Kendall tau distance is a measure of the dissimilarity between two rankings (or orders) based on the concept of concordance and discordance between pairs of items. It is derived from Kendall's tau coefficient, which quantifies the correlation between two rankings.
Landau's function typically refers to concepts or mathematical functions related to Landau's theory in various fields, particularly in physics and mathematics. One prominent example involves Landau's theory of phase transitions, where critical phenomena are studied. In statistical physics, Landau's theory often introduces a free energy functional expressed in terms of order parameters, which are quantities that describe the different phases of a system.
The Lévy–Steinitz theorem is a result in convex geometry and functional analysis that deals with the characterization of certain linear combinations of sequences of vectors in the context of normed spaces. More specifically, it pertains to the conditions under which a finite sequence of vectors can be expressed as a convex combination of a possibly larger collection of vectors.
The Mantel test is a statistical method used to assess the correlation between two distance or dissimilarity matrices. It's commonly applied in fields like ecology, genetics, and geography to determine whether there is a significant relationship between two sets of distances, such as geographic distances between sites and genetic distances among populations. ### Key Features of the Mantel Test: 1. **Distance Matrices**: The test involves two matrices that represent pairwise distances or dissimilarities.
The M2 missile typically refers to the M2 Bradley, which is a tracked armored vehicle used by the United States Army, or it can refer to various missile systems depending on the context. However, in the context of missiles, it may not be specifically denoted as M2. If you are referring to a specific missile system or variant (e.g., surface-to-air missiles, anti-tank missiles, etc.
In pragmatics, "felicity" refers to the appropriateness or effectiveness of a speech act in a given context. It is based on the idea that certain utterances or actions are considered successfully performed only if certain conditions are met. The concept of felicity is often associated with the work of philosopher J.L. Austin, who introduced speech act theory, and further developed by John Searle.
Rencontres numbers are a sequence of integers that arise in combinatorial mathematics, specifically in the context of permutations. They count the number of permutations of a set of \( n \) elements where exactly \( k \) elements are in their original (or "fixed") positions. The term "rencontre" comes from a French word meaning "meeting," reflecting the idea of elements meeting their original positions.
The Southern Bight is a part of the North Sea, situated off the southern coast of the Netherlands and the northwest coast of Belgium. It extends from the Netherlands to the eastern coast of the United Kingdom. The region is known for its relatively shallow waters, extensive shipping routes, and dense shipping traffic. The Southern Bight includes several important ports, such as Rotterdam and Antwerp, which are critical for international trade.
In the context of group theory and specifically permutations, the terms "skew" and "direct sums" can relate to how we combine or relate different permutation groups or works within them. ### Skew of Permutations "Skew" isn't a standard term strictly associated with permutations in the same way that "direct sum" is, but it may refer to a concept such as a "skew product".
In computing, "1943" does not refer to a specific concept or technology widely recognized within the field.
A transposition cipher is a method of encryption where the positions of the letters in the plaintext are shifted according to a certain system to create the ciphertext. Unlike substitution ciphers, which replace letters or groups of letters with other letters or groups, transposition ciphers rearrange the existing characters without changing them. ### Key Features of Transposition Ciphers: 1. **Rearrangement**: The primary mechanism behind a transposition cipher is the rearrangement of characters in the plaintext to produce the ciphertext.
Al-Khazini, also known as Al-Khazini Al-Baghdadi, was a prominent Arab physicist, mathematician, and astronomer who lived during the 11th or 12th century (often cited around 1050-1115 CE). He is best known for his work in mechanics and his contributions to the understanding of gravitational and hydrostatic principles.
Ambiguity refers to a situation where a word, phrase, statement, or concept can be understood in multiple ways, leading to unclear or uncertain interpretations. It often arises in language, communication, and situations where context is crucial for understanding. There are two main types of ambiguity: 1. **Lexical Ambiguity**: This occurs when a word has multiple meanings. For example, the word "bank" can refer to a financial institution or the side of a river.
In the philosophy of language, "concepts" refer to the mental representations or abstract ideas that we use to understand and categorize our experiences and the world around us. They play a crucial role in how we communicate, interpret meaning, and engage with various linguistic expressions. Here are some key aspects of concepts in this context: 1. **Meaning and Reference**: Concepts are often tied to the meanings of words and phrases.
In philosophy, "interpretation" refers to the process of understanding and making sense of texts, ideas, actions, or phenomena. It involves deciphering meaning and significance, often in contexts that are complex or ambiguous. Interpretation can apply to various fields within philosophy, including literature, ethics, metaphysics, and social and political theory.
Linguistic modality refers to the way language expresses the speaker's attitude toward the likelihood, necessity, or desirability of a proposition. It provides information about the speaker's perspective on the truth of the statement being made, often indicating how probable, possible, necessary, or intended an action or event is.
Philosophy of language is a branch of philosophy that explores the nature, origins, and use of language. It examines how language interacts with reality, thought, and communication, and it addresses questions such as: 1. **Meaning**: What does it mean for words and sentences to have meaning? How do meanings change over time or in different contexts? 2. **Reference**: How do linguistic expressions refer to objects, concepts, or states of affairs?
Arche-writing is a term that emerges from the work of French philosopher Jacques Derrida, particularly in the context of his theories on language, writing, and différance. Derrida uses "arche-writing" to refer to an underlying form of writing that encompasses not just conventional written text but also the broader semiotic systems of signs and meanings that constitute communication and understanding.
The concept of "autonomy of syntax" refers to the idea that the syntactic structure of a language operates independently of its semantic (meaning-related) and pragmatic (context-related) aspects. This notion is particularly associated with certain theories in linguistics, especially generative grammar, which was notably advocated by Noam Chomsky.

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