A quatrain is a stanza or a poem consisting of four lines, often with a specific rhyme scheme. Common rhyme schemes for quatrains include ABAB, AABB, ABBA, and ABCB. Quatrains can be found in a variety of poetic forms and traditions, and they are often employed in lyrical poetry, ballads, and sonnets. The structure allows for a concise exploration of ideas, emotions, or narratives, making it a popular choice among poets.
Erich Schmid (1918–2019) was an Austrian-American physicist known for his significant contributions to the field of materials science, particularly in the understanding of plasticity and the mechanical properties of materials. He is well recognized for the Schmid Law, which describes the conditions under which slip occurs in crystalline materials. Schmid's work laid the foundation for understanding how materials deform under stress, which has implications for a wide range of applications, including metallurgy and engineering.
Euclidean space is a fundamental concept in mathematics and geometry that describes a two-dimensional or higher-dimensional space where the familiar geometric and algebraic properties of Euclidean geometry apply. It is named after the ancient Greek mathematician Euclid, whose work laid the foundations for geometry. Here are some key characteristics of Euclidean space: 1. **Dimensions**: Euclidean space can exist in any number of dimensions. Commonly referenced dimensions include: - **1-dimensional**: A straight line (e.
The European Federation of Organisations for Medical Physics (EFOMP) is a professional organization that represents the interests of medical physicists across Europe. Established to promote the practice and development of medical physics, EFOMP aims to improve the quality of healthcare through the application of physics and related sciences in medicine. EFOMP serves as a platform for collaboration among national organizations of medical physicists in various European countries.
The evolution of mammalian auditory ossicles is a fascinating aspect of vertebrate anatomy and evolutionary biology that highlights the transformation of structures involved in hearing. The auditory ossicles are a group of three tiny bones in the middle ear of mammals—namely, the malleus, incus, and stapes—that play a crucial role in transmitting sound vibrations from the outer ear to the inner ear.
The Faber-Evans model is a mathematical economic model often referenced in the context of urban economics and land use planning. Developed by economists Paul Faber and David Evans, the model focuses on the relationship between land use, transportation, and urban structure. The model typically addresses how land is allocated between different uses (such as residential, commercial, and industrial) in relation to transportation networks and accessibility.
The fallacy of accent, also known as the fallacy of ambiguity or the fallacy of equivocation, occurs when the meaning of a word or phrase changes based on how it is emphasized or stressed in speech, leading to a distortion or misunderstanding of the argument. This can happen when the same expression can be interpreted in different ways depending on the context or the emphasis placed on certain words. For example, consider the statement, "He didn't steal the money.
FASTQ is a standard file format used for storing biological sequence data, particularly nucleotide sequences from high-throughput sequencing technologies. It is commonly used in genomics and bioinformatics for representing raw sequence reads along with their associated quality scores. A FASTQ file consists of four lines for each sequence entry: 1. **Sequence Identifier Line**: Starts with an "@" symbol followed by a unique identifier for the sequence. It may also include additional information such as the name of the sequencing machine.
Lagrange's theorem in number theory states that every positive integer can be expressed as a sum of four square numbers. This theorem is often associated with Joseph-Louis Lagrange, who proved it in 1770.
In linear algebra, a lemma is a proven statement or proposition that is used as a stepping stone to prove larger or more complex theorems. Lemmas often simplify the process of proving more substantial results by breaking them down into manageable components. Here are a few key points regarding lemmas in linear algebra: 1. **Purpose**: Lemmas are typically used to establish intermediate results that help in the proof of a main theorem.
"Autowave" can refer to a few different things depending on the context. Here are a couple of possible interpretations: 1. **In Chemistry and Physics**: Autowave phenomena, often referred to in the context of nonlinear dynamics and reaction-diffusion systems, describe self-organizing propagating waves in a medium. These autowaves can emerge in chemical reactions, biological systems, and heat transfer processes, among others.
The Cebeci–Smith model is a mathematical model used in fluid dynamics to describe the behavior of turbulent boundary layers, particularly in the context of aerodynamic and hydrodynamic applications. Developed by Cebeci and Smith in the 1970s, this model provides a means for predicting the velocity profile and other characteristics of turbulent flows near the surface of a body, such as an airfoil or a ship’s hull.
Variance-based sensitivity analysis (VBSA) is a method used to evaluate the sensitivity of a model's outputs concerning changes in its input parameters. This approach is particularly valuable in mathematical modeling and simulation, allowing researchers and analysts to understand how variations in input values can affect the overall output of a system.
Geodesics on an ellipsoid refer to the shortest paths between two points on the surface of an ellipsoidal shape, which is a more accurate representation of the Earth's shape than a perfect sphere. The Earth is often modeled as an oblate spheroid (an ellipsoid that is flattened at the poles and bulging at the equator), and geodesics on this surface are important in various fields, such as geodesy, navigation, and cartography.
Equipotential refers to a concept in physics and engineering, particularly in the context of electric fields and gravitational fields. An equipotential surface is a three-dimensional surface on which every point has the same potential energy. ### Key Points about Equipotential Surfaces: 1. **Constant Potential**: On an equipotential surface, the potential difference between any two points is zero.
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.
Confrontation analysis is a problem-solving and decision-making methodology that focuses on identifying and addressing conflicting interests and positions among stakeholders in a given context. This approach is particularly useful in situations where there is competition, debate, or disagreement, such as in politics, business negotiations, social issues, and conflict resolution. Key components of confrontation analysis typically include: 1. **Stakeholder Identification**: Identifying all parties involved and understanding their interests, positions, and power dynamics.

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