Vadim Kuzmin is a physicist known for his work in the field of condensed matter physics and for his contributions to the study of superconductivity and quantum phenomena. He has conducted research on topics such as quantum phase transitions and topological phases in condensed matter systems. Kuzmin has published numerous scientific papers and may be associated with various academic institutions or research organizations.
Vladimir Kadyshevsky does not appear to be a widely recognized or notable figure in public knowledge as of my last update. It's possible he could be a private individual or a person who gained notoriety after my last knowledge update.
Otto Heckmann (1910–2009) was a notable German astrophysicist, known primarily for his contributions to the fields of cosmic ray research and the dynamics of stellar systems. He made significant advancements in understanding the structure and evolution of stars and their interactions within galaxies. Heckmann was also involved in the development of various scientific theories and models that contributed to the broader understanding of astrophysics.
"Helix" can refer to several things depending on the context. Here are a few common uses of the term: 1. **Biology**: In biology, a helix is a three-dimensional shape that resembles a spiral. The most well-known example is the double helix structure of DNA, which describes how the two strands of DNA wind around each other.
János Bolyai (1802–1860) was a Hungarian mathematician known for his foundational work in non-Euclidean geometry. He is best known for developing the principles of hyperbolic geometry independently of the Russian mathematician Nikolai Lobachevsky. Bolyai's work demonstrated that it is possible to construct a consistent geometric system in which the parallel postulate of Euclidean geometry does not hold.
Qāḍī Zāda al-Rūmī, also known simply as Qāḍī Zāda, was a notable figure in the realm of Islamic scholarship and science during the late medieval period, specifically in the 15th century. He was born in 1364 in the city of Edirne (Adrianople) in present-day Turkey and is esteemed for his contributions to mathematics, astronomy, and various Islamic sciences.
Momentum is a concept used in both physics and finance. ### In Physics: Momentum refers to the quantity of motion of a moving body and is calculated as the product of an object's mass and its velocity. The formula for linear momentum (\(p\)) is: \[ p = mv \] where: - \(p\) is momentum, - \(m\) is mass, and - \(v\) is velocity.
A **triangle-free graph** is a type of graph that does not contain any cycles of length three, which means it does not have any set of three vertices that are mutually connected by edges. In other words, if you pick any three vertices in the graph, at least one pair of those vertices will not be directly connected by an edge. Triangle-free graphs can be characterized using graph theory, and they have significant implications in various areas, including combinatorics, algorithm design, and social networks.
Operator algebras is a branch of functional analysis and mathematics that studies algebras of bounded linear operators on a Hilbert space. These algebras are typically closed in a specific topology (usually the operator norm topology or the weak operator topology), which makes them particularly amenable to the tools of functional analysis, topology, and representation theory.
In functional analysis and related fields of mathematics, a **complemented subspace** is a type of subspace of a vector space that has a certain structure with respect to the entire space. More specifically, consider a vector space \( V \) and a subspace \( W \subseteq V \).
A **Hadamard space** is a specific type of metric space that generalizes the concept of non-positive curvature. More formally, a Hadamard space is a complete metric space where any two points can be connected by a geodesic, and all triangles in the space are "thin" in a sense that closely resembles the behavior of triangles in hyperbolic geometry.
In functional analysis and topology, the study of topologies on spaces of linear maps is an important area that deals with how we can define and understand convergence and continuity of linear functions in various contexts.
In measure theory and probability, a distribution function (sometimes called a cumulative distribution function, or CDF) is a function that describes the probability distribution of a random variable.
"Measuring the World" is a historical novel written by the German author Daniel Kehlmann, first published in 2005. The book tells the story of two prominent figures from the Age of Enlightenment: the Prussian mathematician and geodesist Carl Friedrich Gauss and the naturalist Alexander von Humboldt. The narrative intertwines their lives and work in the late 18th and early 19th centuries, focusing on their respective quests to measure and understand the world around them.
Skewb is a type of twisty puzzle that is similar to a Rubik's Cube but has a distinctive mechanism and a unique way of being solved. Instead of rotating layers like the classic 3x3 cube, the Skewb rotates around its corners, with the rotational axes located at the corners of the cube. The Skewb puzzle is generally shaped like a cube, but it can be scrambled and solved by turning the corners, which creates a different kind of challenge.
Z-Wave is a wireless communication protocol designed for home automation and smart home devices. It operates on a low-energy, low-frequency radio signal, making it well-suited for control and monitoring applications in residential environments. Here are some key features and characteristics of Z-Wave: 1. **Mesh Networking**: Z-Wave devices form a mesh network, where each device can communicate with others within range. This allows for extended coverage and improved reliability, as signals can hop from one device to another.
Double-negation translation is a concept primarily associated with the field of logic and philosophy, particularly in relation to the principles of translation between different logical systems or languages. It often comes into play when discussing how to interpret and translate statements, particularly those involving negation, across systems that might have different rules or structures. In simple terms, double-negation translation refers to the process of translating a negation (not P) in a way that uses two negations to clarify or preserve meaning.
"Logical Investigations" is a seminal work by the German philosopher Edmund Husserl, first published in 1900 and later expanded in 1913. It is considered one of the foundational texts of phenomenology, which Husserl developed as a philosophical method aimed at studying consciousness and the structures of experience. The work is divided into two parts.
The term "Sum of Logic" could refer to a few different concepts depending on the context, as it's not a widely recognized term in philosophy or mathematics by itself. Here are a few interpretations: 1. **Logical Operations**: In logic, particularly Boolean algebra, "sum" can refer to the logical OR operation. The "sum" of logical values (true or false) can be understood in terms of combining conditions where at least one condition being true results in a true outcome.

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