John B. Bell is a prominent figure in the field of mathematics, particularly known for his work in the areas of numerical analysis and applied mathematics. However, without more specific context, it's difficult to determine exactly which John B. Bell you're referring to, as there may be multiple individuals with that name associated with different fields.
Robin Thomas is a mathematician known for his contributions to the areas of graph theory and combinatorial optimization. He has worked on various topics, including graph algorithms, coloring problems, and the structure of graphs. Thomas is often recognized for his collaborations and connections with other researchers in the field and has published numerous papers on related topics.
The color of water is typically described as colorless, meaning it has no color in its purest form. When pure and in small quantities, water appears clear. However, in larger volumes, water can appear blue or green, due to the way it absorbs and scatters light. Factors such as the presence of impurities, sediments, and algae can also affect the color of water, making it appear brown, green, or even other shades depending on the materials dissolved or suspended in it.
Interference can refer to different concepts depending on the context in which it is used. Here are some common meanings: 1. **Physics (Wave Interference)**: In physics, interference refers to the phenomenon that occurs when two or more waves overlap and combine to form a new wave pattern. This can happen with all types of waves, including sound waves, light waves, and water waves.
An ice circle, also known as an ice disc, is a naturally occurring phenomenon where a circular piece of ice spins slowly in the water. These formations can be found in rivers and lakes, particularly in cold climates. Ice circles typically form in smooth, flowing water, often where there is a slight current that helps to shape the ice into a circular form. The process usually begins when a section of ice breaks off and, due to the water's movement, starts to rotate.
The Lamb–Oseen vortex is a specific type of steady, axisymmetric vortex flow that arises in incompressible fluid dynamics. It describes the velocity profile of a vortex that has a Gaussian-like distribution of velocity around an axis of rotation, often encountered in fluid mechanics, particularly in the study of turbulence and vortex dynamics. ### Key Characteristics: 1. **Velocity Profile**: The velocity field of the Lamb–Oseen vortex can be expressed mathematically.
An optical vortex is a type of light field characterized by a helical or twisted wavefront. In such a field, the phase of the light wave wraps around in a spiral pattern, leading to a region of zero intensity at the center—this is typically referred to as a "phase singularity." Optical vortices are often associated with beams of light that carry orbital angular momentum (OAM), which means they can be described by a quantum mechanical analogue of angular momentum.
The vortex ring state is a flight condition that occurs in helicopters and other rotorcraft when the rotor blades encounter a disturbance in airflow, typically happening when the helicopter descends vertically or hovers in its own downwash. In this state, the rotor system operates in an inefficient way, leading to a loss of lift and control. When a helicopter hovers or descends slowly, the rotor blades generate a downwash of air, which creates a column of descending air beneath the rotor.
Surface waves are a type of seismic wave that travels along the Earth's surface. They are one of the primary types of waves generated by earthquakes, and they typically cause the most damage during seismic events. Surface waves are slower than body waves (which travel through the Earth's interior) but have larger amplitudes and longer durations, leading to significant ground shaking. There are two main types of surface waves: 1. **Love Waves**: Named after A.E.H. Love, who studied them.
The Heawood graph is a specific type of graph in graph theory that serves as an important example in various areas, including topology and combinatorics. It is named after the mathematician Percy John Heawood, who studied it in the context of map coloring problems. Here are some key features of the Heawood graph: 1. **Structure**: The Heawood graph is a bipartite graph with 14 vertices and 21 edges.
Mode conversion refers to the process of transforming one type of wave mode into another. This phenomenon is commonly discussed in the context of various fields, including optics, telecommunications, and wave physics. Here are some key points about mode conversion: 1. **Wave Modes**: In wave theory, wave modes can refer to different patterns or configurations of waves, such as transverse and longitudinal waves, or different polarization states of light.
Operational Modal Analysis (OMA) is a technique used to identify the dynamic characteristics of structures or mechanical systems in their operational or working conditions, rather than during controlled laboratory tests. This method typically involves the measurement of response data from a structure or system while it is under normal operating conditions, often influenced by environmental factors like wind, traffic, or machinery operation.
A Perfectly Matched Layer (PML) is a computational technique used in numerical simulations to absorb electromagnetic waves or other types of waves at the boundaries of a simulation domain. It is commonly employed in finite element method (FEM) and finite-difference time-domain (FDTD) simulations to minimize reflections that can interfere with the simulation results. ### Key Features of PML 1.
Inclement weather management refers to the strategies and actions taken to prepare for, respond to, and mitigate the effects of adverse weather conditions on operations, infrastructure, and safety. This can encompass a wide range of activities depending on the context—such as in transportation, construction, event planning, and emergency services.
Sky and weather deities are gods and goddesses associated with the sky, weather phenomena, and celestial bodies in various mythologies and religions around the world. These deities often have control over elements such as the sun, moon, stars, rain, storms, and wind, and they are frequently invoked in rituals related to agriculture, navigation, and protection from natural disasters. Here are a few prominent examples from different cultures: ### Sky Deities 1.
Sidewinding is a unique method of locomotion primarily used by certain species of snakes, particularly those found in sandy or loose terrains, such as the sidewinder rattlesnake. In this movement style, the snake moves sideways in a series of lateral undulations, which allows it to traverse sandy and unstable surfaces more effectively while minimizing contact with the ground.
A sinusoidal plane wave is a specific type of wave that propagates through a medium with a sinusoidal form. It is characterized by its smooth and regular oscillations, with the following key features: 1. **Sinusoidal Shape**: The wave's displacement as a function of position and time is described by a sine or cosine function.
Xuhui District is one of the central districts of Shanghai, China. It is located in the southwestern part of the city and is known for its blend of modernity and historical significance. The district features a mix of residential areas, commercial hubs, and cultural sites. Xuhui is home to several universities, including Shanghai Jiao Tong University, one of the most prestigious universities in China.
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





