Max Picard (1888–1965) was a Swiss author and philosopher, best known for his reflections on the nature of existence, language, and the human condition. He was particularly noted for his works exploring themes such as solitude, silence, and the spiritual aspects of life. His most famous book, "The World of Silence," delves into the significance of silence in relation to human experience and thought.
In the field of harmonic analysis and representation theory, a **Gelfand pair** is a specific type of mathematical structure that arises when studying the representations of groups. More concretely, a Gelfand pair consists of a pair of groups (typically a group \( G \) and a subgroup \( H \)) such that the algebra of \( H \)-invariant functions on \( G \) is particularly "nice" for some representation theory considerations.
An **affine connection** is a mathematical concept used primarily in differential geometry and the theory of manifolds. It provides a way to define a notion of parallel transport, which allows one to compare vectors at different points on a manifold. The affine connection also enables the definition of derivatives of vector fields along curves in a manifold.
The center of curvature is a concept used primarily in geometry and optics, particularly in the context of curved surfaces and circular arcs. 1. **Definition**: The center of curvature of a curve at a given point is the center of the osculating circle at that point. The osculating circle is the circle that best approximates the curve near that point. It has the same tangent and curvature as the curve at that point.
Robert Arp is a philosopher known for his work in the fields of philosophy of science, philosophy of biology, and applied philosophy. He has contributed to various discussions around topics such as scientific explanation, evolution, and the philosophy of language. Arp has also edited and authored several books, including topics in philosophy and philosophy for a broader audience. His work often aims to make philosophical concepts accessible to non-specialists and to engage with contemporary scientific issues.
Magnetic hysteresis refers to the dependence of the magnetic state of a material on its past magnetic history. This phenomenon is commonly observed in ferromagnetic materials, which can be magnetized and demagnetized, displaying a non-linear relationship between magnetic field strength and magnetization. When a ferromagnetic material is subjected to an external magnetic field, it becomes magnetized, aligning the magnetic moments of its atoms.
A sound bite is a short, catchy, or memorable phrase or segment of speech, often used in media and communication to convey a point succinctly. Sound bites are typically taken from longer speeches or interviews and are designed to be easily understandable and impactful. They are often used in news broadcasts, political speeches, advertising, and social media, as they help to capture the audience's attention and can effectively summarize a larger message.
A Poussin graph is a specific type of graph used in the field of graph theory, particularly in the study of topological properties and configuration of graphs. The concept is named after the artist Nicolas Poussin due to the way certain beauty and structure principles are applied to the abstract representation of graphs. However, the term "Poussin graph" might not be universally recognized or defined in classic graph theory literature.
"Discoveries" is a book by Eric Walter Elst, a Belgian astronomer and astrophysicist known for his work in planetary science and cometary studies. In "Discoveries," Elst presents various scientific findings and insights derived from his research, particularly focusing on the study of asteroids and comets, along with related astronomical phenomena. The book typically aims to share his experiences, observations, and the knowledge he has accumulated over his career in an accessible manner for readers interested in astronomy.
A Hilbert manifold is a specific type of manifold that is modeled on a Hilbert space, which is a complete inner product space. To understand the concept of a Hilbert manifold, it's helpful to break down the terms involved: 1. **Manifold**: A manifold is a topological space that locally resembles Euclidean space. Formally, it is a topological space where every point has a neighborhood that is homeomorphic to an open subset of Euclidean space.
Regula falsi, also known as the method of false position, is a numerical technique used to find the root of a function. It is a root-finding algorithm that combines features of the bisection method and linear interpolation. The method is based on the idea that if you have a continuous function, and you can calculate its values at two points, you can use a straight line connecting these points to approximate the root.
Spanish units of measurement refer to the system of measurements traditionally used in Spain and Spanish-speaking countries. However, Spain and most Spanish-speaking countries primarily use the metric system (Sistema Métrico) for most measurements, including length, mass, and volume.
A mental model is a cognitive representation, framework, or concept that helps individuals understand and interpret the world around them. It’s a way of thinking that allows people to organize information, make predictions, solve problems, and guide decision-making based on their perceptions of reality. Mental models can be influenced by personal experiences, education, cultural background, and context.
Cyber-utopianism is a perspective or ideology that envisions the internet and digital technologies as tools for societal improvement and liberation. Proponents believe that the internet has the potential to create a more democratic, equitable, and open society. Key features of cyber-utopianism include: 1. **Optimism about Technology**: It holds an inherently positive view of the internet and digital technologies as forces for good, capable of dismantling traditional hierarchies and empowering individuals.
Ernst Kolman is a notable figure from Estonia, primarily known for his contributions to mathematics and science. He was a mathematician and a professor who played a significant role in the development of mathematics education and research in Estonia. Kolman's work often encompassed various fields within mathematics, and he has been recognized for his efforts in advancing mathematical understanding and application.
"Discoveries" by Ernesto Guido is a book that explores various themes related to knowledge, exploration, and the human experience. The work delves into the nature of discovery itself, examining how individuals and cultures encounter new ideas, inventions, and perspectives. Through a combination of personal anecdotes, philosophical insights, and illustrative examples, Guido reflects on how discoveries shape our understanding of the world and influence our lives.
Julia Pevtsova could refer to a specific individual, but without additional context, it's unclear who she is or what she is known for. It's possible she could be a public figure, academic, artist, or have significance in some other field.
A Bell number is a number that represents the count of different ways to partition a set into non-empty subsets. More formally, the \( n \)-th Bell number, denoted as \( B_n \), counts the number of ways to partition a set of \( n \) elements. For example: - \( B_0 = 1 \): There is one way to partition an empty set (the empty partition).
Elias gamma coding is a universal code used for encoding non-negative integers in a way that is both efficient and easy to decode. It is particularly useful in data compression and communication protocols. The primary goal of Elias gamma coding is to represent integers in a way that allows for a variable-length representation, optimizing space based on the size of the number being encoded.

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