John H. Lienhard V is an American engineer, author, and professor known for his work in the fields of mechanical engineering and thermal sciences. He is particularly recognized for his contributions to heat transfer, thermodynamics, and fluid mechanics. Lienhard has been involved in various educational and research initiatives, and he is also known for his popular public radio series "The Engines of Our Ingenuity," which explores the history and impact of engineering and technology on human life.
Entropy is a measure of the amount of disorder or randomness in a system, commonly used in thermodynamics, information theory, and various fields of science. The units of entropy depend on the context in which it is being used: 1. **Thermodynamics**: In thermodynamics, entropy is typically measured in joules per kelvin (J/K) in the International System of Units (SI).
Homologous temperature is a concept used in materials science, particularly in the study of the mechanical behavior of materials at elevated temperatures. It is defined as the ratio of the temperature of the material (in absolute terms, such as Kelvin) to its melting temperature (also in absolute terms).
"Maximum parcel level" can refer to different concepts depending on the context in which it is used. In general terms, it is often associated with geography, real estate, logistics, or zoning regulations. Here are a few potential interpretations: 1. **Geographical Context**: It may refer to the highest point or elevation of a specific parcel of land, which might be relevant in topographical studies or environmental assessments.
Thermokinetics is a term often used to describe the study of the relationship between thermal energy and kinetic processes in materials, particularly in the context of chemical reactions and phase transitions. It combines principles from thermodynamics and kinetics to understand how temperature influences the rate of reactions and the behavior of matter. Key aspects of thermokinetics may include: 1. **Temperature Dependence**: Investigating how reaction rates and physical properties of materials change with temperature.
The TORRO scale is a classification system used to categorize tornadoes based on their estimated wind speeds and the damage they cause. Developed in the United Kingdom by the Tornado and Storm Research Organisation (TORRO) in the late 1970s, the scale ranges from T0 to T10. Here’s a brief overview of the types: - **T0 (Light Tornado)**: Wind speeds less than 40 mph; typically causes little to no damage.
A thousandth of an inch is a unit of measurement that represents one-thousandth (1/1,000) of an inch. It is commonly referred to as a "mil" in many contexts, especially in manufacturing and engineering. To give you a more precise idea: - 1 thousandth of an inch = 0.001 inches - In metric units, this is approximately 0.0254 millimeters.
Tornado intensity refers to the strength of a tornado, which is typically measured using the Enhanced Fujita (EF) scale. This scale categorizes tornadoes based on the estimated wind speeds and the resulting damage to buildings and vegetation. The EF scale ranges from EF0 to EF5: - **EF0**: Wind speeds of 65-85 mph (105-137 km/h); minor damage, such as broken branches and damaged signs.
The Petrie dual is a concept in the field of geometry and topology, particularly in the study of polyhedra and regular polytopes. It is a specific type of duality that applies to certain polyhedra. In essence, each polyhedron can be associated with a dual polyhedron where the vertices, edges, and faces are transformed in a systematic way.
A "hurricane party" is a social gathering that takes place in the days leading up to or during a hurricane, particularly when people are in areas that are expected to be affected by the storm. The term is often used somewhat humorously, suggesting that some people choose to host a party at their home to ride out the storm with friends and family, rather than evacuating.
A Nor'easter is a type of storm that primarily affects the northeastern United States, characterized by strong winds coming from the northeast. These storms typically occur in the fall, winter, and early spring and can bring heavy snow, rain, and coastal flooding. Nor'easters develop when warm, moist air from the Gulf of Mexico meets cold air from Canada. As the warm air rises over the cold air, it can create low-pressure systems that can intensify rapidly.
Turán's brick factory problem is a classic problem in combinatorial optimization, particularly in the field of graph theory. It is named after the Hungarian mathematician Paul Erdős and his colleague László Turán, who studied problems involving extremal graph theory. The problem can be described as follows: Imagine a brick factory that produces bricks of various colors.
The Kodaira vanishing theorem is a fundamental result in algebraic geometry, named after Kunihiko Kodaira. It provides important information about the cohomology of certain types of sheaves on smooth projective varieties. ### Statement of the Theorem In its classical form, the Kodaira vanishing theorem can be stated as follows: Let \( X \) be a smooth projective variety over the complex numbers, and let \( L \) be an ample line bundle on \( X \).
In algebraic geometry, an **invertible sheaf** (also known as a line sheaf) is a specific type of coherent sheaf that is locally isomorphic to the sheaf of sections of the structure sheaf of a variety.
In algebraic geometry, a **sheaf** is a mathematical structure that encodes local data that can be consistently patched together over a topological space. When we extend this concept to **algebraic stacks**, the notion of a sheaf plays a crucial role in the study of coherent structures on these more complex spaces.
The Haar measure is an important concept in the area of harmonic analysis and abstract algebra, specifically in the context of topological groups. It is a way of defining a measure on a locally compact topological group that is left-invariant (or right-invariant), which means it remains unchanged (invariant) under the group's operations.
A supermodular function is a type of set function that has properties similar to convex functions, particularly in the context of discrete optimization and game theory.
Speedrunning is a gaming practice where players attempt to complete a video game or a specific segment of a game as quickly as possible. This can involve optimizing gameplay, employing skills, and often exploiting game mechanics or glitches to reduce the completion time. Speedrunning can take several forms, including: 1. **Any%**: Completing the game as fast as possible, without restrictions on the means used (including glitches).
A forward auction is a type of auction in which sellers offer their goods or services to potential buyers, and buyers compete with each other by placing increasingly higher bids. The auction typically starts with a minimum bid established by the seller, and interested buyers place their bids until no one is willing to bid higher. The auction ends when the bidding time expires or the seller decides to accept the highest bid.
A multiunit auction is a type of auction where multiple identical items or units are sold simultaneously rather than a single item. This format contrasts with single-unit auctions, where one item is up for bid at a time. Multiunit auctions are commonly used in various contexts, such as: 1. **Government Procurement**: Governments might auction off rights to use resources (like spectrum frequencies) or contracts for services.
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





