"Remarks on Frazer's Golden Bough" is an important scholarly critique written by the anthropologist and philosopher Edward Evans-Pritchard, which reflects on Sir James Frazer's seminal work, "The Golden Bough." Published in 1890, "The Golden Bough" is an extensive comparative study of mythology and religion, exploring the themes of fertility, death, and the rituals surrounding them across various cultures.
"Zettel" is a philosophical work by Ludwig Wittgenstein, published posthumously in 1967. The title "Zettel" translates to "slips of paper" or "notes" in German, reflecting the format of the text, which consists of a series of loosely connected remarks and thoughts rather than a formal, systematic treatise. The work delves into various themes related to language, meaning, and the nature of philosophical problems.
"Accessory to War: The Unhidden History of the Pentagon and the Profiteers" is a book by journalist and author Neil Blumenthal and historian and journalist, Michael W. G. Rosen. Published in 2018, the book explores the intricate relationship between the U.S. military, technology, and corporate interests, particularly in the context of defense contracting and war.
"The Pluto Files" is a book written by astrophysicist Neil deGrasse Tyson, published in 2009. The book explores the story of Pluto's status as a planet, particularly in light of its reclassification in 2006 by the International Astronomical Union (IAU) as a "dwarf planet.
"The Eerie Silence" is a book written by Paul Davies, published in 2010. In this work, Davies explores the Fermi Paradox, which questions why, given the vastness of the universe and the high probability of extraterrestrial life, we have not yet observed any signs of alien civilizations.
Free Boolean algebra is a concept in the field of abstract algebra that deals with Boolean algebras without imposing specific relations among the elements. In essence, a free Boolean algebra is generated by a set of elements (often called generators) without any relations other than those that are inherent to the properties of Boolean algebras. ### Key Characteristics of Free Boolean Algebras: 1. **Generators**: A free Boolean algebra is determined by a set of generators.
Boolean algebra is a branch of algebra that deals with true or false values, typically represented as 1 (true) and 0 (false). It is fundamental in various fields such as computer science, digital electronics, and logic. Below is a list of fundamental topics related to Boolean algebra: 1. **Basic Concepts** - Boolean Variables - Boolean Constants (0 and 1) - Boolean Functions 2.
A Boolean domain refers to a logical system that operates on values that can be either true or false. The term often comes up in discussions related to Boolean algebra, which is a mathematical structure dealing with binary variables and their operations. In the context of computer science, the Boolean domain typically encompasses: 1. **Boolean Values**: The primary values in this domain are `true` and `false`.
A Boolean expression is a mathematical expression that evaluates to either true or false. It is formed using Boolean variables (which take on values of true or false) and logical operators, such as AND, OR, and NOT. The expression can be in the form of simple propositions or complex combinations. Here are some common logical operators: 1. **AND (∧)**: The result is true if both operands are true.
Boolean satisfiability (SAT) is a fundamental problem in computer science and logic that involves determining whether there exists an interpretation (assignment of values to variables) that satisfies a given Boolean formula. The problem can be expressed in terms of propositional logic, where the formula is composed of variables, logical operators (AND, OR, NOT), and constants (TRUE, FALSE). SAT solvers are algorithms designed to solve the SAT problem, and they often employ various heuristics to improve performance and efficiency.
Cantor algebra is a type of algebraic structure associated with the Cantor set, which is an important object in topology and measure theory. The Cantor set itself is a well-known example of a fractal and is constructed by repeatedly removing the middle third of a line segment. The concept of Cantor algebra often refers to certain algebraic systems or structures that can be constructed using the Cantor set, particularly in the context of functional analysis, measure theory, or logic.
Cohen algebra is a concept in the field of algebra, particularly in the area of combinatorial algebra and representation theory. While there isn't a universally recognized or widely adopted definition of "Cohen algebra," the term is often associated with structures or techniques developed by mathematicians like Paul Cohen, who made significant contributions to mathematical logic and set theory, particularly related to forcing and independence results in set theory.
The Davis–Putnam algorithm is a method used for solving problems in propositional logic, particularly the satisfiability problem (SAT). Proposed by Martin Davis and Hilary Putnam in their 1960 paper, the algorithm is designed to determine whether a given propositional formula can be satisfied by some assignment of truth values to its variables.
In mathematics, particularly in the field of order theory and lattice theory, a **division lattice** is a specific type of lattice structure that is primarily concerned with the division operation among its elements.
A **Zhegalkin polynomial** is a mathematical tool used in Boolean function theory and represents a Boolean function as a polynomial over the field of two elements, typically denoted by \( \mathbb{F}_2 \). This type of polynomial is expressed in terms of binary variables and involves operations of addition and multiplication modulo 2.
The Majority function is a computational function that determines the majority value among a set of input values. In the context of Boolean functions, the Majority function takes a certain number of binary inputs (typically 0s and 1s) and outputs the value that appears most frequently among the inputs.
Boolean algebra is a mathematical structure that captures the principles of logic and set operations. To define Boolean algebra, we can use a minimal set of axioms. The typical minimal axioms for Boolean algebra include: 1. **Closure**: The set is closed under two binary operations (usually denoted as \(\land\) for "and" and \(\lor\) for "or") and a unary operation (usually denoted as \(\neg\) for "not").
Petrick's method is a technique used in digital logic design to simplify Boolean expressions, particularly those represented in terms of product terms (also known as minterms). It is especially useful for finding minimal sum-of-products (SOP) expressions from a set of minterms that represent a logic function. The method is named after the computer scientist George Petrick, who developed it as a systematic way to analyze and simplify Boolean functions.
Poretsky's law of forms is a concept in the field of complex analysis, particularly related to the properties of holomorphic functions. It addresses the classification of complex functions based on their behavior or characteristics, particularly regarding their zeros and singularities. More specifically, Poretsky's law states that holomorphic functions can be classified by their growth rates and the nature of their singularities. This classification leads to a deeper understanding of the structure and properties of analytic functions.
A **product term** is a concept used primarily in Boolean algebra and digital logic design. It refers to an expression formed by the logical AND (conjunction) of one or more variables or literals. In Boolean terms, a product term is characterized by the following features: 1. **Variables and their Complements**: Each variable can appear in its original form or as its complement.

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 5. . 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.
  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