Fano's inequality is a result in information theory that provides a lower bound on the probability of error in estimating a message based on observed data. It quantifies the relationship between the uncertainty of a random variable and the minimal probability of making an incorrect estimation of that variable when provided with some information. More formally, consider a random variable \( X \) with \( n \) possible outcomes and another random variable \( Y \), which represents the "guess" or estimation of \( X \).
An index of information theory articles typically refers to a curated list or database of academic and research articles that focus on information theory, a branch of applied mathematics and electrical engineering that deals with the quantification, storage, and communication of information. Such indexes can help researchers, students, and practitioners find relevant literature on various topics within information theory, including but not limited to: 1. **Fundamental Principles**: Articles discussing the foundational concepts, like entropy, mutual information, and channel capacity.
Human Information Interaction (HII) is a multidisciplinary field that explores how people interact with information, technology, and each other. It encompasses various aspects of human behavior, cognition, and design principles related to the retrieval, processing, and usage of information. The goal of HII is to enhance the effectiveness and efficiency of information interactions, ensuring that users can access, comprehend, and apply information in meaningful ways.
Hyper-encryption is not a widely recognized term in the field of cryptography or computer security as of my last update in October 2023. However, the term could be interpreted in several ways based on the components of the word "hyper" and "encryption." 1. **Advanced Encryption Techniques**: It might refer to highly sophisticated encryption methods that go beyond traditional encryption standards, perhaps incorporating multiple layers of encryption or utilizing advanced algorithms that enhance security.
Information behavior refers to the ways in which individuals seek, receive, organize, store, and use information. It encompasses a wide range of activities and processes that people engage in to find and utilize information in their daily lives, whether for personal, professional, academic, or social purposes. Key aspects of information behavior include: 1. **Information Seeking**: The processes and strategies individuals use to locate information.
Information content refers to the amount of meaningful data or knowledge that is contained within a message, signal, or system. In various fields, it can have slightly different interpretations: 1. **Information Theory**: In information theory, established by Claude Shannon, information content is often quantified in terms of entropy. Entropy measures the average amount of information produced by a stochastic source of data. It represents the uncertainty or unpredictability of a system and is typically expressed in bits.
"Quantities of information" often refers to the measurement of information, which can be quantified in several ways depending on the context. Here are some key concepts and methodologies associated with this term: 1. **Bit**: The basic unit of information in computing and information theory. A bit represents a binary choice, like 0 or 1. 2. **Byte**: A group of eight bits; a common unit used to quantify digital information, typically used to represent a character in text.
Quantum coin flipping is a process in quantum information theory that allows two parties to flip a coin in such a way that both parties can be assured of a fair outcome, as determined by the principles of quantum mechanics. The goal is to ensure that neither player can control the result of the coin flip, while still achieving a verifiable outcome. In a classical coin flip, there is an inherent uncertainty about the result, depending on the methods used.
GABRB3 (Gamma-Aminobutyric Acid Type B Receptor Subunit Beta-3) is a gene that encodes a subunit of the gamma-aminobutyric acid (GABA) receptor, which is a type of neurotransmitter receptor responsible for mediating inhibitory neurotransmission in the central nervous system.
In information theory, **information flow** refers to the movement or transmission of information through a system or network. It is a key concept that deals with how information is encoded, transmitted, received, and decoded, and how this process affects communication efficiency and reliability. Here are some key aspects of information flow: 1. **Information Source**: This is the starting point where information is generated. It can be any entity that produces data or signals that need to be conveyed.
Information projection generally refers to the process of representing or mapping information from one space into another, often to simplify or highlight specific features while reducing dimensionality. It is a concept that can be applied in several contexts, including: 1. **Data Visualization**: In data science and machine learning, information projection techniques like PCA (Principal Component Analysis) are used to reduce the dimensionality of data while retaining as much variance as possible.
MIMO-OFDM stands for Multiple Input Multiple Output - Orthogonal Frequency Division Multiplexing. It is a technology used in wireless communication systems that combines two advanced techniques: MIMO and OFDM. 1. **MIMO (Multiple Input Multiple Output)**: This technique involves the use of multiple antennas at both the transmitter and receiver ends. MIMO technology enhances data transmission rates and improves the reliability of communication by exploiting multipath propagation, where transmitted signals take multiple paths to reach the receiver.
A Multicast-Broadcast Single-Frequency Network (MBSFN) is a technology used in telecommunications, specifically within mobile communication systems such as LTE (Long Term Evolution) and beyond. It is designed to efficiently transmit the same content simultaneously to multiple users over a network, utilizing a single frequency channel. ### Key Features of MBSFN: 1. **Single Frequency**: In MBSFN, multiple cells (or base stations) transmit the same data on the same frequency at the same time.
Privilege revocation in computing refers to the process of removing or changing a user's permissions or access rights within a system or application. This is a crucial aspect of security and access control in computing environments, as it ensures that users have only the privileges necessary to perform their tasks, helping to mitigate the risk of unauthorized access or actions by either legitimate users or attackers.
Rate-distortion theory is a branch of information theory that deals with the trade-off between the fidelity of data representation (distortion) and the amount of information (rate) used to represent that data. It provides a framework for understanding how to encode data such that it can be reconstructed with a certain level of quality while minimizing the amount of information transmitted or stored. ### Key Concepts: 1. **Rate (R):** This refers to the number of bits per symbol needed to encode the data.
Ray Weymann is an astrophysicist known for his work in the field of observational cosmology and the study of distant astronomical objects, particularly quasars and the intergalactic medium. He has contributed to our understanding of the Universe's expansion and the formation of large-scale structures. His research often involves the use of spectroscopy and other observational techniques to examine the properties of galaxies and their evolution over cosmic time.
Shannon's source coding theorem is a fundamental result in information theory, established by Claude Shannon in his groundbreaking 1948 paper "A Mathematical Theory of Communication." The theorem provides a formal framework for understanding how to optimally encode information in a way that minimizes the average length of the code while still allowing for perfect reconstruction of the original data.
Spatial multiplexing is a technique used in multiple-input multiple-output (MIMO) communication systems to enhance data transmission rates and improve spectral efficiency. In spatial multiplexing, multiple spatial streams (data streams) are transmitted simultaneously over the same frequency channel using multiple antennas, both at the transmitter and the receiver. Here are the key aspects of spatial multiplexing: 1. **Multiple Antennas**: The technique relies on having multiple antennas at both the transmitter and receiver ends.
Titanium has several isotopes, but the most notable ones are: 1. **Titanium-46 (Ti-46)**: This isotope has 22 neutrons and is one of the stable isotopes of titanium. 2. **Titanium-47 (Ti-47)**: Another stable isotope, it has 23 neutrons. 3. **Titanium-48 (Ti-48)**: The most abundant stable isotope, comprising about 73.8% of naturally occurring titanium.

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