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.
"Ruina montium" is a Latin term that translates to "the ruin of mountains." In a geological context, it refers to a phenomenon where the natural processes of erosion, weathering, or human activities lead to the degradation or collapse of mountainous landscapes. In a biological or ecological context, it could also refer to the impacts of such geological changes on local ecosystems, including alterations to habitats, species distribution, and environmental conditions.
Secondary circulation refers to the smaller, additional patterns of air movement that occur within the larger, primary circulation systems in the atmosphere. While primary circulation is driven by large-scale factors such as temperature gradients, Earth's rotation (Coriolis effect), and the general circulation of the atmosphere, secondary circulation often arises from more localized phenomena. Examples of secondary circulation include: 1. **Sea Breezes and Land Breezes**: These occur due to differential heating between land and water bodies.
Sweeping jet actuators are devices used in fluid dynamics and aerospace engineering to manipulate airflow over surfaces, particularly in applications such as active flow control for aircraft. These actuators function by ejecting jets of fluid (usually air) at specific angles and velocities to create a "sweeping" motion, which can influence the behavior of the airflow in surrounding areas. **Key Features and Functions:** 1.
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 Laver property is a concept in set theory, particularly in the field of large cardinals and the study of the structure of the set-theoretic universe. It is associated with the existence of certain types of elementary embeddings. More specifically, the Laver property is defined in relation to elementary embeddings and the preservation of certain cardinal characteristics under these embeddings.
The term "systems of set theory" generally refers to the various formal frameworks or axiomatic systems used to formulate and study the properties of sets. Set theory is a branch of mathematical logic that explores sets, which are essentially collections of objects. Here are some of the most prominent systems of set theory: 1. **Zermelo-Fraenkel Set Theory (ZF)**: This is perhaps the most commonly used axiom system for set theory.
"The Great Mathematical Problems" is not a singular, universally recognized title; rather, it broadly refers to several significant unsolved problems and challenges within the field of mathematics. Many of these problems have historical significance, driven advancements in mathematics, and have inspired countless mathematical research efforts.
The Existential Theory of the Reals, often discussed in the context of mathematical logic and model theory, relates to the study of the properties of real numbers as represented in certain logical frameworks. It focuses on the notion of whether certain mathematical statements can be expressed as true or false when considering the real numbers. In particular, the existential theory of the reals often examines the sets of real numbers defined by existentially quantified formulas. These formulas are statements that assert the existence of certain elements satisfying given conditions.
A Physical Symbol System (PSS) is a concept in artificial intelligence and cognitive science that refers to a system capable of creating, manipulating, and understanding symbols in a physical form. The term was popularized by Allen Newell and Herbert A. Simon in the 1970s as part of their work on human cognition and the foundations of AI. ### Key Characteristics of Physical Symbol Systems: 1. **Symbol Representation**: A PSS uses symbols to represent knowledge and information.
The Pocono Conference is an annual event primarily focused on educational and leadership development for student government leaders at both the high school and college levels. Typically held in the Pocono Mountains region of Pennsylvania, the conference provides opportunities for students to network, share ideas, and participate in workshops and activities aimed at enhancing their leadership skills, fostering collaboration, and promoting effective governance within their respective institutions.
Robinson arithmetic, denoted as \( R \), is a weak system of arithmetic that is part of the field of mathematical logic and foundational studies. It was introduced by the mathematician and logician John Robinson in the 1950s. The key features of Robinson arithmetic include: 1. **Language**: The language of Robinson arithmetic includes a number of basic symbols for logical operations (like conjunction and disjunction), equality, and a unary function symbol typically interpreted as a successor function.
Skolem arithmetic is a branch of mathematical logic that deals with the arithmetic of the natural numbers and is based on the systems introduced by the Norwegian mathematician Thoralf Skolem. It is particularly focused on the study of sequences, functions, and relations that can be defined using certain logical frameworks, including the use of quantifiers. In more formal terms, Skolem arithmetic can be seen as an extension of first-order arithmetic where the focus is on the properties of functions and relations defined on the natural numbers.
The Bohr model is a fundamental theory of atomic structure proposed by the Danish physicist Niels Bohr in 1913. It was developed to explain the behavior of electrons in atoms, particularly the hydrogen atom, and it marked a significant advancement in the field of quantum mechanics and atomic physics.
Transformation theory in quantum mechanics is a framework for understanding how physical systems evolve over time and how they are described mathematically. It primarily addresses the relationship between different representations of a quantum state, particularly in the context of how quantum states change under various transformations. The core concepts of transformation theory can be summarized as follows: 1. **State Representation**: In quantum mechanics, the state of a system can be described using wave functions (in the position representation) or state vectors in a Hilbert space.
Photon energy is the energy carried by a single photon, which is a fundamental particle representing a quantum of light or electromagnetic radiation. The energy of a photon is directly related to its frequency and inversely related to its wavelength.
The Planck relation, also known as Planck’s law, describes the relationship between the energy of a photon and its frequency (or wavelength). It is a fundamental equation in quantum mechanics that reflects the quantization of electromagnetic radiation. The relation is given by: \[ E = h \nu \] where: - \( E \) is the energy of the photon, - \( h \) is Planck's constant (\( 6.
The colonization of trans-Neptunian objects (TNOs) refers to the hypothetical concept of human settlement or exploration of celestial bodies located in the region beyond the orbit of Neptune, which includes a variety of objects such as dwarf planets (like Pluto and Eris), comets, and asteroids. This area of the solar system is part of the Kuiper Belt, a vast region that contains many small, icy bodies.
A Dyson tree is a hypothetical concept related to the idea of using advanced technology to harness resources from other celestial bodies, particularly in the context of space colonization and resource extraction. The term is named after physicist Freeman Dyson, who proposed the concept as part of his broader ideas about megastructures and energy collection in space.
George Dyson (1883–1964) was an English composer and conductor known for his contributions to classical music in the early to mid-20th century. He is particularly recognized for his orchestral works, choral music, and a significant number of compositions for various ensembles. Dyson's style is characterized by a blend of traditional harmonic language and a more modern sensibility, reflecting influences from the earlier English choral tradition as well as broader European music trends of his time.
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





