Mortar methods typically refer to techniques used in various fields such as construction, masonry, and computing (specifically in relation to certain algorithms). However, without additional context, it is challenging to pinpoint exactly which aspect you're referring to. 1. **Construction and Masonry**: In construction and masonry, mortar methods refer to the techniques and types of mortar used to bond bricks, stones, or other masonry units together.
The Pearcey integral is a special function that arises in the study of problems in optics and wave propagation, particularly in the context of diffraction patterns. It is associated with diffraction phenomena and is particularly relevant to situations involving oscillatory integrals.
The SYZ conjecture, named after mathematicians Shing-Tung Yau, Richard S. Palais, and Andrew Strominger, is a conjecture in the field of mirror symmetry and algebraic geometry. Specifically, it pertains to the relationship between Calabi-Yau manifolds and their mirror pairs.
The Seneca Effect is a concept that describes how complex systems tend to collapse or decline rapidly after a period of growth or stability, despite often showing a more gradual rise. Named after the Stoic philosopher Seneca the Younger, who famously stated, "It is not how we make mistakes, but how we correct them that defines us," the term is often used in discussions of economics, environmental science, and social dynamics. The Seneca Effect highlights the asymmetrical nature of growth and decline in systems.
The history of computer clusters is a fascinating journey through the evolution of computing technology, driven by the need for performance, reliability, and scalability. Here’s an overview of key milestones in the development of computer clusters: ### Early Days (1960s-1970s) - **Time-Sharing Systems**: In the early days of computing, mainframe computers were the standard. These systems used time-sharing techniques to allow multiple users to share resources.
The history of computer hardware in Yugoslavia is a fascinating aspect of the broader narrative of technological development in Eastern Europe during the 20th century. It reflects the unique socio-political context of Yugoslavia, which was a socialist federation comprising six republics and two autonomous provinces from 1945 until its dissolution in the early 1990s.
Wave maps are a mathematical generalization of classical wave equations that take into account the geometry of the target space into which the wave is mapping. The wave map equation describes the evolution of fields that take values in a Riemannian manifold (the target space) from a spacetime (the source space), often described in terms of time and spatial dimensions.
Dany Leviatan is not a widely recognized term or figure in popular culture, history, or other common references as of my last knowledge update in October 2023. It is possible that the name could refer to a specific individual, character in a story, or a concept that has arisen after that date or is used in a specialized context.
Empirical probability, also known as experimental probability, is a type of probability that is determined through direct observation or experimentation rather than theoretical calculations. It is based on the actual outcomes of an experiment or real-world situation, rather than relying on pre-existing mathematical models or assumptions.
The history of supercomputing is marked by the evolution of computing technology over several decades, beginning in the 1960s and continuing to the present day. Supercomputers are powerful machines designed to perform complex calculations at incredibly high speeds, and they are often utilized in fields such as scientific research, weather forecasting, climate modeling, and complex simulations.
The "spectrum of theistic probability" is not a widely recognized term in philosophical or theological discourse, but it can generally refer to the range of beliefs regarding the existence of a deity or deities, along with their implications for reality. This concept can be visualized as a continuum that includes various positions on the belief in God or gods.
The Cranfield experiments refer to a series of information retrieval experiments conducted at Cranfield University in the United Kingdom during the 1960s. These experiments were foundational in the development of modern information retrieval systems and methodologies used to evaluate the effectiveness of information retrieval processes. The key aspects of the Cranfield experiments include: 1. **Evaluation of Retrieval Systems**: The experiments were designed to assess various information retrieval techniques and systems by using a structured methodology.
The statistical study of energy data involves the application of statistical methods and techniques to analyze, interpret, and draw conclusions from data related to energy production, consumption, distribution, and efficiency. Here are some key aspects of this field: 1. **Data Collection**: This involves gathering quantitative and qualitative data from various sources such as energy companies, government agencies, smart meters, and surveys. Data can include electricity usage, fuel prices, renewable energy production, and more.
A Kaprekar number is a special kind of number in recreational number theory. A non-negative integer \( n \) is called a Kaprekar number if the following condition holds: 1. Square the number \( n \) (calculating \( n^2 \)). 2. Split the resulting square into two parts: the right part containing \( d \) digits (where \( d \) is the number of digits in \( n \)), and the left part containing the remaining digits.
A **Perfect Digital Invariant (PDI)** is a concept often discussed in the field of cryptography and computer security, particularly in relation to password storage and authentication processes. In a general sense, a PDI refers to a transformation of sensitive information (like a password) such that it remains secure even when it undergoes a number of operations. This concept exemplifies the principle that, despite the operations applied, the invariant retains certain properties that make the original information difficult to derive or reconstruct.
"Arrangements of classical compositions" refers to the process of adapting and altering existing classical music works to be performed by different instruments, ensembles, or in different styles. This can include transcribing music for instruments that the original composer did not intend, modifying the piece to suit the abilities of a specific performer, or reimagining it for a modern audience.
Musical settings of poems refer to the practice of composers setting the text of poems to music, transforming the written word into a musical performance. This can include a wide variety of forms, such as art songs (like lieder), choral settings, operatic arias, and even popular music adaptations. When a composer chooses a specific poem, they take into account the poem's themes, emotions, and rhythms, which can significantly influence the musical composition.
A "cover version" refers to a new recording of a song that was originally written and performed by another artist. When an artist creates a cover, they typically reinterpret the song, which can involve changes in style, arrangement, and even lyrics, although the core composition remains the same. Covers can vary widely in their fidelity to the original. Some are very close reproductions, while others may take significant creative liberties, transforming the song into a different genre or style.

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