Best-first search is a type of search algorithm used in graph traversal and pathfinding. It explores a graph by expanding the most promising node according to a specified rule or heuristic. The main goal of Best-first search is to find the most effective path to the goal state with minimal cost, time, or distance, depending on how the heuristic is defined.
In the 11th century, there were a few notable Greek mathematicians who contributed to the field, particularly during the Byzantine period. One of the most prominent figures was **Michael Psellos** (c. 1017–1078), a philosopher and scholar who wrote on various subjects, including mathematics. He is known for his commentaries on the works of ancient Greek mathematicians and philosophers. Another significant figure was **John of Damascus** (c.
In the 13th century, Greek mathematics was still significantly influenced by earlier figures like Euclid, Archimedes, and Ptolemy, but there were also important developments and figures during this time, particularly in the context of the Byzantine Empire and the transmission of knowledge. One of the notable mathematicians of this period is **George Pachymere** (c. 1240–1310), who was a Byzantine philosopher and scholar.
As of my last knowledge update in October 2023, there is no widely recognized figure or entity known as "Balanos Vasilopoulos." It could potentially refer to a person's name, a business, or a cultural reference not covered in public databases or common knowledge.
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.
George Dassios is a notable figure in the field of applied mathematics and engineering, particularly recognized for his contributions to fluid mechanics, heat transfer, and mathematical modeling. He has published numerous academic papers and has been involved in various research projects. His work often focuses on the application of mathematical techniques to solve complex engineering problems.
The semidirect product is a construction in group theory that allows you to combine two groups in a specific way, providing a means to build new groups from known ones. It is particularly useful in the study of groups with a certain structure and in applications in various areas of mathematics, including geometry and physics.
In group theory, the "product of group subsets" typically refers to the operation of combining elements from two subsets of a group to form new elements, often resulting in another subset within the group.
Giovanni Frattini may refer to a person, but there isn't a widely known figure by that name in public domains such as politics, arts, or sciences that stands out as of my last update in October 2023. It’s possible that he is a lesser-known individual or a private citizen. If you have more context, such as a specific field (e.g., sports, academia, etc.
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.
In Jonathan Swift's satirical novel "Gulliver's Travels," the Struldbrugs are a fictional group of people in the land of Luggnagg who are born with a unique condition: they are immortal. However, this immortality comes with significant drawbacks. Although Struldbrugs do not age or die, they suffer from the effects of aging, both physically and mentally. As they grow older, they become increasingly frail and often experience a decline in their faculties.
"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.
Évariste Galois (1811–1832) was a French mathematician who made significant contributions to the field of abstract algebra. He is best known for developing what is now called Galois theory, which connects field theory and group theory in a profound way, providing a systematic way to study polynomial equations and their solutions. Galois's work primarily focused on understanding the solvability of polynomial equations in terms of group theory.
Lemuel Gulliver is the fictional protagonist of Jonathan Swift's satirical novel "Gulliver's Travels," first published in 1726. The novel follows Gulliver, a ship's surgeon, as he embarks on a series of fantastical voyages to various strange lands, encountering bizarre cultures and societies that serve as a critique of contemporary politics, human nature, and the state of the human condition.
Symmetry in mechanics refers to properties or behaviors of mechanical systems that remain unchanged under certain transformations, such as translations, rotations, or reflections. Symmetry plays a fundamental role in understanding the physical behavior of systems, simplifying analyses, and identifying conserved quantities. Here are a few key aspects of symmetry in mechanics: 1. **Types of Symmetry**: - **Translational Symmetry**: A system exhibits translational symmetry if its properties are invariant under shifts in position.
"Ligeti Scholars" typically refers to a network or group of researchers, musicians, and scholars who study the works and contributions of the Hungarian composer György Ligeti. Ligeti (1923-2006) is known for his innovative and influential music, particularly in the realms of contemporary classical music and avant-garde composition.
Half-Life 2: Episode Three was meant to be the third installment in a series of episodic sequels to the critically acclaimed game Half-Life 2, developed by Valve Corporation. Announced alongside Half-Life 2: Episode One in 2006, Episode Three was intended to continue the story of protagonist Gordon Freeman and his struggle against the oppressive Combine forces, picking up where Episode Two left off.
A Hall-effect thruster (HET) is a type of electric propulsion system used primarily in spacecraft. It operates by utilizing the Hall effect to generate thrust through ionized propellant. Here is how it works: 1. **Ionization**: The thruster uses a noble gas, typically xenon, as propellant. Inside the thruster, this gas is ionized by an electric discharge, which turns it into plasma consisting of positively charged ions and free electrons.
GoldSrc is a game engine developed by Valve Corporation, which was the foundation for many popular games, including the original "Half-Life." Over time, numerous mods and modifications have been created using the GoldSrc engine, leading to a wide range of gameplay experiences, enhancements, and entirely new content. Here's a list of some notable GoldSrc mods: 1. **Counter-Strike** - A team-based first-person shooter that became one of the most popular multiplayer games in history.

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