"Inhaler" is a song by the British rock band Foals, released as part of their 2019 album "Everything Not Saved Will Be Lost – Part 2." The track features the band's signature sound, which includes a blend of rock, dance-punk, and mathematics-influenced rhythms. Lyrically, the song addresses themes of anxiety, pressure, and the search for freedom in a chaotic world.
Vena contracta is a term used in fluid dynamics and medical imaging to describe the phenomenon that occurs in a fluid flow when it passes through a constricted area. Specifically, it refers to the point of minimum cross-sectional area downstream from a restriction, such as a valve or a stenosis in a blood vessel. In the context of blood flow, for example, when blood passes through a narrowed area in a vessel, the velocity of the blood increases as it enters the constriction.
Fluid-powered actuators are devices that utilize fluid pressure (usually hydraulic or pneumatic) to produce motion or force. They convert the energy stored in the fluid (either liquid or gas) into mechanical energy to perform a task, such as moving a component or controlling a system. ### Types of Fluid-Powered Actuators: 1. **Hydraulic Actuators**: - Use pressurized liquid (typically oil) to generate force and movement.
Metallic microlattice is a lightweight, highly porous material that consists of a network of interconnected metal struts or beams arranged in a lattice structure at the microscale. This innovative material combines the properties of metals, such as strength and conductivity, with the extremely low density and high surface area provided by its porous architecture.
A central force is a type of force that acts on an object directed towards a fixed point, known as the center. The key characteristics of a central force include: 1. **Direction**: The force always points either directly toward or directly away from the center. 2. **Magnitude**: The strength or magnitude of the force can vary with the distance from the center, but it is always a function of that distance.
Normal contact stiffness is a concept used in contact mechanics, which deals with the interactions that occur when two bodies come into contact. Specifically, normal contact stiffness quantifies how much a material resists deformation in the direction perpendicular to the contact surface when a normal load is applied. In simple terms, it describes the relationship between the force applied perpendicular to the contact surface and the resulting deformation (deflection) of the contact area.
Intake momentum drag is a concept related to the performance of air intake systems, particularly in the context of engines, such as those found in aircraft or high-performance vehicles. It refers to the aerodynamic drag that arises due to the motion of air entering the intake system. When air is drawn into an engine, it enters at a certain velocity and, depending on the design of the intake, the flow might experience changes in velocity and direction.
Restoring force is a fundamental concept in physics, particularly in mechanics and oscillatory motion. It refers to the force that acts to bring a system back to its equilibrium position or original state after it has been displaced. This type of force is crucial in understanding systems such as springs, pendulums, and other oscillatory systems.
An Abstract Semantic Graph (ASG) is a conceptual representation used in various fields, particularly in natural language processing (NLP), knowledge representation, and artificial intelligence (AI). It is designed to model the meaning of sentences or texts in a structured format that captures the relationships and semantics of the components involved. Key features of Abstract Semantic Graphs include: 1. **Nodes and Edges**: An ASG is composed of nodes and edges. Nodes typically represent entities, concepts, or important terms.
An Abstract Syntax Tree (AST) is a data structure widely used in compilers and programming language interpreters to represent the structure of source code in a hierarchical tree format. The nodes of the tree represent constructs occurring in the source code, such as expressions, statements, variable declarations, control structures, and more, while the edges represent the relationships between these constructs.
The Brzozowski derivative is a mathematical concept used in automata theory and formal language theory. It provides a way to compute the derivative of a regular expression with respect to a particular symbol, which can help in constructing finite automata or in the analysis of regular languages. Given a regular expression, the Brzozowski derivative with respect to a symbol from the alphabet describes how the expression behaves when that symbol is encountered.
The International Conference on Developments in Language Theory (DLT) is an academic conference that focuses on theoretical aspects of formal languages, automata, and related areas. It brings together researchers and practitioners to present and discuss new developments, findings, and approaches in the field of language theory. The topics covered typically include formal grammars, automata theory, computational linguistics, and the mathematical foundations of language processing.
Descriptional complexity in the context of formal systems refers to the study of the resources needed to describe, represent, or generate certain languages or computational structures using a formal system. This can include various aspects such as the size of the formal representation (e.g., the length of a grammar, the number of states in an automaton, etc.) and the efficiency of the representation (how concise or clear it is).
Greibach Normal Form (GNF) is a specific way of representing context-free grammars in formal language theory. In GNF, each production rule of the grammar has a particular structure that facilitates certain types of parsing. Specifically, a context-free grammar is in Greibach Normal Form if all of its production rules satisfy the following conditions: 1. The left-hand side of each production must consist of a single non-terminal symbol.
Literal Movement Grammar (LMG) is a framework in linguistic theory that proposes a specific method for analyzing and describing the syntax of natural languages. The term itself is not widely established as a distinct category in the field of linguistics, and it may not be formally recognized in the same way as other grammatical theories like Generative Grammar, Dependency Grammar, or other syntactic frameworks.
A square-free word is a string of characters (often taken from a finite alphabet) that does not contain any substring of the form \( xx \), where \( x \) is a non-empty string. In other words, a square-free word does not have any consecutive repetitions of substrings. For example, the string "abac" is square-free because there are no such repetitions.
Trace theory is a concept primarily associated with linguistics and cognitive science, particularly in the study of syntax and language processing. It suggests that when a word or phrase is moved within a sentence (e.g., in questions or relative clauses), a "trace" is left behind to indicate the original position of that word or phrase. This theoretical construct helps to account for various grammatical phenomena, including agreement and interpretation, without requiring the original elements to be explicitly stated in their initial positions.
A rigorous approach to industrial software engineering involves applying disciplined, systematic, and methodical practices throughout the software development lifecycle. This approach aims to enhance the quality, reliability, and maintainability of software products while minimizing risks and costs. Key components of a rigorous approach to industrial software engineering include: 1. **Formal Methods**: Utilizing mathematical techniques and models to specify, develop, and verify software systems. Formal methods help in ensuring that systems meet their specifications precisely.
In computer science, semantics refers to the meaning of programs and programming languages. It is concerned with understanding what different constructs in a programming language do and how they behave when executed. Semantics defines how the elements of a programming language relate to what they represent, allowing for reasoning about the behavior and effects of programs.
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!
Intro to OurBigBook
. Source. We have two killer features:
- 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-calculusArticles 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/derivativeVideo 2. OurBigBook Web topics demo. Source. - 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.
- to OurBigBook.com to get awesome multi-user features like topics and likes
- as HTML files to a static website, which you can host yourself for free on many external providers like GitHub Pages, and remain in full control
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. - Infinitely deep tables of contents:
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





