The Axiom of Real Determinacy (AD) is a principle from set theory and logic, particularly in the context of infinite games and infinite sequences of real numbers. It states that for any infinite two-player game where players alternately choose natural numbers (or digits in the decimal representation), and where the outcome of the game can be represented as an infinite sequence of real numbers, one of the players has a winning strategy.
The "List of game theorists" typically refers to a compilation of individuals who have made significant contributions to the field of game theory. Game theory is a mathematical framework for modeling scenarios in which players make decisions that are interdependent, meaning the outcome for each player depends on the actions of others.
The Brazilian Journal of Probability and Statistics (BJPS) is an academic journal that focuses on research in the fields of probability and statistics. It publishes original research articles, reviews, and other contributions related to theoretical and applied aspects of these disciplines. The journal serves as a platform for scholars and researchers to disseminate their findings and advancements in statistical methodologies, probabilistic models, and their applications in various fields.
WebOS is a Linux-based operating system originally developed by Palm, Inc. and later acquired by Hewlett-Packard (HP) and LG Electronics. Here’s a brief overview of its version history: ### Palm WebOS (2009-2010) 1. **WebOS 1.0 (June 2009)**: The first release was launched alongside the Palm Pre smartphone. It introduced features like multitasking, a card-based interface, and tight integration with web services.
Sigurlína Ingvarsdóttir appears to be a name that may not be widely recognized or associated with any prominent public figure, event, or topic in the available data up to October 2023.
Rodger's method, often referred to in the context of statistics and research methodology, is not a widely recognized or standard term. However, it could refer to various methods or techniques depending on context.
Marshall McLuhan (1911–1980) was a Canadian philosopher and media theorist best known for his work on the impact of media and technology on human communication and society. He is most famous for coining phrases like "the medium is the message" and "the global village." McLuhan's work explored how different forms of media—whether print, television, or electronic communications—affect human perception and social organization.
Modes of persuasion refer to the techniques and strategies that speakers and writers use to convince an audience of their viewpoint or argument. The most well-known framework for understanding modes of persuasion comes from Aristotle, who identified three primary modes: 1. **Ethos**: This mode relates to the credibility or ethical appeal of the speaker or writer. It involves establishing trust and authority on the subject matter. When someone uses ethos, they aim to persuade the audience by demonstrating their expertise, integrity, or moral character.
Euthymios Tornikios, also known as Euthymios the Monk or Euthymios Tornikios, was a notable Byzantine scholar and monk who lived during the 14th century. He is best known for his contributions to the field of dialectics and philosophy, as well as his efforts to preserve and comment on classical texts. Euthymios Tornikios was part of the broader intellectual movement during the Byzantine Empire that sought to reconcile classical Greek philosophy with Christian theology.
BWPing typically refers to "BWP" (short for "Bandwidth Performance") testing, which is a method used to assess the performance and capacity of a network or system. However, the specific context in which the term is used can vary significantly.
Random Early Detection (RED) is a queue management and congestion control algorithm used in computer networks, particularly in routers. It aims to manage network traffic by monitoring average queue sizes and randomly dropping a fraction of incoming packets before the queue becomes full. This early detection helps to signal to the sender to reduce the data transmission rate, thereby preventing congestion and improving overall network performance.
Mathematical Biosciences is an interdisciplinary field that applies mathematical methods and models to understand biological systems and phenomena. It combines principles from mathematics, biology, and often computational science to address complex biological questions, analyze biological data, and predict outcomes in various biological contexts. Key areas of focus within Mathematical Biosciences include: 1. **Population Dynamics**: Studying the growth and interactions of populations, including the dynamics of species, the spread of diseases, and the effects of environmental changes.
The Liberal Paradox, formulated by economist Amartya Sen, highlights a conflict between individual freedoms and collective societal welfare within the context of liberalism. It addresses the tension between two fundamental principles: 1. **Individual Liberty**: The notion that individuals should have the freedom to pursue their own interests and make choices without coercion. 2. **Pareto Efficiency**: The idea that a situation is Pareto efficient if no individual's situation can be improved without worsening someone else's situation.
Larswm is a lightweight and minimalist window manager for the X Window System, primarily designed for Unix-like operating systems. It follows the "tiling" window management paradigm, where windows are arranged in a non-overlapping fashion, allowing for efficient use of screen space. Larswm is known for its simplicity, configurability, and the ability to manage windows using keyboard shortcuts.
Object-Z is an extension of the Z notation, which is a formal specification language used for describing and modeling computing systems. Z notation itself is based on set theory and first-order logic and is widely used for specifying software and system requirements in a mathematically rigorous way. Object-Z adds an object-oriented aspect to Z notation, allowing for the modeling of software systems in terms of objects and classes. This incorporates concepts such as encapsulation, inheritance, and polymorphism into the specification.
Chang's conjecture is a statement in set theory, particularly in the field of model theory and the study of large cardinals. It was proposed by the mathematician Chen Chung Chang in the 1960s. The conjecture concerns the relationships between certain infinite cardinals, specifically focusing on the cardinality of the continuum, which is the size of the set of real numbers.
A non-standard model in logic, particularly in model theory, refers to a model of a particular theory that does not satisfy the standard or intuitive interpretations of its terms and structures. In mathematical logic, a model is essentially a structure that gives meaning to the sentences of a formal language in a way that satisfies the axioms and rules of a specific theory. ### Characteristics of Non-standard Models: 1. **Non-standard Elements**: Non-standard models often contain elements that are not found in the standard model.
In the context of systems theory and engineering, "realization" refers to the process of transforming a conceptual model or theoretical representation of a system into a practical implementation or physical realization. This involves taking abstract ideas, designs, or algorithms and developing them into a functioning system that operates in the real world. Key aspects of realization in systems include: 1. **Modeling**: Creating a detailed representation of the system, which can be mathematical, graphical, or computational.
The covariant derivative is a way to differentiate vector fields and tensor fields in a manner that respects the geometric structure of the underlying manifold. It is a generalization of the concept of directional derivatives from vector calculus to curved spaces, ensuring that the differentiation has a consistent and meaningful geometric interpretation. ### Key Concepts: 1. **Manifold**: A manifold is a mathematical space that locally resembles Euclidean space and allows for the generalization of calculus in curved spaces.
A Hermitian manifold is a type of complex manifold equipped with a Riemannian metric that is compatible with the complex structure. More formally, a Hermitian manifold consists of the following components: 1. **Complex Manifold**: A manifold \( M \) that is equipped with an atlas of charts where the transition functions are holomorphic mappings. This means that the local coordinates can be expressed in terms of complex variables.

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