Maxwell's thermodynamic surface is a conceptual representation in thermodynamics that illustrates the relationship between different thermodynamic variables, particularly entropy, volume, and energy. It is typically depicted as a multidimensional surface in a three-dimensional space where the axes represent entropy (S), volume (V), and internal energy (U). The surface provides a visual framework to understand how changes in one variable can affect the others and helps to derive relationships between different thermodynamic properties.
Radiative cooling is a natural process by which an object loses heat by emitting infrared radiation. This occurs when the surface of the object absorbs heat from its surroundings or the sun and then emits that energy in the form of thermal radiation. The efficiency of radiative cooling depends on several factors, including the temperature of the object, the ambient temperature, and the object's ability to emit infrared radiation.
Rubber elasticity refers to the remarkable ability of rubber and rubber-like materials to stretch and return to their original shape after being deformed. It is a key characteristic of elastomers, which are a class of polymers. The underlying principle of rubber elasticity is based on the molecular structure of rubber, which consists of long, tangled chains of polymer molecules. When a force is applied, these chains are pulled apart, allowing the material to stretch.
A sand bath is a method of heating or cooking that uses sand as the medium to transfer heat. It can serve various purposes depending on the context in which it is used: 1. **Cooking**: In some cultures, food can be cooked by placing it in a container filled with hot sand. The sand retains and distributes heat evenly, providing a unique way to cook food, particularly in outdoor settings or traditional cooking methods.
Second sound is a phenomenon observed in certain superfluid materials, notably in liquid helium-4 when it is cooled to temperatures near absolute zero. In these states, the normal laws of thermal conduction change, and heat can propagate as a wave, rather than by conventional conduction. In classical materials, heat is transferred by the diffusion of thermal energy, which can be thought of as a statistical flow of phonons (quanta of vibrational energy) and other excitations.
The Simon-Glatzel equation is an empirical relationship used in geophysics and geological engineering to describe the mechanical behavior of rocks under varying stress conditions. Specifically, it relates to the behavior of rocks under triaxial stress, which occurs in many geological and engineering contexts.
Standard Temperature and Pressure (STP) is a set of conditions commonly used in chemistry and physics to allow for the comparison of measurements and calculations. The standard conditions are defined as: - **Standard Temperature**: 0 degrees Celsius (273.15 Kelvin) - **Standard Pressure**: 1 atmosphere (atm), which is equivalent to 101.325 kilopascals (kPa) or 760 millimeters of mercury (mmHg).
A thermal reservoir is a system, typically part of a thermodynamic cycle, that can absorb and release heat without experiencing a significant change in temperature. It acts as a source or sink for thermal energy and is usually conceptualized in discussions of heat engines, refrigerators, and other thermal systems. In essence, thermal reservoirs can be divided into two main categories: 1. **Hot Reservoir**: This is a source of heat at a higher temperature.
Vis viva, a Latin term meaning "living force," refers to the concept of kinetic energy in classical mechanics. It was introduced by the philosopher Gottfried Wilhelm Leibniz in the 17th century. The concept of vis viva states that the amount of motion (or "living force") of an object is proportional to the product of its mass and the square of its velocity.
A vortex tube is a device that separates compressed air into hot and cold air streams without any moving parts. It utilizes the principles of fluid dynamics, specifically the vortex effect, to achieve this temperature separation. **How it Works:** 1. **Compressed Air Input**: Compressed air enters the vortex tube tangentially, causing it to spin rapidly inside the tube.
The tog is a unit of thermal insulation used primarily in the textile and bedding industries. It measures the thermal resistance of materials, particularly duvets and quilts, indicating how warm the bedding will keep a person during sleep. The tog rating usually ranges from about 1 to 15, with lower tog values (1-4) indicating lighter and cooler bedding suitable for warmer weather, while higher tog values (10-15) indicate warmer bedding for colder conditions.
A three-dimensional edge-matching puzzle is a type of spatial puzzle that involves fitting together pieces with matching edges to form a coherent three-dimensional structure. Each piece is typically a geometric shape, such as a cube or a polyhedron, and features different colors, patterns, or designs along its edges. The challenge is to assemble these pieces such that adjacent edges match according to specific rules or criteria.
"Letters from Lehrer" is a collection of essays and writings by the American journalist and writer Jim Lehrer. Jim Lehrer was well-known for his work as a news anchor and the moderator of "PBS NewsHour." In "Letters from Lehrer," he reflects on his experiences, thoughts, and observations about journalism, politics, and life. The collection showcases Lehrer's writing style, which often blends personal insights with commentary on the broader social and political landscape.
Alan Reid is a mathematician known for his contributions to the fields of topology and geometric group theory. He has worked extensively on topics related to 3-manifolds, particularly in relation to the study of hyperbolic geometry and the topology of manifolds. His research often intersects with areas such as knot theory and the structure of groups, including the interplay between algebra and geometry. Reid has authored several influential papers and has been involved in various academic discussions and conferences related to his areas of expertise.
The discrete two-point space is a simple topological space consisting of exactly two distinct points. Usually, these points are denoted as \( \{a, b\} \). The key feature of this topological space is that every subset of the space is considered an open set. This means the topology on this space can be defined as follows: 1. The empty set \( \emptyset \) is open.
The Knaster–Kuratowski fan is a topological space that provides an example of a compact, connected, non-metrizable space. It is constructed to illustrate specific properties in topology, particularly in the context of compactness, connectedness, and the significance of local properties.
Partition topology is a concept used in the field of topology, specifically in the study of different ways to define topological structures on a set. It involves creating a topology by considering a partition of a set. ### Definitions: - **Set**: A collection of distinct objects, considered as an object in its own right.
As of my last knowledge update in October 2021, Alexandr Mishchenko is not widely recognized in a specific context such as politics, literature, or entertainment. It's possible that he could be a figure in a specialized field or a more recent individual who gained prominence after my last data cutoff. If you could provide more context or specify the field in which you're interested (e.g.
Anatoly Fomenko is a Russian mathematician and historian known for his controversial theories regarding history and chronology. Born on March 13, 1945, Fomenko is a professor at Moscow State University, where he has contributed to various fields, including topology and geometry. Fomenko is best known for his work on "New Chronology," a theory that challenges conventional historical timelines.

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