The Aufbau principle is a fundamental concept in quantum chemistry and atomic physics that describes the process by which electrons populate atomic orbitals in a particular order. According to this principle, electrons fill atomic orbitals starting from the lowest energy level and move to higher energy levels only after the lower ones are filled. The general guideline for this filling order is summarized by the "n + l" rule, where "n" is the principal quantum number and "l" is the azimuthal quantum number.
Inference Corporation is a company that specializes in artificial intelligence and natural language processing technologies, often focusing on providing solutions that enhance customer engagement and automate business processes. Founded in the early 1990s, the company has developed various software and applications that utilize AI to improve decision-making and operational efficiency. Their products typically cater to industries like telecommunications, finance, and customer service.
Physical Review Fluids is a peer-reviewed scientific journal that focuses on research in the field of fluid dynamics. It is part of the Physical Review family of journals published by the American Physical Society (APS). The journal covers a wide range of topics related to fluids, including theoretical, computational, and experimental studies.
The European Data Format (EDF) is a file format used for storing and sharing time-series data, particularly for biological and physiological signals, such as electroencephalograms (EEGs), electromyograms (EMGs), and other biomedical measurements. EDF was developed to facilitate the exchange of data between different systems and software tools. Key features of the EDF include: 1. **Standardization**: EDF provides a standardized way of representing data, which helps ensure compatibility between different devices and software applications.
The limit of a function is a fundamental concept in calculus and mathematical analysis that describes the behavior of a function as its input approaches a certain value. Essentially, the limit helps us understand what value a function approaches as the input gets closer to a specified point, which may or may not be within the domain of the function.
Crystal Ball is a statistical function often used in the field of risk management, forecasting, and predictive analytics. Specifically, it is a type of probability distribution known for modeling data that follows a power law, especially in the context of uncertainty and extreme values. The Crystal Ball function is particularly relevant in financial modeling, project management, and various engineering applications.
A multivalued function is a type of mathematical function that, for a given input, can produce more than one output. This contrasts with a standard function, where each input (from the domain) is associated with exactly one output (in the codomain). Multivalued functions commonly arise in various areas of mathematics, particularly in complex analysis and when dealing with inverse functions.
Friederike Mengel is a notable researcher in the field of economics, particularly known for her work in game theory and experimental economics. She is a professor and has contributed to various studies exploring how individuals make decisions in strategic situations. Mengel's research often involves empirical methods to understand behavior in economic contexts and how different variables can affect decision-making processes.
Risk dominance is a concept from game theory that helps determine which of several potential strategies or equilibria in a game is more likely to be chosen by players when they are unsure of the actions of others. It is particularly useful in coordination games, where players have to make decisions without knowing what others will choose.
A **Cauchy space** is a concept from the field of topology and analysis, named after the mathematician Augustin-Louis Cauchy. It generalizes certain properties of sequences and convergence in metric spaces, allowing for a more abstract setting in which to study convergence and completeness. In more formal terms, a **Cauchy space** is defined in the following way: 1. **Set and Filter**: Start with a set \( X \).
The Eberlein compactum is a specific topological space that is an example of a compact space which is not metrizable. It is constructed using the properties of certain compact sets in the space of continuous functions. More formally, an Eberlein compactum can be described as a subspace of the space of all bounded sequences of real numbers, specifically the closed bounded interval [0,1] or some analogous bounded topological space. The compactum is named after the mathematician P.
The Hellenic Geodetic Reference System 1987 (HGRS87) is a geodetic datum used in Greece for mapping and surveying. It was established to provide a consistent framework for geographic coordinate systems and geospatial data within the country. The system is based on the geodetic reference frame defined by the International Terra Reference Frame (ITRF), which was adapted to fit the specific geographical and geological conditions of Greece.
Tide can refer to several different things, depending on the context: 1. **Oceanography**: Tide refers to the regular rise and fall of sea levels caused by the gravitational forces exerted by the Moon and the Sun, combined with the Earth's rotation. Tides are typically observed in cycles of approximately 12 hours and can significantly influence coastal ecosystems and activities. 2. **Laundry Detergent**: Tide is a brand of laundry detergent produced by Procter & Gamble.
Boyd Crumrine Patterson was an influential American lawyer and politician who served as a significant political figure in Pennsylvania. He was born on August 4, 1910, and passed away on March 23, 1991. Patterson was best known for his role as a member of the Pennsylvania House of Representatives, where he made contributions to legislative processes and local governance. He played a notable role in advocating for various issues during his tenure, helping to shape public policy in the state.
Ferroelectric materials are a class of dielectric materials that exhibit a spontaneous electric polarization that can be reversed by the application of an external electric field. This polarization occurs even in the absence of an external electric field, meaning that ferroelectric materials have a non-centrosymmetric crystal structure, allowing for the alignment of electric dipoles within the material.
Jean-Joseph Kapeller was a notable figure in the world of art, specifically recognized as a French painter associated with the 19th century. He is primarily known for his works in the academic tradition, focusing on historical and genre scenes. While his contributions may not be as widely known as some of his contemporaries, he played a role in the artistic movements of his time.
The term "2-sided" can refer to various concepts depending on the context. Here are a few interpretations: 1. **Physical Objects:** In a physical sense, something that is 2-sided has two distinct sides. This could refer to paper, signs, or any flat object that has a front and a back. 2. **Negotiation:** In the context of negotiation or discussions, a 2-sided approach implies that both parties have the opportunity to express their views, concerns, or proposals.
Manifold decomposition is a concept in mathematics and machine learning that involves breaking down complex high-dimensional datasets into simpler, more manageable structures known as manifolds. In this context, a manifold can be understood as a mathematical space that, on a small scale, resembles Euclidean space but may have a more complicated global structure. ### Key Concepts: 1. **Manifolds**: A manifold is a topological space that locally resembles Euclidean space.
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