Varignon's theorem, also known as the Varignon's law of moments, is an important principle in the field of mechanics, particularly in the study of static equilibrium of forces. The theorem states that if a system of forces acts on a particle and we take the moment about any point, the total moment about that point can be determined by considering the moments of the individual forces about that point.
Open Mathematics is a term that can refer to several concepts, but it generally revolves around the idea of making mathematical knowledge, resources, and educational materials freely available and accessible to everyone. Here are some specific aspects and contexts in which "Open Mathematics" may apply: 1. **Open Educational Resources (OER)**: This includes freely accessible teaching and learning materials in mathematics that can be shared, reused, and modified. Open Mathematics promotes the use of these resources to enhance math education.
The Pacific Journal of Mathematics is a peer-reviewed academic journal that publishes research articles in various fields of mathematics. Established in 1956, the journal covers a wide range of mathematical topics, including but not limited to pure mathematics, applied mathematics, and computational mathematics. It serves as a platform for mathematicians to disseminate their findings and contribute to the advancement of mathematical knowledge.
Shadow matching is a perceptual and cognitive task or technique often used in psychology and cognitive science. In this context, it typically refers to activities where individuals must identify or match an object, image, or pattern based on its silhouette or shadow rather than its full visual features.
Telematics is a field that combines telecommunications, vehicle technology, and monitoring systems to collect and transmit data from remote objects, such as vehicles, to a central system for analysis and management. It encompasses the use of GPS (Global Positioning System) to track vehicle location, as well as various onboard sensors and systems that monitor aspects such as speed, fuel consumption, engine performance, and driver behavior.
Wikiloc is a web platform and mobile application that specializes in outdoor activities, specifically focusing on hiking, biking, and other nature-based excursions. It allows users to discover, create, and share their own trails, maps, and routes, while also providing the ability to track their outdoor activities using GPS functionality. Users can search for trails based on various criteria such as location, difficulty, length, and type of activity.
Mel's Hole is an urban legend and a supposed "mystery hole" located in Washington State, which gained notoriety through a series of radio broadcasts in the late 1990s. The story originated from a man named Mel Waters, who claimed to have discovered a deep, seemingly bottomless hole on his property. According to Waters, the hole had bizarre properties, such as the ability to seemingly regenerate objects thrown into it, and it was associated with various supernatural and inexplicable phenomena.
The 100th meridian west is a line of longitude that is located 100 degrees west of the Prime Meridian, which is the line of longitude defined as 0 degrees. The 100th meridian west runs from the North Pole to the South Pole and passes through several U.S. states, including Montana, Wyoming, Colorado, Nebraska, and Texas. Historically, the 100th meridian west has been significant in various contexts, particularly in relation to agriculture and climatology.
The 109th meridian east is a line of longitude that is 109 degrees east of the Prime Meridian, which is designated as 0 degrees longitude. It runs from the North Pole to the South Pole and passes through several countries, including Mongolia, China, India, and various nations in Southeast Asia. In the context of geography, the 109th meridian east is used as a reference point for navigation, mapping, and geographic information systems.
The 114th meridian east is a line of longitude that is located 114 degrees east of the Prime Meridian, which is designated as 0 degrees longitude. This meridian runs from the North Pole to the South Pole and passes through several countries and regions, including parts of eastern Asia, such as Mongolia and China, as well as regions in the Pacific Ocean.
Coping planning refers to the process of developing strategies and plans to effectively manage stressors or challenges that individuals may face. It is commonly used in psychology and therapeutic contexts to help individuals prepare for difficult situations, enhance resilience, and improve overall psychological well-being. Key components of coping planning include: 1. **Identifying Stressors**: Understanding the potential challenges or stressors that may arise in various situations, such as work-related stress, personal issues, or health concerns.
The 116th meridian west is a line of longitude located 116 degrees west of the Prime Meridian. It runs from the North Pole to the South Pole, passing through various regions in North America, including parts of Canada and the United States. In the United States, the 116th meridian west passes through states such as Idaho, Nevada, and California. It generally traverses a variety of geographical landscapes, including mountains and deserts.
The 119th meridian east is a line of longitude that is located 119 degrees east of the Prime Meridian, which is the line designated as 0 degrees longitude. This meridian runs from the North Pole to the South Pole and passes through several countries, including parts of Russia, Mongolia, China, and the United States. In the United States, the 119th meridian east runs through the western part of the country, including states such as California and Nevada.
The 11th meridian west is a line of longitude that is 11 degrees west of the Prime Meridian, which is defined as 0 degrees longitude. This meridian runs from the North Pole to the South Pole and passes through various countries and regions. In terms of geographical location, the 11th meridian west passes through the following areas: - It crosses western parts of Norway. - It continues through the northern part of the Atlantic Ocean.
The 124th meridian east is a line of longitude located 124 degrees east of the Prime Meridian, which is defined as 0 degrees longitude. This meridian runs from the North Pole to the South Pole and passes through various countries and regions. In the northern hemisphere, it crosses through areas in Russia, Mongolia, and China. In the southern hemisphere, it passes over the waters of the southern Pacific, including parts of the ocean.
The 126th meridian west is a line of longitude that is 126 degrees west of the Prime Meridian, which is designated at 0 degrees longitude. This meridian runs from the North Pole to the South Pole and passes through several regions in North America, including parts of Canada and the United States. In the United States, the 126th meridian west primarily runs through the state of Alaska, where it crosses the Aleutian Islands.
The 12th meridian west is a line of longitude that runs from the North Pole to the South Pole, situated 12 degrees west of the Prime Meridian, which is at 0 degrees longitude. It passes through several countries in Europe and Africa, including parts of Norway, Sweden, Denmark, Germany, and others. In geographical terms, meridians are used to specify the east-west position of a point on the Earth's surface.
The 133rd meridian west is a line of longitude that is 133 degrees west of the Prime Meridian, which is 0 degrees longitude. It runs from the North Pole to the South Pole. This meridian passes through various regions, including parts of the United States in Alaska, as well as parts of Canada and the Pacific Ocean. In mapping and navigation, meridians are important for determining geographical locations and for navigation purposes.
The 137th meridian east is an imaginary line of longitude that is located 137 degrees east of the Prime Meridian. It travels from the North Pole to the South Pole and traverses various countries and geographical features. In the northern hemisphere, the 137th meridian east passes through parts of eastern Russia, while in the southern hemisphere, it crosses through parts of the ocean and then reaches territories in Australia, including the northern part of the continent.
S2 is a star located in the vicinity of the supermassive black hole at the center of the Milky Way Galaxy, specifically in the region known as Sagittarius A* (Sgr A*). It is an interesting object for astronomers because it has a highly elliptical orbit around the black hole, completing a revolution roughly every 16 years.
Pinned article: ourbigbook/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!
Intro to OurBigBook
. Source. We have two killer features:
- 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-calculusArticles 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/derivativeVideo 2. OurBigBook Web topics demo. Source. - 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.
- to OurBigBook.com to get awesome multi-user features like topics and likes
- as HTML files to a static website, which you can host yourself for free on many external providers like GitHub Pages, and remain in full control
Figure 2. You can publish local OurBigBook lightweight markup files to either OurBigBook.com or as a static website.Figure 3. Visual Studio Code extension installation.Figure 5. . 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. - Infinitely deep tables of contents:
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