The **interval chromatic number** of an ordered graph, often denoted as \( \chi_{\text{I}}(G) \), is a graph invariant that represents the minimum number of intervals on the real line needed to represent the vertices of the graph in such a way that there is an edge between two vertices if and only if their corresponding intervals intersect.
A **word-representable graph** is a type of graph that can be represented using words in such a way that the vertices of the graph correspond to distinct letters in a set of words, and an edge exists between two vertices if and only if the corresponding letters appear together in at least one of the words.
A "map graph" typically refers to a graphical representation of geographical data where features, relationships, or various types of information are represented on a map. This term is often used in different contexts, including: 1. **Geographic Information Systems (GIS)**: Map graphs in GIS display spatial data, allowing users to visualize and analyze geographical relationships. These maps can represent various data types, like population density, weather patterns, or resource distribution.
In graph theory, an **overfull graph** typically refers to a graph that exceeds certain constraints, most commonly in the context of the vertex degrees or edge counts relative to some theoretical upper bound. The exact definition can vary based on the specific situation or properties being studied.
The Cartesian product of two graphs \( G_1 = (V_1, E_1) \) and \( G_2 = (V_2, E_2) \) is a graph constructed by combining the vertices of the two graphs in a specific way.
Cynthia Wyels is not a widely recognized public figure or concept as of my last knowledge update in October 2023. It's possible that she could be a private individual, a professional in a specific field, or a name that has gained relevance after that date.
Nicolaas Govert de Bruijn was a Dutch mathematician, known for his contributions to various fields in mathematics, particularly in combinatorics, graph theory, and number theory. He was born on April 3, 1918, and passed away on December 17, 2012.
David Wood is a mathematician known for his work in the fields of combinatorial geometry, discrete mathematics, and convex analysis. He has made significant contributions to areas such as graph theory, random structures, and geometric combinatorics. Wood has also been involved in research related to tiling problems, packing, and covering problems in geometric contexts. In addition to his research work, David Wood has been active in teaching and mentoring students in mathematics.
Deryk Osthus is a prominent figure known for his role as a developer and maintainer of the "Cobweb" platform, a computer program used for automating various processes and tasks, particularly in the realm of web automation and data extraction. Osthus has gained recognition in the tech community for his contributions to open source projects and for his expertise in software development.
Michel Deza is a mathematician known for his contributions to various fields, particularly in discrete mathematics, combinatorial optimization, and operations research. He has co-authored several research papers and is recognized for his work on subjects such as graph theory and algorithms.
Ermelinda DeLaViña does not appear to be a widely recognized or notable figure in public knowledge as of my last update in October 2023. It's possible that she could be a private individual, a character in a story, or a lesser-known personality in a specific field.
Gerhard Ringel (1924–2017) was an accomplished Austrian mathematician known primarily for his contributions to topology and combinatorial mathematics. He is particularly noted for his work in the field of graph theory and has made significant contributions to the study of maps on surfaces, as well as the development of concepts related to the colorability of graphs. Ringel is also recognized for the Ringel-Youngs theorem and had collaborations that further enriched the field of mathematical research.
Hansjoachim Walther is a German mathematician known for his contributions to various areas of mathematics, particularly in functional analysis and differential equations. His work often focuses on the theoretical aspects of these fields.
Irene Sciriha is a prominent Maltese academic and researcher known for her work in the fields of education and technology. She has held various academic positions and has contributed to the development of educational programs and policies in Malta and beyond. Her research often focuses on topics related to educational technology, digital learning, and innovative teaching methods.
Jeanette McLeod does not appear to be a widely recognized figure based on the information available up to October 2023. It's possible she could be a private individual, a lesser-known artist, academic, or a character in a story, but without more context, it's difficult to provide detailed information.
As of my last update, Kristina Vušković does not appear to be a widely recognized public figure, celebrity, or topic in mainstream discussions. If she has gained prominence or relevance after October 2023, I wouldn't have that information.
Bloch space, often denoted as \( \mathcal{B} \), is a functional space that arises in complex analysis, particularly in the study of holomorphic functions defined on the unit disk. It is named after the mathematician Franz Bloch.
The Kramers–Kronig relations are a set of equations in the field of complex analysis and are widely used in physics, particularly in optics and electrical engineering. They provide a mathematical relationship between the real and imaginary parts of a complex function that is analytic in the upper half-plane.
Infinite compositions of analytic functions refer to the repeated application of a function while allowing for an infinite number of iterations. Given a sequence of analytic functions \( f_1, f_2, f_3, \ldots \), one considers the composition: \[ f(z) = f_1(f_2(f_3(\ldots f_n(z) \ldots))) \] In the case of infinite compositions, we extend this idea to an infinite number of 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