Control theory is an interdisciplinary branch of engineering and mathematics that deals with the behavior of dynamic systems. It focuses on the design and implementation of controllers that manage the system's behavior to achieve desired objectives. Control theory is used in various applications, including aerospace, automotive, robotics, manufacturing, and process control. At its core, control theory strives to develop mathematical models of systems and to analyze their behavior over time.
Broad Fourteens is a term often associated with a specific type of chord in jazz and contemporary music, typically referring to a dominant seventh chord with an added altered 13th. The term "Broad Fourteens" may also be used more generally to describe certain harmonic structures or concepts related to jazz harmony. In terms of music theory, a "broad" application could mean that the analysis or usage extends beyond a strict definition, allowing for creative interpretations.
Surender Kumar Malik, as of my last knowledge update in October 2021, is a known figure in Indian politics and is associated with the Indian National Congress party. However, there might be a lack of widely available information regarding his specific roles or contributions beyond this general association. Please note that developments regarding individuals may occur, including changes in roles, status, or public perception.
As of my last update in October 2023, Lisa Lix is a brand that specializes in creating a variety of lifestyle products, particularly focusing on innovative drinkware. Their offerings often include reusable cups, bottles, and other containers designed to be environmentally friendly and stylish. The products typically emphasize sustainability, functionality, and aesthetic appeal, catering to customers who value both practicality and design in their daily lives.
The Multi-fragment algorithm, also known as the Multi-fragment approach, is primarily associated with computer graphics and image processing, though the specific context can vary. Here’s a general overview: ### In Computer Graphics: In the context of rendering images, the Multi-fragment algorithm can refer to techniques used to handle visibility and shading calculations for overlapping surfaces.
Nuclear energy policies vary significantly from country to country, shaped by factors such as energy needs, environmental concerns, political climates, public opinion, and technological capabilities. Here’s an overview of nuclear energy policies in several key countries: ### 1. **United States** - **Current Status**: The U.S. has the largest nuclear power fleet in the world, with 93 commercial reactors.
"Variations on a Theme by Paganini" is a notable composition by Polish composer Witold Lutosławski, written in 1941. The piece is structured as a set of variations based on a well-known theme from Niccolò Paganini's 24th Caprice for solo violin. Lutosławski's work is notable for its innovative use of variation form, blending elements of traditional classical music with modernist techniques.
The Three Non-Nuclear Principles refer to Japan's policy regarding nuclear weapons. Established in the 1960s, these principles dictate that Japan will not possess, produce, or permit the introduction of nuclear weapons into its territory. The principles are as follows: 1. **Not possess nuclear weapons**: Japan has chosen to not develop nuclear weapons and maintain a policy against their possession.
A Salem number is a type of algebraic integer that is defined as a root of a polynomial with integer coefficients, where the polynomial has a degree of at least 2, and at least one of its roots lies outside the unit circle in the complex plane. Specifically, a Salem number is a real number greater than 1, and all of its other Galois conjugates (roots) are located inside or on the unit circle.
The Nuclear Institute for Food and Agriculture (NIFA) is a research organization that focuses on applying nuclear science and technology to enhance agricultural productivity, food safety, and food security. Typically, institutions like NIFA engage in a range of activities including research on plant breeding, pest control, and soil management, as well as the development of nuclear techniques for food preservation and safety testing.
IThemba LABS (Institute of Theoretical and Physical Sciences) is a research facility located in South Africa that focuses on nuclear physics and related fields. It is part of the broader scientific landscape in the country and operates under the auspices of the National Research Foundation (NRF). The laboratory specializes in various areas, including particle and nuclear physics, radiation protection, and the development of medical applications for nuclear technology.
In the context of nuclear engineering, "RABBIT" typically refers to a specific experimental facility or methodology rather than a widely recognized acronym. One common reference is to the "RABBIT" (Reactor Antineutrino Behavior and Baryon Interactions with Targets) program, which involves studies related to antineutrinos and particle behavior in reactor environments.
Andrew Sutherland is a mathematician known for his work in number theory and algebraic geometry, particularly in the area of computational number theory. He is an associate professor at the Massachusetts Institute of Technology (MIT) and has contributed to various topics, including elliptic curves, modular forms, and algorithms for computing in number fields. Sutherland is also recognized for his involvement in educational initiatives and for creating tools that aid in mathematical research and exploration.
Derrick Norman Lehmer (1905-1997) was an American mathematician and a prominent figure in number theory and computational mathematics. He is best known for his work in the field of prime numbers and for developing algorithms and techniques for integer factorization. Lehmer contributed significantly to the use of computers in mathematics, particularly in the verification of large prime numbers. One of his notable contributions is the Lehmer sieve, a generalization of the classical sieve methods used to find prime numbers.
In mathematics, a square-free element is an integer or a polynomial that is not divisible by the square of any prime number (in the case of integers) or not divisible by the square of any irreducible polynomial (in the case of polynomials). ### For Integers: An integer \( n \) is square-free if there is no prime \( p \) such that \( p^2 \) divides \( n \).
Wind fetch refers to the distance over water that the wind blows in a consistent direction without any significant obstruction. It is an important concept in meteorology and oceanography, as it affects the size and energy of ocean waves. The longer the fetch, the more energy waves can gain, leading to larger and more powerful waves when the wind blows steadily over a long distance.

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 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