The Stream X-Machine is a theoretical concept in computer science and automata theory. It's a variant of finite state machines (FSMs) that processes input streams rather than discrete inputs. The primary aim of the Stream X-Machine is to model and analyze computations that are inherently sequential and continuous, particularly in the context of real-time applications.
Riemannian geometry is a branch of differential geometry that studies Riemannian manifolds, which are smooth manifolds equipped with a Riemannian metric. This allows the measurement of geometric notions such as angles, distances, and volumes in a way that generalizes the familiar concepts of Euclidean geometry.
The double tangent bundle is a mathematical construction in differential geometry that generalizes the notion of tangent bundles. To understand the double tangent bundle, we first need to comprehend what a tangent bundle is. ### Tangent Bundle For a smooth manifold \( M \), the tangent bundle \( TM \) is a vector bundle that consists of all tangent vectors at every point on the manifold.
TED is a global conference series that focuses on spreading ideas through short, powerful talks. The name TED stands for Technology, Entertainment, and Design, which were the original focus areas of the conference when it began in 1984. Since then, TED has expanded to cover a wide range of topics, including science, business, global issues, education, and personal development.
Brobdingnag is a fictional land featured in Jonathan Swift's satirical novel "Gulliver's Travels," published in 1726. In the story, Brobdingnag is the homeland of giants, where everything is significantly larger than in the real world. The protagonist, Lemuel Gulliver, visits Brobdingnag after leaving Lilliput, a land inhabited by tiny people.
Władysław Matwin is not widely recognized in general public discourse, so it is possible that he may refer to a lesser-known individual in a specific context, such as a local figure, a professional in a specialized field, or even a fictional character.
The 17th century was a significant period for mathematics in Portugal, marked by contributions from several notable mathematicians. One of the most prominent figures of the time was **Pedro Nunes** (1502–1578), who, although his most influential work predates the 17th century, laid foundational ideas that were important for the development of navigation and mathematics in Portugal.
Osip Somov is primarily known as a Russian and Soviet botanist and plant geographer, who made significant contributions to the understanding of plant distribution and vegetation types, particularly in the context of the Soviet Union's diverse ecosystems. His work often involved studying the relationships between plants and their environments, which has implications for ecology, conservation, and botany.
Sergei Stepanov is a Russian mathematician known primarily for his work in the field of mathematics and computer science. His research has included contributions to areas such as graph theory, algorithm design, and combinatorial optimization. He has been involved in various mathematical projects and has published scholarly articles that explore complex mathematical concepts and their applications.
Vyacheslav Feodoritov is not a widely recognized figure in mainstream media or academic literature as of my last update in October 2023. If you're referring to a specific individual, it’s possible that he may be known in a particular niche, field, or region. Without additional context, it's difficult to provide accurate information.
Yury Yershov is a name that might refer to different individuals, but without additional context, it is challenging to provide a specific answer.
The Maurer–Cartan form is a fundamental concept in the theory of Lie groups and differential geometry, particularly in the study of Lie group representations and the geometry of principal bundles. Given a Lie group \( G \), the Maurer–Cartan form is a differential 1-form on the Lie group that captures information about the group structure in terms of its tangent space.
The Kervaire invariant is a concept in algebraic topology, specifically in the study of bordism theory and the classification of high-dimensional manifolds. It is named after the mathematician Michel Kervaire, who introduced it in the context of differentiable manifolds. More formally, the Kervaire invariant is a specific invariant associated with a smooth manifold, particularly focusing on the topology of the manifold's tangent bundle.
Static spacetime is a concept in general relativity that refers to a type of spacetime geometry that is both time-independent (static) and has a specific symmetry. More formally, a static spacetime is one where the gravitational field does not change over time and exhibits certain symmetries, particularly time translation symmetry and spatial symmetry. Key characteristics of static spacetimes include: 1. **Time Independence**: The metric tensor, which describes the geometry of spacetime, does not vary with time.
As of my last knowledge update in October 2021, Thomas Timusk is a prominent physicist known for his contributions to the field of condensed matter physics. He has worked on topics such as superconductivity, magnetism, and other critical phenomena in materials. His research has often focused on the use of experimental techniques to study the properties of materials at low temperatures.
W. G. Unruh is a prominent theoretical physicist known for his work in several areas of physics, including general relativity, quantum field theory, and cosmology. One of his most significant contributions is the formulation of what is now known as the Unruh effect. This phenomenon predicts that an observer accelerating through a vacuum will observe thermal radiation (akin to blackbody radiation), even though an inertial observer in that same vacuum would perceive it as empty space.
Russell W. Porter was an American astronomer and a significant figure in the field of optics and telescope design, particularly known for his pioneering work in amateur astronomy. He is best known for his contributions to the design and construction of high-quality telescopes, particularly the "Porter Garden Telescope," which served as a model for many amateur telescopes in the 20th century.
Vladilen Minin is not a widely recognized figure, concept, or term within the public domain as of my last knowledge update in October 2023. It's possible that he could be a private individual, a local figure, or a recent development that hasn’t gained broad recognition.
Javier Solana is a Spanish politician and diplomat who is well-known for his roles in international relations and diplomacy, especially within European and NATO contexts. Born on July 14, 1942, in Madrid, Spain, he has had a distinguished career in various capacities. Solana served as the Secretary-General of NATO from 1995 to 1999, where he was the first person to hold this position after the organization's restructuring following the end of the Cold War.

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