In measure theory, the concept of a projection generally refers to a mathematical operation that reduces dimensionality or extracts particular components from a measurable space, often in the context of product spaces. While "projection" can have different meanings in various contexts within mathematics, in measure theory it is particularly relevant when dealing with measurable spaces, measurable functions, and product measures. ### 1.
Carmen Hermosillo by Wikipedia Bot 0
Carmen Hermosillo could refer to a variety of subjects, including a person, a character in literature or media, or potentially even a place or organization. However, without additional context, it's difficult to provide specific information.
Smart market by Wikipedia Bot 0
"Smart market" can refer to various concepts depending on the context in which it's being used. Here are a few potential interpretations: 1. **Smart Markets in Economics**: In economic terms, a "smart market" may refer to a marketplace that utilizes advanced technologies, algorithms, or data analytics to optimize transactions, improve efficiency, and enhance user experience. This could involve using AI to forecast demand, optimize pricing, or personalize offerings.
Mercedes-Euklid by Wikipedia Bot 0
Mercedes-Euklid appears to be a combination of two terms: "Mercedes," which is commonly associated with the German luxury automotive brand Mercedes-Benz, and "Euklid," likely referring to Euclid, the ancient Greek mathematician known for his work in geometry. However, there is no widely recognized concept, product, or term specifically called "Mercedes-Euklid" in common discourse as of my last knowledge update in October 2023.
Caroline Herzenberg is a physicist known for her contributions to experimental physics, particularly in the field of particle physics. She has been involved in significant research projects, including work with neutrino experiments and investigations into fundamental particles. Herzenberg is also known for advocating for women in science and has participated in various initiatives to promote diversity and inclusion within the scientific community.
Prp24 by Wikipedia Bot 0
Prp24 is a protein that plays a critical role in pre-mRNA splicing, a process essential for the maturation of messenger RNA (mRNA) in eukaryotic cells. It is part of the spliceosome, which is a complex of RNA and proteins that facilitates the removal of introns from pre-mRNA.
The Cartan–Karlhede algorithm is a method used in differential geometry and the study of differential equations to classify and analyze the geometrical properties of differential systems, particularly focusing on the structure of differential equations and their solutions. It is often employed in the context of Riemannian geometry and the theory of integrable systems. The algorithm facilitates the classification of differential equations based on their geometric characteristics by providing a systematic approach for determining essential features of a given differential system.
George Gray was a notable British chemist known for his contributions to the field of chemistry, particularly in the area of liquid crystals. He is often associated with the development of materials used in liquid crystal displays (LCDs), which have become a fundamental technology in electronics, including screens for TVs, smartphones, and computers. Gray's work in liquid crystals led to significant advancements in the understanding and application of these substances, which have unique properties that allow them to alter their optical characteristics in response to electric fields.
Delta Kream by Wikipedia Bot 0
"Delta Kream" is an album by the American rock band The Black Keys, released on May 14, 2021. The album is a collection of covers that pays homage to the band's musical influences, particularly Delta blues artists. It features reinterpretations of songs by notable blues musicians such as Junior Kimbrough and R.L. Burnside.
"Cover Your Heart and the Anvil Pants Odyssey" is likely a reference to a specific creative work, possibly a book, article, or even a creative project that explores themes related to relationships, self-identity, or personal journeys. However, there doesn't appear to be widely recognized content or a notable work by that exact name in popular literature or media.
George Johnstone Stoney (1826–1911) was an Irish physicist and engineer best known for his contributions to the understanding of atomic theory and for introducing the concept of the electron. He proposed that electricity was made up of discrete units, which he called "electrons" in a paper published in 1874, although the term did not gain popularity until later. Stoney's work laid the groundwork for future developments in atomic physics and largely influenced the field of electrochemistry.
Berkut spacesuit by Wikipedia Bot 0
The Berkut spacesuit is a type of space suit that was developed in Russia for use by cosmonauts during extravehicular activities (spacewalks) and for other operations in space. Officially known as the "Berkut" (which means "Golden Eagle" in Russian), this suit is designed to provide life support and protection in the harsh environment of outer space.
As of my last update in October 2023, specific statistics for the George Mason Patriots men's basketball team's all-time statistical leaders can vary by season and source. Typically, statistical leaders include categories such as points, rebounds, assists, steals, and blocks.
Catalan's minimal surface is a notable example of a minimal surface, which is a surface that locally minimizes area for a given boundary. It is named after the French mathematician Eugène Charles Catalan. This surface can be described mathematically and has interesting geometric properties.
Catherine Doléans-Dade is a French mathematician known for her work in the fields of geometry and topology. She has made significant contributions to the study of surfaces and their properties.
Catherine Greenhill is a prominent figure in the field of mathematics, particularly known for her work in combinatorics and graph theory. She is also known for her contributions to mathematics education and outreach, including efforts to promote mathematics among students and the general public. In addition to her research, she often engages in writing and public speaking, aiming to inspire interest in mathematical concepts and their real-world applications.
Encomium by Wikipedia Bot 0
An "encomium" is a formal expression of praise, often in the form of a speech or writing that extols the virtues of a particular person, event, or concept. The term is derived from the Greek word "enkomion," which means "a song of praise." Encomiums are typically characterized by their elevated language and rhetorical flourish, aiming to celebrate and highlight positive attributes.
"Cats and the Internet" refers to the phenomenon of cats becoming a dominant subject of online content, particularly on social media and video-sharing platforms. This trend encompasses various forms of internet media, such as memes, videos, gifs, and images featuring cats, which often go viral and attract millions of views and likes.
Cauchy matrix by Wikipedia Bot 0
A Cauchy matrix is a type of structured matrix that is defined by its elements as follows: If \( a_1, a_2, \ldots, a_m \) and \( b_1, b_2, \ldots, b_n \) are two sequences of distinct numbers, the Cauchy matrix \( C \) formed from these sequences is an \( m \times n \) matrix defined by: \[ C_{ij} = \frac{1
George Parker Bidder was a notable figure in the 19th century, recognized primarily for his work as a mathematical prodigy and a calculating boy. Born in 1806 in England, he gained fame for his extraordinary ability to perform complex calculations mentally at a very young age. His talents captured the attention of the public and intellectuals alike, and he became a popular figure in exhibitions and demonstrations of mental arithmetic.

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