The rigid-band model is a concept used in solid-state physics to describe the electronic band structure of materials, particularly in the context of semiconductors and insulators. The model simplifies the understanding of how the energy levels of electrons in a material change with variations in doping, temperature, or other external influences.
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.
Charged current refers to the type of current that is associated with the weak nuclear force, one of the four fundamental forces in physics. In the context of particle physics, charged currents are involved in interactions that change the type (or flavor) of particles, such as transforming a neutron into a proton or an electron into a neutrino. In weak interactions, charged currents are mediated by the exchange of W bosons (specifically, the W+ and W- bosons).
Custodial symmetry is a concept in theoretical physics, particularly in the context of particle physics and the Standard Model, that refers to a specific type of symmetry aimed at understanding the relationships between different particles and their interactions, specifically in the context of the electroweak sector. In the Standard Model, the Higgs mechanism provides mass to the W and Z bosons via the Higgs field.
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.
An algebraic expression is a combination of numbers, variables (letters that represent unknown values), and arithmetic operations (such as addition, subtraction, multiplication, and division). Algebraic expressions do not include equality signs (like equations do).
The Glashow resonance is a phenomenon related to neutrino interactions, particularly concerning the interactions of ultra-high-energy neutrinos with matter. It was proposed by theoretical physicist Sheldon Glashow in 1960. The resonance occurs when a neutrino with an energy of about 6.3 billion electron volts (GeV) interacts with the electromagnetic field of a nucleus, such as iron, to produce a specific intermediate particle known as a W boson.
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.
A "World file" refers to a supporting file used in GIS (Geographic Information Systems) and mapping applications to provide georeferencing information for raster image files, such as satellite images or scanned maps. It contains metadata that helps software to correctly position and scale the raster image in relation to real-world coordinates. World files typically have a specific file extension, which corresponds to the format of the raster image they accompany. Common extensions include: - `.
A self-sealing suction cup is a type of suction cup that features a design allowing it to create a vacuum seal automatically when pressed against a smooth surface. This makes them convenient and effective for holding objects without the need for additional tools or mechanisms. The key characteristics of self-sealing suction cups include: 1. **Automatic Seal**: When the cup is pressed against a surface, the air inside is expelled, creating a vacuum that holds the cup in place.
A sphaleron is a theoretical concept in particle physics that refers to a type of non-perturbative solution to the equations of the Standard Model, particularly in the context of electroweak theory. The term "sphaleron" is derived from the Greek word "sphaleo," meaning "to fall" or "to topple," which reflects its property of being a saddle point in the energy landscape of field configurations.
Huffman coding is a widely used method for data compression that assigns variable-length codes to input characters, with shorter codes assigned to more frequently occurring characters. The technique was developed by David A. Huffman in 1952 and forms the basis of efficient lossless data encoding. ### How Huffman Coding Works 1. **Frequency Analysis**: First, the algorithm counts the frequency of each character in the given input data.
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.
An algebraic fraction is a fraction in which the numerator and/or the denominator are algebraic expressions. An algebraic expression is an expression that can include numbers, variables (like \(x\) or \(y\)), and algebraic operations such as addition, subtraction, multiplication, and division. For example, the following are algebraic fractions: 1. \(\frac{x^2 + 2x + 1}{x - 1}\) 2.
This is the discrete logarithm problem where the group is a cyclic group.
In this case, the problem becomes equivalent to reversing modular exponentiation.
This computational problem forms the basis for Diffie-Hellman key exchange, because modular exponentiation can be efficiently computed, but no known way exists to efficiently compute the reverse function.
Big O notation family by Ciro Santilli 37 Updated 2025-07-16
This is a family of notations related to the big O notation. A good mnemonic summary of all notations would be:

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