Dual \( q \)-Hahn polynomials are a class of orthogonal polynomials that arise in the context of basic hypergeometric series and \( q \)-analysis. They can be considered a $q$-analogue of classical orthogonal polynomials, such as the Hahn polynomials.
The Bäcklund transform is a method used in the field of differential equations, particularly in the theory of integrable systems. It is named after Swedish mathematician Lars Bäcklund, who introduced it in the context of generating new solutions from known ones for certain types of partial differential equations (PDEs). The Bäcklund transform has several important features: 1. **Generation of Solutions**: It allows for the construction of new solutions from existing ones.
A "bag" is a unit of measurement that is often used to quantify bulk materials, and it can vary in size and weight depending on the context and the material being measured. The term "bag" is commonly associated with items such as agricultural products (e.g., grains, seeds), chemicals, and other bulk commodities.
A Principal Meridian is a fundamental reference line used in the Public Land Survey System (PLSS) in the United States. The PLSS is a method for surveying and categorizing land to facilitate property ownership and land management. The Principal Meridian serves as a starting point for defining the township and range system used in the PLSS. Each Principal Meridian is associated with a specific geographic area and is typically accompanied by a Baseline, which runs perpendicular to it.
In the context of matrices, the term "balanced matrix" can refer to a few different concepts depending on the specific field of study: 1. **Statistical Balanced Matrices**: In statistics, particularly in experimental design, a balanced matrix often refers to a design matrix where each level of the factors has the same number of observations. This ensures that the estimates of the effects are not biased due to unequal representation.
The Banana Equivalent Dose (BED) is a humorous and insightful way to illustrate the concept of radioactivity and radiation exposure by comparing it to the radiation exposure one would receive from eating bananas. Bananas contain potassium-40, a naturally occurring radioactive isotope of potassium. The BED is often used to provide context for understanding the levels of radiation exposure from various sources, including natural background radiation and medical procedures. A common estimate is that eating one banana exposes a person to about 0.
Ball lightning is a rare and poorly understood atmospheric phenomenon that appears as glowing, spherical objects, typically ranging in size from a few centimeters to several meters in diameter. These spheres can last for a few seconds to several minutes and can display different colors, usually red, orange, or yellow. Reports of ball lightning often occur during thunderstorms, and witnesses have described it moving erratically through the air, passing through windows, and even following people.
The Banach fixed-point theorem, also known as the contraction mapping theorem, is a fundamental result in fixed-point theory within the field of analysis.
The Rocky Flats Plant, located near Denver, Colorado, was a site of nuclear weapons production and research from the 1950s until its closure in the late 1990s. It was primarily involved in the manufacturing of plutonium triggers for nuclear bombs. Over the years, the operations at the facility led to significant environmental concerns, particularly regarding radioactive contamination.
Edward Frankland was a notable British chemist, born in 1825 and died in 1899. He is best known for his work in organic chemistry, particularly for his contributions to the understanding of chemical bonds and the development of the concept of valency, which describes how atoms in molecules bond to each other. Frankland's research significantly advanced the field of organic chemistry, and he was also instrumental in establishing the study of coordination compounds.
Raimundo Lida is often associated with the field of translation, particularly in the context of Spanish literature and the literary translations he produced. He is known for his work in translating various texts, contributing to the accessibility of Spanish literature to a broader audience.
Einstein's Unfinished Revolution refers to the ongoing efforts in theoretical physics to fully integrate and unify the theories of quantum mechanics and general relativity. This term suggests that while Albert Einstein made revolutionary contributions to our understanding of the universe, specifically through his contributions to relativity and quantum theory, there remain unresolved questions and inconsistencies between these two foundational frameworks. Einstein’s general relativity describes the force of gravity as the curvature of spacetime caused by mass, providing a comprehensive description of large-scale phenomena.
Rainville polynomials are a sequence of orthogonal polynomials that arise in the context of asymptotic analysis and approximations in mathematical physics. They are named after the mathematician Edward D. Rainville, who contributed to their study. These polynomials can be associated with certain weight functions in integration, and they often appear in problems related to probability, statistics, and other areas of applied mathematics.
Elena Deza is a character from the popular Japanese visual novel and dating simulation game series known as "Danganronpa." She is one of the students who participates in the game, which revolves around a deadly survival game where characters must solve murders and face moral dilemmas. Elena is often characterized by her unique personality traits and plays a significant role in the story's development.
Emporius can refer to various entities depending on context, but it is most commonly known as a term associated with commerce or trade. In ancient Greek, "emporia" referred to trading posts or markets where merchants would gather to buy and sell goods. Additionally, "Emporius" is also a name used by some contemporary businesses, platforms, or technologies, often related to e-commerce, trading, or financial services.
The Banff International Research Station (BIRS) is a renowned research institute located in Banff, Alberta, Canada. Established in 2003, BIRS hosts workshops and collaborative research initiatives primarily in the fields of mathematics and related disciplines. It provides a conducive environment for researchers from around the world to gather, share ideas, and collaborate on various mathematical problems and theories. BIRS emphasizes a collaborative research model, encouraging interdisciplinary approaches and fostering discussions among mathematicians, scientists, and other researchers.
It seems that there isn't any widely known information or notable reference regarding "Barbara Wohlmuth" in publicly available sources up to October 2023. It's possible that she may not be a public figure or that information may be limited or context-specific.
A barograph is a type of barometer that continuously records atmospheric pressure over time. It typically consists of a barometric pressure sensor connected to a pen that traces a line on a rotating drum or a digital display. As atmospheric pressure changes, the pen moves up or down, creating a graph that illustrates pressure fluctuations over the period of time being measured. Barographs are commonly used in meteorology to help track weather patterns and changes in atmospheric pressure, which can be valuable for forecasting weather.
Vyacheslav Danilenko is a notable figure in the field of science and technology, particularly known for his work in nanotechnology and materials science. He has contributed to research on laser technology and its applications in various fields. Danilenko's work has implications for the development of advanced materials, including those used in optics and electronics.
The term "basilic" (or "basilisk") in the context of cannons typically refers to a large artillery piece used in the late medieval and early modern periods. "Basilisk" was a name used for a type of cannon that was characterized by its long barrel and larger caliber, designed to fire heavy projectiles. The basilisk cannon was known for its ability to inflict significant damage on fortifications and enemy troops.
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





