Algebraic topology is a branch of mathematics that studies topological spaces with the help of algebraic methods. The primary goal of algebraic topology is to gain insights into the properties of topological spaces that are invariant under continuous deformations, such as stretching and bending, but not tearing or gluing. At its core, algebraic topology involves associating algebraic structures, such as groups, rings, or modules, to topological spaces.
Deniable encryption is a cryptographic technique that allows a sender or recipient of a message to deny having sent or received that message, even if they are compelled to reveal information about it. This means that, under certain conditions, it should be possible to convince a third party that the message does not exist, or that another person could have been the sender or recipient.
In set theory, the **union** of two or more sets is a fundamental operation that combines the elements of those sets into a new set. The union of sets collects all elements that are in at least one of the sets being considered, without duplication. The union of two sets \( A \) and \( B \) is denoted as \( A \cup B \).
MIME Object Security Services (MOSS) is a framework designed to enhance the security of data exchanged in the Multipurpose Internet Mail Extensions (MIME) format. MIME itself is an extension of the original format used for transmitting text files over the Internet, allowing for a variety of content types such as images, audio, and video to be sent in email and other Internet applications. MOSS introduces security features to MIME messages, primarily focusing on confidentiality, integrity, and authentication.
Robotics has evolved significantly over the decades, with advancements in technology, materials, and artificial intelligence contributing to its development. Here's a decade-by-decade overview of notable trends and milestones in robotics: ### 1950s - **Early Foundations**: The concept of robotics began to take form. George Devol invented the first programmable robot, "Unimate," which was designed for industrial tasks.
"A Man of Misconceptions" is a historical novel written by Jon Steele, published in 2013. The book tells the story of the life and adventures of the 17th-century Englishman, the astronomer, and mathematician Thomas Harriot, who was a contemporary of Galileo and Kepler. Harriot is portrayed as a man ahead of his time, grappling with the scientific and cultural limitations of his era.
The Dannie Heineman Prize for Astrophysics is an award established to recognize outstanding achievements in the field of astrophysics. It is jointly sponsored by the American Institute of Physics and the American Astronomical Society. The prize is awarded annually to individuals who have made significant contributions to the field, and it often honors achievements in specific areas such as observational or theoretical astrophysics. The winners of this prestigious prize typically include leading scientists who have advanced our understanding of the universe through research and innovation.
Prince is a lightweight block cipher that was designed for high performance in constrained environments, such as IoT devices and smart cards. It was introduced in 2012 by its creators, who wanted to provide a secure and efficient encryption solution. The cipher uses a structure known as a "substitution-permutation network" and operates on blocks of data.
A diffusion tube is a passive sampling device used to measure the concentration of certain gases or pollutants in the atmosphere, particularly in air quality monitoring. These tubes are typically made of a plastic or glass casing filled with a specific absorbent material or chemical that reacts with the target gas. ### Key Features of Diffusion Tubes: 1. **Passive Sampling**: Diffusion tubes work without the need for pumps or electrical components.
Amedeo Odoni is known for his contributions to the field of operations research and aerospace engineering, particularly in air transportation systems and airport operations. He has been involved in various research efforts aimed at improving the efficiency of air transportation networks and airport management. His work often focuses on the optimization of air traffic flow, airport capacity, and the design of air traffic control systems.
Robert Edward Bell might refer to different individuals depending on the context, as there may be multiple people with that name. However, one notable Robert Edward Bell is a professor in the field of electrical engineering and computer science, known for contributions in areas such as telecommunications and signal processing.
Hartmut Bärnighausen is a prominent figure known for his work in public health and global health research. He is affiliated with institutions such as the Harvard T.H. Chan School of Public Health, where he focuses on areas like health systems, health policy, and the evaluation of health interventions, particularly in low- and middle-income countries. His research often emphasizes the importance of health equity and the social determinants of health.
Helen Megaw is an accomplished scientist known for her contributions to materials science and crystallography. She has been involved in research related to the properties and structures of various materials, particularly in the context of mineralogy and the study of crystalline substances. Megaw's work has significantly contributed to our understanding of the relationships between crystal structures and their physical properties. In addition to her research, she is also recognized for her role in academia, particularly in mentoring students and contributing to scientific education.
The British Crystallographic Association (BCA) is a professional organization dedicated to promoting the study and application of crystallography, a branch of science that deals with the arrangement of atoms in crystalline solids. Established in 1948, the BCA serves as a forum for researchers, educators, and practitioners in the field of crystallography, supporting collaboration and communication among its members. The association organizes conferences, workshops, and training programs to facilitate sharing of knowledge and advancements in crystallographic techniques and applications.
The International Organization for Biological Crystallization (IOBC) is an organization dedicated to the dissemination and advancement of knowledge in the field of biological crystallization. This includes the study of proteins and other biological macromolecules in crystalline form, which is essential for understanding their structure and function.

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