The term "thermohaline staircase" refers to a specific feature in the ocean's thermohaline circulation, characterized by a series of distinct layers of water that have varying temperatures (thermo) and salinities (haline). This phenomenon is often observed in certain regions of the ocean, particularly in areas where there is strong stratification due to differences in water density caused by temperature and salinity variations.
The Fluctuation Theorem is a significant result in statistical mechanics and nonequilibrium thermodynamics that describes the likelihood of observing certain fluctuations in the thermodynamic properties of systems far from equilibrium. It provides a mathematical framework for understanding how thermodynamic quantities, such as entropy, deviate from their average values during fluctuations in small systems.
Peter's Four-Step Chemistry is a systematic approach used to streamline the process of organic synthesis. It was developed by chemist Peter W. Smith and emphasizes a four-step sequence that can be applied to various synthetic applications. The steps typically focus on: 1. **Formation of a Key Intermediate**: This step involves the creation of a crucial intermediate compound that will serve as a building block for further transformations.
Thomae's function, sometimes referred to as the "popcorn" function or "Thomae's staircase," is a well-known example in mathematical analysis and serves as a classic illustration of a function that is continuous at all irrational points but discontinuous at rational points.
Thomas Prince is an American astrophysicist known for his work in the field of observational astronomy and for his contributions to the study of cosmic phenomena such as supernovae and gamma-ray bursts. He has been instrumental in the development and use of high-energy astrophysics instruments and has collaborated on various projects that involve the analysis of data from space telescopes. Prince is also known for his role in the scientific community as an educator and mentor, often engaging with students and the next generation of scientists.
The Thompson Transitivity Theorem is a result in the field of order theory and is closely related to the study of partially ordered sets (posets) and their embeddings. The theorem is named after the mathematician Judith Thompson.
The Born-Haber cycle is a thermodynamic cycle used to understand the formation of ionic compounds from their elements by breaking down the lattice energy into individual steps. It provides a systematic approach to calculating lattice energy, which is the energy released when gaseous ions combine to form an ionic solid. The cycle relates various types of energy changes involved in the formation of an ionic compound.
Three-phase traffic theory is a concept that describes the behavior of traffic flow under various conditions. Developed by researchers in the field of traffic engineering, particularly by the work of B. S. Kerner and others, it categorizes traffic flow into three distinct phases: free flow, congested flow, and a transition phase between these two states. 1. **Free Flow Phase**: In this phase, vehicles move at high speeds without significant interaction or delays.
The term "cellular model" can refer to different concepts depending on the context in which it is used. Here are a few common interpretations: 1. **Cellular Automata**: In mathematics and computer science, a cellular automaton is a discrete model studied in computational theory. It consists of a grid of cells, each of which can be in a finite number of states (often just "alive" or "dead").
The Philidor position is a specific endgame scenario in chess, typically occurring in pawn endgames. It is named after the 18th-century chess player François-André Danican Philidor. This position features one player having a pawn on the seventh rank, while the opponent has a king and a pawn.
As of my last update in October 2023, "Fantasy Lords" does not specifically refer to a widely recognized game, book, or other media. It is possible that it could be a title related to a role-playing game, a fantasy novel, or a video game in development or niche communities. The term could also be used generically to describe leaders or significant figures in a fantasy setting.
Philip Moriarty is a physicist and educator known for his work in the fields of condensed matter physics and nanotechnology. He is also recognized for his efforts in science communication and education, often engaging with the public through various media to promote understanding of scientific concepts. Apart from his research, he contributes to discussions around science policy and the public perception of science.
Four-acceleration is a concept from the framework of special relativity and general relativity that describes the change in four-velocity of an object with respect to proper time. It serves as a relativistic generalization of classical acceleration. ### Definition: Four-acceleration, denoted often as \( A^\mu \), is defined as the derivative of the four-velocity \( U^\mu \) with respect to the proper time \( \tau \).
"Philipp Carl" could refer to different subjects depending on the context. It might be a name of a person, possibly a historical figure, artist, or a contemporary individual. It could also refer to a place, product, or brand. Without additional context, it's challenging to provide a specific answer.
Stuart Turner is recognized for his contributions to engineering, particularly in the field of electrical engineering and control systems. He is known for his work on innovative solutions and technologies. However, the name "Stuart Turner" could also refer to different individuals or companies, depending on the context. For example, Stuart Turner may also refer to a brand or company specializing in engineering and manufacturing pumps and pumping systems, offering products for various applications, including water supply and heating.
"Philosophiæ Naturalis Principia Mathematica," commonly referred to as the "Principia," is a seminal work in the field of physics and mathematics written by Sir Isaac Newton. First published in 1687, the Principia lays the groundwork for classical mechanics and describes Newton's laws of motion and universal gravitation. In the book, Newton presents a comprehensive framework for understanding the motion of celestial bodies and the forces that act upon them, using mathematical formulations.
Titus Pankey is not a widely recognized figure in popular culture, history, or current events up to my last knowledge update in October 2023. It is possible that he could be a private individual, a lesser-known personality, or a fictional character.
Tomasz Dietl is a prominent figure in the field of physics, particularly known for his work in condensed matter physics. He has made significant contributions to areas such as semiconductor physics and spintronics, which involves the study of the intrinsic spin of electrons and its associated magnetic moment, in addition to their charge. Dietl has authored numerous research papers and is recognized for his influence in advancing understanding of materials that exhibit interesting electric and magnetic properties.
The Parshin chain is a concept in the realm of algebraic geometry and is named after the mathematician A. N. Parshin. It is related to the study of algebraic curves and surfaces, particularly in terms of their properties and invariants as they relate to various algebraic fields and number fields. In a more specific context, the Parshin chain can refer to particular types of sequences of algebraic objects that exhibit certain coherency and structural properties.

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