A spontaneous process is a physical or chemical change that occurs without the need for external energy inputs once it has begun. In other words, these processes are driven by natural tendencies of systems to move toward a state of lower energy or greater entropy (disorder). Spontaneous processes can happen at various rates; some occur quickly while others may be very slow.
The stack effect, also known as the chimney effect, is a phenomenon that occurs in buildings due to temperature differences between the indoor and outdoor environments. It is a natural ventilation process wherein warm air rises and exits through openings in the upper parts of a building, creating a pressure difference that draws in cooler air from lower openings.
The State Postulate, also known as the State Principle, is a fundamental concept in thermodynamics and statistical mechanics. It asserts that the state of a thermodynamic system is completely defined by a set of macroscopic properties, or variables, and that these properties are sufficient to describe the system's state at a given moment.
"Thermodynamik chemischer Vorgänge" refers to the thermodynamics of chemical processes. It is a branch of physical chemistry that deals with the principles and laws governing the energy changes and equilibrium states during chemical reactions and phase transformations. Key concepts in the thermodynamics of chemical processes include: 1. **Enthalpy (H)**: A measure of the total heat content of a system.
Thermal equilibrium refers to a condition in which two or more objects or systems exchanged heat until they reach the same temperature, resulting in no net flow of thermal energy between them. At thermal equilibrium, the temperature of the objects remains constant over time because the energy they exchange is balanced.
Andrey Markov Jr. appears to be a reference to a basketball player, likely the son of former NHL player Andrey Markov. He is known for his youth basketball achievements and may be gaining attention in athletic circles. However, there is limited information available on him, and he may not be widely recognized outside of specific sports communities.
Thermal physics is a branch of physics that deals with the concepts of heat and temperature and their relation to energy and work. It encompasses the principles of thermodynamics, statistical mechanics, and kinetic theory, and provides a comprehensive understanding of how thermal energy affects physical systems. Key areas within thermal physics include: 1. **Thermodynamics**: This is the study of the relationships between heat, work, temperature, and energy.
The triple point of a substance is the specific temperature and pressure at which the three phases of that substance—solid, liquid, and gas—can coexist in thermodynamic equilibrium. At this unique point, the solid, liquid, and vapor phases of the substance are in balance, meaning that any change in one phase can lead to the formation or conversion into another phase without altering the overall pressure and temperature.
Alice T. Schafer was a notable American mathematician recognized for her contributions to mathematics and mathematics education. She was one of the few women to earn a Ph.D. in mathematics during her time, receiving her degree from Radcliffe College in 1940. Schafer was an advocate for increasing the participation of women in mathematics and played a significant role in mathematics education.
In thermodynamics, "work" is a defined form of energy transfer that occurs when a force is applied to an object, causing that object to move. Work is a fundamental concept and is closely associated with energy changes in a system. In the context of thermodynamics, work is usually denoted by \( W \) and can be expressed mathematically.
A working fluid is a substance used in thermodynamic cycles to transfer energy, typically in the form of heat, work, or both. It is the medium through which energy is exchanged in various thermal processes, such as heat engines, refrigeration cycles, and heat pumps. Key characteristics of working fluids include: 1. **Phase Change**: Many working fluids undergo phase changes (e.g.
The Alexandroff plank, named after the Russian mathematician Pavel Alexandroff, is a specific topological space that serves as an example in topology, particularly in the study of compactness and connectedness. It is constructed by taking the product of a closed interval with a certain type of topological space.
Hawaiian earrings typically refer to earrings that are inspired by the traditional art and culture of Hawaii. These earrings often feature motifs and designs that are associated with Hawaiian imagery, such as flowers (like hibiscus), sea life, and other natural elements that reflect the beauty of the islands. Materials used in Hawaiian earrings can vary widely, including precious metals, shells, wood, and coral.
In the context of mathematics, particularly functional analysis and linear algebra, the term "Ran space" typically refers to the range of a linear operator or a linear transformation. The range (or image) of a linear operator \( T: V \to W \), where \( V \) and \( W \) are vector spaces, is the set of all vectors in \( W \) that can be expressed as \( T(v) \) for some \( v \) in \( V \).
Rational sequence topology is a type of topology that can be defined on the set of rational numbers, and it provides a way to study properties of rational numbers using a topological framework. This topology is notably used in mathematical analysis and can be insightful for understanding convergence, continuity, and compactness in contexts where the standard topology on the rationals (induced by the Euclidean topology on the real numbers) may not be ideal.
The Sierpiński carpet is a well-known fractal and two-dimensional geometric figure that exhibits self-similarity. It is constructed by starting with a solid square and recursively removing smaller squares from it according to a specific pattern. Here’s how it is typically created: 1. **Start with a Square**: Begin with a large square, which is often considered a unit square (1 x 1).
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





