Richard M. Dudley is a notable figure in the field of applied mathematics and statistics, particularly known for his contributions to probability theory and stochastic processes. He is often recognized for his work in developing theoretical frameworks that have applications in various scientific and engineering disciplines. In addition to his research contributions, Dudley is also an educator and has played a significant role in teaching and mentoring students in mathematics. His published works, including books and research papers, are widely cited in academic literature.
Robert Brown (1773–1858) was a prominent Scottish botanist and a key figure in the field of plant biology. He is best known for his significant contributions to the study of plant morphology and taxonomy, as well as for his discovery of the phenomenon of Brownian motion, which later influenced the field of physics. Brown was born in Montrose, Scotland, and studied at the University of Edinburgh.
Sidney Redner is a physicist known for his contributions to statistical physics, particularly in the fields of complex systems, nonequilibrium phenomena, and applications of statistical mechanics to various problems in science. He has worked on topics such as random walks, diffusion processes, and the theoretical underpinnings of statistical models that describe physical systems.
Romano Scozzafava is a type of Italian cheese that originates from the Lazio region, particularly around the area of Rome. It is a semi-hard cheese made from cow's milk and is characterized by its robust flavor and firm texture. The cheese often has a slightly tangy taste with nutty undertones, and it can be used in a variety of culinary applications, including as a table cheese, in cooking, or for grating.
Steven Neil Evans is not a widely recognized public figure or event as of my last knowledge update in October 2023. It's possible he could be a private individual, an emerging personality, or related to a specific niche or local context.
Stuart Geman is an influential figure in the fields of applied mathematics and statistics, particularly known for his contributions to image analysis, statistical inference, and Bayesian methods. He has been involved in research that intersects mathematics, computer science, and various applications in engineering and biology. Geman is also associated with advancements in algorithms for processing and interpreting complex data, particularly in the context of visual data.
The Borel–Kolmogorov paradox arises in the context of probability theory, specifically dealing with the issues that can arise when a seemingly intuitive approach to probability is applied to certain continuous distributions. The paradox highlights how different ways of defining conditional probabilities can lead to contradictory or counterintuitive results. To explain the paradox, consider the following scenario: 1. **Setup**: Imagine a perfectly random process that produces real numbers uniformly in the interval [0, 1].
Tatyana Afanasyeva refers to a notable figure in the realm of education or science but is not widely recognized in public knowledge. It’s possible that she might be affiliated with a specific domain, such as scholarly research, educational initiatives, or similar areas.
The Sleeping Beauty problem is a philosophical thought experiment that involves decision theory, probability, and issues related to self-locating belief. It was first formulated in the 20th century and revolves around a hypothetical scenario regarding a character named Sleeping Beauty. Here's a brief outline of the problem: 1. **The Setup**: Sleeping Beauty undergoes a procedure where she is put to sleep on Sunday and is awakened either once or multiple times depending on the outcome of a coin flip.
William Feller was a prominent mathematician known for his work in probability theory and statistical mechanics. Born on July 7, 1906, in Zagreb, Croatia, he later moved to the United States, where he made significant contributions to the field. Feller is particularly well-known for his foundational work on stochastic processes, including the theory of random walks and the Feller process.
William MacAskill is a Scottish philosopher and one of the prominent figures in the effective altruism movement. He is an associate professor in philosophy at the University of Oxford and a co-founder of several organizations related to effective altruism, including 80,000 Hours and Giving What We Can. MacAskill is known for his work on ethical issues related to decision-making, utilitarianism, and the moral implications of charitable giving.
The Actor model and process calculi are both abstract models for describing and reasoning about concurrent computation, but they approach the concept of concurrency from different perspectives. ### Actor Model The Actor model is an abstraction for modeling concurrent systems, where "actors" are the fundamental units of computation. Each actor is encapsulated, meaning it contains its own state and behavior, and operates independently.
The necktie paradox is a thought experiment in the realm of probability theory that illustrates how intuitive ideas about chance and random selection can sometimes lead to counterintuitive or unexpected results. The most common version of the paradox involves selecting a necktie at random from a collection of ties, where the ties are grouped by several factors, such as color or pattern. In one version of the paradox, consider a situation where a man has several neckties.
The Sleeping Barber problem is a classic example of a synchronization problem in computer science and operating systems, particularly related to the concept of concurrency. It illustrates how to manage multiple processes in a way that avoids deadlocks and ensures resource sharing. ### Scenario: Imagine a barber shop with one barber, one chair for the barber to cut hair, and a waiting room with a limited number of chairs for customers.
A Master Production Schedule (MPS) is a plan for the production of individual products or product families in a manufacturing or assembly environment. It specifies what is to be produced, in what quantities, and when it will be produced. The MPS serves as a crucial tool for managing manufacturing resources and aligning production activities with customer demand. ### Key Elements of a Master Production Schedule: 1. **Product Specification**: Identifies which products or product lines will be produced.
Overall Equipment Effectiveness (OEE) is a key performance indicator used in manufacturing to assess the efficiency and effectiveness of a production process. It provides insight into how well a manufacturing operation is performing in relation to its maximum potential output when considering the quality of products produced. OEE is calculated using three main components: 1. **Availability**: This measures the proportion of time that the equipment is ready and available for production, as opposed to being down for maintenance, breakdowns, or any other interruptions.
The planning horizon refers to the length of time over which an organization plans its activities, strategies, and forecasts. It can vary significantly based on the context and the specific purpose of the planning. Here are some key points regarding the planning horizon: 1. **Time Frame**: The planning horizon can range from short-term (days or weeks) to long-term (months, years, or even decades). Common categorizations include: - **Short-term**: Typically up to one year.
The Process Theory of Composition is an approach to writing that emphasizes the cognitive and iterative processes involved in creating a text. Unlike traditional views that may treat writing as a linear sequence of stages (such as prewriting, drafting, revising, and editing), the Process Theory posits that writing is often more recursive, with writers moving back and forth between different stages as they develop their ideas.
The "calculus of broadcasting systems" is not a standard term or concept in the fields of mathematics or engineering as of my last knowledge update in October 2023. However, it may refer to mathematical or theoretical frameworks used to analyze and optimize broadcasting systems in communications, including radio, television, and data transmission. In general, broadcasting systems involve the transmission of information from a single source to multiple receivers.
Join-calculus is a programming language and formalism designed for concurrent and distributed programming. It was developed to provide a way to describe and reason about systems that involve multiple components interacting with each other. The key features of Join-calculus include: 1. **Concurrency**: Join-calculus is specifically built to manage concurrent processes. It allows for the specification of interactions between these processes in a clean and concise manner.

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