Orthogonal circles are two circles that intersect at right angles. This means that the tangents to the circles at the points of intersection are perpendicular to each other. Mathematically, if you have two circles defined by their equations, say: 1. Circle \( C_1 \): \( (x - a_1)^2 + (y - b_1)^2 = r_1^2 \) 2.
Women geophysicists are female scientists who specialize in the study of the Earth using principles of physics, mathematics, and geology. Geophysics involves analyzing the physical properties of the Earth, including its magnetic and gravitational fields, seismic activity, and internal structure. Women geophysicists work in various fields, including natural resource exploration (like oil, gas, and minerals), environmental assessments, geotechnical investigations, and academic or theoretical research.
Poinsot's spirals, named after the French mathematician and physicist Louis Poinsot, refer to a specific family of curves that describe the path traced by a point in a three-dimensional space as it rotates around an axis in a particular manner. These curves are notable for their application in various fields, including mechanics, robotics, and computer graphics. The spirals can be defined mathematically in polar coordinates, where their general form is often expressed through equations that capture their unique geometric properties.
The term "solid sweep" can refer to different concepts depending on the context in which it is used. However, there are a couple of common interpretations: 1. **Sports Context**: In sports like baseball or basketball, a "solid sweep" typically refers to a team winning all games in a series or competition against another team (for example, winning all three or four games in a playoff series). A "solid sweep" would imply the victories were decisive and well-executed.
Robust geometric computation refers to methods and techniques in computational geometry that aim to ensure the accuracy and reliability of geometric algorithms under various conditions. It addresses common issues such as numerical instability, precision errors, and degeneracies that can arise due to the finite representation of numbers in computer systems. Key aspects of robust geometric computation include: 1. **Exact Arithmetic**: Using arbitrary-precision arithmetic or symbolic computation to avoid errors associated with floating-point arithmetic.
The term "serpentine curve" can refer to a few different concepts, depending on the context. Here are the two most common: 1. **Mathematics**: In mathematics, a serpentine curve refers to a type of curve that resembles the shape of a serpent or snake, characterized by smooth, flowing bends. It can represent an infinite or a finite series of sine-like waves arranged in a serpentine or wavy pattern.
In mathematics, particularly in the context of geometry and topology, the term "truncus" generally refers to a truncated shape or solid, which is derived by cutting off a part of a geometric figure, typically one of its vertices. For instance, in three-dimensional geometry, truncating a polyhedron can involve cutting off its corners or edges, thereby transforming the original shape into a new solid with new faces.
Two-center bipolar coordinates are a type of orthogonal coordinate system used in mathematics and physics. They are particularly useful in problems that involve two fixed points, called foci, within a plane. This coordinate system can be particularly advantageous for solving problems related to potential theory, fluid dynamics, and electrostatics. ### Definition and Properties 1.
The Watchman Route Problem is a classical problem in computational geometry and optimization. It involves determining an optimal route for a "watchman" who needs to patrol an area (usually represented as a polygon) and ensure full visibility of that area. The goal is to find the shortest path that allows the watchman to observe every point within the specified region.
The Fellows of the American Geophysical Union (AGU) is an honor bestowed upon members of the AGU who have made exceptional contributions to the Earth and space sciences. This recognition is awarded to individuals who have demonstrated outstanding achievements in research and have advanced the understanding of geophysical phenomena. Election to AGU Fellow is a prestigious distinction that reflects a member’s commitment to scientific excellence and their impact on the geophysical community.
As of my last knowledge update in October 2021, "Kelin Wang" does not refer to a widely recognized term or entity. However, it is possible that it could be a name of a person, particularly someone in academia, business, or media. Without more specific context, it is difficult to provide accurate information.
As of my last update in October 2023, I don't have any specific information about an individual named John-Michael Kendall. It's possible that he is a private individual or a relatively unknown figure, or that he gained prominence after that date.
Climate variability and climate change are related concepts, but they refer to different phenomena regarding the Earth's climate system. ### Climate Variability Climate variability refers to the fluctuations in climate conditions that occur over shorter time periods, such as days, seasons, or years. This includes natural variations caused by a range of factors, including: 1. **Natural processes**: Such as volcanic eruptions, ocean currents, and atmospheric patterns (e.g., El Niño and La Niña).
As of my last knowledge update in October 2021, Georgia Destouni is a prominent figure in the field of environmental science and hydrology, known for her research on water management, sustainable development, and integrated water resources. She has contributed significantly to the understanding of the interactions between human activities and hydrological processes.
The thermal history of Earth refers to the changes in temperature and heat distribution throughout the planet's formation and development, from its origin over 4.5 billion years ago to the present day. Understanding this thermal history is essential for insights into Earth's geological processes, the development of its atmosphere and oceans, and the evolution of life. ### Key Stages of Earth's Thermal History: 1. **Formation and Initial Cooling (4.5 - 4.
Vít Kárník is not widely recognized as a public figure or entity in major historical, cultural, or scientific contexts based on the information available up to October 2023. It’s possible that he could be a lesser-known individual or a private person. If you have more context about who he is or in which field he might be relevant (e.g.
Henry Marshall Tory (1864–1947) was a notable figure in Canadian education and academia. He is best known for his role as the first president of the University of Alberta, where he served from 1908 to 1928. Tory was instrumental in shaping the university's early development, promoting a vision of education that included not only traditional academic disciplines but also a strong emphasis on research and community service.
Radiometric dating is a technique used to date materials such as rocks or carbon by measuring the abundance of specific radioactive isotopes within the sample. This method relies on the principle of radioactive decay, where unstable isotopes (parent isotopes) transform into stable isotopes (daughter isotopes) over time at a known rate, characterized by their half-lives. For example, in carbon dating, carbon-14 (a radioactive isotope of carbon) decays into nitrogen-14 over time.
The National Institute of Geophysics and Volcanology (Istituto Nazionale di Geofisica e Vulcanologia, or INGV) is an Italian research institute dedicated to the study of geology, geophysics, and volcanology. Established in 1999, the INGV focuses on monitoring seismic and volcanic activity in Italy, which is known for its significant geological hazards.
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!
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 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. - 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





