Gravitational-wave telescopes are instruments designed to detect and analyze gravitational waves—ripples in spacetime caused by some of the universe's most violent and energetic processes, such as merging black holes, neutron star collisions, and the collapse of massive stars. Unlike traditional telescopes that observe electromagnetic radiation (like light, radio waves, or X-rays), gravitational-wave telescopes capture the distortions in spacetime caused by these astronomical events.
Robin Wilson is a prominent British mathematician known for his contributions to the field of combinatorics and graph theory. He has an interest in various areas of mathematics, including topology, geometry, and the mathematical aspects of puzzles and games. In addition to his research work, Wilson is recognized for his efforts in mathematics education and communication, having authored several books aimed at making complex mathematical concepts accessible to a broader audience.
ColorGraphics Weather Systems is a company that specializes in providing weather information and technology solutions, often focusing on the creation and distribution of meteorological data and forecasting tools. They may offer a range of products and services, including weather graphics, visualizations, data analytics, and customized weather solutions for various industries, such as broadcasting, aviation, agriculture, and emergency management. These systems typically incorporate advanced technology to interpret weather data, create engaging visual representations, and deliver timely forecasts to users.
Teresa W. Haynes is a mathematician known for her work in topology, specifically in the study of fixed point theory, topological methods in combinatorics, and algebraic topology. She has contributed significantly to the field through her research and publications. Additionally, Haynes has held various academic positions and has been involved in mentoring students in mathematics.
Vadim G. Vizing is a prominent Russian mathematician known for his contributions to graph theory and combinatorial optimization. He is particularly famous for Vizing's theorem, which deals with the edge-coloring of graphs. The theorem states that for any simple graph, the maximum number of colors needed to color the edges of the graph (without any two adjacent edges sharing the same color) is either equal to the maximum degree of the graph or one more than that.
The Allais effect, named after the French economist Maurice Allais, is a phenomenon in behavioral economics that demonstrates how people's choices can violate the expected utility theory, which assumes that individuals make decisions to maximize their expected utility based on probabilities. The effect specifically highlights inconsistencies in people's preferences regarding different lotteries. In a typical Allais paradox experiment, participants are presented with two sets of choices involving lotteries with varying probabilities and outcomes.
Graphene, a one-atom-thick layer of carbon atoms arranged in a hexagonal lattice, has garnered immense attention due to its unique properties. Its potential applications span various fields, including: 1. **Electronics**: - Transistors: Graphene's high electron mobility makes it ideal for high-speed transistors. - Flexible electronics: Graphene's flexibility can lead to bendable smartphone screens and wearable technology.
In astronomy, mass concentration refers to the amount of mass contained within a given volume of space, often used to describe the distribution of mass in structures such as galaxies, galaxy clusters, or dark matter halos. It is typically represented in terms of mass density (mass per unit volume) and helps astronomers understand the gravitational influences of these structures. Mass concentration is an important factor in the study of cosmology and the dynamics of systems under gravitational influence.
The 12th century was a significant period for the revival of classical learning in Europe, particularly influenced by the translation of Greek texts. While the term "12th-century Greek mathematicians" may not refer to a specific group of individuals, it can be understood in the context of the broader intellectual activities during that time. During the 12th century, many classical Greek works, including those of mathematicians like Euclid, Diophantus, and Archimedes, were translated into Latin.
Isaac Argyros does not appear to be widely recognized in popular culture, academia, or significant historical contexts up to my last knowledge update in October 2023. It is possible that he could be a less-known individual, a fictional character, or someone who has gained recognition after that date. If you are referring to a specific field, like science, literature, or a recent event, please provide more context or clarify the inquiry.
The 18th century was a period of significant development in mathematics, but Greece, particularly during this time, was not a major center of mathematical innovation compared to earlier periods such as the classical era (5th to 3rd centuries BCE) or the Renaissance. However, there were some important developments and figures worth noting. 1. **Influence of the Enlightenment**: The 18th century was marked by the Enlightenment, and Greek scholars were influenced by the broader European intellectual movement.
Nikolaos Hatzidakis, commonly known as Nikos Hatzidakis, is a prominent Greek politician and member of the New Democracy party. He has served in various capacities, including as Minister of Environment and Energy in Greece. Hatzidakis is known for his work in areas related to energy policy, environmental management, and economic development. His career has been marked by his involvement in legislative initiatives aimed at promoting sustainability and addressing climate change.
Alice S. Whittemore is a notable biostatistician and professor emerita in the Department of Biomedical Data Science at Stanford University. She is recognized for her contributions to statistical methods in the biomedical field, particularly in the areas of genetics and epidemiology. Whittemore has published extensively in various aspects of biostatistics and has served in significant roles within the statistical community, including leadership positions in professional organizations.
Bernard Maskit is a prominent mathematician known for his contributions to the field of mathematics, particularly in the areas of complex analysis, geometry, and Kleinian groups. He is recognized for his development of the Maskit slice, a concept in the study of Kleinian groups, which are a type of group of transformations in hyperbolic space. In addition to his work in mathematics, Bernard Maskit has had a significant impact on mathematical education and has published numerous papers and articles in scholarly journals.
Thaw depth refers to the depth to which the ground or soil has thawed during warmer months, particularly in regions that experience seasonal freezing and thawing cycles, such as in cold climates or permafrost areas. Thaw depth is crucial in various fields, including geology, agriculture, and civil engineering, as it affects soil properties, vegetation growth, and the stability of structures built on or in the ground.
In the context of mathematics, particularly in group theory and the study of algebraic structures, the term "quotientable automorphism" is not a standard terminology widely recognized in classic mathematical literature. However, I can help clarify two concepts that might relate to this phrase: 1. **Automorphism**: An automorphism is a structure-preserving map from a mathematical object to itself that has an inverse.
In group theory, the **direct product** (also known as the **Cartesian product** or **product group**) of two groups combines the two groups into a new group. Here's a detailed explanation: ### Definition: Let \( G \) and \( H \) be two groups.
Boris Weisfeiler was a Russian-born mathematician known for his work in the field of mathematics, particularly in algebra and geometry. He is best remembered for his contributions to the study of group theory and topology. In addition to his academic work, Weisfeiler gained attention due to his mysterious disappearance in 1985 while hiking in Chile during the military dictatorship of Augusto Pinochet.
Cornelia Druțu is a prominent Romanian mathematician known for her contributions to various fields, including functional analysis, partial differential equations, and mathematical analysis. She is also recognized for her work in mathematical education and outreach.
Charles Leedham-Green is a mathematician known for his work in group theory and computational group theory. He has contributed significantly to the study of groups, many of which relate to algebraic structures in mathematics. Additionally, Leedham-Green has co-authored important works in these fields, including books and research papers that often involve computational methods to solve problems related to groups and their properties.

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