A **bidirected graph** (also known as a bidirectional graph) is a type of graph in which edges have a direction that allows for travel in both directions between any two connected vertices. In other words, if there is an edge from vertex \( A \) to vertex \( B \), it can also be traversed from vertex \( B \) back to vertex \( A \).
Dependent random choice is a concept mainly used in probability theory and stochastic processes. It refers to a selection process where the choices made are not independent of one another; rather, the outcome of one choice influences the probabilities of subsequent choices. In a typical independent random choice scenario, the probability of each outcome remains constant regardless of what has happened before. However, in dependent random choice, the selection of one item or event alters the likelihood of selecting other items or events in the future.
This chick is hardcore.
Bernoulli's triangle is a mathematical construct related to the binomial coefficients, similar to Pascal's triangle. The elements of Bernoulli's triangle are known as Bernoulli numbers, which are a sequence of rational numbers that have important applications in number theory, analysis, and combinatorics.
The **binomial approximation** refers to several mathematical ideas involving binomial expressions and the binomial theorem. Most commonly, it is used in the context of approximating probabilities and simplifying calculations involving binomial distributions or binomial coefficients.
Helju Rebane is an Estonian politician known for her involvement in local government and political activities in Estonia. She has served in various capacities, including as a member of the Tallinn City Council. Her work is often focused on issues affecting local governance and community development.
In geometry, a plane is a fundamental concept referring to a flat, two-dimensional surface that extends infinitely in all directions. Here are some key features and properties of planes: 1. **Dimensions**: A plane has only two dimensions—length and width—without any thickness. It is typically represented in a two-dimensional coordinate system with x and y axes.
A constructible polygon is a polygon that can be drawn using only a compass and straightedge as per the principles of classical Greek geometry. Specifically, a regular polygon (one where all sides and angles are equal) is considered constructible if the number of its sides \( n \) can be expressed in a very specific way.
The quasi-arithmetic mean is a generalization of the arithmetic mean, and it is defined using a function that transforms the values before averaging them.
The Bild Lilli doll is a fashion doll that originated in Germany in the late 1950s. Created by the German cartoonist Reinhard Beuthin, the doll was initially inspired by a comic strip character named Lilli, who was featured in a comic series that debuted in 1952. The Lilli doll was designed as a gift for adults rather than children and was marketed towards young women as a fashion and lifestyle accessory.
Integrity Toys is a company known for producing high-quality fashion dolls and collectibles. Founded in 1995, the company gained prominence for its detailed craftsmanship and artistic designs, particularly its fashion dolls that cater to adult collectors. Integrity Toys is renowned for its lines such as the Fashion Royalty series, which features stylish dolls with a focus on high fashion, as well as other collections like Poppy Parker, Nu. Face, and the Beetlejuice series, among others.
Arrow types are a concept in programming, particularly in functional programming and type theory. They can be thought of as a way to generalize functions and represent computations. An arrow is often used to describe computations that have an input-output relation but can also include additional structure, such as the ability to combine or sequence computations.
DNA sequencing is a laboratory technique used to determine the precise order of nucleotides in a DNA molecule. Nucleotides are the building blocks of DNA and consist of four types: adenine (A), thymine (T), cytosine (C), and guanine (G). The sequence of these nucleotides encodes genetic information and plays a crucial role in various biological functions.
Georg Gottlob is a prominent computer scientist known for his contributions to theoretical computer science, particularly in the areas of logic programming, query languages, and database theory. He is recognized for his work on the foundations of knowledge representation and reasoning, as well as for developing algorithms and techniques related to efficient query processing and optimization in databases.
Model-Based Definition (MBD) is a method used in engineering and manufacturing where product information, including geometry, dimensions, and tolerances, is contained within a 3D model rather than in traditional 2D drawings. MBD leverages 3D Computer-Aided Design (CAD) models to convey all necessary information for manufacturing and quality control processes.
Los Alamos chess is a variant of chess that was invented in the 1970s by a group of chess enthusiasts in Los Alamos, New Mexico. This variant is played on a standard chessboard with the regular pieces, but it introduces some unique rules that differentiate it from traditional chess. In Los Alamos chess, each player has the ability to move a piece and then "block" the opponent's piece with a different piece on the next turn, adding a strategic layer to the game.
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





