The Linear Transform Model in the context of MRI (Magnetic Resonance Imaging) generally refers to mathematical models used for image acquisition, reconstruction, and processing. MRI employs complex physical principles of nuclear magnetic resonance to generate images of the inside of the body. The Linear Transform Model specifically deals with how the raw data (often called k-space data) is transformed into the final images and how various linear transformations can be employed to enhance image quality or reconstruct images from the acquired data.
Linguistic anthropology is a subfield of anthropology that studies the relationship between language and culture. It explores how language influences social life, shapes cultural identities, and reflects societal structures. Linguistic anthropologists examine various aspects of language, including its use in different contexts, its role in shaping thought and perception, and how it varies across different cultures and communities.
Linn F. Mollenauer is a notable figure in the field of optics and photonics, particularly known for his contributions to fiber optics and nonlinear optics. He has worked extensively on optical communication techniques and has authored numerous research papers in these areas. Mollenauer's work has played a significant role in advancing the technology that underpins fiber optic communication systems, which are crucial for modern telecommunications infrastructure.
The Lin–Tsien equation is a mathematical formula that is used in the field of fluid mechanics and aerodynamics. It describes the relationship between pressure and temperature variations in a compressible flow, particularly in the study of shock waves and expansions in gases. The equation helps to analyze the behavior of gases under varying conditions of temperature and pressure, which is particularly important in the design and analysis of aircraft, rockets, and other systems involving high-speed flows.
A "List of artillery" typically refers to a compilation or catalog of different types of artillery pieces used throughout history. Artillery refers to large-caliber guns used in warfare on land, such as cannons, howitzers, mortars, and rocket artillery, among others. The list may be categorized by various criteria, including: 1. **Type of Artillery**: - **Cannons**: Traditional artillery pieces, often used for direct fire.
The List of Nuclear Power Accidents by Country includes notable incidents of nuclear accidents and radiological events that occurred at nuclear power plants or facilities. Here is a summary of key events categorized by country: ### 1. **United States** - **Three Mile Island (1979)**: A partial meltdown at the Three Mile Island plant in Pennsylvania, resulting in a release of radioactive gases but no significant health effects.
Takadai, often referred to as Takadai-jutsu, is a form of martial arts that originated in Japan, focusing on the use of a variety of weapons, including the staff (bo), sword (katana), and grappling techniques. The name "Takadai" translates to "high platform" in English, reflecting the elevated techniques and routines practiced in this martial art.
In topology, the "long line" is an example of a specific type of topological space that extends the notion of the real line \(\mathbb{R}\) in a unique way. It is constructed to illustrate properties that are distinct from those of \(\mathbb{R}\).
Lou Bloomfield is a prominent physicist and professor at the University of Virginia, known for his work in the field of physics education and his contributions to various areas of physics research. He has authored several textbooks and resources aimed at improving understanding of physics concepts, particularly for students. In addition to his academic work, Bloomfield is known for engaging presentations and efforts to popularize physics through public lectures and outreach.
Madhava's sine table is an ancient mathematical table created by the Indian mathematician Madhava of Sangamagrama, who lived during the late 14th and early 15th centuries. It is known for being one of the first systematic tabulations of sine values for various angles. Madhava's methodology involved calculating the sine of angles as a series expansion, similar to what we now understand as Taylor or Maclaurin series.
The Magnetic Tower of Hanoi is a variant of the classic Tower of Hanoi puzzle, which has been a popular mathematical and recreational challenge since it was introduced by the French mathematician Édouard Lucas in 1883. In the standard Tower of Hanoi, the puzzle consists of three rods and a number of disks of different sizes that can slide onto any rod.
The magnetoelectric effect is a phenomenon in which a material can exhibit electric polarization in response to an applied magnetic field, or conversely, a change in magnetization in response to an applied electric field. This coupling between magnetic and electric orders is found in certain materials and is of significant interest in fields such as condensed matter physics, materials science, and potential applications in spintronics and information technology.
Mahler's inequality is a result in the field of functional analysis, particularly in relation to the norms of sequences and the behavior of sums in certain mathematical spaces.
The Major Baltic Inflow (MBI) refers to significant inflows of relatively salty and oxygen-rich water from the North Sea into the Baltic Sea. This phenomenon occurs when conditions are favorable, such as during periods of strong winds or specific meteorological situations that lead to higher sea levels in the North Sea compared to the Baltic Sea.
"Malignant: How Cancer Becomes Us" is a book written by Dr. Siddhartha Mukherjee, published in 2020. The book explores the complexities of cancer, delving into its biology, history, and the personal and societal implications of the disease. Dr. Mukherjee, an oncologist and researcher, uses a narrative approach to discuss how cancer cells evolve and spread, drawing parallels between the disease's behavior and human experiences.
Manfred R. Schroeder is a prominent figure in the fields of acoustics and signal processing. He is well-known for his contributions to the understanding of sound and its applications, particularly in areas such as room acoustics and audio technology. He has authored several influential books and papers on these topics, including works on wave propagation, sound perception, and various acoustic models.
Marian Smoluchowski was a Polish physicist known for his significant contributions to statistical mechanics and the study of Brownian motion. Born on March 28, 1872, in Warsaw, Poland, and later working in a variety of academic institutions, he made important advancements in understanding the behavior of particles in fluids and the foundation of kinetic theory.
Mário Schenberg (1914–1990) was a Brazilian artist, art critic, and educator known for his significant contributions to the fields of art and culture in Brazil. He was a prominent figure in the modernist movement and worked in various media, including painting, sculpture, and installation art. Schenberg was also involved in theoretical writings about art, where he explored concepts related to modernism, expressionism, and the role of art in society.
The Martin diameter, also referred to as the diameter of a set in mathematical contexts, is a concept used primarily in metric spaces. Specifically, it is defined as the greatest distance between any two points within a certain subset of a metric space.

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