Uranium-233 (U-233) is a radioactive isotope of uranium. It is one of the isotopes of uranium that can be used in nuclear reactions, particularly in reactors and for the production of nuclear energy. Here are some key points about U-233: 1. **Production**: U-233 is primarily produced through the neutron irradiation of thorium-232 (Th-232), which captures a neutron to become Th-233.
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.
Er:YAG laser stands for Erbium-doped Yttrium Aluminum Garnet laser. It is a type of solid-state laser that uses erbium ions (Er³⁺) as the active laser medium, with yttrium aluminum garnet (YAG) as the host crystal. The Er:YAG laser operates at a wavelength of approximately 2940 nanometers, which falls within the infrared spectrum.
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 dimensionslength 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.
A Hankel matrix is a specific type of structured matrix that has the property that each ascending skew-diagonal from left to right is constant. In more formal terms, a Hankel matrix is defined by its entries being determined by a sequence of numbers; the entry in the \(i\)-th row and \(j\)-th column of the matrix is given by \(h_{i,j} = a_{i+j-1}\), where \(a\) is a sequence of numbers.
Descartes' theorem, also known as the "kissing circles theorem," relates to the geometric properties of circles. Specifically, it provides a relationship between the curvatures (or bending) of four mutually tangent circles. In this context, the curvature of a circle is defined as the reciprocal of its radius (i.e., \( k = \frac{1}{r} \)).
The mean, often referred to as the average, is a measure of central tendency in statistics. It is calculated by summing a set of values and then dividing that sum by the number of values in the set.
The Wilkinson matrix is a specific type of structured matrix used in numerical analysis, particularly in the study of matrix algorithms and eigenvalue problems. It is named after the mathematician and computer scientist James H. Wilkinson. The Wilkinson matrix is notable for its properties, especially its sensitivity to perturbations, which makes it useful for testing numerical algorithms for stability and accuracy.
Root Mean Square (RMS) is a statistical measure used to quantify the magnitude of a varying quantity. It is especially useful in contexts where alternating values are present, such as in electrical engineering, signal processing, and physics. The RMS value provides a way to express the average of a set of values, where all values are taken into account without regard to their sign (positive or negative).
Sensemaking is a cognitive process through which individuals and groups interpret and understand complex, ambiguous, or uncertain situations. It involves gathering information, interpreting data, and creating meaning from experiences. Sensemaking is particularly important in environments where information is incomplete or rapidly changing, such as in organizational decision-making, crisis management, or during transformative shifts in social or technological contexts.
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 term "Riesz mean" refers to a concept in mathematical analysis, specifically in the study of summability and convergence of series or functions. It is named after the Hungarian mathematician Frigyes Riesz. The Riesz mean is a way to assign a value to a divergent series or to improve the convergence properties of a series. It can be viewed as a generalization of the concept of taking limits.
A demand oracle is a concept typically used in the field of economics and decision-making, particularly in the context of auctions, markets, or mechanisms where the value of items or services is determined by the demand from participants. In a more technical or theoretical sense, a demand oracle can be thought of as an entity or a function that provides information about the demand for a particular good or service at various price points or conditions.
Triton is the largest moon of Neptune and the seventh-largest moon in the solar system. It was discovered on October 10, 1846, by British astronomer William Lassell just 17 days after the discovery of Neptune itself. Triton is particularly interesting for several reasons: 1. **Retrograde Orbit**: Triton has a unique retrograde orbit, meaning it orbits Neptune in the opposite direction to the planet's rotation.
"Radix" can refer to different concepts depending on the context in which it is used: 1. **Mathematics**: In mathematics, "radix" refers to the base of a number system. For instance, the decimal system (base 10) has a radix of 10, while binary (base 2) has a radix of 2. The radix indicates how many unique digits, including zero, are available to represent numbers.
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.
Liquids are one of the four fundamental states of matter, the others being solids, gases, and plasma. They have distinct characteristics that distinguish them from other states: 1. **Definite Volume**: Liquids have a definite volume, meaning they occupy a fixed amount of space. This is in contrast to gases, which can expand to fill any container. 2. **Indefinite Shape**: Unlike solids, which have a fixed shape, liquids take the shape of their container.
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.

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