Quarto is a strategy board game designed by Swiss game designer Blaise Müller and published by Gigamic. It is known for its simple rules yet deep strategic possibilities. The game is played on a 4x4 board and involves 16 uniquely shaped pieces, each characterized by four attributes: color (light or dark), height (tall or short), shape (round or square), and texture (solid or hollow).
Kelvin functions, also known as cylindrical harmonics or modified Bessel functions of complex order, are special functions that arise in various problems in mathematical physics, particularly in wave propagation, heat conduction, and other areas where cylindrical symmetry is present. They are denoted as \( K_{\nu}(z) \) and \( I_{\nu}(z) \) for the Kelvin functions of the first kind and second kind, respectively.
Zonal spherical harmonics are a specific class of spherical harmonics that depend only on the polar angle (colatitude) and are independent of the azimuthal angle (longitude). They are used in various applications such as geophysics, astronomy, and climate science, often to represent functions on the surface of a sphere.
In the context of mathematics and specifically in the field of number theory, the term "Theta characteristic" often refers to a certain type of characteristic of a Riemann surface or algebraic curve that arises in the study of Abelian functions, Jacobi varieties, and the theory of divisors. 1. **Theta Functions**: Theta characteristics are closely related to theta functions, which are special functions used in various areas of mathematics, including complex analysis and algebraic geometry.
Fan triangulation is a method used in computational geometry, particularly in the field of computer graphics and geographic information systems. The process involves breaking down a polygon (usually a simple polygon) into a set of triangles, which can be more easily processed in various applications such as rendering or spatial analysis. The distinguishing feature of fan triangulation is that it typically starts from a single vertex (the "fan" vertex) and connects it to all other vertices of the polygon, forming a series of triangles.
Point-set triangulation is a computational geometry concept that involves subdividing a set of points into a collection of triangles, typically in a two-dimensional space. This method is essential for various applications in computer graphics, geographic information systems (GIS), finite element analysis, and mesh generation. In point-set triangulation, the key objectives are: 1. **Covering the Point Set**: The triangulation should cover all the points in the given set.
Cederbaum's maximum flow theorem is a specific result in the field of network flow theory. It provides a condition under which the maximum flow in a flow network equals the minimum cut capacity. This theorem can be particularly useful in understanding the limits of flow through networks and in applications across various fields like computer science, operations research, and telecommunications.
Here is a list of notable star systems located within 75 to 80 light-years from Earth: 1. **Gamma^1 Velorum** (also known as Kappa Velorum) - Approximately 75 light-years away, this system consists of two main stars: Gamma^1 Velorum A (an A-type main sequence star) and Gamma^1 Velorum B (a white dwarf). 2. **61 Cygni** - This binary star system lies about 11.
Radiation is the emission and transmission of energy in the form of waves or particles through space or a material medium. It can occur in various forms, and it is generally categorized into two main types: 1. **Ionizing Radiation**: This type of radiation has enough energy to remove tightly bound electrons from atoms, creating ions. It includes: - **Alpha Particles**: Helium nuclei emitted from radioactive materials.
Hydroxyl tagging velocimetry (HTV) is an advanced experimental technique used to measure fluid velocity fields in various fluid dynamics applications. It combines laser-induced fluorescence and tagging methods to visualize and quantify the flow of fluids, particularly in turbulent or complex flows. ### Key Components of Hydroxyl Tagging Velocimetry: 1. **Hydroxyl Tagging**: The method typically involves tagging specific molecules in the fluid with hydroxyl radicals (OH).
Laser Doppler Velocimetry (LDV) is a non-intrusive optical technique used to measure the velocity of fluid flows. It leverages the Doppler effect, which refers to the change in frequency (or wavelength) of light due to the motion of reflective particles within the fluid. ### Key Principles and Components: 1. **Laser Source**: A coherent light source, typically a laser, produces a focused beam of light.
Temperature control refers to the process of maintaining a desired temperature within a defined space or environment. This can be applied in various contexts, such as residential heating and cooling, industrial processes, laboratory settings, and food storage. The methods and systems used for temperature control can vary widely depending on the application and the requirements.
Mean Radiant Temperature (MRT) is a thermal comfort indicator that represents the average temperature of all the surrounding surfaces (walls, ceiling, floor, windows, etc.) that can radiate heat to an occupant in a space. It is measured in degrees Celsius (°C) or Kelvin (K) and is important for assessing the thermal comfort in indoor environments.
Pressure is defined as the force exerted per unit area on a surface. It is a scalar quantity, meaning it has magnitude but no direction. The formula to calculate pressure (P) is: \[ P = \frac{F}{A} \] where: - \( P \) is the pressure, - \( F \) is the force applied, - \( A \) is the area over which the force is distributed.
Richard Sears McCulloh (born 1931) is a notable American mathematician known primarily for his work in functional and harmonic analysis. He has contributed to various fields within mathematics and has been involved in academic teaching and research.
Victor Gustave Robin is a French physician known for his contributions to the field of medicine, particularly in the area of pathology.
The Cheng cycle, also known as the Cheng process, is a thermodynamic cycle that describes the operation of certain types of heat engines and engines designed for specific applications, particularly those involving low-temperature heat sources or waste heat recovery. The cycle includes processes that utilize phase change and often incorporates components such as heat exchangers, compressors, and expanders.
In algebraic geometry, the concept of a *fundamental group scheme* arises as an extension of the classical notion of the fundamental group in topology. It captures the idea of "loop" or "path" structures within a geometric object, such as a variety or more general scheme, but in a way that's suitable for the context of algebraic geometry.
The Nakano vanishing theorem is a result in the field of algebraic geometry, specifically concerning the cohomology of coherent sheaves on projective varieties. It is closely related to the properties of vector bundles and their sections in the context of ample line bundles. The theorem essentially states that certain cohomology groups of coherent sheaves vanish under specific conditions.

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