The Analytic Network Process (ANP) is a multi-criteria decision-making (MCDM) methodology that extends the Analytic Hierarchy Process (AHP). Developed by Thomas L. Saaty, ANP allows decision-makers to evaluate complex problems by structuring them into a network of interconnected elements. Key Features of ANP: 1. **Network Structure**: Unlike AHP, which uses a hierarchical structure, ANP recognizes that decision elements can influence each other in a network format.
The VIKOR method (VlseKriterijumska Optimizacija I Kompromisno Rešenje) is a multi-criteria decision-making (MCDM) approach used for ranking and selecting from among a set of alternatives that are characterized by conflicting criteria. This method was developed by Z. J. F. Opricovic and can be particularly useful in situations where decision-makers need to make trade-offs between different criteria that may not be easily comparable.
In network science, a critical point refers to a specific threshold or condition in a network at which a significant change occurs in the network's behavior or structure. These critical points are often associated with phase transitions, akin to concepts in physics. Here are a few contexts in which critical points are discussed in network science: 1. **Percolation Theory**: In the study of percolation, a critical point often refers to the threshold at which a giant connected component appears in a random graph.
Menger's theorem is a fundamental result in graph theory concerning the connectivity of graphs. It is named after the Austrian mathematician Karl Menger and has several versions that deal with different aspects of connectivity in directed and undirected graphs.
A **weighted network** (or weighted graph) is a type of graph in which each edge has an associated numerical value or "weight." These weights can represent various metrics, such as distance, cost, capacity, or any other quantitative relationship between the nodes (vertices) that the edges (links) connect.
Wagner's gene network model, often associated with the work of the biologist Alan Wagner, is a theoretical framework used to understand the interactions and dynamics of gene regulatory networks. This model considers how genes interact with one another and with various environmental factors to influence the expression of traits and biological functions.
Human Factors in Engineering and Design, often referred to as ergonomics, is the discipline that explores how humans interact with systems, products, and environments. It encompasses the study of human capabilities, limitations, and behaviors to inform the design process, ultimately aiming for better usability, safety, and performance. Key aspects include: 1. **User-Centered Design**: Designing products and systems with a focus on the needs, preferences, and limitations of the end users.
The Lang Factor is a ratio used in project management and cost estimation, particularly in the fields of engineering and construction. It helps estimate the total project cost based on the cost of equipment. The Lang Factor is defined as the ratio of the total installed cost of a project (which includes equipment, materials, labor, overhead, and miscellaneous costs) to the cost of the major equipment alone.
Packaging engineering is a specialized field within engineering and design that focuses on creating and developing packaging solutions for products. It encompasses a range of activities including the design, structure, materials, and processes used in packaging. The primary goal of packaging engineering is to ensure that products are properly protected, preserved, and presented during storage, transportation, and sale.
Systematic Layout Planning (SLP) is a structured approach to designing the layout of facilities, such as manufacturing plants, warehouses, offices, and other operational spaces. The primary goal of SLP is to optimize the arrangement of various elements within a facility to improve efficiency, productivity, and safety while minimizing costs. The concept was developed by Richard Muther in the 1960s and entails a series of steps that guide planners through the layout design process.
Logic symbols are standardized symbols used to represent logical operations, relationships, and structures in formal logic, mathematics, computer science, and related fields. These symbols allow for a concise and unambiguous way of expressing logical expressions and propositions. Here are some common logic symbols and their meanings: 1. **Negation (¬)**: Represents logical negation (not). If \( p \) is a proposition, then \( \neg p \) means "not \( p \).
Arden's Rule is a principle in the field of mathematics and formal grammar, specifically concerning contexts in which one needs to solve systems of linear equations involving functions, particularly in Markov processes and stochastic systems.
The Chomsky hierarchy is a classification of formal grammars based on their generative power, proposed by Noam Chomsky in the 1950s. It divides grammars into four levels, each with increasing expressive power.
In formal language theory, the term "cone" does not typically refer to a specific concept like it does in geometry. However, the term may pop up in various contexts related to formal languages, automata, and computational theory, often relating to sets of strings or languages and their properties.
In category theory and related fields of mathematics, a **history monoid** is associated with the concept of tracking changes over time or through sequences of states. It is particularly relevant in the context of systems where the sequence of operations or transitions is significant. A history monoid typically consists of: 1. **Set of States**: A collection of all possible states in which a system can be.
In the context of formal language theory, a **local language** generally refers to a class of formal languages that can be recognized by local operations or can be defined using certain locality conditions. One of the most common interpretations of a local language is related to **local monoids** or **local grammars**, particularly in the context of formal language processing or automata theory.
The term "morphic word" isn't widely recognized in linguistics or related fields. However, it might be an informal or niche term that refers to words related to morphology, which is the study of the structure, formation, and relationships of words within a language. In morphology, words can be analyzed into their constituent morphemes, which are the smallest units of meaning.
G-force, or gravitational force, refers to the measurement of acceleration felt by an object or person in relation to the acceleration due to gravity. It is often expressed in units of "g," where 1 g is equivalent to the acceleration of gravity at Earth's surface, approximately 9.81 meters per second squared (m/s²). When experiencing G-force, people or objects feel heavier or lighter depending on the direction and magnitude of the acceleration.
A regular language is a category of formal languages that can be defined by regular expressions and can be recognized by finite automata. They are one of the simplest types of formal languages in the Chomsky hierarchy and have several important properties. Key characteristics of regular languages include: 1. **Finite Automata**: Regular languages can be recognized by finite state machines (FSMs), which can be deterministic (DFA) or nondeterministic (NFA).

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