The triangle inequality is a fundamental concept in geometry and mathematics that states the following for any triangle with sides of lengths \( a \), \( b \), and \( c \): 1. \( a + b > c \) 2. \( a + c > b \) 3. \( b + c > a \) In essence, the triangle inequality asserts that the sum of the lengths of any two sides of a triangle must be greater than the length of the remaining side.
Tribe Flood Network is a decentralized, community-driven project that focuses on flood risk management and disaster response using blockchain technology. It allows individuals and organizations to share information about flood risks, monitor water levels, and coordinate relief efforts in real-time. By harnessing the power of a network of volunteers and stakeholders, Tribe Flood Network seeks to improve the efficiency of flood response and recovery, ultimately saving lives and reducing damage.
Willetta Greene-Johnson appears to be a specific individual, but there isn't widely available public information about her as of my last knowledge update in October 2021. She may be a private person or not widely known in public discourse.
"Yun Wang" could refer to different entities or individuals, depending on the context. 1. **Personal Name**: It may refer to a person, as Yun Wang is a common name in Chinese-speaking communities. There could be many individuals with that name in various fields such as academia, business, or the arts. 2. **Cultural Reference**: It could refer to a concept, story, or character in Chinese literature or culture.
Yuri Gulyayev is a physicist known for his work in the fields of solid-state physics and materials science. He has made contributions to the understanding of various physical phenomena, particularly in relation to the properties of materials and their applications in technology. His research has included studies on the behavior of materials under different conditions, the mechanisms of electronic and optical properties, and advancements in nanotechnology. Gulyayev has published numerous scientific papers and has been involved in various academic and research initiatives.
Tritium radioluminescence is a phenomenon that occurs when tritium, a radioactive isotope of hydrogen, emits light as a result of its radioactive decay. Tritium undergoes beta decay, releasing electrons and producing helium-3. During this process, the energy released can interact with surrounding materials, often resulting in the emission of photons, or light. This property of tritium is utilized in various applications, particularly in self-luminous devices.
The truncated projective plane is a geometric structure that arises from the projective plane, specifically through a process known as truncation. In geometry, the projective plane is a two-dimensional space where lines extend infinitely and where parallel lines intersect at a point at infinity. When we truncate the projective plane, we typically modify it to create a new space by removing certain points or regions and replacing them with new structures.
Free Ocean CO2 Enrichment (FOCE) refers to experimental setups designed to understand the effects of increased carbon dioxide (CO2) levels on marine environments, particularly on ecosystems such as coral reefs and other marine organisms. These experiments aim to simulate future ocean conditions anticipated due to climate change, particularly the process of ocean acidification, which occurs when excess CO2 is absorbed by the ocean, leading to lower pH levels.
Pierre Alamire is a historical figure best known as a prominent music copyist and publisher during the Renaissance period, particularly active in the late 15th and early 16th centuries. He is recognized for his meticulous handwriting and for producing high-quality copies of music manuscripts for notable composers of the time. Many of the works attributed to Alamire include important pieces of liturgical and secular music, often written for choirs or ensembles.
"We Be the Echo" is a creative collective and community-focused initiative that aims to amplify the voices and stories of marginalized communities, particularly those in urban environments. It serves as a platform for artists, activists, and community members to share their experiences and challenges, fostering dialogue and collaboration. The collective often utilizes various forms of media, including art, music, and public events, to engage audiences and promote social change.
Yuri Tschinkel is a notable figure in the field of mathematics, particularly known for his work in algebraic geometry, number theory, and related areas. He has made significant contributions to the study of modular forms and automorphic forms. Tschinkel is also recognized for his involvement in mathematical education and outreach.
Wehrl entropy is a measure of the uncertainty associated with a quantum state, particularly in the context of phase space. It was introduced by the physicist Alfred Wehrl in 1978 as a way to extend the concept of classical entropy to quantum systems. The Wehrl entropy is defined for a quantum state represented by a density operator, typically in the context of continuous variables, such as in quantum optics. In classical thermodynamics, entropy quantifies the level of disorder or uncertainty in a system.
Pierre Deligne is a Belgian mathematician known for his significant contributions to algebraic geometry, number theory, and related areas. Born on October 3, 1944, in Bravaux, Belgium, he is particularly renowned for his work on the Weil conjectures, a set of conjectures related to the topology of algebraic varieties and their connections to number theory.
Frege's puzzles, named after the philosopher and logician Gottlob Frege, refer to a set of issues in philosophy of language concerning the nature of meaning and reference, particularly in relation to proper names and sentences that express identity. The puzzles explore how sentences involving proper names lead to questions about the difference between meaning (or sense) and reference. One of the most well-known aspects of Frege's puzzles is the example involving identity statements.
The Weighted Average Return on Assets (WARA) is a financial metric that measures the overall return generated by a company's assets, taking into account the proportion of each asset’s contribution to the total asset base. It gives a more nuanced view of how effectively a company is utilizing its assets to generate returns, as compared to simply looking at the return on assets (ROA).
The United Kingdom Rocketry Association (UKRA) is an organization dedicated to the promotion and support of rocketry in the UK. It serves as a central body for rocketry enthusiasts, providing resources, guidelines, and a community for individuals interested in the design, construction, and launching of rockets.
Mathematics in education and industry refers to the application of mathematical concepts, methods, and reasoning in various educational settings and real-world industrial contexts. Here's a breakdown of both aspects: ### Mathematics in Education 1. **Curriculum Development**: Mathematics forms a core component of the educational curriculum at all levels, from elementary school to higher education. It helps students develop critical thinking and problem-solving skills.
The Institute of Mathematics and Statistics (IME) at the University of São Paulo (USP) is a prominent academic institution in Brazil, focusing on research and education in mathematics and statistics. Established in 1970, IME offers undergraduate and graduate programs in these fields, aiming to develop academic excellence and research capabilities. Key features of IME include: 1. **Research**: IME is involved in various mathematical and statistical research areas, collaborating with national and international institutions.
Pre-STEM generally refers to preparatory programs or educational tracks designed to prepare students for studies and careers in Science, Technology, Engineering, and Mathematics (STEM) fields. These programs may encompass a variety of activities, coursework, and experiences aimed at equipping students with foundational skills and knowledge that will be beneficial in pursuing more advanced STEM-related education or careers.

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