The stalagmometric method is a technique used to determine the surface tension of liquids, particularly in the context of liquid-solid interactions. This method involves measuring the number of drops that fall from a capillary tube or a similar apparatus under the influence of gravity. By analyzing the characteristics of the falling drops, researchers can infer the surface tension of the liquid.
A centering matrix is a specific type of matrix used in statistics and linear algebra, particularly in the context of data preprocessing. Its primary purpose is to center data around the mean, effectively transforming the data so that its mean is zero. This is often a useful step before performing various statistical analyses or applying certain machine learning algorithms.
William Welch Kellogg was an American physician and a notable figure in the field of public health and epidemiology. He is best known for his contributions to medical education and public health policy, particularly in the early 20th century. Kellogg was instrumental in establishing standards for medical practice and public health initiatives aimed at improving community health.
William Craig Reynolds does not appear to be a widely recognized public figure or concept in commonly available resources.
The William States Lee III Nuclear Generating Station is a proposed nuclear power plant located in South Carolina, near the town of Cherokee County. The facility is named after William States Lee III, a prominent figure in the development of the electrical utility industry in South Carolina. The project aims to provide a reliable source of nuclear energy, assisting in meeting the region's electricity demands and contributing to the energy mix that includes low-carbon options.
Windows 11 was officially announced by Microsoft on June 24, 2021, and it began rolling out to users starting on October 5, 2021. Below is a summary of the version history and significant updates for Windows 11: ### Initial Release - **Windows 11 (Version 21H2)**: This is the initial release, which became generally available on October 5, 2021.
In the context of computer hardware, a "word mark" typically refers to a specific type of marking or pattern that is utilized in memory systems or as part of the architecture in computing devices. Specifically, it may be associated with the way data is organized, accessed, and processed within memory. However, the term "word mark" might not be as universally recognized or defined as other terms in computing.
In physics, work is defined as the energy transferred to or from an object via the application of force along a displacement.
Noam Chomsky is a renowned linguist, philosopher, cognitive scientist, historian, and social critic. His works span various fields, primarily focusing on linguistics, philosophy of language, and political activism. Some key areas of his work include: 1. **Linguistics**: Chomsky is best known for his theory of generative grammar, which revolutionized the study of language.
In algebraic geometry, a **finite morphism** is a type of morphism between algebraic varieties (or schemes) that is analogous to a finite extension of fields in algebra.
Isomorphism is a concept that appears in various fields such as mathematics, computer science, and social science, and it generally refers to a kind of equivalence or similarity in structure between two entities. Here are a few specific contexts in which the term is often used: 1. **Mathematics**: In mathematics, particularly in algebra and topology, an isomorphism is a mapping between two structures that preserves the operations and relations of the structures.
The term "orientation character" can have different meanings depending on the context in which it is used. Here are a couple of interpretations: 1. **Literary and Narrative Context**: In literature and storytelling, an "orientation character" may refer to a character that plays a crucial role in establishing the setting, background, or themes of a narrative. This character often helps to orient the audience within the story, providing important insights or perspectives that shape the understanding of the plot.
Dimension theory is a branch of mathematics that studies the concept of dimension in various contexts, including topology, geometry, and functional analysis. At its core, dimension theory seeks to generalize and understand the notion of dimensionality beyond the familiar geometric dimensions (like length, area, and volume) found in Euclidean spaces. Here are some key aspects of dimension theory: 1. **Topological Dimension**: This is often defined in terms of a topological space's properties.
Time is a concept that allows us to understand the progression of events, the duration of occurrences, and the sequencing of moments. Philosophically and scientifically, it can be interpreted in various ways: 1. **Measurement of Change**: Time helps us track changes and movements in the universe. It enables the differentiation between past, present, and future. 2. **Physical Dimension**: In physics, time is often considered the fourth dimension, alongside the three spatial dimensions.
The "curse of dimensionality" is a term used to describe various phenomena that arise when analyzing and organizing data in high-dimensional spaces that do not occur in low-dimensional settings. It is particularly relevant in fields like statistics, machine learning, and data analysis. Here are several key aspects of the curse of dimensionality: 1. **Sparsity of Data**: In high-dimensional spaces, data points tend to be sparse.
The isoperimetric dimension is a concept in geometric analysis and topology that generalizes the notions of isoperimetric inequalities to more abstract settings. In its simplest form, the classical isoperimetric problem deals with determining the shape with the smallest perimeter (or boundary length) for a given area in Euclidean space, typically concluding that the circle minimizes perimeter for a fixed area.
Six-dimensional space, often denoted as \( \mathbb{R}^6 \) in mathematics, is an extension of the familiar three-dimensional space we experience in daily life. It consists of points described by six coordinates, which can represent various physical or abstract concepts depending on the context.
Finite fields, also known as Galois fields, are algebraic structures that consist of a finite number of elements and possess operations of addition, subtraction, multiplication, and division (excluding division by zero) that satisfy the field properties. A field is defined by the following properties: 1. **Closure**: The set is closed under the operations of addition, subtraction, multiplication, and non-zero division. 2. **Associativity**: Both addition and multiplication are associative.
Iwasawa theory is a branch of number theory that studies the properties of number fields and their associated Galois groups using techniques from algebraic geometry, modular forms, and the theory of L-functions. Named after the Japanese mathematician K. Iwasawa, the theory primarily focuses on the arithmetic of cyclotomic fields and \( p \)-adic numbers, and it aims to understand the behavior of various arithmetic objects in relation to these fields.
Lüroth's theorem is a result in the field of algebraic geometry and number theory, specifically concerning the field of rational functions. It states that if \( K \) is a field of characteristic zero, any finitely generated field extension \( L/K \) that is purely transcendental (i.e.

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