A sleeve valve is a type of valve commonly used in fluid control applications, including water systems. It operates by controlling the flow of fluid through the use of a sliding sleeve that moves over or around a fixed valve seat. This design typically allows for smoother flow and better throttling capabilities compared to some other valve types.
Subsea valves are specialized valves designed for use in underwater environments, typically in the oil and gas industry. They are crucial components in subsea systems, which include pipelines, wellheads, and other equipment situated on the seabed. The primary functions of subsea valves are to control the flow of fluids (oil, gas, or water) and to provide safety mechanisms in high-pressure and harsh underwater conditions.
A swirl valve is a type of valve that is designed to enhance the mixing and flow characteristics of fluids in various applications, including internal combustion engines, gas turbines, and industrial processes. The primary function of a swirl valve is to create a swirling motion in the fluid passing through it, which can improve the efficiency of mixing and combustion, as well as enhance the overall performance of a system.
A tap, in the context of plumbing, refers to a device used to control the flow of liquid, usually water, from a pipe or container. It typically consists of a valve that allows you to turn the flow on or off, and can often be adjusted to vary the flow rate. Taps are commonly found in sinks, bathtubs, and hoses.
Valve leakage refers to the unintended escape of fluid (liquid or gas) through the valve when it is in a closed position. This phenomenon can occur due to various reasons, including wear and tear of the valve components, improper installation, damage to sealing surfaces, or degradation of the sealing material over time. Valve leakage can lead to loss of efficiency, reduced system performance, safety hazards, and increased operational costs, especially in industrial applications. In different contexts, the impact of valve leakage can vary.
Valve oil is a specialized lubricant used primarily for brass instruments, such as trumpets, trombones, and tubas. It is designed to reduce friction and ensure smooth operation of the valves, which are essential for changing the pitch and producing sound on these instruments. The oil helps to prevent corrosion, build-up of dirt and grime, and wear on the moving parts of the valves.
Lozovo Municipality is an administrative division located in the northeastern part of North Macedonia. It is situated within the vardar region and includes the settlement of Lozovo as its administrative center. The municipality is known for its agricultural activities and rural landscape. The area is characterized by a mix of local culture, agricultural development, and small population centers. Like many municipalities in North Macedonia, it may also have its own local governance structure, including a mayor and council, responsible for regional administration and community services.
Negotino Municipality is located in North Macedonia, within the Vardar Statistical Region. It encompasses the town of Negotino, which serves as its administrative center, along with several surrounding villages. The municipality is known for its agricultural activities, particularly the cultivation of grapevines and production of wine, as the region has a favorable climate for viticulture. Negotino is characterized by its historical and cultural significance, along with its scenic landscapes.
Rosoman Municipality is a municipality located in the northeastern part of North Macedonia. It is part of the Vardar region and includes the town of Rosoman, which serves as the municipal center. The municipality is characterized by a diverse landscape, including agricultural areas and small villages. The region has historical significance and cultural heritage, with agriculture being a key part of the local economy. The municipality is also known for its natural beauty, with opportunities for outdoor activities.
Function spaces are a fundamental concept in mathematical analysis and functional analysis that deal with collections of functions that share certain properties. Essentially, a function space is a set of functions which can be equipped with additional structure, such as a topology or a norm, that allows for the study of convergence, continuity, and other analytical properties.
The IBM 1440 is an early model of a computer system that was introduced by IBM in 1960. It was designed primarily for the business market and targeted at smaller businesses and organizations that needed a more affordable computing solution. The 1440 was part of IBM's Series/1 line of computers and was notable for being one of the first computers to use magnetic core memory, which provided faster access times compared to earlier technologies.
Hemicontinuity is a concept from the field of mathematical analysis, specifically within the study of functions and topology. It describes a type of continuity for set-valued functions (or multivalued functions), which associate each point in a domain with a set of values rather than a single value.
A graded vector space is a specific type of vector space that is decomposed into a direct sum of subspaces, each associated with a specific degree or grading. This setup is often used in various areas of mathematics, including algebra, geometry, and theoretical physics.
Vector calculus is a branch of mathematics that deals with vector fields and the differentiation and integration of vector functions. It combines concepts from calculus, linear algebra, and mathematical analysis to study fields in multiple dimensions, focusing particularly on the behavior of vectors in space. Key concepts in vector calculus include: 1. **Vectors**: A vector is a quantity defined by both magnitude and direction.
An indicator vector (or indicator variable) is a vector used in statistics and machine learning to represent categorical data in a binary format. It is commonly used in contexts such as regression analysis, classification problems, and other areas where categorical variables need to be included in mathematical models. In an indicator vector: - Each category of a variable is represented as a separate binary dimension (0 or 1).
A probability vector is a mathematical object that represents a probability distribution over a discrete set of outcomes. In simpler terms, it's a vector (an ordered list) where each element corresponds to the probability of a particular outcome occurring, and the sum of all the probabilities in the vector equals one. ### Key Characteristics of a Probability Vector: 1. **Non-negativity**: Each element of the probability vector must be non-negative. This means that the probability of any outcome cannot be less than zero.
A storm surge is a rise in sea level that occurs during a storm, primarily due to the combination of strong winds and low atmospheric pressure. This phenomenon can lead to coastal flooding and is most commonly associated with hurricanes and tropical storms. When a storm approaches land, the powerful winds push water toward the shore, causing the water level to increase dramatically. Additionally, the low barometric pressure associated with many storms allows the sea surface to rise further.
The right-hand rule is a mnemonic used in physics and mathematics to determine the direction of certain vector quantities in three-dimensional space. There are different applications of the right-hand rule depending on the context, but they generally involve using the fingers of the right hand to establish a direction based on a defined set of vectors.
Amateur crewed rocketry refers to the practice of individuals or groups, often outside of formal space agencies or commercial companies, designing, building, and launching rockets that are intended to carry human passengers. This activity typically involves non-professional enthusiasts, hobbyists, and sometimes small organizations dedicated to the development of rocketry for recreational, educational, or experimental purposes.
Individual vehicles refer to automobiles or other modes of transportation that are owned or used by a single person or household, as opposed to shared vehicles or public transportation options. This can include cars, motorcycles, bicycles, and even personal electric scooters. Individual vehicle ownership allows for personal convenience, flexibility in travel, and the ability to transport goods or passengers without depending on public transport schedules or availability.

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