Ronald Getoor was an influential American mathematician known for his contributions to probability theory and stochastic processes. He was particularly recognized for his work in the areas of applied probability, statistical theory, and the mathematical underpinnings of various stochastic models. Getoor held academic positions at various institutions, including the University of California, Santa Barbara. In addition to his research contributions, Ronald Getoor was also known for his role in mentoring students and contributing to mathematical education.
A valid argument form is a logical structure that ensures that if the premises are true, the conclusion must also be true. Here’s a list of some common valid argument forms: 1. **Modus Ponens (Affirming the Antecedent)** - Structure: - If P, then Q. - P. - Therefore, Q. - Example: If it rains, the ground is wet. It is raining. Therefore, the ground is wet.
Cryptlib is a cryptographic library designed to provide a wide range of encryption and hashing functions to developers and applications. It offers functionalities for both symmetric and asymmetric cryptographic algorithms, as well as support for various cryptographic protocols and standards. Some of the key features typically include: 1. **Encryption Algorithms**: Support for well-known algorithms such as AES, DES, RSA, and more.
A wedge issue is a political or social issue that divides people within a political party or between different political factions, often creating significant disagreement or controversy. These issues can be used strategically by politicians to gain support from specific voter demographics or to highlight divisions within competing parties. Examples of wedge issues often include topics related to abortion, gun control, immigration, and same-sex marriage.
The history of chess engines is a fascinating journey that reflects advancements in computer science and artificial intelligence. Here’s an overview of the significant milestones in the development of chess engines: ### Early Beginnings (1950s-1970s) - **1951-1966**: The first attempts at creating a chess-playing computer program were made in the early 1950s.
Mephisto is a series of chess computers and software developed by the German company Hegener + Glaser, which gained popularity in the 1980s and 1990s. The Mephisto chess computers were among the early dedicated machines designed specifically for playing chess, offering various models that differed in strength and features. The Mephisto brand was known for its innovative technology and design in chess computing.
"Principles of the Theory of Probability" typically refers to foundational concepts and rules that govern the field of probability theory. Probability theory is a branch of mathematics that deals with the analysis of random phenomena. The principles can be categorized into several key areas: 1. **Basic Concepts**: - **Experiment**: An action or process that leads to one or more outcomes (e.g., rolling a die).
There are numerous journals dedicated to the field of probability, covering a wide range of topics related to probability theory and its applications. Here’s a list of some prominent probability journals: 1. **The Annals of Probability** - A leading journal that publishes research on probability theory and stochastic processes. 2. **Probability Theory and Related Fields** - Focuses on probability theory and its applications. 3. **Journal of Applied Probability** - Publishes research on applied probability and stochastic processes.
A demagogue is a political leader who seeks to gain power and influence by manipulating popular emotions, prejudices, and fears, rather than through rational argument or policy proposals. Demagogues often use rhetorical techniques, such as appeals to populism, nationalism, and scapegoating, to rally support. They may spread misinformation or oversimplify complex issues to garner votes or support, often focusing on divisive topics to unite their followers against perceived enemies or threats.
The People's Party, also known as the Populist Party, was a significant political party in the United States in the late 19th century. It emerged in the 1890s, primarily representing the interests of agrarian workers, small farmers, and laborers who felt marginalized by the economic elite and the traditional two-party system dominated by the Democrats and the Republicans.
Groupe μ, also known as "Groupe Michel," is a French company that specializes in the development and manufacturing of materials and solutions for the automotive industry, particularly in the field of engineering and technology related to vehicle acoustics, vibrations, and thermal management. The company is known for its innovative approaches to improving vehicle performance and comfort through various products, including sound insulation materials and vibration damping solutions.
Christine de Pizan (c. 1364 – c. 1430) was a notable Italian-French author and poet, regarded as one of the first women in Western literature to earn a living through her writing. She is often recognized for her works that advocate for women's rights and challenge the societal norms of her time. Christine was born in Venice and moved to France, where she became a member of the court of Charles IV.
A composite image filter is a process or technique used in image editing and digital graphics that combines multiple images or layers to create a single final image. This is commonly used in graphic design, photography, and video editing to achieve various artistic effects, enhance images, or create visual representations that would be difficult to capture with a single photograph. ### Key Features of Composite Image Filters: 1. **Layering**: Composite image filters often involve layering different images on top of one another.
Kalman's conjecture refers to a proposition concerning convex polyhedra and their duals in the realm of geometric combinatorics. Specifically, it deals with the possible configurations of vertices in d-dimensional convex polytopes. More precisely, the conjecture speculates about the relationship between the vertices of a convex polytope and the faces of its dual polytope.
Negentropy is a concept derived from the term "entropy," which originates from thermodynamics and information theory. While entropy often symbolizes disorder or randomness in a system, negentropy refers to the degree of order or organization within that system. In thermodynamics, negentropy can be thought of as a measure of how much energy in a system is available to do work, reflecting a more ordered state compared to a disordered one.
An Information System (IS) is a coordinated set of components for collecting, storing, managing, and processing data to support decision-making, coordination, control, analysis, and visualization in an organization. Information systems are used to support operations, management, and decision-making in organizations, as well as to facilitate communication and collaboration among stakeholders. ### Key Components of Information Systems: 1. **Hardware**: The physical devices and equipment used to collect, process, store, and disseminate information.
Flowgrind is a network performance measurement tool that is primarily used to assess and analyze the performance of high-speed networks, such as those found in data centers or cloud computing environments. It operates by generating traffic between multiple nodes while measuring key metrics, such as throughput, packet loss, and latency. Here are some of the main features and applications of Flowgrind: 1. **Traffic Generation:** Flowgrind can create various types of traffic to simulate real-world network conditions.
Measuring network throughput refers to the process of determining the rate at which data is successfully transmitted over a network during a specific period of time. It is a critical metric in networking that helps evaluate the performance and efficiency of a network. Throughput is typically expressed in bits per second (bps), kilobits per second (Kbps), megabits per second (Mbps), or gigabits per second (Gbps). ### Key Aspects of Measuring Network Throughput 1.
The risk-return ratio is a financial metric used to evaluate the relationship between the potential risk and the expected return of an investment. It helps investors assess whether the potential rewards of an investment justify the risks involved. A higher ratio generally indicates that the investment is providing a better return for the level of risk taken.
The Feferman–Vaught Theorem is an important result in model theory, a branch of mathematical logic. It provides a way to understand the structure of models of many-sorted logics, which are logics that allow for several different sorts (or types) of objects. The theorem is particularly useful in the context of theories that can be represented by more than one sort.

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