Owen's T function is a special function used in statistics and probability, particularly in the context of multivariate analysis and the theory of correlated normal variables. It is denoted as \( T(a, b) \) and is defined for two non-negative parameters \( a \) and \( b \), where they typically represent the square roots of two positive numbers.
Plant Lifecycle Management (PLM) refers to the comprehensive approach and framework for managing the entire lifecycle of a manufacturing plant or facility, from its initial planning and design stages through construction, operation, maintenance, and ultimately decommissioning or repurposing. PLM integrates various processes, tools, and data across different phases to ensure efficiency, sustainability, and compliance with regulations.
Artificial neural networks (ANNs) have various architectures and types, each suited for different tasks and applications. Here are some of the most common types of artificial neural networks: 1. **Feedforward Neural Networks (FNN)**: - The simplest type of ANN where connections between the nodes do not form cycles. Information moves in one direction—from input nodes, through hidden nodes (if any), and finally to output nodes.
BIMx, which stands for Building Information Modeling (BIM) eXplorer, is a software application developed by Graphisoft that allows users to visualize and interact with BIM models. It provides an engaging way for architects, engineers, and construction professionals to present their 3D designs and project information in an easily accessible format.
Quad-edge is a data structure used primarily for representing and manipulating surfaces in computational geometry, particularly in the context of mesh representations and graph theory. It was introduced by Guibas and Stolfi in the context of dynamic planar subdivisions. ### Key Features of Quad-edge Structure: 1. **Surface Representation**: It is particularly suited for representing planar subdivisions and can efficiently handle operations like inserting and deleting edges.
A computer algebra system (CAS) is a software program that facilitates symbolic mathematics. These systems can manipulate mathematical expressions in symbolic form, allowing for tasks such as algebraic simplification, differentiation, integration, equation solving, and more. Here is a list of some well-known computer algebra systems: 1. **Mathematica** - A commercial system developed by Wolfram Research, known for its powerful capabilities and extensive libraries.
Addition-chain exponentiation is an efficient algorithm used for computing large powers of a number, particularly in the context of modular arithmetic, common in fields such as cryptography. The main idea behind addition-chain exponentiation is to represent the exponent as a sum of earlier results obtained from multiplying the base by itself and applying the operations of addition and multiplication in a structured way.
Rahmat Shoureshi is a notable figure in the field of education, particularly recognized for his work in higher education and engineering. He has served as an academic administrator and has held leadership positions at various universities. Shoureshi is noted for his emphasis on innovation in educational practices and his contributions to research and development in engineering disciplines.
In 1970, several computer companies were disestablished or went out of business as the technology landscape rapidly evolved. Some notable examples include: 1. **Data General Corporation** - Founded in 1968, Data General was known for its early minicomputers. While it was not completely disestablished until later, it faced significant challenges and declined in the early 1970s due to competition from larger companies like IBM.
Several computer companies were disestablished or ceased operations in 1971, although detailed records may be less comprehensive than for larger, more well-known companies. One of the more notable disestablishments in that year was **Bendix Corporation's computer division**, which was integrated into Allied Signal after a series of mergers and acquisitions.
In 1973, a number of computer companies were disestablished or ceased operations, though the specifics can vary based on the context and the regions involved. One notable example is: 1. **General Motors Research Laboratories (GM Research)**: While primarily an automotive company, GM was heavily involved in computing and technology development during the late 1960s and early 1970s.
Blood pressure is the force exerted by circulating blood against the walls of blood vessels, particularly the arteries. It is an essential measure of cardiovascular health and is expressed in terms of two readings: 1. **Systolic Pressure**: This is the higher number and represents the pressure in the arteries when the heart beats and pumps blood. 2. **Diastolic Pressure**: This is the lower number and indicates the pressure in the arteries when the heart is at rest between beats.
"Inventiones Mathematicae" is a well-known mathematics journal that publishes research papers in all areas of mathematics. Established in 1966, it is a peer-reviewed journal and is recognized for its high standards of quality in mathematical research. The journal covers a wide range of topics, including but not limited to pure mathematics, applied mathematics, and mathematical theories. It aims to disseminate original work that contributes significantly to the field.
Philosophy of mathematics journals are academic periodicals that publish research on topics related to the philosophical foundations, implications, and interpretations of mathematics. These journals explore various issues, such as the nature of mathematical objects, the meaning of mathematical truth, the relationship between mathematics and the physical world, the processes of mathematical reasoning, and the epistemology and ontology of mathematical knowledge.
"Algorithms" is a scholarly journal that focuses on the study and application of algorithms in various fields, including computer science, mathematics, and engineering. It publishes original research articles, reviews, and surveys that address both theoretical aspects and practical applications of algorithms. The journal covers a broad range of topics, such as algorithm design, complexity theory, data structures, computation models, and applied algorithms in areas like data mining, artificial intelligence, and optimization.
The Bulletin of Mathematical Sciences is an academic journal that publishes research articles, survey papers, and other mathematical content. Established to promote and disseminate important developments in the field of mathematics, the journal typically features articles covering a wide range of mathematical topics, including pure mathematics, applied mathematics, and interdisciplinary studies involving mathematics. The aim of the Bulletin is to provide a platform for mathematicians to share their findings, review current trends, and highlight significant advancements in the discipline.
Sandi Klavžar is a mathematician known for his contributions to various areas of mathematics, including topology and algebra. Specific information about his research interests, academic background, or publications may vary, and I might not have the latest updates.
The "Chinese Annals of Mathematics, Series B" is a mathematical journal that publishes research papers in various areas of mathematics. It is part of the larger "Chinese Annals of Mathematics" series, which is split into different sections, with Series B focusing on a broad range of topics including but not limited to pure mathematics, applied mathematics, and mathematical sciences.
Electronic Transactions on Numerical Analysis (ETNA) is a peer-reviewed academic journal that publishes research articles in the field of numerical analysis. It focuses on the development and analysis of numerical algorithms, as well as their applications in solving mathematical problems. ETNA provides a platform for researchers to disseminate their findings and share advancements in numerical methods, computational techniques, and related areas.
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





