Conditional entropy is a concept from information theory that quantifies the amount of uncertainty or information required to describe the outcome of a random variable, given that the value of another random variable is known. It effectively measures how much additional information is needed to describe a random variable \( Y \) when the value of another variable \( X \) is known.
Entropic uncertainty refers to a concept in quantum mechanics and information theory that quantifies the uncertainty or lack of predictability associated with measuring the state of a quantum system. It is often expressed in terms of entropy, particularly the Shannon entropy or the von Neumann entropy, which measure the amount of information that is missing or how uncertain we are about a particular variable.
The concept of **entropy rate** is rooted in information theory and is used to measure the average information production rate of a stochastic (random) process or a data source. In detail: 1. **Information Theory Context**: Entropy, introduced by Claude Shannon, quantifies the uncertainty or unpredictability of a random variable or source of information. The entropy \( H(X) \) of a discrete random variable \( X \) with possible outcomes \( x_1, x_2, ...
"Everything is a file" is a concept in Unix and Unix-like operating systems (like Linux) that treats all types of data and resources as files. This philosophy simplifies the way users and applications interact with different components of the system, allowing for a consistent interface for input/output operations.
The Lovász number, denoted as \( \vartheta(G) \), is a graph parameter associated with a simple undirected graph \( G \). It is a meaningful quantity in the context of both combinatorial optimization and information theory. The Lovász number can be interpreted in several ways and is particularly important in the study of graph coloring, independent sets, and the performance of certain algorithms.
R. J. Mitchell, an astronomer, is known for his contributions to the field of astronomy and his work in discovering various astronomical phenomena. However, specific details about his discoveries might need to be clarified, as there may be various contributions in different areas of astronomy. Mitchell's notable work often involves studies of celestial objects, contributions to theoretical astronomy, or advancements in observational techniques.
The IMU Abacus Medal is an award presented by the International Mathematical Union (IMU) to recognize exceptional mathematical achievements, specifically in the area of mathematical education. The medal is given to individuals who have made significant contributions to the education and outreach of mathematics, aiming to inspire and promote mathematical activity across different communities. The Abacus Medal is part of the IMU's broader efforts to enhance the quality of mathematical education and to encourage the development of mathematics globally.
"Discoveries" by Seiji Ueda is a concept that revolves around exploring and delivering insights or findings in various fields. However, as of my last update in October 2023, there isn't a widely recognized work or publication titled "Discoveries" by Seiji Ueda that fits a particular context or subject.
"Discoveries" by Richard Martin West is a book that explores various scientific and technological breakthroughs, delving into how these discoveries have shaped our understanding of the world. West examines the interplay between innovation and society, highlighting key figures and moments in the history of science that have led to significant advancements.
"Discoveries" by Richard Schorr refers to a book that presents a collection of insights and ideas related to the natural world, science, and the process of discovery itself. Richard Schorr is known for his engaging writing style and ability to make complex scientific concepts accessible to a broader audience. The book likely explores themes such as curiosity, exploration, and the importance of scientific inquiry, offering readers a chance to reflect on the wonders of discovery in various fields.
"Discoveries" by Robert H. McNaught is a book that provides insights and narratives about various scientific discoveries and the individuals behind them. McNaught, an astronomer known for his work in comet discovery and research, typically focuses on the methods and stories that lead to significant advancements in science. The book might explore themes such as the challenges faced by scientists, the impact of their work on society, and the excitement of scientific exploration.
"Discoveries" is a work by Royal Harwood Frost, who was an American poet, essayist, and editor. This piece reflects themes of exploration and introspection, often delving into the complexities of human experience and the world around us. Frost's writing is characterized by its lyrical quality and profound insights into nature and life.
"Discoveries" by Schelte J. Bus is a book that explores the field of astronomy, particularly focusing on the history and significance of astronomical discoveries. The author, Schelte J. Bus, is known for his work in planetary science and asteroid research. In "Discoveries," he likely discusses various key astronomical observations, the impact of these discoveries on our understanding of the universe, and the evolution of astronomical techniques and technologies.
"Discoveries" by Stefan Karge is a book that delves into various topics, exploring themes related to innovation, exploration, and the pursuit of knowledge. It is likely to discuss significant discoveries across different fields, highlighting how these findings have shaped our understanding of the world.
As of my last update in October 2023, Tom Stafford is primarily known as an American astronomer with contributions in the field of astrophysics and planetary science. However, specific works or publications by him under the title "Discoveries" were not widely recognized or referenced.
The Suzuki–Kasami algorithm is a distributed mutual exclusion algorithm that allows multiple processes in a distributed system to coordinate access to shared resources without conflicts. This algorithm is particularly significant in the context of computer science and distributed computing, where it is crucial for maintaining consistency and integrity of data when resources are shared across multiple nodes.
Two-tree broadcast is a type of communication protocol used in distributed systems or networks to efficiently disseminate information from one node (the source) to multiple nodes (the recipients). The term "two-tree" refers to the use of two trees for broadcasting messages. ### Key Features of Two-tree Broadcast: 1. **Tree Structure**: The broadcasting is done using two tree structures.
As of my last knowledge update in October 2023, Tao Chen is an astronomer known for his contributions to the field of astrophysics, particularly in the study of star formation and the interstellar medium. However, it appears there may be some ambiguity or confusion regarding specific works or discoveries directly attributed to him.
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





