The Poisson boundary is a concept that arises in the study of stochastic processes, particularly in the context of Markov processes and potential theory. It is closely related to the idea of harmonic functions and represents a boundary condition that helps to understand the behavior of a stochastic process at infinity or at certain boundary points.
A "tube domain" generally refers to a type of mathematical structure or setting, often associated with certain areas in differential geometry or algebraic geometry. However, the term can have different meanings depending on the specific context in which it's used. One well-known context for "tube domain" is in the study of several complex variables and complex analysis.
Light rail systems can have a significant health impact on communities, both positive and negative. Here are some of the key health-related factors associated with light rail systems: ### Positive Health Impacts: 1. **Increased Physical Activity**: - Light rail systems often encourage walking or biking to and from stations, which can increase overall physical activity levels in the population. Regular physical activity is linked to lower rates of obesity, heart disease, diabetes, and other chronic conditions.
John Huchra was an American astronomer known for his work in the field of cosmology and extragalactic astronomy. He was particularly recognized for his contributions to the study of galaxy redshift surveys and the large-scale structure of the universe. Huchra was involved in various notable projects, including the NASA/ESA Hubble Space Telescope and the Two Micron All Sky Survey (2MASS).
Kathryn Flanagan might refer to a specific individual, but without more context, it's difficult to provide precise information. There may be multiple people with that name across various fields such as academia, business, or the arts.
Williamina Fleming (1857–1911) was a Scottish astronomer known for her significant contributions to the field of astronomy during the late 19th and early 20th centuries. She worked at the Harvard College Observatory, where she was one of the first women to be appointed to an official position in the field. Fleming played a crucial role in the classification of stars and the development of stellar spectroscopy.
George B. Field is a name that could refer to several individuals or places, but without additional context, it's difficult to determine exactly what you're asking about. In a scientific context, George B. Field might refer to an astrophysicist known for his work in areas such as cosmic magnetic fields or other related fields of study.
Kelly Korreck is not a widely recognized figure or term, and as of my last update in October 2023, there is no specific information available about an individual or concept by that name that stands out in popular culture, history, or other well-known fields. It's possible that Kelly Korreck could refer to a private individual, a character in a lesser-known work, or a term specific to a particular niche or community.
Robert is a famously haunted doll that is housed in the East Martello Museum in Key West, Florida. The doll is life-sized and was originally given to a boy named Robert Eugene Otto in the early 1900s. The doll is said to have been a gift from Otto's grandfather, and it closely resembles the boy, which has led to various legends and stories about its origin. Over the years, Robert the Doll has gained a reputation for being possessed or cursed.
The Gardner Pinnacles are a pair of small, remote islands located in the North Pacific Ocean, situated about 1,500 miles northwest of Honolulu, Hawaii. They are part of the Northwestern Hawaiian Islands and are known for their steep, rocky cliffs and significant seabird populations. The pinnacles are named after Captain Charles Gardner, who was an early explorer in the area.
The term "16th-century robots" may refer to concepts or automata that were created during the 16th century, which were early mechanical devices that could mimic human or animal actions. While the modern term "robot" was not coined until the 20th century (from the Czech word "robota," meaning forced labor), the idea of creating lifelike mechanical beings dates back centuries. During the Renaissance, inventors and engineers, like Leonardo da Vinci, designed various automata.
The Biot number (Bi) is a dimensionless quantity used in heat transfer calculations to characterize the relationship between conductive and convective heat transfer. It is defined as the ratio of thermal resistance within a body to the thermal resistance at its surface.
A Helium Ionization Detector (HID) is a type of ionization detector used primarily in gas chromatography (GC) and other analytical techniques for the detection of trace gases. This detector operates using the principle of ionization of gases and is known for its high sensitivity and ability to detect a wide range of compounds. ### How It Works: 1. **Ionization Process**: The detector utilizes a stream of helium gas in an ionization chamber.
The Minkowski problem is a classical problem in the field of convex geometry, specifically concerning the characterization of convex bodies (or polytopes) based on their surface area measures. The problem is named after the mathematician Hermann Minkowski.
"Die Philosophie Herakleitos des Dunklen von Ephesos" translates to "The Philosophy of Heraclitus the Obscure of Ephesus." This phrase refers to the thoughts, ideas, and writings of Heraclitus, an ancient Greek philosopher from Ephesus, who lived around the 6th century BCE.
The Minkowski sausage is a geometric construct used in the field of topology and geometric measure theory, particularly in the study of the properties of sets in Euclidean space. Specifically, it refers to a way of "thickening" a curve in Euclidean space to create a three-dimensional shape. Given a continuous curve \( C \) in three-dimensional space, the Minkowski sausage is formed by taking a tubular neighborhood around the curve.
A tricategory is a generalization of a category in the context of higher category theory. While a category consists of objects and morphisms (arrows) between those objects, a tricategory extends this idea to include not just objects and morphisms, but also a second layer of structure called 2-morphisms, and a third layer called 3-morphisms.
A substitution cipher is a type of encryption technique where each letter in the plaintext is systematically replaced with another letter or symbol to create the ciphertext. The substitution can be done in various ways, such as using a fixed alphabet where each letter in the original message is replaced by a corresponding letter from a shuffled alphabet, or by using more complex keys.
The invention of the telephone is credited primarily to Alexander Graham Bell, who was awarded the first US patent for the invention in March 1876. Bell's goal was to create a device that could transmit vocal sounds electrically, and his successful experiments culminated in a working prototype that was capable of converting sound waves into electrical signals and back again. On March 10, 1876, Bell famously spoke to his assistant, Thomas Watson, saying, "Mr.
Hidden variable theory is a concept in quantum mechanics that proposes the existence of additional parameters or variables (referred to as "hidden variables") that determine the behavior of quantum systems. These hidden variables are thought to provide a more complete description of quantum phenomena, potentially addressing the randomness and indeterminacy inherent in standard quantum mechanics. In standard quantum mechanics, the outcomes of measurements are probabilistic.

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