Martin Zirnbauer is a physicist known for his contributions to the fields of condensed matter physics and quantum mechanics, particularly in relation to statistical mechanics and the theory of disordered systems. He has worked extensively on topics such as random matrices, quantum chaos, topological phases of matter, and symmetry classes in quantum systems. His research often involves the mathematical formulation of physical theories and the classification of different types of quantum states.
Rupert Huber is a physicist known for his work in the field of experimental condensed matter physics, particularly in the study of electronic and optical properties of materials at the nanoscale. He has made significant contributions to the understanding of ultrafast phenomena in solid-state systems, often utilizing advanced techniques such as time-resolved spectroscopy.
Wolfgang Krätschmer is a German chemist known primarily for his work in the field of nanotechnology and materials science. He is particularly renowned for his contributions to the synthesis and characterization of endohedral fullerenes, which are molecules formed by enclosing atoms or clusters within fullerene cages. Krätschmer is also recognized for his role in developing methods to create and analyze these unique materials, which have potential applications in various fields, including electronics, medicine, and materials science.
Cassini Regio is a large, dark region on the surface of the moon Titan, which is a natural satellite of Saturn. Named after the Italian-French astronomer Giovanni Domenico Cassini, this area is characterized by its unique, hydrocarbon-rich composition and is part of Titan's complex and fascinating landscape.
Dichroic glass is a type of glass that exhibits different colors when viewed from different angles. This optical phenomenon is the result of the glass being coated with thin layers of metal oxides or other materials, which create interference effects. When light strikes the surface, certain wavelengths are reflected while others are transmitted, resulting in a striking visual effect.
The shading coefficient (SC) is a measure used in the field of building design and HVAC (heating, ventilation, and air conditioning) engineering to assess the effectiveness of shading devices in reducing solar heat gain through windows and other glazed areas. It is a ratio that compares the solar heat gain through a window or a glazed area with and without shading devices to the solar heat gain through a standard reference window under the same conditions.
The strength of glass refers to its ability to withstand external forces without breaking or deforming. It is an important property of glass and can be characterized in several ways, including: 1. **Tensile Strength**: This is the maximum amount of tensile (pulling or stretching) stress that glass can withstand before failing. Glass typically has high compressive strength but relatively low tensile strength, making it more susceptible to breakage under tension.
A **k-edge-connected graph** is a type of graph in which there are at least \( k \) edges that need to be removed in order to disconnect the graph, meaning that no matter how the edges are removed, there will always be at least \( k \) edges remaining that maintain connectivity between pairs of vertices.
The Resource Description Framework (RDF) is a framework developed by the World Wide Web Consortium (W3C) for representing information about resources in the web. It is primarily used for knowledge representation and is a key technology for the Semantic Web, which aims to make data on the internet more understandable and useful for machines. ### Key Concepts of RDF: 1. **Triple Structure**: RDF uses a simple triple structure to represent information.
Mulgara is an open-source software platform designed for storing and querying large datasets, particularly those that are structured as RDF (Resource Description Framework) graphs. It is particularly useful for applications that involve semantic web technologies and linked data. Some of the key features of Mulgara include: 1. **RDF Storage**: Mulgara provides a powerful storage system for RDF data, allowing users to store large amounts of information in a structured format.
Graph Modelling Language (GML) is a descriptive language used for representing graphs in a structured format. It provides a way to specify the properties of nodes (vertices) and edges (connections) in a graph. GML is particularly useful for exchanging graph data between different applications and tools, as it offers a standardized way to describe various attributes and relationships. ### Key Features of GML: 1. **Hierarchical Structure**: GML uses a simple, hierarchical structure that can represent complex graphs.
"Entropy" is a peer-reviewed scientific journal that publishes research on various aspects of entropy and information theory. It covers topics such as thermodynamics, statistical mechanics, information theory, and complex systems, among others. The journal aims to provide a platform for interdisciplinary research that explores the concept of entropy in different contexts, including physics, mathematics, computer science, and information sciences.
PGF/TikZ is a powerful package used in LaTeX for creating graphics programmatically. - **PGF**: Stands for "Portable Graphics Format." It serves as a backend for producing graphics and includes functionality for creating figures and diagrams in a way that is highly customizable. PGF is essentially a lower-level interface. - **TikZ**: Stands for "TikZ ist kein Zeichenprogramm," which translates to "TikZ is not a drawing program.
Trivial Graph Format (TGF) is a simple text-based format used to represent graphs. It is designed to be easy to read and write, making it a suitable choice for basic graph data representation, particularly in contexts where simplicity is more important than complexity or efficiency. In TGF, a graph is represented using two sections: 1. **Node Section**: This section lists the nodes (or vertices) of the graph.
Oceanic dispersal refers to the process by which organisms, such as plants, animals, and microorganisms, spread across oceanic waters and may come to inhabit new areas or islands. This phenomenon can occur through various mechanisms, including: 1. **Currents**: Ocean currents can transport organisms across vast distances. For example, drifting plankton can be carried by currents from one region to another.
The Hadwiger number, denoted as \( H(G) \) for a graph \( G \), is a numerical graph invariant that represents the maximum number \( k \) such that the graph \( G \) can be colored with \( k \) colors without forming any monochromatic complete graph \( K_t \) for every \( t \leq k \).
Heuristic routing refers to a method used in network routing and computer science where heuristic techniques are employed to find efficient paths or solutions to routing problems. Heuristics are problem-solving strategies that use readily accessible, though often limited, information to generate good enough solutions to complex problems within a reasonable timeframe.
In the context of physics, particularly quantum mechanics, a "hidden variable" refers to an unobservable property or parameter that deterministically influences the outcomes of quantum measurements. The term is often associated with theories that attempt to explain the seemingly random behavior of quantum systems by positing that there are underlying factors we cannot measure or observe directly. In quantum mechanics, the outcomes of measurements are fundamentally probabilistic, as described by the wave function and governed by the principles of superposition and entanglement.
The Grzegorczyk hierarchy is a classification of functions based on their computability in the context of mathematical logic and computability theory. It provides a way to categorize certain classes of total recursive functions, which are functions that are defined for all natural numbers. The hierarchy is named after the Polish mathematician and logician Andrzej Grzegorczyk, who introduced it in the context of studying the structure of computable functions.

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