The term "speed of advance" generally refers to the rate at which a particular front or boundary moves forward over time. It can be used in various contexts: 1. **Military**: In a military context, speed of advance can describe how quickly troops or units are moving toward a target or position. 2. **Engineering and Construction**: In construction, it may refer to the rate at which a project progresses or how quickly work is completed.
The Revelation Principle is a concept in mechanism design, a field of economics and game theory. It states that for any mechanism or system designed to achieve a certain outcome or allocate resources, it is possible to design a direct mechanism (or mechanism with straightforward reporting) that achieves the same outcome when participants report their private information truthfully.
Log reduction is a term often used in microbiology and public health to describe the effectiveness of a decontamination or disinfection process in reducing the number of viable microorganisms, particularly pathogens, on a surface, in a solution, or within a given environment. The term "log" refers to the logarithmic scale, and a "log reduction" quantifies the reduction in the number of organisms in powers of ten.
Poisson's ratio is a measure of the elastic behavior of a material when it is subjected to stress. It is defined as the ratio of the transverse strain (the strain in the direction perpendicular to the applied load) to the axial strain (the strain in the direction of the applied load).
Pollock's conjecture refers to a hypothesis in the field of number theory, specifically relating to the behavior of certain quadratic forms and the representation of integers as sums of squares. It conjectures that there are infinitely many ways to represent prime numbers as sums of two squares, and it was proposed by the mathematician A.B. Pollock.
The Networked Readiness Index (NRI) is a measure developed to assess the degree to which countries leverage information and communication technologies (ICTs) to foster economic growth and social development. It was initially introduced by the World Economic Forum (WEF) as part of its annual Global Information Technology Report.
The term "Fermi-Dirac prime" refers to a specific type of prime number that arises from the Fermi-Dirac distribution, which is a statistical distribution that describes the occupancy of energy levels by fermions (particles that follow the Pauli exclusion principle, such as electrons). In more detail, the Fermi-Dirac distribution is used in quantum statistics to describe how particles occupy quantum states at thermal equilibrium, especially at absolute zero temperature.
A list of integer sequences typically refers to various collections of sequences made up of integers that follow specific patterns or rules. These sequences can be found in mathematical literature and often have interesting properties or applications in number theory, combinatorics, and computer science. One prominent source for integer sequences is the **OEIS (Online Encyclopedia of Integer Sequences)**, which catalogs a vast number of integer sequences along with their definitions, formulas, theorems, and historical context.
Lucky numbers are a sequence of natural numbers that are generated by a specific sieve process, first introduced by the mathematician Leonhard Euler. The process of generating lucky numbers is similar to that used in the Sieve of Eratosthenes for finding prime numbers, but instead of eliminating multiples of prime numbers, it eliminates numbers based on their positions.
A primary pseudoperfect number is a type of integer closely related to the concepts of number theory, particularly with respect to the properties of its divisors. A positive integer \( n \) is called a primary pseudoperfect number if it can be expressed as the sum of a subset of its proper divisors (the divisors excluding itself) plus one.
"Singly even" and "doubly even" typically refer to types of numbers in the context of mathematics, particularly in discussing properties of integers or sets of integers. 1. **Singly Even Numbers**: A number is termed "singly even" if it is divisible by 2 but not by 4. In other words, singly even numbers can be expressed in the form \(4k + 2\), where \(k\) is an integer.
A quadratic integer is a type of algebraic integer that is a root of a monic polynomial of degree two with integer coefficients. In simpler terms, a quadratic integer can be expressed in the form \( a + b\sqrt{d} \), where \( a \) and \( b \) are integers, and \( d \) is a square-free integer (i.e., \( d \) is not divisible by the square of any prime).
"The Sand Reckoner" is a mathematical treatise written by the ancient Greek philosopher and mathematician Archimedes. In this work, Archimedes explores the concept of large numbers and methods for counting them, demonstrating his ability to quantify sizes much larger than what was typically considered at the time.
The Dublin Virginal Manuscript is a collection of keyboard music from the late 16th and early 17th centuries, primarily focused on the virginal, a type of keyboard instrument similar to the harpsichord. It is considered one of the most significant sources of English keyboard music from that period. The manuscript contains a variety of pieces, including dances, fantasias, and variations, reflecting the rich tradition of English music during the Elizabethan and Jacobean eras.
CHARISSA is a project that stands for "CHAracterisation of RIsk and resilience in relation to sustainability and security in the Arctic." It focuses on understanding the interplay between risks, resilience, sustainability, and security in Arctic regions. The project aims to develop frameworks and methodologies for characterizing and assessing these factors.
The Medium Energy Ion Scattering (MEIS) Facility is a specialized research facility that focuses on the study of surface and thin film materials using medium-energy ion beams. MEIS is a powerful technique that allows scientists to investigate the atomic structure and composition of surfaces at a very fine scale. In MEIS, ion beams (typically with energies in the range of 50 to 200 keV) are directed at a target surface.
Michael Sterling could refer to a few different things, depending on the context: 1. **Individual**: Michael Sterling may be a common name, and there could be various individuals with that name. For example, he could be known in fields like entertainment, business, or politics. 2. **Character or Fictional Reference**: In literature, film, or television, there may be a character named Michael Sterling.
"Don't Repeat Yourself" (DRY) is a fundamental principle in software development and programming aimed at reducing the repetition of code patterns and ensuring that every piece of knowledge, logic, or data is represented in a single, unambiguous location within a system. The DRY principle advocates that: 1. **Single Source of Truth**: Each piece of information should be stored in one place only.
"The Power of 10: Rules for Developing Safety-Critical Code" refers to a set of guidelines developed by the avionics industry to ensure that software used in safety-critical systems, particularly in aerospace, maintains high levels of reliability and safety. The rules emphasize practices that reduce complexity and improve the robustness of code. These guidelines are often associated with the C coding language, particularly because of its widespread use in embedded systems and aerospace applications.
Detmold is a region located in the state of North Rhine-Westphalia, Germany. It is primarily known as the administrative district of Lippe (Kreis Lippe), with Detmold serving as its district seat. The region is characterized by its historical and cultural significance, featuring a range of attractions including historic towns, traditional architecture, and natural landscapes.

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