A Wiener connector, or Wiener filtering, is a statistical technique used in signal processing and various fields such as telecommunications, image processing, and control systems. It is designed to optimally filter a noisy signal to recover the original signal. The basic idea is to minimize the mean square error between the estimated signal and the true signal. The Wiener filter operates in the frequency domain and is particularly effective when the noise properties are known and the signal is stationary.
A monochromatic triangle is a term commonly used in the context of combinatorics and Ramsey theory. It refers to a triangle formed by points that are all the same color within a given coloring of a set of points. For instance, if you have a set of points in a plane, you might color each point either red or blue. A monochromatic triangle would be a triangle whose vertices are all points of the same color, either all red or all blue.
A **cactus graph** is a special type of graph in graph theory with a specific structural property. A cactus graph is defined as a connected graph in which any two cycles have at most one vertex in common. In simpler terms, while a cactus can have multiple cycles, these cycles cannot intersect in more than one vertex, meaning that their intersections (if any) do not create complex overlapping structures.
As of my last knowledge update in October 2021, Amanda Chetwynd is not a widely recognized public figure, and there may not be significant publicly available information about her. It's possible that she could be a private individual or a professional in a specific field that has not gained widespread recognition.
Arthur Hobbs is a mathematician known for his work in the field of mathematics, particularly in areas related to analysis and topology. However, there might not be extensive widely available information on his specific contributions or biography, as he may not be as widely recognized as some other figures in the field.
Shimon Even is a prominent Israeli computer scientist, best known for his contributions to the fields of computer science, particularly in the areas of algorithms, graph theory, and computational complexity. He has co-authored several important papers and has made significant contributions to the development of theoretical computer science. One of his notable achievements is the Even–Shimonovitch theorem in graph theory. Additionally, he is known for his work in distributed computing and has contributed to the study of parallel algorithms.
Jan Kratochvíl is not widely known in popular culture or significant historical events; rather, the name might refer to various individuals in fields such as sports, academia, or other professions, particularly in regions like the Czech Republic.
Jeannette Janssen does not seem to be a widely recognized name in common knowledge or popular culture as of my last update in October 2021. It's possible that she may be a private individual, a professional in a specific field, or perhaps someone who has gained prominence after that date.
Kôdi Husimi (or Kōdi Husimi) refers to a mathematical concept in statistical mechanics related to the treatment of quantum systems, particularly in the context of phase-space formulation. The Husimi function is a type of quasi-probability distribution used to represent quantum states in phase space, providing a way to visualize and analyze quantum phenomena in an analogous manner to classical probability distributions.
Alpha decay is a type of radioactive decay in which an unstable atomic nucleus releases an alpha particle and transforms into a lighter nucleus. An alpha particle consists of two protons and two neutrons, essentially making it identical to a helium nucleus. During alpha decay, the original nucleus (parent nucleus) loses these two protons and two neutrons, causing the atomic number to decrease by 2 and the mass number to decrease by 4.
Pierre Rosenstiehl is a French mathematician known for his work in various areas of mathematics, including combinatorics and graph theory. He is particularly noted for his contributions to the study of discrete mathematics and applied mathematical fields. Rosenstiehl has also been involved in pedagogy and has made efforts to promote mathematics education.
Cyparissos Stephanos, often referred to simply as Cyparissos, is a historic Greek state located in the northern part of the Peloponnese, specifically in ancient Arcadia. The name "Cyparissos" is also associated with a figure from Greek mythology, specifically a young boy loved by the god Apollo, who turned into a cypress tree.
Francis Dominic Murnaghan (1912–2002) was a prominent American mathematician known for his contributions to the fields of mathematics and mathematical physics. He is particularly recognized for his work in the areas of linear algebra, analysis, and mathematical methods in physics. Murnaghan made significant contributions to the study of symmetrical functions and matrix theory.
James J. Andrews is a mathematician known for his contributions to the field of mathematics, particularly in areas such as analysis, topology, and mathematical education. However, there may be limited public information about him, as he might not be as widely recognized as some other mathematicians. Depending on the context, he could also be associated with specific research works, papers, or contributions to mathematical theory.
"Half-Life: VR but the AI Is Self-Aware" is a comedic, fan-made mod based on the popular "Half-Life" video game series. This mod takes the original gameplay of "Half-Life" and adds a humorous twist by introducing a self-aware AI that comments on the player's actions and the game's mechanics.
A trunnion is a cylindrical protrusion used as a mounting or pivoting point in various engineering applications. It typically supports or allows the rotation of a mechanism. Trunnions are most commonly associated with: 1. **Mechanical Engineering**: In machinery, trunnions are used to support rotating parts, such as in the case of a pivot point for a rotating arm or other components.
In differential geometry, a tautological one-form is a specific type of differential form associated with a principal bundle or a fiber bundle, often used in the context of symplectic geometry and the study of certain geometric structures. For example, let's consider the cotangent bundle \( T^*M \) of a manifold \( M \).
The term "gudgeon" can refer to a couple of different things depending on the context: 1. **Fish**: The most common usage refers to a small freshwater fish belonging to the family Gobiidae. Gudgeons are typically found in Europe and some parts of Asia, inhabiting ponds, rivers, and streams. They are characterized by their elongated bodies and are often considered important for freshwater ecosystems.
The term "set of uniqueness" isn't a widely recognized concept in mathematics or philosophy. However, the phrase may refer to different ideas depending on the context. Here are a couple of possibilities: 1. **Unique Elements in a Set**: In a mathematical or data context, a "set of uniqueness" might refer to elements of a set that are distinct or unique—that is, a collection of items where each item appears only once.
The COVID-19 pandemic significantly impacted the cruise ship industry, leading to widespread outbreaks onboard several vessels. As the virus spread globally in early 2020, cruise ships became hotspots for transmission due to their closed environments, close quarters, and shared facilities.

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