Sergei N. Artemov is a prominent figure in the field of mathematical logic and computer science, particularly known for his contributions to proof theory and constructive mathematics. He has made significant strides in areas such as formal logic, epistemic logic, and the foundational aspects of mathematics. Additionally, Artemov has worked on topics relating to automated theorem proving and the interplay between formal systems and computational applications.
Stefan Cohn-Vossen (1902–1936) was a notable German mathematician known for his contributions to differential geometry and topology. He is best remembered for his work on the theory of surfaces, particularly in relation to minimal surfaces and the geometry of curves and surfaces. Cohn-Vossen collaborated with other prominent mathematicians, including David Hilbert, and his insights have had a lasting impact on the fields of mathematics and geometry.
Alexander Stepanov is a physicist known for his contributions to the field of physics, particularly in areas related to condensed matter physics and materials science. He has been involved in research that explores the properties of various materials, often using advanced techniques to understand their behavior at the atomic and molecular levels. Much of his work may involve theoretical and experimental approaches, including the study of electronic properties of materials, superconductivity, and other phenomena relevant to modern physics and engineering applications.
Andrei Sakharov (1921-1989) was a prominent Soviet physicist, dissident, and human rights activist. He is best known for his role in the development of the Soviet hydrogen bomb, but he later became a vocal advocate for civil liberties, nuclear disarmament, and human rights in the Soviet Union. Sakharov's scientific achievements earned him significant acclaim, including the Lenin Prize in 1966.
The Gamburtsev Mountain Range, often referred to as the Gamburtsev Mountains or Grigory Gamburtsev, is an ancient mountain range located in East Antarctica. It was named after the Russian geophysicist Grigory Gamburtsev. The range was discovered in the 1950s during a Soviet expedition, but it remains largely hidden beneath the Antarctic ice sheet.
The Xuong tree, known scientifically as *Baccaurea motleyana*, is a tropical fruit tree native to Southeast Asia. It is commonly found in countries like Malaysia, Indonesia, Thailand, and the Philippines. The tree belongs to the family Euphorbiaceae and is often referred to as "langsat" in some regions. The Xuong tree typically produces small, round or oval fruits that are yellowish or greenish when ripe and have a sweet, juicy flesh.
Visual spatial attention refers to the cognitive process by which we selectively focus on specific locations or objects in our visual field to enhance perception and processing of relevant visual stimuli while ignoring others. This form of attention is crucial for effectively navigating and interacting with our environment, allowing us to prioritize important information and improve our ability to respond to it.
In the context of mathematics, particularly in functional analysis and the study of operators, a **discrete spectrum** refers to a specific type of spectrum associated with a linear operator, often in the framework of Hilbert spaces or Banach spaces. ### 1.
The term "Toronto function" does not refer to a well-known concept or standard term in mathematics, computer science, or any other widely recognized field up to my last knowledge update in October 2023. It is possible that it could refer to something specific within a niche context or a recent development that has emerged since then.
The Chromatic Spectral Sequence is a tool in stable homotopy theory, particularly in the study of stable homotopy groups of spheres and related objects. It is mainly concerned with the chromatic filtration, which categorizes stable homotopy groups based on their interactions with complex oriented theories, such as complex cobordism and various versions of K-theory.
Barbara H. Stuart may refer to a specific individual, but without additional context, it's difficult to provide accurate information. There may be multiple people with that name across various fields or professions. If you could provide more details about who Barbara H.
The Ozone Monitoring Instrument (OMI) is a satellite-based instrument designed to monitor the Earth's atmosphere, specifically focusing on ozone levels and other atmospheric constituents. It was launched aboard NASA's Aura satellite in July 2004. The primary objectives of OMI include: 1. **Ozone Monitoring**: OMI measures both tropospheric and stratospheric ozone levels, providing valuable data to understand the distribution and changes in atmospheric ozone, which is crucial for both environmental health and climate studies.
Ahmed Zewail was an Egyptian-American scientist, known for his pioneering work in the field of femtochemistry, which involves the study of chemical reactions on extremely short timescales, typically in the femtosecond range (one quadrillionth of a second). Born on February 26, 1946, in Damanhur, Egypt, Zewail received his undergraduate degree from Alexandria University and later obtained his Ph.D. from the University of Pennsylvania in 1974.
Rudolf Mössbauer was a German physicist best known for the discovery of the Mössbauer effect, a physical phenomenon involving the recoil-free emission and absorption of gamma rays by atomic nuclei. This effect, which he discovered in 1958, allows for extremely precise measurements of nuclear energy levels and has important applications in various fields, including physics, chemistry, and biology.
A closed couplet is a pair of lines in poetry that typically rhyme and contain a complete thought or idea within them. Each line usually has a similar meter, and together they form a succinct, self-contained unit. Closed couplets often end with punctuation, indicating the conclusion of that thought. An example of a closed couplet can be found in the work of poets like Alexander Pope or in Shakespeare's sonnets.
Electron is an open-source framework that allows developers to build cross-platform desktop applications using web technologies such as HTML, CSS, and JavaScript. It was created by GitHub and is widely used for creating applications that run on Windows, macOS, and Linux. Electron combines Chromium (for rendering the web content) and Node.js (for back-end capabilities) into a single runtime, enabling developers to use web development skills to create feature-rich desktop applications.
A Lyapunov function is a mathematical construct used in the field of stability theory to analyze the stability of dynamic systems, particularly in the context of differential equations and control theory. It is a scalar function that helps in determining the stability of an equilibrium point of a dynamical system.
A multidimensional system is a framework or representation that includes multiple dimensions or variables to analyze, model, or interpret data, processes, or phenomena. The idea of "dimensions" can refer to different aspects or factors that are considered simultaneously to capture the complexity of a system. ### Examples of Multidimensional Systems: 1. **Data Analysis**: - In statistics and data science, a multidimensional system may involve analyzing datasets with several attributes (dimensions).
The term "décima" can refer to a couple of different concepts, depending on the context: 1. **Poetic Form**: In literature, a décima is a form of poetry that consists of ten lines (hence the name, from the Spanish word for "tenth"). It typically follows a specific rhyme scheme, often ABBAACCDDC. The décima is a traditional form in Spanish poetry and has its roots in the 16th century.
Shairi, or "shayari," is a form of poetic expression in South Asian literature, primarily in Urdu and Hindi. It often consists of couplets (distichs) and conveys emotions, thoughts, and experiences about love, beauty, sorrow, and life. Shayari can range from romantic and passionate to melancholic and reflective, often using metaphor and imagery to enhance the emotional impact.

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