Wilfried Imrich does not appear to be a widely recognized public figure, event, or term as of my last knowledge update in October 2023. It’s possible that he is a private individual, or perhaps he has gained prominence after that date.
Vasanti N. Bhat-Nayak is a prominent figure in the field of health care, particularly known for her contributions to research and policy related to health systems and public health. She has been involved in various initiatives aimed at improving health care delivery and access, with a focus on underserved populations.
The Fransén–Robinson constant, denoted by \( F \), is a mathematical constant that arises in the study of continued fractions and nested radicals. It is defined specifically in the context of the formula for the square root of a certain expression involving the golden ratio.
The Hesse configuration is a specific geometric arrangement in projective geometry, particularly concerning the configuration of points and lines in a projective plane. It consists of a set of points and lines where certain incidence properties hold. In the case of the classical Hesse configuration: - It includes 9 points and 9 lines. - Each point lies on exactly 3 lines, and each line contains exactly 3 points.
Reye configuration refers to a specific arrangement or organization of items or elements, but it seems like there may be a misunderstanding, as "Reye configuration" is not a widely recognized term in scientific literature or common contexts.
Interacting galaxies refer to galaxies that are in the process of a gravitational interaction with one another. This interaction can range from close approaches to collisions and mergers, and it often leads to significant changes in the physical structures, star formation rates, and dynamics of the involved galaxies. Interacting galaxies can display various features, such as: 1. **Tidal Tails**: Long streams of stars and gas are pulled out from the galaxies due to gravitational forces, creating elongated structures.
The Weierstrass function is a famous example of a continuous function that is nowhere differentiable. It serves as a significant illustration in real analysis and illustrates properties of functions that may be surprisingly counterintuitive.
The Four Color Theorem is a famous result in mathematics and graph theory stating that, given any arrangement of regions on a plane (such as a map), four colors are sufficient to color the regions such that no two adjacent regions share the same color. Adjacent regions are those that share a common boundary, not just a point. The theorem was first proposed in 1852 by Francis Guthrie and was proven in 1976 by Kenneth Appel and Wolfgang Haken.
As of my last knowledge update in October 2021, the head coach of the NYIT (New York Institute of Technology) Bears men's basketball team was **Christian D. G. Z. J. Meyer**, who took over the program in 2019.
Hedetniemi's conjecture is a hypothesis in graph theory, proposed by the mathematician Stephen Hedetniemi in 1966. The conjecture pertains to the relationship between the chromatic numbers of the product of two graphs and the individual graphs themselves.
L(2,1)-coloring is a specific type of graph coloring in the field of graph theory. It is a constraint on how vertices in a graph can be colored based on the distances between them. Specifically, a graph is said to be L(2,1)-colorable if it is possible to assign colors to its vertices such that: 1. If two vertices are adjacent (connected by an edge), they must receive different colors.
The Precoloring Extension is a concept in graph theory related to graph coloring problems. It deals with the scenario where certain vertices of a graph are already colored (i.e., assigned a color) before the coloring process begins. This is essential in many applications, including scheduling, map coloring, and frequency assignment, where certain constraints limit how vertices (or regions) can be colored.
The Symmetric Hypergraph Theorem is a result in the field of combinatorics, particularly in the study of hypergraphs. A hypergraph is a generalization of a graph where an edge (called a hyperedge) can connect any number of vertices, not just two. The theorem itself often pertains to specific properties of hypergraphs that exhibit a certain type of symmetry, particularly focusing on the existence of particular structures within these hypergraphs.
Induced matching is a concept used primarily in the fields of psychiatry and social sciences, particularly in the context of observational studies and nonrandomized trials. The idea behind induced matching is to reduce bias in estimates of treatment effects by matching subjects in a way that accounts for certain covariates that could influence both treatment assignment and outcomes. In induced matching, subjects who receive a particular treatment are matched with subjects who do not, on the basis of observable characteristics.
Rank-maximal allocation is a concept that arises in the context of resource allocation problems, particularly in matching markets and auctions. The idea is to allocate resources (such as goods or services) to agents (such as individuals or organizations) in a way that maximizes the rank of the allocated outcomes according to each agent's preferences. In simpler terms, rank-maximal allocation attempts to ensure that each agent receives an allocation that is as high as possible on their personal preference list.
The Ruzsa–Szemerédi problem is a question in the field of combinatorial number theory, particularly concerning sets of integers and their structure. It was posed by Hungarian mathematicians Imre Ruzsa and Endre Szemerédi. The problem revolves around the concept of progressions in subsets of integers. Specifically, it asks how large a subset of integers can be if it avoids certain arithmetic progressions of a given length.
The Top Trading Cycle (TTC) is a notable algorithm used in the field of resource allocation and matching theory. It was primarily developed by economists to allocate resources or items efficiently among a group of agents based on their preferences. The basic idea of the Top Trading Cycle algorithm is as follows: 1. **Initial Setup**: Each participant (agent) has a list of preferences, indicating which items they would like to receive.
"Computing the Continuous Discretely" is a phrase commonly associated with the work and ideas of mathematician and computer scientist Steven Strogatz, particularly in the context of dynamical systems and complex systems. It highlights the interplay between continuous and discrete systems, illustrating how phenomena that are inherently continuous can be modeled, analyzed, or approximated using discrete computational methods.
Euclid's orchard is a mathematical concept that relates to the study of geometric configurations and properties, particularly in the context of number theory and combinatorial geometry. The term is not widely used in all mathematical contexts, but it can refer to a specific arrangement of points in a Euclidean space or an exploration of how to organize or distribute points according to certain rules or properties.
The Poisson summation formula is a powerful and essential result in analytic number theory and Fourier analysis, connecting sums of a function at integer points to sums of its Fourier transform. Specifically, it relates a sum over a lattice (for example, the integers) to a sum over the dual lattice.

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