A *braided monoidal category* is a particular type of category that combines the structure of a monoidal category with a braiding. To understand this structure, let's unpack a few key concepts. 1. **Monoidal Category**: A monoidal category consists of: - A category \( C \). - A tensor product (a bifunctor) \( \otimes: C \times C \to C \).
Boris Pritychenko is a researcher and scientist known for his work in the fields of physics and engineering, particularly in the area of particle physics and experimental methods. He has worked on various projects and has published numerous papers in scientific journals.
Boris Shklovskii is a notable physicist and researcher, particularly recognized for his contributions to the fields of condensed matter physics and statistical physics. He has made significant advancements in understanding disordered systems, localization phenomena, and transport properties in various materials. Shklovskii is best known for his work on the effects of disorder in solids and for his research on phenomena such as electron localization and the behavior of charge carriers in disordered systems.
The Born rule is a fundamental principle in quantum mechanics that provides a way to calculate the probability of finding a quantum system in a particular state after a measurement is made. It was formulated by the physicist Max Born in 1926 and is a key element in the interpretation of quantum mechanics.
The Born series, named after Max Born, refers to a sequence of terms used in quantum mechanics to solve problems involving scattering processes. The Born series is particularly relevant in the context of the scattering theory where it provides an iterative method for calculating the scattering amplitude. The Born series is often expressed as a power series expansion in terms of the interaction potential \( V \) in the context of the time-independent Schrödinger equation.
Boundary markers, also known as boundary markers or boundary stones, are physical indicators or structures that delineate the limits or borders of a property, territory, or jurisdiction. They can be found in various contexts, such as land ownership, political boundaries, and legal jurisdictions. The purpose of boundary markers is to provide a clear and recognizable demarcation to prevent disputes and misunderstandings regarding land or property rights.
A "prompt neutron" refers to neutrons that are emitted immediately during a nuclear fission event, as opposed to delayed neutrons, which are emitted by the beta decay of fission products some time after the initial fission reaction. In a fission event, when a heavy nucleus (such as Uranium-235 or Plutonium-239) absorbs a neutron and becomes unstable, it splits into two smaller nuclei, releasing a significant amount of energy and several neutrons almost instantaneously.
As of my last knowledge update in October 2023, "Boyd Bartlett" doesn't refer to a widely recognized figure, concept, or entity within popular culture, science, literature, or history. It's possible that it could refer to a lesser-known individual, a fictional character, or a term that's come into use more recently than my last update.
Braid groups are a fundamental concept in algebraic topology and group theory. They arise from the study of braids, which can be visualized as strands of string intertwined in a specific manner. ### Definition The braid group \( B_n \) consists of equivalence classes of braids with \( n \) strands. Each braid can be represented as a series of points in a plane, where strands are allowed to cross over each other but cannot break or end.
The Brauer–Suzuki theorem is a result in group theory, specifically in the area of representation theory and the theory of finite groups. Named after mathematicians Richard Brauer and Michio Suzuki, the theorem provides important conditions for the existence of certain types of groups and their representations. One of the most prominent statements of the Brauer–Suzuki theorem pertains to the structure of finite groups, characterizing when a certain kind of simple group can be singly generated by an element of specific order.
Geometric topology is a branch of mathematics that studies the properties of topological spaces and the structures that arise from geometric objects. It primarily focuses on the properties of spaces that are preserved under continuous transformations (homeomorphisms). The field combines ideas from algebraic topology, differential topology, and various geometric considerations. Some key areas of interest in geometric topology include: 1. **3-Manifolds**: A significant portion of geometric topology is devoted to the study of three-dimensional manifolds.
British nuclear engineers are professionals in the United Kingdom who specialize in the design, development, operation, and maintenance of nuclear power plants and other nuclear facilities. Their work often involves a diverse range of activities, including: 1. **Plant Design and Safety**: Ensuring that nuclear power plants are designed to operate safely and efficiently while adhering to stringent regulatory standards. 2. **Fuel Management**: Handling and managing nuclear fuel, including its procurement, usage, and eventual disposal or recycling.
Broadband Acoustic Resonance Dissolution Spectroscopy (BARDS) is an analytical technique that leverages acoustics to study materials, particularly in the context of pharmaceutical analysis and characterization. This method is used to gain insights into the structural aspects and dissolution properties of solid dosage forms, such as tablets and powders. ### Key Features of BARDS: 1. **Acoustic Resonance**: The technique involves the use of acoustic waves that resonate within a sample.
Bronisław Knaster (1888–1983) was a Polish mathematician known for his contributions to topology and functional analysis. He was a notable figure in the field of mathematics during the early to mid-20th century and is recognized for his work on various mathematical concepts, including connectedness and continuity.
Bruce Aikenhead is a prominent figure in the field of science education, known particularly for his contributions to understanding and improving the teaching and learning of science in schools. He has worked extensively on the philosophy of science education, curriculum development, and the integration of scientific literacy in educational practices. His research often focuses on how students comprehend scientific concepts and the best approaches for teaching these concepts effectively.
In the context of optical fiber, a **buffer** refers to a protective layer or coating that surrounds the optical fiber strands. The primary purpose of the buffer is to provide mechanical protection to the delicate glass fibers, which are sensitive to bending and breaking. Buffers help to absorb shocks, prevent damage from environmental factors like moisture, and reduce the effects of external stressors on the optical fiber.
The Bureau of Oceans and International Environmental and Scientific Affairs (OES) is a division of the U.S. Department of State. Its primary focus is to address global challenges related to oceans, the environment, and scientific issues. The bureau plays a crucial role in promoting U.S. interests in these areas by engaging in international negotiations, developing policies, and collaborating with other countries and international organizations.
Zlatko Tesanovic could refer to a specific individual, but as of my last knowledge update in October 2023, there are no widely known references or notable figures by that name in public databases, literature, or media. If you're looking for information about a specific person named Zlatko Tesanovic or a related topic, could you please provide more context or details?

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