The Fibonacci sequence is a series of numbers where each number is the sum of the two preceding ones, usually starting with 0 and 1. The sequence goes as follows: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, ...
Interventional radiology (IR) is a medical specialty that uses minimally invasive image-guided procedures to diagnose and treat a variety of conditions. It combines advanced imaging techniques—such as X-rays, CT scans, ultrasound, and MRI—with therapeutic interventions. Key aspects of interventional radiology include: 1. **Minimally Invasive Techniques**: IR procedures often involve small incisions or no incisions at all.
Graph Edit Distance (GED) is a measure used to quantify the difference or similarity between two graphs. It is defined as the minimum cost required to transform one graph into another through a series of allowable edit operations. These operations typically include: 1. **Node Insertion**: Adding a new node to one graph. 2. **Node Deletion**: Removing a node from one graph. 3. **Edge Insertion**: Adding a new edge between two nodes in one graph.
The Greater Good Science Center (GGSC) is a research center at the University of California, Berkeley that focuses on the study of well-being, happiness, and the science of social connection. Established in 2001, the center aims to promote scientific research and disseminate information about the psychological, social, and emotional aspects of well-being to a wider audience. GGSC conducts and supports research in various areas, including gratitude, mindfulness, empathy, and resilience.
The Greedy algorithm for representing a fraction as an Egyptian fraction is a method that breaks down a given fraction into a sum of distinct unit fractions, where a unit fraction is a fraction of the form \( \frac{1}{n} \) for some positive integer \( n \). An Egyptian fraction is thus a sum of such fractions.
Gretchen McCulloch is a Canadian linguist and author known for her work in the field of internet linguistics, which examines how language is used in digital communication. She is particularly recognized for her book "Because Internet: Understanding the New Rules of Language," published in 2019, where she explores how the internet has influenced the evolution of language.
Groundwater pollution refers to the contamination of underground water sources, which can pose serious risks to both human health and the environment. Groundwater is an essential resource for drinking water, agriculture, and industrial processes, and it is often found in aquifers, which are underground layers of water-bearing rock or sediment.
The Hadwiger–Nelson problem is a question in the field of combinatorial geometry, particularly concerning the coloring of points in the Euclidean plane. It asks for the minimum number of colors needed to color the points of the plane such that no two points that are a unit distance apart (1 unit apart) share the same color.
Hamiltonian coloring is a concept in graph theory related to both Hamiltonian cycles and proper graph coloring. Specifically, a Hamiltonian coloring of a graph is a way of assigning colors to the vertices of a graph such that: 1. The graph contains a Hamiltonian cycle, which is a cycle that visits each vertex exactly once. 2. Adjacent vertices (those connected by an edge) in the Hamiltonian cycle must receive different colors.
Henk Tijms is a Dutch mathematician known for his work in operations research, probability theory, and statistics. He has published several books and papers in these fields. One of his notable contributions is the book "A First Course in Stochastic Models," which serves as a resource for students and professionals in understanding stochastic processes and their applications. Tijms has also been involved in teaching and academic research, making significant contributions to the mathematical community.
"Hidden states of matter" is not a standardized term in scientific literature, but it might refer to theoretical states or phases of matter that are not easily observable or understood using conventional methods. It could also imply states that may exist under extreme conditions, beyond the typical categories of solid, liquid, gas, and plasma.
The term "Highland carrier" can refer to a few different concepts, depending on the context. However, it's not a widely recognized term on its own. Here are a few possibilities: 1. **Geographical Context**: In some contexts, a "Highland carrier" could refer to a transport service that operates in highland or mountainous areas, transporting goods or people through rugged terrains. This could include services such as buses, trucks, or even cable cars designed for these regions.
A High-Performance Positioning System (HPPS) typically refers to advanced positioning technologies that provide enhanced accuracy, reliability, and performance compared to standard Global Navigation Satellite Systems (GNSS). These systems are often used in applications that require precise location information, such as in autonomous vehicles, drones, agriculture, surveying, construction, and various scientific applications.
A homopolar generator, also known as a unipolar generator, is a type of electrical generator that produces direct current (DC) electricity. It operates on the principle of electromagnetic induction, but unlike conventional generators that rely on rotating magnetic fields, a homopolar generator uses a constant magnetic field and a rotating conductor.
Hot form quenching, often associated with metallurgical processes, usually refers to a method used in the heat treatment of metals, particularly in the manufacturing of high-performance components. This process typically involves heating the metal to a specific temperature and maintaining that temperature for a set period, followed by rapid cooling or quenching. Here’s a breakdown of the process: 1. **Heating**: The metal is heated to a temperature where it becomes malleable (or allows for phase transformations).
The Hybrid Input-Output (HIO) algorithm is a computational approach often used in the context of optimization problems, particularly in the field of signal processing, image reconstruction, and iterative algorithms for phase retrieval. While the term "Hybrid Input-Output" may be used in various contexts, it is frequently associated with methods that combine different iterative techniques (input-output algorithms) to achieve improved convergence properties or performance in solving specific problems.
The Hyperloop Pod Competition is a innovation competition designed to accelerate the development of a new mode of transportation known as the Hyperloop. This concept, popularized by Elon Musk in 2013, involves passenger pods traveling through low-pressure tubes at high speeds, promising rapid and efficient transportation. Organized by various institutions, including the SpaceX Hyperloop Pod Competition, the event invites university teams and other participants to design and build prototypes of Hyperloop pods.
In mathematical optimization and differential geometry, the **tangent cone** at a point \( x_0 \) of a set \( C \) is a concept that describes the directions in which one can move from that point while remaining within the set. It is particularly useful in the study of convex analysis, nonsmooth analysis, and variational analysis.
Informatization refers to the process of transforming information and knowledge into digital formats and making that information more accessible, usable, and manageable through the application of information technologies. It encompasses the integration of information technology into various sectors, including government, education, industry, and daily life, to enhance efficiency, productivity, and decision-making. Key aspects of informatization include: 1. **Digital Transformation**: The shift from traditional processes to digital ones, enabling organizations to operate more efficiently and respond quickly to changes.
Imre Csiszár is a prominent Hungarian mathematician known for his work in information theory, statistics, and related fields. He has made significant contributions to the development of various concepts and theorems in information theory, including results involving information measures, coding theory, and statistical hypothesis testing. Csiszár is also recognized for his work on the Csiszár divergence (or information divergence), a concept that generalizes the notion of distance between probability distributions.

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