Kos (unit) by Wikipedia Bot 0
The "kos" is a unit of measurement that is used in various contexts, but most commonly it refers to a unit of distance. It is often associated with the term "kilo" or "kilometer," particularly in some regions or languages. However, it's worth noting that "kos" can also refer to a popular term in some sports, particularly in cricket, where it may denote a certain type of scoring or bowling.
Kuṭṭaka by Wikipedia Bot 0
"Kuṭṭaka" is a term from ancient Indian philosophy and literature, often associated with the context of debates or discussions, particularly in the field of logic and epistemology in Buddhism and Jainism. In these philosophical traditions, "kuṭṭaka" can refer to a specific kind of argument or fallacy. In a broader context, "kuṭṭaka" can also mean a strategy or method in dialectical engagements, where it involves sharp exchanges of ideas or critiques.
"Mathematics in India" is a book by Kim Plofker, published in 2009. The book offers a comprehensive overview of the history and development of mathematics in India, from ancient times through the medieval period to the modern era. Plofker explores the contributions of Indian mathematicians and the influence of Indian mathematics on the global mathematical landscape.
The Ramanujan Mathematical Society (RMS) is an organization dedicated to the promotion and development of mathematics research and education, especially in India. Founded in 2005, the society is named after the famed Indian mathematician Srinivasa Ramanujan, who made significant contributions to mathematical analysis, number theory, and continued fractions.
Tantrasamgraha by Wikipedia Bot 0
The **Tantrasamgraha** is a significant text in the tradition of Shaiva Tantra. Attributed to the 10th-century philosopher and saint **Abhinavagupta**, the Tantrasamgraha serves as a concise summary and synthesis of various Tantric teachings and practices associated with Shaivism.
In linguistics, defeasibility refers to a property of certain statements, conclusions, or arguments whereby they can be overridden or retracted in light of new information or evidence. This concept is often discussed within the context of semantics, pragmatics, and logic. In semantics, for example, defeasibility can apply to the meaning of certain sentences that can be modified or negated based on contextual factors.
Epilogism by Wikipedia Bot 0
Epilogism is not a widely recognized term in modern usage, but it might refer to a few concepts depending on the context in which it's used. In general, the prefix "epi-" suggests something related to an "epilogue," which is a concluding section of a literary work that provides closure or additional commentary on the main content.
Explicature by Wikipedia Bot 0
Explicature is a term used in linguistics, particularly in the field of pragmatics, to refer to the aspects of meaning that arise from the contextual interpretation of an utterance. It involves the process of elaborating the literal meaning of a sentence to include contextually relevant information that is not explicitly stated but is inferred by the listener. In transactional communication, explicature helps to clarify the speaker's intended meaning based on the context in which the utterance is made.
Braess's paradox by Wikipedia Bot 0
Braess's paradox is a concept in traffic flow and game theory that suggests that adding extra capacity to a network can sometimes lead to a decrease in overall efficiency. The paradox is named after the mathematician Dietrich Braess, who formulated it in 1968. In essence, Braess's paradox occurs when individual users of a network (such as drivers on a road network) behave in their own self-interest, and their decisions lead to a less efficient outcome for the entire system.
Externality by Wikipedia Bot 0
An externality is an economic concept that refers to a situation where the actions of individuals or businesses have an impact on third parties who are not directly involved in the transaction. Externalities can be either positive or negative. 1. **Negative Externality**: This occurs when the actions of an individual or company result in harmful effects on others. For example, pollution from a factory can adversely affect the health of people living nearby or the quality of natural resources.
The Kepler–Bouwkamp constant, denoted as \( K \), is a mathematical constant that appears in the context of the geometrical relationships between regular polygons and circles, particularly in relation to the packing of spheres and the computation of certain areas and volumes in geometry. It can be expressed in terms of elliptic integrals and has a numerical value of approximately: \[ K \approx 0.
Khinchin's constant is a mathematical constant that appears in the context of the theory of continued fractions. Named after the Russian mathematician Aleksandr Khinchin, it is typically denoted by the symbol \( K \) and is approximately equal to \( 2.685452 \). Khinchin's constant arises in the study of the properties of the continued fraction representations of real numbers.
The Price of Anarchy (PoA) is a concept in game theory that measures the efficiency of equilibria in non-cooperative games, particularly in the context of congestion games. In congestion games, players compete for limited resources, and their shared interactions can lead to suboptimal outcomes for the group as a whole.
The Price of Stability (PoS) is a concept in game theory and algorithmic social choice that measures the efficiency of equilibria in games, particularly in the context of strategic interactions among multiple agents or players. Specifically, it quantifies how much the performance of the best Nash equilibrium (a stable state where no player has anything to gain by changing only their own strategy) deviates from the optimal outcome that could be achieved with cooperation.
Immediate inference is a type of logical reasoning that allows one to draw conclusions directly from a single statement, without needing to refer to any other premises or statements. It involves deducing a specific proposition from a general one. In the context of syllogistic logic, immediate inference takes a basic form, often working with universal or categorical statements.
Statistical inference is a branch of statistics that involves drawing conclusions about a population based on a sample of data taken from that population. It provides the framework for estimating population parameters, testing hypotheses, and making predictions based on sample data. The primary goal of statistical inference is to infer properties about a population when it is impractical or impossible to collect data from every member of that population.
Grammar induction by Wikipedia Bot 0
Grammar induction is a process in computational linguistics and natural language processing where a system learns or infers grammatical rules or structures from a set of language data, typically represented as a corpus of sentences. The goal is to determine the underlying grammar of a language, which can be applied to understand, generate, or analyze that language.
Implicature by Wikipedia Bot 0
Implicature is a concept from pragmatics, a subfield of linguistics that studies how context influences the interpretation of meaning in communication. Specifically, implicature refers to information that is suggested or implied by a speaker but not explicitly stated in their utterance. This involves understanding what is meant beyond the literal meaning of words.
Inductive probability is a concept that relates to how we form beliefs or make judgments based on evidence or observations, particularly in situations of uncertainty. It contrasts with deductive reasoning, which involves drawing specific conclusions from general principles or facts. In more detail, inductive probability deals with the likelihood that a particular hypothesis or statement is true based on the evidence available.

Pinned article: ourbigbook/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