as HTML files to a static website, which you can host yourself for free on many external providers like GitHub Pages, and remain in full control
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. - Infinitely deep tables of contents:
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





