A non-linear sigma model is a type of quantum field theory that describes fields taking values in a target manifold, typically a curved space. These models are particularly important in theoretical physics and have applications in various areas, such as condensed matter physics, high-energy particle physics, and statistical mechanics.
The Rarita-Schwinger equation is a fundamental equation in theoretical physics that describes particles with spin 3/2, which are often referred to as "Rarita-Schwinger fields." It generalizes the Dirac equation, which describes spin-1/2 particles like electrons, to account for higher-spin fermionic fields. The equation is named after physicists Walter Rarita and Julian Schwinger, who introduced it in 1941.
Relativistic quantum mechanics is a field that combines the principles of quantum mechanics, which describes the behavior of particles at very small scales, with the principles of special relativity, which describes the behavior of objects moving at speeds comparable to the speed of light. The goal of relativistic quantum mechanics is to create a framework that can accurately describe particles and their interactions while accounting for relativistic effects. ### Key Features 1.
Ruppeiner geometry is a geometric framework applied in the context of thermodynamics and black hole thermodynamics to analyze the properties of thermodynamic systems. It is named after George Ruppeiner, who introduced this approach in the 1990s. In this framework, the properties of a thermodynamic system are represented as a geometric structure, where thermodynamic state variables are treated as coordinates on a manifold.
Supersymmetry (SUSY) algebras are extensions of the Poincaré algebra that include fermionic generators, which act on bosonic and fermionic states. In 1+1 dimensions, the structure of supersymmetry algebras is somewhat simplified compared to higher dimensions.
Symmetry-protected topological order (SPT order) is a concept in condensed matter physics and quantum many-body systems that describes certain phases of matter. These phases are characterized by long-range quantum entanglement and unusual global properties, and they exist in a manner that is robust against local perturbations, as long as certain symmetries are preserved.
The WKB approximation, short for the Wentzel-Kramers-Brillouin approximation, is a mathematical technique used primarily in quantum mechanics to find approximate solutions to the Schrödinger equation in the semiclassical limit, where quantum effects can be approximated by classical trajectories. The WKB method arises when studying quantum systems with a potential that varies slowly compared to the wavelength of the particle.
INTLAB is a software package designed for the rigorous and verified numerical computation of mathematical problems. It is specifically aimed at interval arithmetic, a technique used to handle uncertainties and errors that arise in numerical calculations. By using intervals to represent ranges of values, INTLAB allows for more reliable results compared to traditional floating-point arithmetic.
Hypertension, commonly known as high blood pressure, is a medical condition characterized by the elevated force of blood against the walls of the arteries. Blood pressure is typically expressed in millimeters of mercury (mmHg) and is recorded with two measurements: systolic and diastolic pressure. - **Systolic pressure** is the higher number, representing the pressure in the arteries when the heart beats and pumps blood.
Portal venous pressure refers to the pressure within the portal vein and its tributaries, which carry blood from the gastrointestinal tract and spleen to the liver. This pressure is an important aspect of the hepatic vascular system and is typically measured in millimeters of mercury (mmHg). Normal portal venous pressure is usually around 5 to 10 mmHg.
Segmental blood pressure refers to the measurement of blood pressure at different segments of the body, particularly in the limbs. It is commonly used in the context of evaluating blood flow and detecting vascular disease, particularly peripheral artery disease (PAD). This method involves measuring the blood pressure in the arms and legs to assess the circulation in those areas.
Casting out nines is a mathematical technique used primarily for error detection in arithmetic calculations, especially addition and multiplication. The method relies on the concept of modular arithmetic, specifically modulo 9. The basic idea is to reduce numbers into a single-digit form called a "digit sum" or "reduced digit" by repeatedly adding the digits of a number until a single digit is obtained. This final digit, known as the "digital root," can be used to verify calculations.
A diffusion model is a type of probabilistic model used to describe the spread of information, behaviors, or innovations through a population over time. It essentially captures how new ideas or technologies become adopted and diffused among individuals within a social network or community. Diffusion models have applications in various fields, such as marketing, sociology, epidemiology, and physics.
Blue-cone monochromacy (BCM) is a rare genetic condition that affects color vision. It is a type of cone monochromacy, a form of color vision deficiency where only one type of cone photoreceptor is functioning. In the case of blue-cone monochromacy, individuals primarily have functional short-wavelength-sensitive cones, or blue cones, while the long-wavelength-sensitive cones (red) and medium-wavelength-sensitive cones (green) are absent or non-functional.
A light beam is a stream of light particles, or photons, that travel in a specific direction. This phenomenon is often described in terms of optics and physics. Light beams can vary widely in terms of their intensity, wavelength (color), and coherence. Here are a few key characteristics of light beams: 1. **Directionality**: A light beam typically travels in a straight line. This is particularly true in a vacuum or in a homogeneous medium where there are no obstacles.
NGC 7822 is an emission nebula located in the constellation Cepheus. It is part of a larger molecular cloud complex and is associated with active star formation. The nebula is about 3,000 light-years away from Earth and spans approximately 6 light-years across. NGC 7822 contains several young, hot stars that ionize the surrounding gas and dust, creating the characteristic glow of an emission nebula.
The term "retinal mosaic" can have a couple of interpretations depending on the context, but it generally refers to the organization or arrangement of retinal cells in a way that can resemble a mosaic pattern. 1. **Retinal Cells and Tiling**: In the context of retinal structure, the term can describe the spatial arrangement of different types of retinal neurons, such as photoreceptors, bipolar cells, and ganglion cells.

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