Go! Sudoku is a video game based on the classic puzzle game Sudoku. It is typically available on various gaming platforms, including consoles and handheld devices. The game presents players with a grid of numbers, where the objective is to fill in the empty cells following the standard rules of Sudoku: each row, column, and region must contain all numbers in a specific range (usually 1-9) without repetition. Go!
The Butterfly curve is a famous algebraic curve in mathematics, notable for its unique shape that resembles a butterfly when plotted.
Rudolf Carnap (1891–1970) was a prominent philosopher and a key figure in the development of logical positivism and the philosophy of language. He was born in Germany and later became associated with the Vienna Circle, a group of philosophers and scientists who sought to combine ideas from logic and empiricism. Carnap's work focused on the clarification of language and the role of logical analysis in philosophical inquiry.
Infinitary logic is an extension of classical logic that allows for formulas to have infinite lengths, enabling the expression of more complex properties of mathematical structures. Unlike standard first-order or second-order logics, where formulas are made up of a finite number of symbols, infinitary logic permits formulas with infinitely many variables or connectives.
The Tweedie distribution is a family of probability distributions that generalizes several well-known distributions, including the normal, Poisson, gamma, and inverse Gaussian distributions. It is characterized by a parameter \(\p\) (the power parameter), which determines the specific type of distribution within the Tweedie family.
A **vague set** is a concept in set theory and mathematical logic that extends the idea of traditional sets to handle uncertainty and imprecision. Unlike classical sets, where membership is clearly defined (an element either belongs to the set or it does not), vague sets allow for degrees of membership. This is particularly useful in scenarios where categories are not black-and-white and boundaries are ambiguous.
Friedrich Waismann (1896–1959) was an Austrian philosopher and mathematician, known primarily for his work in the fields of logic, philosophy of language, and the philosophy of mathematics. He was associated with the Vienna Circle, a group of philosophers and scientists who were influential in the development of logical positivism. Waismann's contributions include discussions on the nature of language and meaning, particularly how it relates to mathematical and scientific discourse.
Kurt Gödel was an Austrian-American logician, mathematician, and philosopher, best known for his groundbreaking work in mathematical logic and the foundations of mathematics. He was born on April 28, 1906, in Brünn, Austria-Hungary (now Brno, Czech Republic) and died on January 14, 1978, in Princeton, New Jersey, USA.
David C. Lane is a notable figure in the fields of psychology and statistics, particularly known for his work in research methods, statistical analysis, and the psychological sciences. He is a professor at California State University, Los Angeles, and has contributed to the development of various resources for students and researchers, including textbooks and online materials on topics such as statistics in psychology and research methodology.
An **inductive set** is a fundamental concept in set theory and mathematical logic, particularly in the context of the natural numbers. A set \( S \) is called an inductive set if it satisfies two specific conditions: 1. **Base Element**: The set contains the base element, usually the number 0 (or 1, depending on the definition of natural numbers you are using).
In set theory, projection is a concept related to relations and the Cartesian product of sets. Given a set \( S \) and a relation \( R \subseteq S_1 \times S_2 \), a projection is a function that retrieves one part of the Cartesian product from the relation.
A Shelah cardinal, named after the mathematician Saharon Shelah, is a certain kind of large cardinal in set theory, which is a branch of mathematics. Large cardinals are infinite numbers that extend the concept of cardinality beyond the standard infinite sets recognized in Zermelo-Fraenkel set theory with the Axiom of Choice (ZFC).
Alexander S. Kechris is a prominent mathematician known for his contributions to set theory and its connections to other areas of mathematics, particularly in model theory and descriptive set theory. He has published numerous research papers and has co-authored influential texts, including works on the structure of the real line and on the foundations of set theory. Kechris is known for his rigorous approach to mathematics and has made significant contributions to the understanding of topological groups and their classifications.
In the context of set theory and descriptive set theory, a **Universally Baire set** is a type of subset of a Polish space (a separable completely metrizable topological space) that has certain properties concerning measure and category. Here's a more precise description: 1. **Baire Space**: A topological space is a Baire space if the intersection of countably many dense open sets is dense. This property is significant in various areas of analysis and topology.
The term "worldly cardinal" isn't widely recognized in common discourse or established literature, so it could refer to different concepts depending on context. However, it seems to suggest two distinct meanings: 1. **Religious Context**: In a more traditional sense, a "cardinal" typically refers to a high-ranking official in the Roman Catholic Church, a cardinal is a member of the clergy who is appointed by the Pope and is eligible to participate in papal elections.
Gottlob Frege (1848–1925) was a German philosopher, logician, and mathematician, widely regarded as one of the founding figures of modern logic and analytic philosophy. His work primarily focused on the philosophy of language, mathematics, and logic, and he made significant contributions to the foundations of mathematics.
Itay Neeman is a mathematician known for his work in the fields of model theory, set theory, and descriptive set theory. His research often involves topics like the interaction between logic and other areas of mathematics, including analysis and topology. He has produced a number of important results and publications in these areas.
LAPCAT, which stands for "LAnked Public Collection of ATaxonomical data," is a conceptual framework or project aimed at creating a comprehensive, organized database of taxonomical data. It focuses on making taxonomic information more accessible for research and educational purposes. The goal is to compile and standardize information regarding various species, their classifications, and related data in a manner that is easily searchable and usable for scientists, researchers, and educators.
Univel was a joint venture between IBM and Novell in the early 1990s, aimed at combining IBM's software and hardware expertise with Novell's networking and operating system capabilities. The goal of Univel was primarily to produce a version of the UNIX operating system that would be compatible with IBM's hardware and to enhance networking solutions, particularly in enterprise environments. The collaboration produced a UNIX variant known as "UnixWare," which was designed for performance on IBM's systems.
Endianness refers to the order in which bytes are arranged within larger data types (such as integers or floating-point numbers) when stored in computer memory. It plays a crucial role in data interpretation and communication between different systems and architectures. There are two primary types of endianness: 1. **Big-endian**: In this format, the most significant byte (the "big end") is stored at the lowest memory address, while the least significant byte is stored at the highest address.

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