A logical clock is a mechanism used in distributed systems and concurrent programming to order events without relying on synchronized physical clocks. The concept was introduced to address the need for ordering events in systems where processes may operate independently and at different speeds. The key idea behind logical clocks is to provide a way to assign a timestamp (a logical time value) to events in such a way that the order of events can be established based on these timestamps.
Samplesort is a parallel sorting algorithm that is particularly effective for large datasets. It works by dividing the input data into smaller segments, called "samples," and then sorting these samples separately. The main idea behind Samplesort is to use sampling to create a balanced partitioning of the data, which allows for efficient sorting and merging of the segments.
The Cooley–Tukey FFT algorithm is an efficient computational method for calculating the discrete Fourier transform (DFT) and its inverse. The DFT converts a sequence of complex numbers into another sequence of complex numbers, representing the frequency domain of the input signal. The direct computation of the DFT using its mathematical definition requires \(O(N^2)\) operations for \(N\) input points, which is computationally expensive for large datasets.
The Hindmarsh–Rose model is a mathematical model used to describe the dynamics of spiking neurons. Developed by Brian Hindmarsh and Gerhard Rose in the late 1980s, it is a type of neuron model that captures key features of the behavior of real biological neurons, including the spiking and bursting phenomena. The model is based on a set of ordinary differential equations that represent the membrane potential of a neuron and the dynamics of ion currents across the neuronal membrane.
Neural coding refers to the way in which information is represented and processed in the brain by neurons. It encompasses the mechanisms by which neurons encode, transmit, and decode information about stimuli, experiences, and responses. Understanding neural coding is crucial for deciphering how the brain interprets sensory inputs, generates thoughts, and guides behaviors. There are several key aspects of neural coding: 1. **Types of Coding**: - **Rate Coding**: Information is represented by the firing rate of neurons.
Paul Bressloff is a notable figure in the field of mathematics, particularly known for his work in applied mathematics and computational neuroscience. He has contributed to the study of mathematical models that explain neural dynamics and brain function. Bressloff has published research on various topics, including neural networks, excitability, and the mathematical modeling of sensory processing.
Pulse computation refers to a method of processing information that uses pulsesdiscrete signals or waveforms that represent data at specific points in time. This approach is often associated with various fields such as digital signal processing, neural networks, and even quantum computing. ### Key Aspects of Pulse Computation: 1. **Pulse Signals:** Information is encoded in the form of pulse signals, typically characterized by sharp changes in voltage or current.
Spectral flux is a measure used in the analysis of audio signals, particularly in the context of music and speech processing. It quantifies the amount of change in the spectrum of a signal over time, providing an indication of how quickly the frequency content is evolving. In more technical terms, spectral flux is calculated by comparing the magnitude spectra of consecutive frames of audio signal.
Coding gain refers to the improvement in the performance of a communication system due to the use of channel coding techniques. It quantifies how much more efficiently a system can transmit data over a noisy channel compared to an uncoded transmission. In technical terms, coding gain is often expressed as a reduction in the required signal-to-noise ratio (SNR) for a given probability of error when comparing a coded system to an uncoded system.
Algorithmic learning theory is a subfield of machine learning and computational learning theory that focuses on the study of algorithms that can learn from data and improve their performance over time. It combines concepts from algorithm design, statistical learning, and information theory to understand and formalize how machines can uncover patterns, make predictions, and make decisions based on data.
In the context of computer science and databases, particularly in the field of database theory and query languages, a "witness set" often refers to a subset of data that serves as evidence or a demonstration that a certain property holds true for a particular database query or operation. However, the term "witness set" can also vary in meaning depending on the specific area of study.
Code stylometry is the study of the stylistic features of source code, akin to literary stylometry which analyzes the writing style of texts. It involves examining various aspects of code, such as syntax, structure, naming conventions, and commenting styles, to identify authorship, detect plagiarism, or categorize programming styles. Key components of code stylometry include: 1. **Lexical Analysis**: Studying the vocabulary used in the code, including the choice of keywords, variable names, and function names.
Computational Aeroacoustics (CAA) is a field that combines computational fluid dynamics (CFD) and acoustics to analyze and predict noise generated by aerodynamic sources. It focuses on understanding how airflow around objects (like aircraft, vehicles, or turbines) generates sound, particularly in cases where the interaction between fluid flows and sound waves is significant.
Data science is an interdisciplinary field that combines various techniques and concepts from statistics, computer science, mathematics, and domain expertise to extract meaningful insights and knowledge from structured and unstructured data. It involves the process of collecting, cleaning, analyzing, and interpreting large amounts of data to draw conclusions and inform decision-making.
Foundation models are large-scale machine learning models trained on diverse data sources to perform a wide range of tasks, often with little to no fine-tuning. These models, such as GPT (Generative Pre-trained Transformer), BERT (Bidirectional Encoder Representations from Transformers), and others, serve as a foundational platform upon which more specialized models can be built.
Humanistic informatics is an interdisciplinary field that combines elements of humanities, social sciences, and information technology to study and understand the ways in which information systems and technologies impact human behavior, culture, and society. It emphasizes the human experience in the design, implementation, and use of information systems, recognizing that technology is not just a technical artifact but also a social and cultural phenomenon.
The Zero-Truncated Poisson (ZTP) distribution is a probability distribution that is derived from the Poisson distribution by removing the zero-count outcomes. This modification is useful in scenarios where the occurrence of an event is guaranteed to be at least one, hence no observations of zero are possible.
A Faro shuffle, also known as a perfect shuffle, is a card shuffling method that interleaves two halves of a deck of cards in a precise manner. There are two types: the "in shuffle" and the "out shuffle." 1. **In Shuffle**: In this variation, the top card of the original deck remains in the top position after the shuffle.
Hagelbarger code refers to a specific type of error-correcting code that is used in the field of information theory and coding theory. More specifically, it is known as an example of a specific family of linear block codes. These codes are designed to detect and correct errors that may occur during the transmission of data over noisy communication channels.
Hamming code is an error-detecting and error-correcting code used in digital communications and data storage. It was developed by Richard W. Hamming in the 1950s. Hamming codes can detect and correct single-bit errors and can detect two-bit errors in the transmitted data. ### Key Features of Hamming Code: 1. **Redundancy Bits**: Hamming codes add redundant bits (also called parity bits) to the data being transmitted.

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