Pidduck polynomials are a sequence of orthogonal polynomials that arise in the context of serial correlation and some applications in probability theory and statistics. They are named after the mathematician who studied them, Arthur Pidduck. These polynomials can be defined through a recurrence relation or in terms of an explicit formula involving factorials and powers. They typically exhibit certain orthogonality properties with respect to a weight function over a specified interval.
A tube, in the context of fluid conveyance, refers to a hollow cylindrical structure designed to transport fluids (liquids or gases) from one location to another. Tubes can be made from various materials, including metals (such as steel or aluminum), plastics (such as PVC or polyethylene), rubber, glass, and composites. The specific material used often depends on the application, the type of fluid being transported, and the environmental conditions.
Sonic characteristics of marine species refer to the various ways in which marine organisms produce, perceive, and use sound in their underwater environments. Sound plays a crucial role in the lives of many marine animals, serving various functions such as communication, navigation, predator avoidance, and foraging. Here are some key sonic characteristics of marine species: 1. **Bioacoustics**: Many marine animals produce sounds as part of their communication.
The Centre for Nanosciences and Nanotechnologies (C2N) is typically a research institution focused on the study and application of nanoscience and nanotechnology. These centers are dedicated to advancing knowledge and innovation in areas involving materials at the nanoscale (typically 1 to 100 nanometers) and exploring their unique physical, chemical, and biological properties.
Finite differences is a numerical method used to approximate derivatives of functions. It involves the use of discrete data points to estimate rates of change, which is particularly useful in fields such as numerical analysis, computer science, and engineering. The basic idea behind finite differences is to replace the continuous derivative of a function with a discrete approximation.
The Subgraph Isomorphism Problem is a well-known problem in computer science and graph theory. It revolves around the challenge of determining whether a particular graph \( H \) (the "pattern" or "subgraph") is isomorphic to a subgraph of another graph \( G \). ### Definitions 1.
The Central Bureau of Statistics (CBS) in Aruba is the government agency responsible for the collection, analysis, and dissemination of statistical information related to Aruba. It operates under the Ministry of Finance, Economic Affairs, and Culture and aims to provide accurate and reliable data that supports informed decision-making by government, businesses, and the public. The CBS conducts various surveys and research projects to gather data on demographics, the economy, labor market conditions, social issues, and other relevant topics.
In "Miami Vice," firearms are often depicted as essential elements that contribute to the show's gritty, action-oriented narrative. The series, which aired from 1984 to 1989, is known for its stylish portrayal of the Miami drug trade and the law enforcement efforts to combat it. The characters, particularly the two main protagonists, Sonny Crockett (played by Don Johnson) and Ricardo Tubbs (played by Phillip Michael Thomas), frequently engage in high-stakes confrontations that involve various firearms.
Firefox extensions are small software programs that add functionality to the Firefox web browser. These extensions, also known as add-ons or plugins, can enhance the browser's capabilities by providing new features, optimizing performance, and customizing the user experience. Here are some key points about Firefox extensions: 1. **Functionality**: Extensions can provide a wide range of functionalities, such as ad-blocking, password management, productivity tools, privacy enhancements, and social media integration.
The Rayleigh number (Ra) is a dimensionless number that characterizes the flow and stability of fluids in a system when buoyancy forces are significant compared to viscous forces. It is particularly important in the study of convection, particularly natural convection, where fluid motion is induced by differences in temperature and thus density.
Taylor dispersion refers to the phenomenon where the dispersion of a solute in a fluid flow is enhanced due to the combined effects of advection (the transport of a substance by bulk motion of the fluid) and diffusion (the spread of particles from areas of high concentration to areas of low concentration). It is named after the mathematician G.I. Taylor, who studied this effect in the context of fluid dynamics.
"The Best of Pure Voice" is typically associated with a collection or album featuring a selection of tracks by Pure Voice, which may include genres such as vocal performances, classical music, or contemporary vocal artists. The term could also refer to collections of music that highlight exceptional vocal talent across various styles.
The Flack parameter, often denoted as \( f \), is a term used in crystallography to describe the absolute configuration of a chiral molecule. It is particularly relevant when analyzing the results of X-ray crystallography experiments, where the precise arrangement of atoms in a crystal is determined. The Flack parameter provides information about the enantiomeric composition of the crystal structure.
The term "160-minute solar cycle" refers to a specific periodic phenomenon observed in the Sun's atmosphere, particularly in the context of solar magnetic activity and oscillations. One key aspect of this cycle is its association with the solar atmosphere's behavior, including coronal loops and solar flares. The cycle typically lasts approximately 160 minutes, and it is often observed in the context of solar oscillations and the magnetic field dynamics within the solar corona.
The year 1928 is notable in robotics primarily due to the work of British mathematician and engineer William Grey Walter. In that year, he created some of the first autonomous robots, known as "tortoises." These were simple electromechanical devices that could exhibit behavior resembling life and intelligence. The tortoises were designed to navigate their environment, respond to light, and avoid obstacles, demonstrating fundamental principles of feedback and control systems.
The number 87 is an integer that follows 86 and precedes 88. It is an odd number and can be expressed in various ways: - **Mathematically:** 87 can be represented as the sum of two numbers, such as 40 + 47 or 50 + 37. - **In Roman Numerals:** 87 is written as LXXXVII. - **In Binary:** The binary representation of 87 is 1010111.
Peter Mittelstaedt is a notable figure in the field of physics, particularly known for his contributions to quantum mechanics and foundational aspects of quantum theory. He has published various works discussing the philosophical implications of quantum mechanics and has been involved in debates about the nature of reality as described by quantum physics.
Vladimir Ilyin is a mathematician known primarily for his contributions to the field of functional analysis, differential equations, and numerical methods. His work often focuses on areas such as approximation theory, operator theory, and the analysis of mathematical models. Ilyin has also contributed to the development of mathematical education and the application of mathematics in various fields, including science and engineering. His research may touch upon the interplay between theoretical work and practical application, which is vital for advancing both pure and applied mathematics.
The Absorption Law is a principle in both Boolean algebra and set theory that describes how certain operations can "absorb" each other to simplify expressions.
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 2. You can publish local OurBigBook lightweight markup files to either OurBigBook.com or as a static website.Figure 3. Visual Studio Code extension installation.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. - 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