Liu Hui was a Chinese mathematician who lived during the third century AD, and he is particularly known for his work on geometry and the approximation of π (pi). In his landmark work "The Nine Chapters on the Mathematical Art," Liu Hui devised an algorithm to calculate the value of π, which was based on inscribing and circumscribing polygons. The method he proposed is often described as follows: 1. **Start with a Circle**: Imagine a circle with a known radius.
Combinatorial game theory is a branch of mathematics and theoretical computer science that studies combinatorial games—games that have no element of chance and where the players take turns making moves. The focus is primarily on two-player games with perfect information, meaning that both players are fully aware of all previous moves and the state of the game at all times.
The Maximum Power Transfer Theorem is an important principle in electrical engineering and circuit analysis. It states that in order to transfer the maximum amount of power from a source (such as a voltage or current source) to a load (such as a resistor), the load resistance must be equal to the output resistance of the source or circuit from which the power is being drawn, when looking back into the circuit.
The Law of Excluded Middle is a principle in classical logic that states that for any proposition \( P \), either \( P \) is true or its negation \( \neg P \) is true. In formal terms, it can be expressed as: \[ P \lor \neg P \] This means that there is no third option or middle ground between a statement being true and it being false.
Irving S. Reed is likely a reference to the American mathematician and statistician known for his work in fields like mathematics and operations research. However, without specific context, it is difficult to determine precisely what attributes or contributions you are interested in related to him.
The term "branching factor" typically refers to a concept in tree structures, search algorithms, and graph theory, and it describes the number of child nodes or successors that a given node can have. More specifically, in the context of search trees used in algorithms like depth-first search (DFS) or breadth-first search (BFS), the branching factor indicates how many options or paths are available at each step of the exploration.
A back-of-the-envelope calculation refers to a rough, quick estimation method used to gauge the size or impact of a problem or situation without detailed data or rigorous analysis. The name comes from the idea that these calculations can be performed on the back of an envelope (or any scrap paper) and typically involve simple arithmetic or logical reasoning.
Michael Schur is a prominent American television producer, writer, and director, known for his work on several acclaimed television series. He is particularly famous for co-creating and producing shows such as "Parks and Recreation," "The Good Place," and "Brooklyn Nine-Nine." Schur's work often blends comedy with thoughtful themes and character development, earning him recognition in the television industry.
In combinatorial game theory, "cooling" and "heating" are concepts that pertain to moves and the resulting temperature of positions in certain games. These terms are often used in the context of the strategic elements of a game, particularly in the analysis of positions and the impact of moves on future gameplay. 1. **Cooling**: This refers to moves that make a position less favorable for the player about to move (often termed the "next player").
Taylor's theorem is a fundamental result in calculus that provides a way to approximate a function using polynomials. Specifically, it states that any sufficiently smooth function can be approximated near a point by a polynomial whose coefficients are determined by the function's derivatives at that point. ### Formal Statement: Let \( f \) be a function that is \( n \)-times differentiable at a point \( a \).
It seems there might be a slight misspelling in your query, as "Adriano Garsia" does not appear to correspond to any widely recognized figure or term. You might be referring to "Adriano Garcia," but without additional context, it is challenging to identify who or what you mean.
AVFoundation is a powerful framework provided by Apple that allows developers to work with audiovisual media in their applications. It is part of the iOS, macOS, watchOS, and tvOS SDKs and provides a range of capabilities for handling audio and video content. AVFoundation facilitates a wide variety of tasks, including: 1. **Playback**: Developers can play audio and video files, streams, and other media formats.
Heiko Harborth is a German mathematician known for his contributions to discrete mathematics, graph theory, and combinatorics. His research often focuses on topics related to graph coloring, extremal graph theory, and combinatorial algorithms. Harborth has authored and co-authored numerous papers and works in these areas, and he is recognized for his work in studying properties of graphs and their applications in various mathematical contexts.
Federico Rodriguez Hertz does not appear to be a widely recognized figure or term in public sources as of my last update in October 2023. It's possible that he could be a private individual or a lesser-known figure in a specific field. If he has gained notoriety or relevance after that date, I would not have that information.
J. H. van Lint (Jan H. van Lint) is a notable figure in the fields of mathematics and combinatorics. He is particularly known for his contributions to graph theory, coding theory, and combinatorial designs. Van Lint has authored several influential books and research papers, often co-authoring works with other mathematicians. His book "Introduction to Coding Theory," co-authored with J. A. H. H.
Jinyoung Park is a mathematician known for contributions in the field of mathematics, specifically in areas such as algebra, geometry, or topology.
In mathematics, localization is a technique used to focus on a particular subset of a mathematical structure or to analyze properties of functions, spaces, or objects at a certain point or region. The concept is prevalent in various areas of mathematics, particularly in algebra, topology, and analysis.
Lauren Williams is an American mathematician known for her work in the fields of combinatorics, algebraic geometry, and representation theory. She has made significant contributions to the study of various algebraic and geometric structures, including the study of matroids, symmetric functions, and Schubert calculus. Williams has also been recognized for her work on problems related to combinatorial algebra, including connections between algebraic geometry and combinatorial structures.
Michael Somos is an American mathematician known for his work in number theory, particularly for his contributions to the study of sequences and polynomial identities. He is recognized for developing the Somos sequences, which are a family of recursively defined sequences that have interesting combinatorial and algebraic properties. These sequences arise in various mathematical contexts, including algebraic geometry and algebraic combinatorics.
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!
Intro to OurBigBook
. Source. We have two killer features:
- 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-calculusArticles 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/derivativeVideo 2. OurBigBook Web topics demo. Source. - 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.
- to OurBigBook.com to get awesome multi-user features like topics and likes
- as HTML files to a static website, which you can host yourself for free on many external providers like GitHub Pages, and remain in full control
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. - Infinitely deep tables of contents:
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





