A border outpost is a facility or station located at a border between two countries, often used for monitoring and controlling the movement of people, goods, and vehicles across the border. These outposts are typically manned by border security personnel, which can include customs officers, immigration officials, and military forces, depending on the country and the specific purpose of the outpost.
The borders of Mexico refer to its international boundaries with neighboring countries and bodies of water. Mexico shares its northern border with the United States, which is approximately 3,145 kilometers (1,954 miles) long and is one of the most frequently crossed borders in the world. This border is characterized by various geographic features, including deserts, rivers, and urban areas. To the southeast, Mexico shares a border with Guatemala and Belize.
The Born approximation is a method used in quantum scattering theory and other areas of physics to simplify the analysis of scattering processes. It is particularly useful when dealing with instances where the potential scattering is weak. The approximation derives from the mathematical treatment of scattering states and relies on certain assumptions about the interaction between particles.
A branch point is a concept primarily associated with complex analysis and algebraic geometry. Here are two contexts in which the term is commonly used: 1. **Complex Analysis**: In the context of complex functions, a branch point is a point where a multi-valued function (like the square root function or logarithm) is not single-valued. For example, consider the complex logarithm \( f(z) = \log(z) \).
Brazilian logicians refer to a group of philosophers and logicians from Brazil who have made significant contributions to the fields of logic, philosophy of language, and related areas. Brazil has a rich tradition in mathematical and philosophical logic, with several figures gaining international recognition for their work. Some notable Brazilian logicians include: 1. **Newton da Costa**: Known for his work in non-classical logics, particularly paraconsistent logic, which allows for contradictions to exist without leading to triviality.
Proper acceleration is the acceleration that an object experiences as measured by an accelerometer carried with that object. It is the physical acceleration felt by an observer in a non-inertial reference frame, taking into account any forces acting on the object, such as gravitational and inertial forces. In contrast to coordinate acceleration, which can vary depending on the observer's frame of reference, proper acceleration is an absolute measure of how an object is accelerating in its own frame.
Brook Taylor (1685–1731) was an English mathematician best known for his contributions to calculus and for the Taylor series, which is named after him. The Taylor series is a method that expresses a function as an infinite sum of terms calculated from the values of its derivatives at a single point. This concept is fundamental in mathematical analysis, providing a way to approximate complex functions with polynomials.
The Brouwer–Heyting–Kolmogorov (BHK) interpretation is a key principle in intuitionistic logic and type theory that provides a constructive interpretation of mathematical statements. It is named after mathematicians L.E.J. Brouwer, Arend Heyting, and Andrey Kolmogorov. Unlike classical logic, which allows for non-constructive proofs (such as proof by contradiction), intuitionistic logic emphasizes the need for constructive evidence of existence.
Calibrated probability assessment refers to the process of estimating probabilities in a way that ensures these probabilities accurately reflect the likelihood of the events they represent. In other words, if you predict that an event has a 70% chance of occurring, then, over a large number of such predictions, you would expect that event to occur approximately 70% of the time. This concept is especially important in fields such as machine learning, statistics, and decision-making, where accurate probability assessments can significantly influence outcomes.
The Cascadia Channel refers to a geological feature in the Pacific Ocean, specifically related to the region along the Cascadia Subduction Zone, which runs from northern California up through Oregon and Washington to British Columbia, Canada. This subduction zone is characterized by the convergence of the Juan de Fuca Plate and the North American Plate. The Cascadia Channel itself may refer to a specific underwater valley or trench in this region, which can play a role in geological and oceanographic processes.
"Catasterismi" refers to a collection of ancient Greek writings attributed to the scholar and poet Eratosthenes, who lived in the 3rd century BCE. The term itself is derived from the Greek word "catasterismoi," which means "transformations into stars." The work is a compilation of myths and fables explaining the origins of various constellations and celestial bodies in the night sky.
Catherine Hirshfeld Crouch is a notable physicist known for her contributions to experimental condensed matter physics and materials science. She is recognized for her work on various topics, including the study of complex materials, interfaces, and nanostructures. Crouch has held positions in academia and has contributed to the advancement of scientific understanding in her field.
The Centre for Mechanochemical Cell Biology (CMCB) is an interdisciplinary research center that focuses on the fundamental mechanisms of cell biology, particularly the physical and chemical processes that govern cell behavior and function. It typically brings together researchers from various fields such as biology, physics, chemistry, and engineering to study how mechanical forces and chemical signals influence cellular processes, including cell movement, division, and communication. Research areas may include: - Mechanotransduction: Understanding how cells sense and respond to mechanical stimuli.

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