Rosser's equation refers to a specific mathematical formulation in physics that describes the behavior of certain types of systems. One of the most notable contexts for Rosser's work is in the field of fluid dynamics and chaos theory, particularly in the context of non-linear dynamical systems. In a more specific case, Rosser's equation is associated with the study of the dynamics of rotating fluids and can be involved in models related to turbulence and the behavior of complex systems.
A Rugate filter is an advanced type of optical filter used in various applications, particularly in the fields of telecommunications, optics, and photonics. Its defining feature is that it utilizes a gradation in refractive index, often achieved through a specific multilayer structure that can be designed to reflect or transmit light over a wide range of wavelengths.
A waveguide in the context of radio frequency (RF) is a structure that guides electromagnetic waves, typically in the microwave or millimeter-wave frequency ranges. Waveguides can take various forms, including rectangular or cylindrical tubes, and they serve as conduits for transmitting electromagnetic energy from one point to another with minimal loss.
The terms "direct band gap" and "indirect band gap" refer to the nature of electronic transitions between the valence band and conduction band in semiconductors and insulators. These concepts are crucial for understanding the optical and electronic properties of materials, especially in the context of their use in electronic and optoelectronic devices.
The Empty Lattice Approximation (ELA) is a theoretical model used in solid-state physics and condensed matter physics to simplify the understanding of electron behavior in a periodic lattice structure, such as a crystal. In this approximation, the effects of the lattice potential are neglected, and the electrons are treated as if they are free particles moving in an "empty" space, without interacting with the periodic potential created by the lattice ions.
The Nearly Free Electron Model (NFEM) is a theoretical framework used in solid-state physics to describe the electronic properties of metals and some semiconductors. This model extends the free electron model, which treats electrons in a solid as if they were free particles moving in three-dimensional space without any potential energy influence from the atomic lattice of the solid.
The weak interaction, also known as the weak nuclear force or weak force, is one of the four fundamental forces of nature, alongside the strong interaction, electromagnetic force, and gravity. The weak interaction is responsible for several key processes in particle physics, particularly those involving the transformation of subatomic particles. Key characteristics of the weak interaction include: 1. **Range and Strength**: The weak force has a very short range, typically on the order of 0.
The electroweak interaction is one of the four fundamental forces of nature, alongside gravitational, electromagnetic, and strong nuclear forces. It is a unification of two fundamental forces: the electromagnetic force and the weak nuclear force. This theoretical framework was developed in the 1970s and is a key aspect of the Standard Model of particle physics.
Michel parameters refer to a set of measurements used in particle physics, specifically in the study of the decay of polarized muons. They are named after the physicist Alain Michel, who contributed to the understanding of muon decay processes. The Michel parameters help describe the angular distribution and the polarization of the decay products resulting from the decay of polarized muons into electrons and neutrinos.
The Weakless universe is a fictional setting created for the video game "Weakless," developed by K ARTS. In this universe, the story centers around two characters, a Weaver and a Glider, who represent different aspects of life and existence within a world devoid of sound—hence the term "Weakless." The gameplay typically involves solving puzzles and navigating through environments that reflect the unique characteristics of this soundless world.
Unary operations are operations that involve only one operand. In mathematics and programming, a unary operation takes a single input and performs a specific computation or transformation on it. Common examples of unary operations include: 1. **Negation (-)**: This operation takes a number and changes its sign. For example, applying negation to the number 5 results in -5. 2. **Square (x²)**: This operation takes a number and squares it.
A negative number is a number that is less than zero. In the number line, negative numbers are located to the left of zero. They are represented with a minus sign (−) in front of them. For example, -1, -2.5, and -10 are all negative numbers. Negative numbers are used in various contexts, such as: 1. **Mathematics**: They represent values below a certain reference point, often zero.
Angular diameter (or angular size) is a measure of how large an object appears to an observer, expressed as an angle. It is typically measured in degrees, arcminutes, or arcseconds. Angular diameter is important in fields such as astronomy, where it helps to describe the apparent size of celestial objects (like stars, planets, and galaxies) from a specific point of view, typically from Earth or another observation point.
Constance Tipper was a notable British scientist and engineer, recognized primarily for her contributions to materials science, particularly in the field of metallurgical engineering and fracture mechanics. She played a significant role in researching the properties of metals and how they behave under stress, which has applications in various engineering fields. Tipper's work is particularly well-regarded for its impact on understanding the mechanisms of failure in materials, which is crucial for the safety and reliability of structures and components in engineering.
Elementary shapes, often referred to as basic or fundamental shapes, are the simplest geometric figures used in mathematics and design. They serve as the foundation for more complex shapes and structures. Some common examples of elementary shapes include: 1. **Point**: A precise location in a space with no dimensions (length, width, or height). 2. **Line**: A straight path that extends infinitely in both directions and has no thickness. It is defined by two points.
A golden rectangle is a specific type of rectangle that has a unique property: the ratio of its longer side to its shorter side is the golden ratio, which is approximately 1.6180339887. Mathematically, if \(a\) is the length of the longer side and \(b\) is the length of the shorter side, then the golden rectangle satisfies the following relationship: \[ \frac{a}{b} = \phi \approx 1.
An **inscribed sphere**, also known as an in-sphere or inscribed ball, is a sphere that is contained within a three-dimensional geometric object such that it is tangent to the surface of that object at all points. The center of the inscribed sphere is typically called the incenter.
The term "midpoint" can refer to different concepts depending on the context. Here are a few common uses of the term: 1. **Mathematics**: In geometry, the midpoint is the point that is exactly halfway between two endpoints of a line segment.

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