An apparent horizon is a term used in the context of general relativity and black hole physics. It is defined as a surface beyond which no light or other forms of radiation can escape to an outside observer. Unlike the event horizon, which is a global feature of a black hole that delineates the boundary beyond which events cannot impact an outside observer, the apparent horizon can be a more localized and dynamic feature.
The arc measurement of Delambre and Méchain refers to the measurement of a meridian arc in France conducted in the late 18th century by the French scientists Jean-Baptiste Delambre and Pierre Méchain. This undertaking was an essential part of the effort to establish a definitive metric system and to provide a basis for the definition of the meter. Delambre and Méchain measured the arc of the meridian between Dunkirk in the north of France and Barcelona in the south.
Arnold is a high-quality rendering engine used primarily in the field of visual effects and animation. It is developed by Solid Angle, which was acquired by Autodesk. Arnold is designed for handling complex 3D scenes and is known for its physically-based rendering capabilities, allowing artists to create realistic images. Here are some key features and attributes of Arnold: 1. **Ray Tracing**: Arnold uses ray tracing technology to simulate the way light interacts with surfaces, producing highly realistic images.
An asymmetric graph, often referred to in the context of graph theory, typically means that the graph lacks symmetry in its structure. More formally, a graph is considered asymmetric if it does not have non-trivial automorphisms, which are mappings from the graph to itself that preserves the structure (i.e., the vertices and edges).
A Primefree sequence, also known as a prime-free sequence, is a sequence of natural numbers that does not contain any prime numbers. In other words, every number in a primefree sequence is either 1 or a composite number. The concept of primefree sequences is often used in number theory and can serve various applications, such as studying properties of composite numbers or analyzing growth rates of integer sequences without primes.
Augmented Backus–Naur Form (ABNF) is a notation used to express the syntax of languages, particularly programming languages and data formats. It is an extension of the original Backus–Naur Form (BNF), which was developed by John Backus and Peter Naur in the 1960s. ABNF incorporates several enhancements and features that make it more expressive and convenient compared to standard BNF.
Lunar resources refer to the materials and elements that can be found on the Moon, which have the potential for extraction and utilization for various purposes. These resources are of significant interest for both scientific research and the support of future lunar exploration and colonization efforts. Some of the key lunar resources include: 1. **Water Ice**: Found primarily in permanently shadowed craters at the lunar poles, water ice can be extracted and used for drinking, as well as for producing oxygen and hydrogen for fuel.
August Leopold Crelle was a German mathematician best known for his contributions to algebra and for founding the journal "Journal für die reine und angewandte Mathematik," commonly known as Crelle's Journal, in 1826. The journal became an important publication in the field of mathematics, providing a platform for new research and developments in various mathematical topics.
The Bach tensor is a mathematical object in the field of differential geometry, specifically within the study of Riemannian and pseudo-Riemannian manifolds. It is a derived tensor that is associated with the Ricci curvature and the Weyl tensor, and it plays an important role in the classification of the geometric properties of manifolds. More precisely, the Bach tensor is defined in the context of four-dimensional Riemannian manifolds and is related to the conformal structure of the manifold.
Emil Cioran was a Romanian philosopher, essayist, and memoirist, born on April 8, 1911, in Rășinari, Romania, and died on June 20, 1995, in Paris, France. He is known for his profound pessimism and existential thought, often reflecting on themes such as despair, the nature of existence, and the futility of life.
An Energy-Based Model (EBM) is a type of probabilistic model used in machine learning and statistics that associates a scalar energy value with each configuration (or state) of the model. The main idea is to define a system where the probability distribution of configurations is related to their energy, typically such that lower energy states are more probable.
Eastern Macedonia and Thrace is a geographic and administrative region in northern Greece. It is situated in the northeastern part of the country, bordered by Bulgaria to the north and Turkey to the east. This region encompasses three regional units: Xanthi, Rodopi, and Drama, as well as parts of the Kavala regional unit and the city of Alexandroupolis.
Ecoauthoritarianism refers to a political system or ideology that prioritizes environmental protection and sustainability through authoritarian means. In such a system, the government imposes strict regulations and control over individuals, industries, and communities to achieve ecological goals, often justifying these actions by emphasizing the urgency of environmental crises like climate change, biodiversity loss, and pollution.
Rainer K. Sachs is a prominent figure in the field of scientific research, particularly known for his work in physics and applied mathematics. He has made significant contributions to various areas, including statistical mechanics, turbulence, and the theoretical aspects of complex systems. Sachs is also recognized for his interdisciplinary approach, bridging concepts from physics and applied mathematics to address complex problems.
The term "getter" can refer to different concepts depending on the context. Here are a few possible interpretations: 1. **Programming**: In programming, a "getter" is a method used in object-oriented programming to retrieve the value of an object's property. It usually follows a naming convention, often prefixed with "get," such as `getName()` or `getAge()`. Getters play a crucial role in encapsulation by allowing controlled access to the values contained in an object.
Elette Boyle does not appear to be a widely recognized term, person, or concept based on the information available up until October 2023. It is possible that Elette Boyle may refer to a private individual, a lesser-known figure, or a term that has emerged more recently.
The elongated triangular gyrobicupola is a type of Polyhedral structure, specifically classified as a convex polyhedron in the category of Archimedean solids. It is formed by the combination of two triangular cups connected by a central column. This configuration can be visualized as taking a triangular bicupola (which itself consists of two triangular pyramids joined at their bases) and extending it vertically, resulting in an elongated shape.
Computational epistemology is an interdisciplinary field that combines concepts and methods from epistemology—the study of knowledge, belief, and justification—with computational techniques and models. It seeks to understand and formalize the processes by which knowledge is acquired, justified, and transmitted using computational tools and frameworks. Here are some key aspects of computational epistemology: 1. **Formal Models of Knowledge**: Computational epistemology often involves creating formal representations of epistemic concepts such as belief, evidence, and rationality.
The bilinear transform is a mathematical technique used in the field of signal processing, control systems, and digital filter design. It is a specific mapping used to convert continuous-time systems (typically represented in the s-domain) into discrete-time systems (typically represented in the z-domain) while preserving certain properties of the system, such as stability and frequency response.
Computer cartography is the use of computer technology to create, analyze, and manipulate maps and geographic information. It involves the application of software and tools to generate cartographic representations of spatial data, allowing for a more efficient and accurate way to visualize geographic information. Key components of computer cartography include: 1. **GIS (Geographic Information Systems)**: These systems are integral to computer cartography and are used for capturing, storing, analyzing, and managing spatial data.
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