Joseph-Louis Lagrange (1736–1813) was an influential mathematician and astronomer of Italian origin who later became a naturalized French citizen. He made significant contributions to many areas of mathematics, including calculus, number theory, and mechanics. Lagrange is known for several key achievements: 1. **Lagrange's Theorem**: In group theory, he established that the order of a subgroup divides the order of the group.
The Journal of Crystal Growth is a scientific journal that publishes research articles, reviews, and letters related to the field of crystal growth and related disciplines. It focuses on the processes involved in the growth of single crystals, as well as the properties, applications, and techniques associated with crystalline materials. This includes work on various materials such as semiconductors, metals, and biomaterials, as well as advances in growth methods like vapor phase, solution phase, and solid-state techniques.
Judicial restraint is a legal philosophy that encourages courts to limit their own power and avoid interfering with the operations of the legislative and executive branches of government. The principle promotes the idea that judges should interpret the law based on its original meaning and intent, and should uphold laws unless they clearly violate the Constitution. Proponents of judicial restraint believe that judicial intervention can disrupt the balance of power among the branches of government and that elected officials, rather than judges, are better suited to make policy decisions affecting society.
The Journal of Water Resources Planning and Management is a scholarly publication that focuses on the development and dissemination of knowledge related to the planning and management of water resources. This journal typically covers a range of topics within the field, including but not limited to water supply, water quality, hydrology, water policy, climate change impacts on water resources, and the integration of social, economic, and environmental considerations in water management.
JSON Web Encryption (JWE) is a standard defined in RFC 7516 that provides a way to securely transmit data using the JSON format. It allows for the encryption of JSON data structures and is part of the suite of standards known as JSON Web Tokens (JWT). Here's a breakdown of key features and concepts related to JWE: 1. **Data Format**: JWE uses a compact JSON format to represent encrypted data, making it easy to serialize and transmit as a string.
Jupiter LVI, also known as S/2003 J 5, is one of the natural satellites of Jupiter. It is a part of the irregular group of moons, which are typically smaller and have more eccentric orbits compared to the larger, regular moons of Jupiter. Jupiter LVI was discovered in 2003, and like many of Jupiter's outer moons, it has a retrograde orbit, meaning it orbits Jupiter in the opposite direction of the planet's rotation.
As of my last update in October 2023, I don't have the most current statistics or all-time leaders for the Kansas City Roos men's basketball team. Typically, universities maintain their own athletic websites where they track various statistics, including all-time leaders in points, rebounds, assists, steals, and other categories for their sports teams.
Karel Slavíček is a name that may refer to various individuals, but one well-known association is with a Czech artist, particularly noted for his work in painting and graphics. He is recognized for his contributions to art in the Czech Republic. However, if you are looking for information about a specific Karel Slavíček or a particular context in which the name is used (such as literature, history, etc.), please provide more details!
Karger's algorithm is a randomized algorithm used to find a minimum cut in a connected undirected graph. The minimum cut of a graph is a partition of its vertices into two disjoint subsets such that the number of edges between the subsets is minimized. This is a fundamental problem in graph theory and has applications in network design, image segmentation, and clustering. ### Overview of Karger's Algorithm: 1. **Random Edge Selection**: The algorithm works by randomly selecting edges and contracting them.
A Kernel Adaptive Filter (KAF) is a type of adaptive filtering technique that utilizes kernel methods to deal with nonlinear problems. Traditional adaptive filters, like the Least Mean Squares (LMS) or Recursive Least Squares (RLS), generally work well for linear systems but struggle in the presence of nonlinearities in the data or signal characteristics. The main idea behind kernel adaptive filters is to use a kernel function to map the input data into a higher-dimensional feature space where linear relations can be learned more effectively.
Kessler syndrome, also known as the Kessler effect, refers to a scenario in which the density of objects in low Earth orbit (LEO) is high enough that collisions between satellites or space debris can lead to a cascade effect. In this situation, even small pieces of debris can cause significant damage to operational satellites and other objects in orbit, leading to more collisions and creating even more debris.
Key authentication is a security mechanism used to verify the identity of users or devices in digital communications or systems. It relies on cryptographic keys, which are unique pieces of data used to encrypt and decrypt information, ensuring that only authorized parties can access certain resources or data. There are several types of key authentication methodologies: 1. **Symmetric Key Authentication**: In this approach, both the user and the system possess the same secret key.
The Khmelnytskyi Nuclear Power Plant is a nuclear power facility located in Ukraine, specifically in the Khmelnytskyi Oblast. Construction of the plant began in the late 1970s, and it consists of two operational reactors, both of which are VVER-type (a Soviet-designed pressurized water reactor). The first reactor began operation in 1987, while the second was completed and began commercial operation in 2010.
A **Killing horizon** is a concept that arises in the context of theoretical physics, particularly in general relativity and the study of black holes. It is associated with the properties of spacetime near gravitational sources, particularly in situations involving event horizons. The term "Killing" refers to **Killing vectors**, which are mathematical objects that describe symmetries in a spacetime.
Kilnam Chon is a prominent South Korean computer scientist known for his contributions to the fields of networking and distributed systems. He is particularly recognized for his work in the development of the Internet, including projects related to internet protocol (IP) and the advancement of networking technologies. In addition to his research and academic achievements, Chon has been involved in various initiatives aimed at promoting the development of information technology in South Korea and beyond.
Kirkbi AG v. Ritvik Holdings Inc. is a notable legal case that deals with trademark law and the protection of intellectual property rights. The case involves Kirkbi AG, which is the owner of the LEGO trademark, and Ritvik Holdings Inc., a company that was accused of infringing on Kirkbi’s trademark rights through the sale of products that could cause consumer confusion.
Kitchenware refers to various tools, utensils, appliances, and equipment used in the kitchen for food preparation, cooking, serving, and storage. This category encompasses a wide range of items, including: 1. **Cookware**: Pots, pans, baking dishes, and other items used for cooking food on the stovetop or in the oven.
A **Knapsack auction** is a variation of auction mechanisms that introduces elements from the well-known "knapsack problem" from combinatorial optimization. In a classic knapsack problem, the goal is to select a subset of items, each with a given weight and value, such that the total weight is within a specified limit (the capacity of the knapsack) and the total value is maximized.
In topology, the complement of a knot refers to the space that remains when the knot is removed from the three-dimensional space.
The Kolakoski sequence is an infinite sequence of integers that is defined recursively. It is notable because it is self-generating and consists only of the integers 1 and 2. The sequence begins with 1 and is constructed by reading the lengths of groups of 1s and 2s as specified by the terms of the sequence itself. The construction process goes as follows: 1. Start with the initial term: \( 1 \).

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