BB84 is a quantum key distribution (QKD) protocol developed by Charles Bennett and Gilles Brassard in 1984. It is one of the first and most well-known QKD protocols and is designed to allow two parties to securely share a secret cryptographic key over an insecure communication channel. The BB84 protocol relies on the principles of quantum mechanics, particularly the behavior of quantum bits (qubits).
A **B-convex space** is a concept from functional analysis and convex analysis that generalizes the idea of convexity in mathematical spaces. In a B-convex space, the traditional notion of convex combinations is extended to allow for certain types of structured combinations of points.
Bernard Chazelle is a prominent computer scientist known for his contributions to algorithms and computational geometry. He has worked on various topics, including data structures, graph theory, and optimization. Chazelle is a professor at Princeton University and has authored several papers and books in his field. He is also known for his engaging teaching style and has made significant contributions to the educational resources in computer science.
The Bilibino Nuclear Power Plant (BNPP) is a nuclear power facility located in the Chukotka Autonomous Okrug of Russia, near the town of Bilibino. It is significant for being one of the few nuclear power plants in the Russian Far East and is notable for its use of low-powered reactors. ### Key Features: 1. **Reactor Type**: The plant originally consisted of four BN-600 reactors, which are small, light-water reactors.
The "Biographical Encyclopedia of Astronomers" is a comprehensive reference work that provides biographical entries on notable astronomers throughout history. It includes detailed information about their lives, contributions to the field of astronomy, discoveries, and the contexts in which they worked. Typically, it includes not only well-known figures but also lesser-known astronomers, giving a broad overview of the history of the discipline.
Andreu Mas-Colell is a prominent Spanish economist known for his contributions to economic theory, particularly in the fields of microeconomics, game theory, and auction theory. He has published extensively and is recognized for his work on the foundations of economic mechanisms and the mathematical underpinnings of economic models. In addition to his research contributions, Mas-Colell has held significant academic and administrative positions.
The Bismuth Phosphate process is a method used in the field of hydrometallurgy for the extraction and purification of certain metals, particularly uranium and thorium. This process involves the precipitation of bismuth phosphate (BiPO₄) from a solution containing these metals. ### Key Steps of the Process: 1. **Solution Preparation**: The process begins with the preparation of an aqueous solution that contains the metal ions of interest, typically uranium or thorium.
A bisymmetric matrix is a square matrix that is symmetric with respect to both its main diagonal and its anti-diagonal (the diagonal from the top right to the bottom left).
scholarworks.sjsu.edu/cgi/viewcontent.cgi?referer=https://www.google.com/&httpsredir=1&article=5051&context=etd_theses proves that the Mathieu group is simple in just 200 pages. Nice.
The BSD conjecture states that if your name is long enough, it will always count as two letters on a famous conjecture.
Maybe also insert a joke about BSD Operating Systems if you're into that kind of stuff.
The conjecture states that Equation 1. "BSD conjecture" holds for every elliptic curve over the rational numbers (which is defined by its constants and )
Equation 1. . Where the following numbers are defined for the elliptic curve we are currently considering, defined by its constants and :
- : number of elements of the elliptic curve over the finite field, where the finite field comes from the reduction of an elliptic curve from to . can be calculated algorithmically with Schoof's algorithm in polynomial time
- : rank of the elliptic curve over the rational numbers. We don't really have a good general way to calculate this besides this conjecture (?).
- : a constant
The conjecture, if true, provides a (possibly inefficient) way to calculate the rank of an elliptic curve over the rational numbers, since we can calculate the number of elements of an elliptic curve over a finite field by Schoof's algorithm in polynomial time. So it is just a matter of calculating like that up to some point at which we are quite certain about .
The Wikipedia page of the this conecture is the perfect example of why it is not possible to teach natural sciences on Wikipedia. A million dollar problem, and the page is thoroughly incomprehensible unless you already know everything!
Birch and Swinnerton-Dyer conjecture by Kinertia (2020)
Source. The biological pump refers to a key process in the ocean's carbon cycle that helps regulate atmospheric carbon dioxide levels and thus plays a critical role in mitigating climate change. It involves the transfer of carbon from the surface ocean to the deep ocean through biological processes. Here's how it works: 1. **Primary Production**: Phytoplankton, microscopic plants in the ocean, utilize sunlight and nutrients to photosynthesize, converting carbon dioxide (CO2) from the atmosphere into organic matter.
Boiling-point elevation is a colligative property of solutions that describes the phenomenon where the boiling point of a solvent increases when a non-volatile solute is dissolved in it. This occurs because the presence of solute particles interferes with the ability of solvent molecules to escape into the vapor phase, which is necessary for boiling to occur.
Bolivian physicists are individuals from Bolivia who specialize in the field of physics, which is the branch of science that studies matter, energy, and the fundamental forces of nature. Like physicists in other countries, Bolivian physicists may work in various subfields, including theoretical physics, experimental physics, condensed matter physics, astrophysics, and more. Many Bolivian physicists engage in academic research, contribute to scientific publications, teach at universities, and participate in international collaborations.
The Boolean model of information retrieval is a foundational approach to organizing and retrieving information based on Boolean logic, which uses operators such as AND, OR, and NOT to combine search terms. Developed in the mid-20th century, this model was one of the first methods used in databases and search engines to fetch documents based on user queries. ### Key Features: 1. **Boolean Operators**: - **AND**: Connects two or more terms and retrieves documents that contain all the specified terms.
The Boolean Pythagorean triples problem is a mathematical question that involves the search for sets of integers that satisfy a specific condition related to the Pythagorean theorem, with an additional constraint concerning the use of boolean values (0 and 1).
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) \( \otimes: C \times C \to C \).
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.
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







