INTLAB is a software package designed for the rigorous and verified numerical computation of mathematical problems. It is specifically aimed at interval arithmetic, a technique used to handle uncertainties and errors that arise in numerical calculations. By using intervals to represent ranges of values, INTLAB allows for more reliable results compared to traditional floating-point arithmetic.
Multiple-criteria decision analysis (MCDA) is a decision-making framework used to evaluate and prioritize multiple conflicting criteria in decision-making processes. It is particularly useful in situations where decisions involve trade-offs among various competing factors, such as cost, quality, risk, and other relevant criteria. MCDA provides a structured approach that can help individuals and organizations systematically analyze complex problems, enabling them to make informed decisions that account for multiple aspects or dimensions.
Operations researchers, or operations research (OR) professionals, are specialists who apply mathematical models, statistical analysis, and optimization techniques to solve complex decision-making problems within organizations. Their primary goal is to improve efficiency, reduce costs, and enhance overall performance in various domains, including manufacturing, logistics, finance, healthcare, and many others. Key activities of operations researchers include: 1. **Problem Definition**: Identifying and clearly defining the problems that need to be addressed within an organization.
Win–stay, lose–switch is a behavioral strategy often discussed in the context of decision-making and game theory. It describes a simple rule that individuals or agents can follow when faced with choices or actions that can lead to reward or failure. ### How it Works: 1. **Win (Success)**: If the current action leads to a positive outcome or reward, the individual stays with that action in the next round or iteration.
In mathematics, natural numbers are the set of positive integers used for counting and ordering. They typically include the numbers 1, 2, 3, 4, and so on. Depending on the context, some definitions of natural numbers may include 0, so the set could be {0, 1, 2, 3, ...}. ### Key Characteristics: 1. **Non-Negative:** Natural numbers are non-negative integers (if 0 is included).
Computational geometry is a branch of computer science and mathematics that deals with the study of geometric objects and their interactions using computational techniques. It focuses on the development of algorithms and data structures for solving geometric problems, which can involve points, lines, polygons, polyhedra, and more complex shapes in various dimensions.
Hexapawn is a simple two-player strategy game played on a 3x3 grid, akin to chess but with pawns only. Each player starts with three pawns on one side of the board, and the goal is to either capture the opponent's pawns or reach the opponent's back row with one of your own pawns. The rules are as follows: 1. Players take turns moving one of their pawns.
Deep Reinforcement Learning (DRL) is a branch of machine learning that combines reinforcement learning (RL) principles with deep learning techniques. To understand DRL, it's essential to break down its components: 1. **Reinforcement Learning (RL)**: This is a type of machine learning where an agent learns to make decisions by interacting with an environment. The agent takes actions, observes the results (or states) of those actions, and receives rewards or penalties based on its performance.
File verification is the process of checking the integrity, authenticity, and correctness of a file to ensure that it has not been altered, corrupted, or tampered with since it was created or last validated. This process is crucial in various applications, such as software distribution, data transmission, and data storage, to ensure that files remain reliable and trustworthy.
A **nonblocking minimal spanning switch** is a type of switching network that has specific characteristics in terms of connectivity and resource utilization, particularly in telecommunications and networking. ### Key Features: 1. **Nonblocking Property**: This means that the switch can connect any input to any output without blocking other connections. In other words, if a connection between a given pair of input and output ports is requested, it can be established regardless of other active connections.
The Stoer–Wagner algorithm is a combinatorial algorithm designed to find the minimum cut of an undirected weighted graph. The minimum cut is a partition of the graph's vertices into two disjoint subsets such that the sum of the weights of the edges crossing the cut is minimized. This algorithm is particularly notable because it runs in \(O(n^3)\) time complexity, where \(n\) is the number of vertices in the graph.
A peptide bond is a type of covalent bond that forms between two amino acids during protein synthesis. This bond occurs when the carboxyl group of one amino acid reacts with the amino group of another, releasing a molecule of water (this process is known as a dehydration synthesis or condensation reaction). Once formed, the peptide bond creates a dipeptide, and as more amino acids join in the same fashion, polypeptides and proteins are formed.
Repeated Incremental Pruning to Produce Error Reduction (RIPPER) is a decision tree learning algorithm used for generating classification rules. RIPPER is particularly known for its effectiveness in producing compact, accurate rules for classification tasks. Here are key aspects of the RIPPER algorithm: 1. **Rule-Based Learner**: Unlike traditional decision tree algorithms that produce a tree structure, RIPPER generates a set of rules for classification.
Network-based diffusion analysis is a method used to study how information, behaviors, innovations, or other phenomena spread through a network, such as social networks, communication networks, or biological networks. This approach leverages the structure and properties of the underlying network to understand and predict the patterns of diffusion. Key components of network-based diffusion analysis include: 1. **Network Structure**: The arrangement of nodes (individual entities such as people, organizations, or genes) and edges (connections or relationships between these entities).
The term "Tornado family" can refer to a few different contexts, but it most commonly pertains to either: 1. **Meteorology**: In meteorological terms, a "Tornado family" often describes a series of tornadoes that occur within the same storm system or weather event. Tornadoes can sometimes form in succession or in the same geographic area during a severe weather outbreak, and these may be referred to as part of a "family" because they share similar characteristics and conditions.
The Planar Separator Theorem is a concept in computational geometry and graph theory which states that for any planar graph, it is possible to partition the vertices of the graph into three disjoint sets: X, Y, and S. The sets have the following properties: 1. **Small Separator Size**: The size of the set S (the separator) is proportional to the square root of the number of vertices in the graph.
The term "parity function" can refer to different concepts depending on the context in which it's used, particularly in computer science, mathematics, and digital logic. Here are a few interpretations of the parity function: 1. **Mathematics**: In a mathematical context, the parity function typically refers to a function that determines whether a given integer is even or odd.
The Joback method is a group contribution approach used in the field of chemical engineering and thermodynamics to estimate the thermophysical properties of organic compounds. Developed by L. K. Joback in the late 1980s, this method allows for the prediction of various properties, including boiling points, melting points, heat capacities, and vapor pressures, based on the compound's molecular structure.
Paul W. Chun is a figure known for his work in the field of real estate, particularly in connection with commercial real estate and property management. He may also be involved in other business ventures or areas, but specific details about his contributions or achievements may vary based on context. If there's a particular aspect of Paul W.

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 5. . 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.
  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