Charlier polynomials are a sequence of orthogonal polynomials that arise in probability and analysis. They are a specific case of hypergeometric polynomials and can be defined in the context of the Poisson distribution. The Charlier polynomials \( C_n(x; a) \) are defined as follows: \[ C_n(x; a) = \sum_{k=0}^{n} \frac{(-1)^{n-k}}{(n-k)!
Abortion initiation refers to the process where a pregnancy is intentionally terminated, and "abortive initiation" specifically pertains to the methods and practices used to begin this process. There are several approaches to abortion, including: 1. **Medical Abortion**: Involves the use of medications to induce an abortion. This typically includes a combination of mifepristone (which blocks the hormone progesterone) and misoprostol (which causes the uterus to contract and expel its contents).
Abrasive blasting, also known as sandblasting or media blasting, is a surface treatment process used to clean, finish, or prepare surfaces by propelling abrasive materials at high velocities. This technique is commonly employed in various industries for applications such as removing paint, rust, or corrosion from metals, cleaning surfaces before painting or coating, and creating textured finishes.
Abrasive Flow Machining (AFM) is a precision machining process used to improve the surface finish and shape of part features that can be difficult to reach using traditional machining methods. It utilizes a flowable abrasive medium—often a viscous polymer or a viscoplastic material mixed with abrasive particles—that is forced through or across the workpiece.
ISO 31-7 is part of the ISO 31 series of international standards that deal with physical quantities and units. Specifically, ISO 31-7 addresses the topic of "Specific quantities and units" related to the field of mechanics. It lists various mechanical quantities and their corresponding units, providing a standardized framework for measurements and ensuring consistency in scientific communication.
Plücker embedding is a mathematical construction that embeds a projective space into a higher-dimensional projective space. Specifically, it is most commonly associated with the embedding of the projective space \( \mathbb{P}^n \) into \( \mathbb{P}^{\binom{n+1}{2} - 1} \) using the concept of the lines in \( \mathbb{P}^n \).
"Acid Eaters" is a term that can refer to various things, but it is most commonly associated with music, particularly with the punk and alternative rock scenes. It is notably the title of an album by the punk band *The Misfits*, released in 1994. The album consists of covers of songs by other artists, showcasing a range of influences from different genres, including punk, pop, and rock.
Motorcycling involves riding a motorcycle, which is a two-wheeled motor vehicle. It combines transportation, recreational activity, and often a sense of freedom and adventure. Motorcycling can occur on public roads, racetracks, or off-road trails. Key aspects of motorcycling include: 1. **Types of Motorcycles**: There are various types of motorcycles designed for different purposes, such as cruiser bikes, sport bikes, touring bikes, dirt bikes, and enduro bikes, among others.
Gerrit Hiemstra is a well-known Dutch meteorologist and weather presenter. He is particularly recognized for his work in broadcasting weather forecasts on Dutch television, where he provides insights into weather patterns and climatic conditions. Hiemstra is often involved in discussions surrounding climate change and meteorology in general, leveraging his expertise to educate the public about weather and environmental issues.
The term "confronted animals" doesn't refer to a widely recognized concept in biology or animal behavior as of my last update. However, it could imply situations where animals encounter each other in a way that leads to direct interactions, which may include aggression, territorial disputes, mating behaviors, or other social interactions. In a broader context, it might refer to scenarios where animals are faced with challenges or threats, whether from other animals, humans, or environmental factors.
In the context of sheaf theory in mathematics, a **constant sheaf** is a particular type of sheaf that assigns the same set (or space) to every open set of a topological space, while also encoding the necessary gluing and restriction properties of sheaves.
Container terminals are specialized facilities at ports designated for the handling and storage of shipping containers. These terminals are crucial components of international trade and logistics, enabling the efficient transfer of containers between ships, trucks, and trains. Here are some of the key features and functions of container terminals: 1. **Loading and Unloading**: Container terminals have equipment such as gantry cranes and reach stackers that facilitate the loading and unloading of containers from ships to docking stations and vice versa.
Gheorghe Păun is a Romanian computer scientist known for his significant contributions to the fields of theoretical computer science and formal languages. He is particularly recognized for his work on the theory of P systems, which are a model of computation inspired by the functioning of biological cells. Păun introduced this model in the early 2000s, and it has since become an area of active research, exploring the potential of using such systems for computing and problem-solving.
Convex and concave are terms used to describe the shapes of curves or surfaces in geometry, as well as in mathematical functions. Here's a breakdown of both concepts: ### Convex 1. **Geometry**: - A shape is convex if, for any two points within the shape, the line segment connecting these two points lies entirely within the shape. - In simpler terms, a convex shape bulges outward, and it does not have any indentations or "dents.
Correlation inequality refers to a class of mathematical inequalities that express relationships between the correlation coefficients of random variables. These inequalities provide insights into the dependence or association between random variables and can be used in statistics, probability theory, and various applied fields.
A **counter** in digital electronics is a sequential circuit that counts pulses or events. It typically consists of a series of flip-flops that can store binary values and generate a specific output based on the number of pulses received. Counters can be configured to count in various ways, including: 1. **Binary Counters**: Count in binary format. For example, a 3-bit binary counter can count from 0 (000) to 7 (111).
Dana Angluin is a prominent computer scientist known for her contributions to the fields of theoretical computer science and machine learning. She is particularly recognized for her work in the areas of algorithmic learning theory, automata theory, and formal languages. One of her notable contributions is the development of the Angluin’s algorithm, which is a method for inferring regular languages from queries and counterexamples.
Giant magnetoresistance (GMR) is a quantum mechanical effect observed in thin films made of alternating layers of ferromagnetic and non-magnetic materials. It manifests as a significant change in electrical resistance in response to an applied magnetic field. The phenomenon was first discovered in the 1980s by Albert Fert and Peter Grünberg, who were awarded the Nobel Prize in Physics in 2007 for their work on GMR.
Covariance and contravariance are concepts that primarily arise in the context of type theory, programming languages, and certain areas of mathematics, particularly when dealing with linear algebra and vector spaces. ### Covariance Covariance refers to a relationship where a change in one variable leads to a change in another variable in the same direction.
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





