Rankine is a microarchitecture developed by AMD, and it's part of the company's design for its graphics processing units (GPUs). Specifically, it was used in the AMD Radeon RX 6000 series, which was introduced in late 2020. The Rankine microarchitecture is known for leveraging advanced technologies, such as ray tracing and variable rate shading, to enhance the performance and visual quality of gaming and graphical applications.
The Bianconi–Barabási model is a network growth model that extends the classic Barabási-Albert (BA) model, which is well-known for generating scale-free networks through a process of preferential attachment. The Bianconi–Barabási model incorporates the idea of a node's fitness, which influences its probability of being connected to new nodes, thereby allowing for a more diverse set of growth mechanisms in network formation.
This idealization does not seems to be possible at all in the context of Maxwell's equations with pointlike particles.
Force-directed graph drawing is a technique used to visualize graphs in a way that aims to position the vertices (nodes) of the graph in two-dimensional or three-dimensional space. The goal of this method is to create a visually appealing and easy-to-understand representation of the graph, where the edges (connections between nodes) are depicted as springs and the nodes themselves are treated as physical objects that repel or attract each other.
Hall-type theorems for hypergraphs are generalizations of Hall's Marriage Theorem, which originally deals with bipartite graphs. Hall's theorem states that a perfect matching exists in a bipartite graph if and only if for every subset of vertices in one part, the number of neighbors in the other part is at least as large as the size of the subset.
The Gyárfás–Sumner conjecture is a conjecture in graph theory proposed by László Gyárfás and David Sumner in the 1980s. It deals with the properties of graphs concerning trees and their subgraphs.
A **dense graph** is a type of graph in which the number of edges is close to the maximal number of edges that can exist between the vertices. More formally, a graph is considered dense if the ratio of the number of edges \( E \) to the number of vertices \( V \) squared, \( \frac{E}{V^2} \), is relatively large.
In the context of mathematical logic and set theory, particularly in the area of model theory and set-theoretic topology, a **forcing graph** is not a standard term. However, it may refer to concepts related to forcing conditions in the context of set theory. **Forcing** is a technique introduced by Paul Cohen in the 1960s.
A scale-free network is a type of network characterized by a particular property in its degree distribution. In such networks, the distribution of connections (or edges) among the nodes follows a power law, which means that a few nodes (often referred to as "hubs") have a very high number of connections, while the majority of nodes have relatively few connections.
Graph drawing is a field of computational geometry and computer science that focuses on the visualization of graphs, which are mathematical structures consisting of nodes (or vertices) connected by edges (or arcs). This area of study is concerned with developing algorithms and techniques to represent these graphs in a visually appealing and meaningful way, so that their structure and properties can be understood more easily.
Alfred Kempe (1935–2015) was an influential mathematician known primarily for his work in graph theory and combinatorics. He is perhaps best known for the Kempe Chains and the Kempe Conjecture, which are significant in the context of the Four Color Theorem, stating that any planar map can be colored with no more than four colors such that no two adjacent regions share the same color.
Hassler Whitney was an influential American mathematician known for his contributions to topology and related areas of mathematics. He is particularly recognized for his work in the field of algebraic topology and for his contributions to the development of various mathematical theories and concepts. One of his notable contributions is the Whitney embedding theorem, which addresses how manifolds can be embedded into Euclidean spaces. This work has had significant implications in both pure mathematics and applied fields.
GRLevelX is a software application designed for weather enthusiasts and meteorologists to analyze radar data. It provides advanced tools to visualize and interpret radar imagery from various sources, including NEXRAD (Next Generation Weather Radar) systems in the United States. The software is widely used for storm tracking, severe weather analysis, and other meteorological research. Key features of GRLevelX often include: - **Real-time radar data**: The ability to view and analyze real-time radar images.
As of my last update in October 2021, Paul A. Catlin does not appear to be a widely recognized public figure, academic, or notable individual in historical or contemporary contexts. It's possible that he may be a private individual or a local figure not widely covered in mainstream media. If you could provide more context or specify the area in which Paul A. Catlin is relevant (e.g., business, academia, art, etc.
The 16th century was a time of significant development in mathematics, but it was also a period heavily influenced by the legacy of earlier Greek mathematicians, particularly from ancient Greece, rather than a time when new Greek mathematicians emerged. The important Greek figures in mathematics, such as Euclid, Archimedes, and Ptolemy, had already made their contributions much earlier.
Best-first search is a type of search algorithm used in graph traversal and pathfinding. It explores a graph by expanding the most promising node according to a specified rule or heuristic. The main goal of Best-first search is to find the most effective path to the goal state with minimal cost, time, or distance, depending on how the heuristic is defined.
In the 13th century, Greek mathematics was still significantly influenced by earlier figures like Euclid, Archimedes, and Ptolemy, but there were also important developments and figures during this time, particularly in the context of the Byzantine Empire and the transmission of knowledge. One of the notable mathematicians of this period is **George Pachymere** (c. 1240–1310), who was a Byzantine philosopher and scholar.
George Dassios is a notable figure in the field of applied mathematics and engineering, particularly recognized for his contributions to fluid mechanics, heat transfer, and mathematical modeling. He has published numerous academic papers and has been involved in various research projects. His work often focuses on the application of mathematical techniques to solve complex engineering problems.
In Jonathan Swift's satirical novel "Gulliver's Travels," the Struldbrugs are a fictional group of people in the land of Luggnagg who are born with a unique condition: they are immortal. However, this immortality comes with significant drawbacks. Although Struldbrugs do not age or die, they suffer from the effects of aging, both physically and mentally. As they grow older, they become increasingly frail and often experience a decline in their faculties.
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





