Berkeley Software Distribution by Ciro Santilli 37 Updated +Created
Legal issues stalled them at the turning point of the Internet, and Linux won. Can't change history.
Did Apple just fork it and made Mac OS X without giving anything back?
Inverse limit by Wikipedia Bot 0
The inverse limit (or projective limit) is a concept in topology and abstract algebra that generalizes the notion of taking a limit of sequences or families of objects. It is particularly useful in the study of topological spaces, algebraic structures, and their relationships.
In theoretical physics, particularly in the context of gauge theories and string theory, the term "bifundamental representation" refers to a specific type of representation of a gauge group that is associated with two distinct gauge groups simultaneously. For example, consider two gauge groups \( G_1 \) and \( G_2 \). A field (or representation) that transforms under both groups simultaneously is said to be in the bifundamental representation.
Bendixson's inequality is a result in the theory of dynamical systems, particularly in the study of differential equations. It provides a criterion for the non-existence of periodic orbits in certain types of planar systems. In more detail, Bendixson's inequality applies to a continuous, planar vector field given by a differential equation.
Arity by Wikipedia Bot 0
Arity is a concept that refers to the number of arguments or operands that a function or operation takes. It's commonly used in mathematics and programming to describe how many inputs a function requires to produce an output. For example: - A function with an arity of 0 takes no arguments (often referred to as a constant function). - A function with an arity of 1 takes one argument (e.g., a unary function).
Embedding problem by Wikipedia Bot 0
In the context of machine learning and natural language processing, the term "embedding problem" can refer to several related concepts, primarily revolving around the challenge of representing complex data in a form that can be effectively processed by algorithms. Here are some key aspects: 1. **Embedding Vectors**: In machine learning, "embedding" typically refers to the transformation of high-dimensional data into a lower-dimensional vector space. This is crucial for enabling efficient computation and understanding relationships between data points.
Additive inverse by Wikipedia Bot 0
The additive inverse of a number is the value that, when added to that number, results in zero. In mathematical terms, for any number \( a \), its additive inverse is \( -a \).
Additive identity by Wikipedia Bot 0
The additive identity is a concept in mathematics that refers to a number which, when added to any other number, does not change the value of that number. In the set of real numbers (as well as in many other mathematical systems), the additive identity is the number \(0\).
Bilinear form by Wikipedia Bot 0
A bilinear form is a mathematical function that is bilinear in nature, meaning it is linear in each of its arguments when the other is held fixed.
In abstract algebra, a branch of mathematics that deals with algebraic structures, theorems serve as fundamental results or propositions that have been rigorously proven based on axioms and previously established theorems. Here are some significant theorems and concepts in abstract algebra: 1. **Group Theory Theorems**: - **Lagrange's Theorem**: In a finite group, the order (number of elements) of any subgroup divides the order of the group.
Ternary operations, also known as ternary conditional operators or ternary expressions, refer to operations that take three operands. In programming, the most common example of a ternary operation is the ternary conditional operator, which is often used as a shorthand for an `if-else` statement. ### Ternary Conditional Operator The syntax typically appears as follows: ```plaintext condition ?
Process calculi by Wikipedia Bot 0
Process calculi are formal models used to describe and analyze the behavior of concurrent systems, where multiple processes execute simultaneously. They provide a mathematical framework for understanding interactions between processes, communication, synchronization, and the composition of processes. Process calculi are foundational in the field of concurrency theory and have applications in various areas, including computer science, networks, and distributed systems.
Commutator by Wikipedia Bot 0
A commutator is a mathematical concept that appears in various fields such as group theory, linear algebra, and quantum mechanics. Its specific meaning can vary depending on the context.
Algebraic structures are fundamental concepts in abstract algebra that provide a framework for understanding and analyzing mathematical systems in terms of their operations and properties. An algebraic structure consists of a set accompanied by one or more binary operations that satisfy specific axioms.
Algebraic properties of elements typically refer to the rules and concepts in algebra that describe how elements (such as numbers, variables, or algebraic structures) behave under various operations. These properties are fundamental to understanding algebra. Here are some key algebraic properties: 1. **Closure Property**: A set is closed under an operation if performing that operation on members of the set always produces a member of the same set. For example, the set of integers is closed under addition and multiplication.
Elliptic curve by Wikipedia Bot 0
An elliptic curve is a type of mathematical structure that has important applications in various fields, including number theory, cryptography, and algebraic geometry. Formally, an elliptic curve is defined as the set of points \( (x, y) \) that satisfy a specific type of equation in two variables.

Pinned article: ourbigbook/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