Graph matching is a process in graph theory and computer science that involves finding correspondences between the vertices (or nodes) of two graphs. The goal of graph matching is to identify a mapping of nodes from one graph to nodes in another such that certain criteria are met. These criteria often involve maximizing or minimizing some measure of similarity or alignment between the two graphs.
In graph theory, an **independent set** (also known as a stable set) is a set of vertices in a graph, none of which are adjacent to each other. In other words, a set of vertices \( S \) is called an independent set if for every pair of vertices \( u \) and \( v \) in \( S \), there is no edge connecting \( u \) and \( v \) in the graph.
Nondeterministic Constraint Logic (NCL) is a computational framework that combines aspects of constraint satisfaction problems (CSPs) and nondeterministic computation. In traditional constraint logic, one deals with variables, domains, and constraints to find assignments that satisfy certain conditions. Nondeterministic computation, on the other hand, allows for multiple potential outcomes or paths in solving a problem, often represented in theoretical computer science by concepts such as nondeterministic Turing machines.
Supercomputing refers to the use of supercomputers, which are high-performance computing systems designed to perform complex calculations at extremely high speeds. These systems are capable of processing vast amounts of data and performing trillions of calculations per second (measured in FLOPS—floating-point operations per second). Supercomputers are utilized in various fields, including: 1. **Scientific Research**: Simulating complex physical and biological processes, such as climate modeling, astrophysics, and molecular dynamics.
AMRFinderPlus is a computational tool developed by the National Center for Biotechnology Information (NCBI) designed to identify antibiotic resistance genes in microbial genomes and metagenomic data. The tool is an improvement over the original AMRFinder and incorporates a more extensive database of known antibiotic resistance markers and genomic features. AMRFinderPlus operates on genomic sequences, allowing researchers and clinicians to quickly assess the presence of antibiotic resistance genes within bacterial strains.
The Center for Data-Driven Discovery (CD3) is typically associated with research and technological advancements that leverage data analytics and artificial intelligence to enhance scientific discovery and innovation. This center may focus on various fields, including life sciences, health care, social sciences, and environmental studies, among others. The mission of such centers often involves: 1. **Interdisciplinary Collaboration**: Bringing together researchers from different fields to collaborate on data-intensive research projects.
Computational social science is an interdisciplinary field that applies computational techniques and models to study social phenomena and human behavior. By leveraging data from various sources—such as social media, surveys, sensor data, and online interactions—researchers can analyze complex social dynamics, patterns, and trends. Key components of computational social science include: 1. **Data Collection**: Utilizing large datasets, often derived from digital interactions and transactions, to gather evidence about social behavior.
Australian cryptographers are individuals or groups in Australia who specialize in the study and practice of cryptography, which is the science of secure communication and data protection. Cryptographers work on developing algorithms, protocols, and systems that ensure the confidentiality, integrity, and authenticity of information. Australia has a rich history in cryptography and has made significant contributions to the field, particularly in cybersecurity, intelligence, and communication systems.
Interleaving distance is a metric used to measure the similarity between two sequences, particularly in the context of data structures and algorithms, such as in sorting and merging algorithms. It quantifies how "close" two sequences (or permutations) are to being interleaved versions of each other.
The Finite-Difference Time-Domain (FDTD) method is a computational algorithm used to solve differential equations that describe how electromagnetic waves propagate through a medium. This technique is particularly effective for simulating wave phenomena in complex geometries and material structures. ### Key Features of FDTD: 1. **Time Domain Approach**: FDTD is a time-domain approach, meaning it computes the electromagnetic fields (electric and magnetic) as functions of both time and space.
In silico clinical trials refer to the use of computer simulations and computational models to conduct clinical trials, as opposed to traditional, in vivo (live organisms) trials or in vitro (test tube) studies. These digital simulations can replicate biological processes and predict the effects of medical interventions, therapies, or drugs within a virtual environment.
The Information Visualization Reference Model is a framework that provides a structured approach to understanding, designing, and evaluating information visualization systems. It helps in conceptualizing how information can be represented visually and guides the development of effective visualizations. The model typically includes key components that outline the various aspects of the visualization process, from data representation to user interaction.
Subcellular localization prediction tools are designed to predict where proteins reside within a cell, based on their sequence or structural features. Here’s a list of some well-known protein subcellular localization prediction tools: 1. **SignalP**: Predicts the presence and location of signal peptide cleavage sites in prokaryotic and eukaryotic proteins. 2. **TargetP**: Predicts the subcellular localization of proteins in eukaryotes based on N-terminal targeting signals.
Nathan Seiberg is a theoretical physicist known for his contributions to the fields of string theory, quantum field theory, and mathematical physics. He has worked extensively on topics such as supersymmetry, gauge theory, and topological field theories. Seiberg is also known for his collaborations with other prominent physicists, leading to significant advancements in understanding dualities in quantum field theories and their implications for string theory. He has held academic positions at institutions such as Princeton University.
Newbler is a software tool that was developed by 454 Life Sciences, a subsidiary of Roche, for de novo assembly of DNA sequences generated by their pyrosequencing technology. It is designed to take short reads generated from high-throughput sequencing and assemble them into longer contiguous sequences (contigs) and ultimately into full genomes or transcriptomes.
An Ocean General Circulation Model (OGCM) is a complex mathematical model used to simulate and understand the three-dimensional movement of ocean waters and their interactions with the atmosphere, land, and ice. These models are essential tools in oceanography and climatology as they help researchers predict ocean behavior, climate change effects, and global climate patterns.
The Scientific Computing and Imaging (SCI) Institute is a research institute typically associated with academic institutions, focusing on the intersection of scientific computing, imaging, and data analysis. Established at the University of Utah, the SCI Institute conducts research and develops computational methods and visualization techniques to tackle complex scientific and engineering problems. Key areas of focus for the SCI Institute often include: 1. **Scientific Computing**: Developing algorithms and software for numerical simulations and modeling in various scientific disciplines such as physics, biology, and engineering.
A **Persistence module** can refer to several concepts depending on the context in which it is used. Below are a few common interpretations: 1. **Data Persistence in Software Development**: In the context of software development, a persistence module typically refers to a component or library that deals with the storage and retrieval of data. This could involve database interactions, file storage, or any other means of saving state between application runs.
Berlekamp's algorithm, specifically known as Berlekamp's factorization algorithm, is a method used in computational algebra to factor polynomials over finite fields. It was developed by Elwyn Berlekamp in the 1960s and is particularly effective due to its efficiency in handling polynomials with many roots. ### Key Features of Berlekamp's Algorithm: 1. **Application**: Primarily used for factoring polynomials over finite fields, which are fields with a finite number of elements.
Symbolic integration, also known as analytical integration, is a mathematical process used to find the integral of a function expressed in closed form, typically involving algebraic expressions, trigonometric functions, exponentials, and logarithms. Unlike numerical integration, which approximates the integral's value over a specific interval using numerical methods, symbolic integration provides an exact solution that is represented in a symbolic form.

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