The projective tensor product is a construction in functional analysis and tensor algebra that generalizes the notion of the tensor product of vector spaces to arbitrary topological vector spaces. It is particularly useful when dealing with dual spaces and various types of convergence in topological spaces.
Villarceau circles are a geometric concept associated with the study of toroidal shapes, specifically in relation to the geometry of a torus. These circles are defined by the intersection of a torus and a plane that cuts through it at a specific angle. When a torus is intersected by a plane not perpendicular to its central axis, the resulting intersection can yield various curves. If the angle of the plane is chosen correctly, the intersection forms a circle.
Satellite tornadoes are smaller tornadoes that develop in the vicinity of a larger parent tornado. They typically form in the outer bands of the parent storm and can rotate around it. These satellite tornadoes can be brief but may still be destructive. They often occur in severe storm systems, particularly supercell thunderstorms, which can produce multiple tornadoes at once.
Figure painting is a hobby that involves the practice of painting miniature figures, often associated with tabletop games, dioramas, or collectibles. This pastime allows enthusiasts to express their creativity and artistry by bringing models to life through color and detail. Here are some key aspects of figure painting: 1. **Figures**: The figures can range from historical soldiers and fantasy characters to sci-fi models or humanoid figures. They can be made from various materials, including plastic, resin, or metal.
Hamilton Invaders is a term that could refer to a few different things, but it is likely associated with a local sports team or a gaming community. For instance, it may refer to the Hamilton Invaders, a junior ice hockey team based in Hamilton, Ontario, Canada. This team has historically been part of various leagues and provides opportunities for young athletes to compete at an elite level.
Homies are a line of collectible figurines created by artist David Gonzales. They depict characters that embody various aspects of urban culture and Latino life, particularly reflecting the experiences of Mexican American communities. Each figure typically represents a distinct character with its own personality, attire, and backstory. Introduced in the late 1990s, Homies quickly gained popularity, leading to a series of toys that collectors sought after.
Convective storm detection refers to the processes and techniques used to identify and monitor convective storms, which are storms characterized by the presence of rising air (convection) that can lead to the formation of thunderstorms. These storms typically involve significant vertical development of clouds and can produce severe weather phenomena such as heavy rainfall, hail, lightning, and tornadoes.
Tornadoes hold a unique place in various cultures, particularly in regions where they are more frequently experienced, such as the United States, especially in "Tornado Alley." Their cultural significance can be observed in several ways: 1. **Folklore and Mythology**: Tornadoes often feature in local folklore and mythology. They have been depicted as powerful natural phenomena that can carry deep symbolic meanings, such as the representation of destruction, change, or the uncontrollable forces of nature.
The Enhanced Fujita (EF) scale is a classification system used to rate the severity of tornadoes based on the damage they cause to buildings and vegetation. It was introduced in 2007 as an improvement to the original Fujita scale, which was developed by Dr. Tetsuya Theodore Fujita in the 1970s.
A hook echo is a specific radar signature that meteorologists observe in Doppler radar data, particularly when monitoring severe thunderstorms. It appears as a pattern that resembles a hook or a "C" shape on weather radar displays. The hook echo is commonly associated with the presence of a mesocyclone, which is a rotating updraft within a supercell thunderstorm. The formation of a hook echo typically indicates that there is a possible tornado on the ground or that conditions are favorable for tornado development.
The International Fujita Scale, often referred to simply as the Fujita Scale, is a system for classifying the intensity of tornadoes based on the damage they cause to buildings and vegetation. It was developed by Dr. Theodore Fujita in 1971. The scale categorizes tornadoes on a scale from F0 to F5, with F0 representing the weakest tornadoes and F5 representing the most violent ones.
Lilapsophobia is the intense fear of tornadoes and hurricanes. Individuals who suffer from this phobia may experience significant anxiety or panic at the thought of such storms occurring, or even when they hear about them in the news. Like other specific phobias, lilapsophobia can lead to avoidance behaviors, affecting a person's daily life, especially in areas prone to severe weather.
A multiple-vortex tornado is a type of tornado that contains smaller rotating columns of air, or vortices, around its main channel of rotation. These vortices can form within the larger tornado and create a complex structure, with multiple areas of intense rotation occurring simultaneously. Multiple-vortex tornadoes can lead to increased damage potential because the smaller vortices may touch down in different locations around the tornado's core, causing destruction over a wider area compared to a single-vortex tornado.
The National Wind Institute (NWI) is a research and education organization based at Texas Tech University in Lubbock, Texas. It focuses on the study of wind-related phenomena, including wind energy, wind engineering, and the effects of wind on structures. The NWI aims to improve safety and resilience against severe wind events, such as tornadoes and hurricanes, as well as to promote the development of wind energy technologies.
The term "Power Flash" can refer to different things depending on the context: 1. **Technology and Electronics**: In some technical contexts, "Power Flash" might refer to a rapid surge of electrical power, perhaps used in relation to systems that require brief high-power bursts, such as in certain motors or power supplies.
The "radius of maximum wind" (RMW) refers to the distance from the center of a tropical cyclone (such as a hurricane or typhoon) to the location where the maximum sustained winds are found. In a well-structured tropical cyclone, the strongest winds are typically located in a narrow band surrounding the eye, and the RMW is a critical parameter for understanding the cyclone's intensity and wind field structure.
A tornado warning is an official alert issued by weather agencies, such as the National Weather Service (NWS) in the United States, indicating that a tornado has been sighted or indicated by radar. This warning signifies that a tornado is imminent or occurring in the specified area, and it is crucial for individuals in the affected region to take immediate protective action.
Storm Data is a publication prepared by the National Oceanic and Atmospheric Administration (NOAA) that provides information about significant weather events, particularly severe storms, tornadoes, hurricanes, and other natural disasters in the United States. It includes detailed accounts of storm occurrence, associated damages, fatalities, and other relevant statistics. Storm Data is typically produced on a monthly and annual basis and serves as a vital resource for researchers, meteorologists, emergency management officials, and the general public.
TWISTEX, or the Tactical Weather Instrumentation for Storms and Tornadoes Experiment, is a research project focused on understanding severe weather phenomena, particularly tornadoes. The initiative involves deploying instrumented vehicles and equipment into storm-prone areas to collect data during severe weather events. This real-time data collection helps scientists analyze storms, improve forecasting models, and advance knowledge about the dynamics of tornado formation.

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 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.
  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