CUDA, which stands for Compute Unified Device Architecture, is a parallel computing platform and application programming interface (API) created by NVIDIA. It allows developers to leverage the power of NVIDIA GPUs (graphics processing units) for general-purpose computing tasks, not just graphics rendering. CUDA provides a C/C++-like programming language and enables developers to write code that can be executed on the GPU, allowing for massive parallel processing capabilities.
The Ginzburg-Landau equation is a mathematical framework used in the field of condensed matter physics, particularly in the study of superconductivity and superfluidity. It arises from the Ginzburg-Landau theory, which was proposed by Vitaly Ginzburg and Lev Landau in the 1950s to describe phase transitions and the behavior of superconductors near the critical temperature.
Cultural depictions of Lewis Carroll, the pen name of Charles Lutwidge Dodgson, encompass a variety of representations in literature, film, art, and other media. Carroll is best known for his iconic works, particularly "Alice's Adventures in Wonderland" and its sequel "Through the Looking-Glass.
Curium(III) iodide is a chemical compound consisting of curium (Cm) and iodine (I), specifically in the +3 oxidation state of curium. Its chemical formula is typically written as CmI₃. Curium is a synthetic element with the atomic number 96 and is part of the actinide series. It is radioactive and is typically produced in nuclear reactors.
The Curry–Howard correspondence is a deep and significant relationship between logic and computational theory, particularly between formal proofs in logic and programs in computer science. It fundamentally establishes a direct connection between: 1. **Logical Systems**: Types in programming languages correspond to propositions (statements that can be true or false) in logic. 2. **Programs**: Terms (or expressions) in programming languages correspond to proofs in logical systems.
"Curvature of Space and Time" refers to the way that the geometry of the universe is influenced by the presence of mass and energy, as described by Einstein's theory of General Relativity. In this framework, space and time are interwoven into a four-dimensional continuum known as spacetime. The curvature of this spacetime is a fundamental concept, as it relates to the gravitational effects that we observe. ### Basic Concepts of Curvature 1.
Customer Service Assurance (CSA) refers to a set of practices, processes, and standards that organizations implement to ensure the quality and consistency of their customer service. It aims to improve customer satisfaction by providing reliable support and addressing customer needs effectively. CSA encompasses various elements, including: 1. **Quality Control**: Monitoring and evaluating customer service interactions to ensure that representatives adhere to company standards and policies.
The Cutthroat Flume is a notable feature in the context of hydrology and outdoor recreation. Specifically, it refers to a section of water flume or channel that is used for water management, often related to irrigation or recreational activities like kayaking or rafting. The term "cutthroat" may also refer to the cutthroat trout, a species of fish native to North America, which is sometimes found in areas serviced by flumes.
Cybercrime in the United Kingdom refers to criminal activities that involve computers or computer networks and can encompass a wide range of illegal activities. These crimes can be perpetrated against individuals, businesses, or governmental entities and can result in significant financial losses, data breaches, and privacy violations. The scope of cybercrime includes, but is not limited to: 1. **Hacking**: Unauthorized access to computer systems and networks, often to steal, alter, or destroy data.
Quantum random circuits are a concept in quantum computing that involves the construction and analysis of quantum circuits designed to exhibit random behavior. These circuits consist of a sequence of quantum gates applied to qubits, where the choice of gates can be made randomly or according to a specific probabilistic distribution. The random nature of these circuits plays a significant role in various areas of research in quantum information science, including quantum algorithms, quantum complexity theory, and quantum error correction.
In graph theory, a **bramble** is a concept used to describe a certain type of structure in a graph related to covering and dominating sets. Specifically, a bramble is a collection of subsets of vertices that captures the idea of a "tangled" set of vertices that cannot be separated from each other without removing some edges from the graph.
In graph theory, the term "intersection number" can refer to different concepts depending on the context. However, it is most commonly associated with two specific usages: 1. **Intersection Number of a Graph**: This is the minimum number of intersections in a planar drawing of a graph. A graph is drawn in the plane such that its edges do not intersect except at their endpoints. The intersection number can be an important characteristic when studying the embedding of graphs on surfaces or in understanding their topological properties.
In graph theory, a periodic graph typically refers to a graph that exhibits a certain kind of regularity or repetition in its structure. Although "periodic graph" is not a standard term with a universally accepted definition, it often relates to graphs that have a periodicity in their vertex arrangement or edge connections. For example, a periodic graph can be understood in the context of cellular structures or tessellations, where the graph is invariant under specific transformations, such as translations, rotations, or reflections.
A sparsity matroid is a specific type of combinatorial structure that arises in the study of graphs and optimization, particularly in the context of network flows, cuts, and efficient algorithms for various combinatorial problems.
Halin's Grid Theorem is a result in graph theory that describes the structure of certain infinite graphs. Specifically, it focuses on a type of infinite graph known as a "grid" graph, which is a graph that resembles a two-dimensional grid or lattice. Halin's theorem provides conditions under which such infinite grid graphs can be embedded into three-dimensional space without crossings.
The disjoint union of graphs is a concept in graph theory that combines two or more graphs into a new graph in such a way that the original graphs do not share any vertices or edges. Here's how it works: 1. **Graphs Involved**: Suppose you have two or more graphs \( G_1, G_2, \ldots, G_n \).
The Goldberg–Coxeter construction is a method used in geometry, particularly in the study of polyhedra and polyhedral structures. It provides a systematic way to generate a class of convex polyhedra, particularly those that can be described as geometric realizations of certain types of combinatorial structures known as "spherical polyhedra.
"Internet Plus" is a concept that originates from China, introduced by the Chinese government in 2015. It refers to the integration of the Internet with various sectors of the economy and society to foster innovation and enhance efficiency. The idea behind Internet Plus is to leverage the capabilities of the Internet — such as data connectivity, big data, cloud computing, and mobile technologies — to improve traditional industries and stimulate new modes of production and consumption.
An **eternal dominating set** is a concept from graph theory, particularly in the study of domination in graphs. The idea revolves around the ability to monitor or control the vertices of a graph over time, adapting to changes such as the removal of vertices.

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