The list of minor planets from 93001 to 94000 refers to a catalog of minor planets (also known as asteroids) that have been assigned identification numbers within that specific range by the Minor Planet Center. Each minor planet is typically designated with a number based on the order in which it was discovered, along with a name if it has been officially named.
The list of Ukrainian mathematicians includes many notable figures who have made significant contributions to various fields of mathematics. Here are some prominent Ukrainian mathematicians: 1. **Grigori Perelman** - Known for his work on the Poincaré conjecture. 2. **Sofia Kovalevskaya** - One of the first women to earn a degree in mathematics and known for her work in analysis and differential equations. 3. **Mykhailo S.
The Karatsuba algorithm is a divide-and-conquer algorithm used for efficient multiplication of large integers. It was discovered by Anatolii Alexeevitch Karatsuba in 1960 and is particularly significant because it reduces the multiplication of two n-digit numbers from the traditional \(O(n^2)\) time complexity to approximately \(O(n^{\log_2 3})\), which is about \(O(n^{1.585})\).
The list of unnumbered trans-Neptunian objects (TNOs) from the year 2000 refers to celestial bodies in the outer solar system that have been observed but not officially numbered by the International Astronomical Union (IAU). TNOs are defined as objects that orbit the Sun at a greater average distance than Neptune.
The list of U.S. congressional districts by life expectancy is a statistical breakdown that assigns average life expectancy figures to different congressional districts across the United States. This data typically highlights disparities in health and longevity among different regions, reflecting factors such as socioeconomic status, healthcare access, lifestyle, environmental variables, and public health policies.
Lithography is a crucial process in microfabrication used to create intricate patterns on materials, typically for semiconductor devices and integrated circuits. The term "lithography" originates from the Greek words "lithos," meaning stone, and "grapho," meaning to write, which reflects its historical beginnings in printing technology.
The Löwenheim number is a concept from mathematical logic, specifically within the context of model theory. It is named after the German mathematician Leopold Löwenheim, who contributed significantly to the field. The Löwenheim number refers to the smallest cardinality of a model of a certain logical theory when that theory has an infinite model.
Lumino kinetic art is a form of art that combines light and movement to create dynamic visual experiences. This genre of art focuses on the interplay between light and motion, often incorporating technology to enhance the effects. Artists may use a variety of materials and mediums, such as LED lights, projectors, motors, and other mechanisms that allow for movement, to create their works. The result is often a mesmerizing display that can change in appearance based on shifting light conditions or viewer interaction.
Malinvestment refers to the misallocation of resources, particularly capital, in the economy. It typically occurs when investments are made in projects or sectors that do not yield a sustainable return or are not aligned with actual consumer demand. This often happens due to distortions in market signals, such as those caused by interventionist policies, low interest rates, or speculative bubbles.
Margining risk, also known as collateral risk, refers to the potential financial risks associated with the margining process in financial transactions, particularly in derivatives and trading markets. Margining is the practice of requiring traders to post collateral (margin) to cover potential losses on their positions. This collateral is meant to protect against defaults and ensure that both parties fulfill their obligations.
A market anomaly refers to a situation where the price of an asset deviates from its expected or fair value, often contradicting the principles of efficient market hypothesis (EMH). The EMH posits that financial markets are "informationally efficient," meaning that asset prices fully reflect all available information. However, market anomalies suggest that there are instances where assets are mispriced and do not reflect all relevant information, leading to opportunities for investors to achieve abnormal returns.
"Cyberjack" can refer to a few different things depending on the context. Here are a couple of possibilities: 1. **Cyberjack (in cybersecurity)**: In a cybersecurity context, "cyberjack" may refer to a form of attack or unauthorized access to a computer system or network, where an attacker gains control over a system to manipulate or extract data. It's a term that might be used informally but isn't widely recognized as a specific category of cyber attack.
A transect is a method used in ecology and environmental science to study the distribution of organisms and environmental features across a specific area. It involves laying out a line or a path across a habitat and systematically collecting data along that line. This method allows researchers to quantify changes in biodiversity, species composition, and environmental gradients over a certain distance. Transects can be classified into different types, including: 1. **Line Transects**: Where observations or measurements are taken at regular intervals along a straight line.
In the context of film production, a "masking threshold" typically refers to a technique used to enhance the visual clarity and detail of a film by selectively masking or blocking certain elements of the picture. This is particularly relevant in post-production and involves adjusting brightness, contrast, and color values to create a more focused viewing experience. For instance, in color grading or visual effects, the masking threshold can help isolate specific parts of the image to retain or enhance details while suppressing less important elements.
The Fatimid Caliphate, which existed from 909 to 1171, was a significant Islamic empire that stretched across North Africa and the Mediterranean, known for its advancements in various fields, including mathematics, science, and philosophy. During this period, several mathematicians and scholars contributed to the mathematical sciences.
Mathieu de la Porte refers to a historical figure, specifically a French nobleman and a soldier, who is often recognized for his role during the early 17th century. Most notable is his involvement in the French Wars of Religion and the subsequent conflicts in France.
Matrix Chain Multiplication is a classical problem in computer science and optimization that involves finding the most efficient way to multiply a given sequence of matrices. The goal is to minimize the total number of scalar multiplications needed to compute the product of the matrices.
Matrix representation refers to the method of representing a mathematical object, system of equations, or transformation using a matrix. Matrices are rectangular arrays of numbers or symbols arranged in rows and columns, which can succinctly describe complex relationships and operations in various fields such as mathematics, physics, computer science, and engineering. Here are some common contexts in which matrix representation is used: 1. **Linear Equations**: A system of linear equations can be compactly represented in matrix form.
In the context of graph theory, particularly when discussing matchings in bipartite graphs, a **maximally matchable edge** refers to an edge in a matching that cannot be included in a larger matching without violating the properties of disjointness. ### Key Concepts: 1. **Matching**: A matching in a graph is a set of edges without common vertices. A perfect matching is a matching that covers every vertex of the graph. 2. **Maximal Matching vs.

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