The 8th century was a significant period in the history of mathematics, particularly in the context of the Islamic Golden Age. During this time, various mathematicians made noteworthy contributions, building on the knowledge from earlier civilizations, such as the Greeks, Indians, and Persians.
A A Mamun may refer to various individuals or contexts, but one notable person is A.A. Mamun, an academic and researcher often associated with work in fields like engineering, technology, and education.
The AA postulate, or the Angle-Angle similarity postulate, is a fundamental principle in geometry that states that if two triangles have two angles that are equal, then the triangles are similar. This means that their corresponding sides are in proportion, and their corresponding angles are also equal.
The ABCD Schema is a framework often used in the field of education and instructional design to create clear and measurable learning objectives. It stands for: 1. **A - Audience**: Identifies who the learners or participants will be. For example, "students," "employees," or "participants in a workshop." 2. **B - Behavior**: Specifies what the learner will be able to do after the instruction.
Abdul Matin Chowdhury could refer to various individuals, but one notable figure by that name is a Bangladeshi politician and a member of the Awami League party. His involvement in politics and contributions to society might vary over time, and additional context would be required to provide specific information.
"Abiyun al-Bitriq" is not a widely recognized term in English or in major disciplines. It sounds like it might refer to a specific cultural or historical concept, name, or potentially a misspelling or phonetic rendition of something else. It could also be a reference in literature, philosophy, or a local idiom that is less known in broader contexts.
A functor category is a type of category in category theory that is constructed from a given category using functors. To understand this concept, we need to break it down into a few components: 1. **Categories**: A category consists of objects and morphisms (arrows) between those objects that satisfy certain properties, such as associativity and the existence of identity morphisms.
Fundamenta Informaticae is a scientific journal that publishes research in the area of computer science and its foundational aspects. It covers a wide range of topics, including theoretical computer science, algorithm analysis, software engineering, and related fields. The journal aims to provide a platform for the dissemination of high-quality research articles, surveys, and theoretical studies that contribute to the understanding and development of the discipline.
Absolute phase refers to the specific phase relationship of a periodic wave or signal at a given point in time with respect to a fixed reference point, typically measured in degrees or radians. In various fields such as physics, engineering, and acoustics, understanding the absolute phase of a waveform is important because it can influence the interference, superposition, and perception of the wave. In audio contexts, for example, absolute phase can affect how sounds are perceived when multiple audio signals are combined.
Absorption in chemistry refers to a process in which one substance is taken up into the structure of another substance. This typically involves a solute being absorbed by a solvent, leading to a homogeneous mixture, or it might involve gas or liquid being absorbed by a solid. In a more specific context, absorption can occur in various scenarios: 1. **Liquid-Liquid Absorption**: In this case, a solute from one liquid is absorbed into another liquid phase.
Abu Bakr al-Hassar is not a widely recognized figure or term in historical or contemporary contexts as of my last training cut-off in October 2023. It is possible that the name may refer to a lesser-known individual, a local figure, or a topic that hasn't garnered significant attention in mainstream media or academic discourse.
An abyssal plain is a flat or gently sloping area of the ocean floor, typically found at depths between 3,000 to 6,000 meters (approximately 10,000 to 20,000 feet). These plains are among the Earth's most extensive and least explored environments, covering more than 50% of the Earth's surface. Abyssal plains are primarily composed of sediments, including clay, silt, and organic material that has settled from the water column above.
The Abyss Box is a proprietary hardware device that is part of the Abyss ecosystem, designed for gamers and gaming enthusiasts. It serves as a platform for accessing a variety of games and experiences, often with features that enhance user interaction and integration with online gaming communities. The structure of the Abyss Box typically includes elements like game storage, transfer capabilities, and potential virtual reality (VR) support, depending on the specific implementation.
Affine action refers to the operation or transformation that a group (often a group of symmetries, like a linear group) has on a vector space that combines linear transformations with translations. In a more formal mathematical context, the affine action can be described as a way that an affine group acts on affine spaces or vector spaces.
The "Académie de Physique" typically refers to an academic institution or organization dedicated to the study and promotion of physics. While the term could apply to various institutions in French-speaking countries, it is not a specific, universally recognized entity like the Royal Society or the American Physical Society. Such academies may be involved in research, education, and the dissemination of knowledge in the field of physics. They often also organize conferences, publish research findings, and provide networking opportunities for physicists.
An accelerometer is a device that measures the acceleration forces acting on it. These forces can be static, such as the constant pull of gravity, or dynamic, caused by movement or vibrations. Accelerometers are commonly used in various applications, including: 1. **Smartphones and Tablets**: For screen orientation detection (switching between portrait and landscape modes) and for motion-based controls in games.
The term "accidental viewpoint" isn't widely recognized in a specific academic or professional context, but it can be interpreted in a couple of ways depending on the context in which it is used. Here are a few possible interpretations: 1. **Philosophical Context**: In philosophy, an accidental viewpoint may refer to a perspective that is not based on systematic reasoning or intentional inquiry but rather arises by chance or coincidence.
In the context of functional analysis and harmonic analysis, a paraproduct is a critical concept used to analyze and decompose functions, particularly in relation to products of functions and their properties in various function spaces, such as \(L^p\) spaces. Formally, a paraproduct can be understood as an operator that takes two functions and produces a product that captures certain desirable or manageable properties of the original functions.

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!
We have two killer features:
  1. 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-calculus
    Articles 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/derivative
  2. 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.
    Figure 2.
    You can publish local OurBigBook lightweight markup files to either https://OurBigBook.com or as a static website
    .
    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.
  3. https://raw.githubusercontent.com/ourbigbook/ourbigbook-media/master/feature/x/hilbert-space-arrow.png
  4. Infinitely deep tables of contents:
    Figure 6.
    Dynamic article tree with infinitely deep table of contents
    .
    Descendant pages can also show up as toplevel e.g.: ourbigbook.com/cirosantilli/chordate-subclade
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