In the context of calculus, an **exact differential** refers to a differential expression that is associated with a function whose total differential can be expressed as a specific type of mathematical form.
A fan is a mechanical device that creates airflow by converting electrical energy (or, in some cases, other forms of energy) into kinetic energy. Fans are widely used for various applications, including cooling, ventilation, and air circulation in homes, offices, industrial settings, and vehicles. Here are some key components and concepts related to fans: 1. **Rotor and Blades**: The rotor is the rotating part of the fan that consists of blades designed to push or pull air.
A frigorific mixture is a combination of substances that, when mixed together, produces a cooling effect. This effect is typically achieved through an endothermic reaction, where the mixture absorbs heat from its surroundings, resulting in a drop in temperature. Common examples of frigorific mixtures include: 1. **Salt and Ice**: When salt is added to ice, it lowers the freezing point of the ice, causing the ice to melt and absorb heat from the environment, resulting in a cold mixture.
The Grand potential is a thermodynamic potential used primarily in the context of statistical mechanics and quantum mechanics. It is particularly useful for systems where the number of particles can vary, such as in grand canonical ensembles, where both energy and particle number can fluctuate.
Internal heating typically refers to the process by which an object or material generates heat from within, often as a result of metabolic activity, chemical reactions, or electrical resistance. This concept can be applied in various contexts, including: 1. **Biological Context**: In living organisms, internal heating can refer to the metabolic processes that generate heat, helping to maintain a stable body temperature (thermoregulation) in warm-blooded animals.
The Joule effect, also known as Joule heating or ohmic heating, refers to the phenomenon where electric current passing through a conductor generates heat. This effect occurs due to the resistance of the conductor, which converts electrical energy into thermal energy as electrons collide with atoms in the material.
The kinetic theory of gases is a scientific theory that explains the behavior of gases at the molecular level. It provides a framework for understanding how gases behave in terms of the motion and interactions of individual gas molecules. Here are the key points of the kinetic theory of gases: 1. **Molecular Composition:** Gases consist of a large number of molecules that are in constant random motion. These molecules are typically far apart relative to their sizes, leading to low density.
The term "spinodal" is primarily used in the context of thermodynamics, specifically in phase separation processes in materials science and physical chemistry. It refers to a specific type of phase transition that occurs when a mixture is unstable and can separate into two or more distinct phases. In a broader sense, spinodal decomposition is a mechanism that describes how a homogeneous mixture becomes unstable. The spinodal curve defines the limits within which phase separation can occur spontaneously, even without nucleation.
Thermal transmittance, often represented by the symbol \( U \), is a measure of how well a building element (such as walls, roofs, windows, or doors) can conduct heat. It quantifies the rate of heat transfer through a unit area of the building element for a temperature difference of one degree (typically measured in watts per square meter per degree Kelvin, W/m²·K or W/m²·°C).
Quantum heat engines and refrigerators are devices that operate on the principles of quantum mechanics to convert thermal energy into work or to transfer heat from one body to another, respectively. They seek to exploit quantum phenomena to improve efficiency or performance beyond classical limits. Here’s an overview of both concepts: ### Quantum Heat Engines A **quantum heat engine** is a theoretical model that operates on quantum mechanical principles to convert heat energy into mechanical work.
A pressure-volume (P-V) diagram is a graphical representation used in thermodynamics to illustrate the relationship between the pressure (P) and volume (V) of a system, typically a gas, during various processes. The diagram provides insights into the behavior of gases during expansion, compression, and phase changes. ### Key Features of a P-V Diagram: 1. **Axes**: - The horizontal axis (x-axis) represents volume (V), often in liters or cubic meters.
Prigogine's theorem refers to ideas and principles derived from the work of Belgian physicist Ilya Prigogine, who was awarded the Nobel Prize in Chemistry in 1977 for his contributions to the understanding of non-equilibrium thermodynamics. While the term "Prigogine's theorem" doesn't refer to a specific theorem in the traditional sense, Prigogine's work encompasses important concepts related to systems far from equilibrium, self-organization, and dissipative structures.
The Principle of Minimum Energy, also known as the Principle of Least Action, is a fundamental concept in physics and engineering. It states that a system will naturally evolve toward a state that minimizes its total energy, subject to any constraints. This principle can be applied in various disciplines, including mechanics, thermodynamics, and electromagnetism. In mechanical systems, for example, the principle suggests that the configuration of a mechanical system will settle into a position that requires the least amount of potential and kinetic energy.
Epidemic marketing refers to a strategy that uses the principles of viral marketing to encourage rapid and widespread dissemination of a message, product, or brand within a target audience. The term is inspired by the way infectious diseases spread, acknowledging that similar techniques can be used to create a "contagious" effect in marketing campaigns.
Alteon WebSystems is a company that specializes in network equipment and software that enhance the performance and security of web applications. Founded in the late 1990s, Alteon is particularly known for its products that provide load balancing, application delivery, and security features for web traffic. Their solutions help optimize website performance by distributing incoming traffic across multiple servers, ensuring high availability, reliability, and scalability for web applications.
Boo.com was an early online fashion retailer founded in 1998 by two Swedish entrepreneurs, Ernst Malmsten and Kajsa Leander, along with the British entrepreneur Karl-Johan Persson. The company aimed to revolutionize the shopping experience by offering a wide range of fashionable items through an innovative, interactive website that featured 3D graphics and a virtual shopping experience. Despite its ambitious vision and significant investment (reportedly around $135 million), Boo.
Cobalt Networks was a company known for its focus on providing solutions for remote access and management of computer networks and systems. It gained particular attention in the late 1990s and early 2000s for its products designed to facilitate remote server management, which included devices that allowed IT administrators to manage servers and networks from remote locations. One of its notable products was the Cobalt RaQ, a server designed for small to medium-sized businesses that wanted to host their own web servers.
Cyberian Outpost was an online retailer that specialized in selling computer hardware and software, as well as various tech-related products. Founded in the mid-1990s, it was one of the early entrants into the e-commerce space, catering to a growing market of internet users looking to purchase technology products online. The company became known for its wide selection of products, competitive pricing, and focus on customer service.
The Dot-com Party was a political party in the United States that emerged in the late 1990s during the dot-com boom. The party was founded in 1999 by a group of technology entrepreneurs, activists, and digital content creators who wanted to harness the power of the internet for political purposes. The party aimed to advocate for issues related to technology, digital rights, and internet freedom, and it emphasized the importance of innovation and the tech industry in modern society.
E-Dreams is an online travel agency and booking platform that provides users with the ability to search for and book various travel services, including flights, hotels, car rentals, and vacation packages. Founded in 2000, E-Dreams has grown to become one of the leading online travel agencies in Europe and operates in multiple countries.

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