The SIAM Journal on Matrix Analysis and Applications (SIMA) is a scholarly journal published by the Society for Industrial and Applied Mathematics (SIAM). It focuses on research related to matrix theory and its applications in various fields, including numerical analysis, optimization, statistics, and engineering. The journal publishes original research articles that cover a wide range of topics related to matrices, including but not limited to matrix computations, matrix algorithms, and theoretical advancements.
Skewness is a statistical measure that describes the asymmetry of a distribution. It indicates the direction and degree of distortion from the symmetrical bell curve of a normal distribution. In essence, skewness quantifies how much the distribution leans to one side compared to the other. There are three types of skewness: 1. **Positive Skewness (Right Skewness)**: In this case, the tail on the right side of the distribution is longer or fatter than the left side.
"The Analyst, or Mathematical Museum" is a work by the English mathematician and philosopher George Berkeley, published in 1734. In this text, Berkeley critiques the foundational concepts of calculus as developed by his contemporaries, particularly focusing on the notions of infinitesimals and limits. The work is structured in the form of an imaginary museum where mathematical ideas are on display. Berkeley's primary argument is that many of the mathematical practices, particularly those involving infinitesimal quantities, lacked rigor and clarity.
Neo-Riemannian theory is a branch of music theory that focuses on the analysis of harmony and chord progressions through a system of relationships derived from the work of the 19th-century music theorist Hugo Riemann. It is particularly concerned with the transformations between chords and how these transformations can elucidate musical structure, especially in tonal music.
Boids is a simulation model created by computer scientist Craig Reynolds in 1986 to mimic the flocking behavior of birds. The term "Boids" is derived from "birds" and refers to autonomous agents that follow simple rules to simulate realistic flocking behavior. The original Boids algorithm uses three basic rules for each individual "boid": 1. **Separation**: Boids try to maintain a certain distance from each other to avoid crowding and collisions.
The Born–von Karman boundary condition is a mathematical technique used in solid state physics, particularly in the study of periodic systems such as crystals. This condition is employed to simplify the analysis of wave phenomena in materials by imposing periodic boundary conditions on a finite-sized sample, effectively allowing it to be treated as if it were infinite. ### Key Features of Born–von Karman Boundary Condition: 1. **Periodic Boundary Conditions**: The condition assumes that the material is infinitely periodic.
Max Born was a prominent physicist and mathematician who made significant contributions to quantum mechanics and theoretical physics. Various concepts, theorems, and entities in science and mathematics have been named in his honor. Here is a list of notable things named after Max Born: 1. **Born Rule**: A fundamental principle in quantum mechanics that gives the probability of obtaining a particular measurement outcome.
A multi-function structure refers to a type of architectural or organizational design that serves multiple purposes or functions within a single entity, building, or system. This concept can be applied across various fields, including architecture, engineering, urban planning, and even organizational structure.
Mechanical singularity refers to a situation in mechanical systems where the behavior of the system becomes undefined or problematic due to the configuration of the system's components. This concept is particularly relevant in robotics and mechanisms, where singularities can affect the movement and control of machines. In mathematical terms, a singularity typically occurs when the determinant of a Jacobian matrix becomes zero. In the context of robotic arms or manipulators, this can happen when the arm is positioned such that it loses degrees of freedom.
Tip clearance refers to the distance between the tip of a rotating blade (such as a fan, propeller, or turbine blade) and the surrounding casing or other components. This clearance is crucial for the efficient operation of the device, as it affects airflow, performance, and the potential for blade contact with surrounding structures.
Hot-carrier injection (HCI) is a phenomenon that occurs in semiconductor devices, primarily in metal-oxide-semiconductor field-effect transistors (MOSFETs). It involves the injection of high-energy "hot" carriers—typically electrons or holes—into the gate oxide of a MOSFET or other regions of the semiconductor device. This typically happens when the device is operating at high voltages and/or high temperatures.
The Pyraminx Crystal is a type of twisty puzzle that is a variation of the Pyraminx, a popular tetrahedron-shaped puzzle. The Pyraminx Crystal has a more complex geometric design, consisting of a larger number of smaller faces compared to the original Pyraminx. It is often characterized by its crystal-like appearance and intricate movement mechanics.
Nuclear medicine is a specialized field of medical imaging and therapy that utilizes radioactive materials, or radiopharmaceuticals, for diagnosis and treatment of various health conditions. It involves the use of small amounts of radioactive substances to carry out imaging and therapeutic procedures. ### Diagnostic Uses In diagnostic applications, nuclear medicine techniques can visualize the function of organs and tissues.
"Beam's eye view" is a term often used in relation to photography and cinematography to describe a perspective that mimics the viewpoint of a beam of light or a laser beam, typically emphasizing the direct line of sight from the beam's origin to its target. This concept can be applied in various contexts, such as highlighting how light interacts with objects in its path, creating dramatic visual effects or emphasizing perspectives in storytelling.
Planarity refers to the property of a graph that can be drawn on a plane without any edges crossing each other. In graph theory, a graph is considered planar if there exists a drawing of the graph in the plane such that no two edges intersect except at their endpoints (vertices).
Ionic Coulomb blockade refers to a transport phenomenon observed in systems where ionic charge carriers (such as ions in an electrolyte) are confined within a nanoscale system, often resembling the more widely studied electronic Coulomb blockade observed in mesoscopic systems. In the typical electronic Coulomb blockade, the conduction of electrons through quantum dots or small conductive islands is inhibited when the energy required to add an extra electron to the island exceeds the available thermal energy.
In philosophy, the concept of identity refers to the characteristics, properties, and relations that make an entity or individual distinct from others and consistent over time. The discussion of identity encompasses various branches of philosophy, including metaphysics, epistemology, ethics, and social philosophy. Here are some key aspects and themes related to identity in philosophical discourse: 1. **Personal Identity**: This aspect deals with what it means for a person to be the same individual over time.
Meteorology is the scientific study of the atmosphere and its phenomena, particularly focusing on weather and climate. The field of meteorology encompasses various branches, each specializing in different aspects of atmospheric study and its applications. Here are some of the key branches of meteorology: 1. **Dynamic Meteorology**: This branch deals with the motion of the atmosphere and the physical laws governing atmospheric dynamics. It often involves the study of weather systems, cyclone formation, and atmospheric circulation patterns.

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