Anna Seigal is a mathematician known for her work in various fields of mathematics, particularly in the areas of topology and algebra. She is recognized for her research contributions as well as for her role in promoting mathematics education and outreach. Anna Seigal may also be associated with specific educational initiatives, workshops, or programs aimed at engaging students and the public in mathematical inquiry.
The Von Kármán wind turbulence model is a mathematical representation used to describe the characteristics and behavior of atmospheric turbulence, particularly in the context of wind speed and wind direction variability. Named after the Hungarian-American engineer Theodore von Kármán, this model is particularly pertinent in fields such as meteorology, aerospace engineering, and environmental studies.
Arthur Iberall was an American scientist and researcher known for his interdisciplinary work involving physics, mathematics, and systems theory. He is particularly noted for his contributions to the fields of chaos theory and complex systems. Iberall was also associated with the development of models to describe human behavior and societal dynamics. His work often emphasized the interconnectedness of different scientific domains and sought to apply rigorous scientific principles to understand complex phenomena.
Artificial ecosystems are human-made environments that mimic natural ecosystems in order to support life and maintain ecological processes. These environments can be created for various purposes, including scientific research, agriculture, conservation, education, and recreation. Some examples of artificial ecosystems include: 1. **Aquariums**: Controlled aquatic environments that simulate natural habitats for fish and other marine organisms.
Gelenbevi Ismail Efendi, also known as Gelenbevi Ismail or simply Ismail Efendi, was a prominent figure in the late Ottoman Empire, particularly noted for his contributions to the field of education, especially in relation to modernizing and reforming the educational system in Turkey. He is particularly associated with the title of "Gelenbevi," which refers to his origins in the town of Gelenbe in present-day Turkey.
Highly Optimized Tolerance (HOT) is a theoretical framework related to complex systems, particularly in the fields of statistical physics and complex networks. The concept refers to systems that exhibit a balance between stability and adaptability, allowing them to endure a high degree of variability and external perturbations while maintaining their core functionalities. In HOT systems, a high level of tolerance to flaws, errors, or disruptions is achieved through optimization of the underlying structures or processes.
The Exponential Mechanism is a concept used in differential privacy, a framework for ensuring the privacy of individuals in databases while allowing for the analysis of the data. The Exponential Mechanism is particularly useful for selecting outputs or responses from a set of possible outputs based on their utility while preserving privacy. ### Key Components: 1. **Utility Function**: A function that measures how well a certain output "y" serves a specific purpose or satisfies a particular query given a dataset "D".
Engineering statistics is a branch of statistics that focuses on the application of statistical methods and techniques to engineering problems and processes. It involves the collection, analysis, interpretation, and presentation of data related to engineering applications. The main objectives of engineering statistics include improving the quality and performance of engineering systems, processes, and products, as well as supporting decision-making based on data-driven insights.
The prime decomposition of 3-manifolds is a fundamental concept in the field of 3-manifold topology. It states that any compact connected 3-manifold can be uniquely decomposed into a connected sum of prime 3-manifolds, with the understanding that the connected summands are considered up to homeomorphism. ### Key Concepts: 1. **3-Manifold**: A 3-manifold is a space that locally looks like Euclidean 3-dimensional space.
Australian anti-nuclear weapons activists are individuals and groups in Australia that campaign against the development, proliferation, and use of nuclear weapons. This movement has been active since the mid-20th century, particularly in response to the threat posed by nuclear arms, as well as the testing of nuclear weapons in the Pacific.
Computational cognition is an interdisciplinary field that merges cognitive science and computer science to understand human thought processes through computational models. It focuses on how people think, learn, and make decisions by mimicking these processes using algorithms, simulations, and artificial intelligence (AI) systems. Key aspects of computational cognition include: 1. **Modeling Human Cognition**: Researchers create computational models that replicate human cognitive functions such as perception, memory, reasoning, and problem-solving.
The General Data Format for Biomedical Signals (GDF) is a standardized file format designed for the storage and exchange of biomedical signals. It provides a structured way to represent various types of physiological signals, such as electroencephalograms (EEG), electromyograms (EMG), and other biomedical data. The main purpose of the GDF format is to facilitate interoperability between different software tools and systems used in biomedical research and clinical practice.
Axiomatic foundations of topological spaces refer to the formal set of axioms and definitions that provide a rigorous mathematical framework for the study of topological spaces. This framework was developed to generalize and extend notions of continuity, convergence, and neighborhoods, leading to the field of topology. ### Basic Definitions 1. **Set**: A topological space is built upon a set \(X\), which contains the points we are interested in.
The Bankoff circle is a concept in the field of mathematics, specifically in geometry. It is associated with the study of triangles and their properties. More precisely, the Bankoff circle is defined in relation to a triangle and its circumcircle. In a triangle, the Bankoff circle is the circle that passes through the triangle's vertices and is tangent to the sides of the triangle at certain points. This circle is named after the mathematician A. Bankoff, who studied its properties.
The Principle of Sufficient Reason (PSR) is a philosophical proposition that states that everything must have a reason, cause, or explanation for its existence or occurrence. In other words, for any fact or event, there must be a reason why it is the case rather than not. The idea can be traced back to various philosophers, including Leibniz, who articulated it in the context of metaphysics and epistemology.
A binary multiplier is a digital electronic circuit or algorithm that multiplies two binary numbers. It performs the multiplication of binary numbers, similar to how decimal multiplication is carried out, but it operates on binary digits (bits, which can be 0 or 1). ### Key Concepts: 1. **Binary Representation**: Numbers in binary are represented using two symbols (0 and 1). For example, the binary number `101` represents `5` in decimal.
Quadruple-precision floating-point format is a computer number format that provides a very high level of precision for representing real numbers. It is part of the IEEE 754 standard, which specifies how floating-point numbers should be represented and manipulated in computing environments. Here are some key characteristics of quadruple-precision format: 1. **Bit Width**: Quadruple precision typically uses 128 bits (or 16 bytes) to store a single floating-point number.
The Basic Limiting Principle is a concept in various fields, including economics, biology, and environmental science, referring to the idea that growth or production in a system is constrained by certain limiting factors. Essentially, it posits that no matter how favorable conditions may be, one or more resources or conditions will ultimately cap the level of growth or performance that can be achieved.

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