The Balaban 11-cage is a type of graph that is part of a family of structures known as cage graphs. Cages are defined as regular graphs that have the smallest possible number of edges for a given number of vertices and girth (the length of the shortest cycle in the graph). Specifically, the Balaban 11-cage is an (11, 3)-cage, meaning it has 11 vertices and a girth of 3.
The Pappus graph is a specific type of cubic graph that has a number of interesting properties in the field of graph theory. It is named after the ancient Greek mathematician Pappus of Alexandria. Here are some key characteristics of the Pappus graph: - **Vertices and Edges**: The Pappus graph has 18 vertices and 27 edges. - **Cubic Graph**: It is a cubic graph, meaning that each vertex has a degree of 3.
"Trofeu" is a Portuguese word that translates to "trophy" in English. It typically refers to an award or recognition given to celebrate achievement, often in the context of sports or competitions. In a broader sense, "trofeu" can also signify any prize or accolade awarded for excellence in various fields.
"Discoveries" by Jaroslav Květoň is a work that delves into philosophical themes and potentially explores concepts related to discovery itself, whether in a scientific, personal, or metaphorical sense. However, specific details about the book, such as its main themes, arguments, or reception, may not be widely documented in mainstream sources as of my last update in October 2023.
Malcolm C. Smith is not a widely recognized figure or entity in popular culture, literature, or current events as of my last knowledge update in October 2023. If he is a specific person, it is possible that he may be a private individual, a professional in a specialized field, or someone who has gained prominence after my last update. If you provide more context or specify the area of interest related to Malcolm C.
Modus tollens is a valid form of logical reasoning that can be summarized as follows: If we have two statements: 1. If \( P \) then \( Q \) (this is a conditional statement). 2. Not \( Q \) (the negation of the second part of the conditional). From these two statements, we can conclude: 3. Therefore, not \( P \) (the negation of the first part of the conditional).
Irving Lefkowitz is a prominent figure in the field of biochemistry and molecular biology, known for his research on protein degradation and the regulation of cellular processes. He has made significant contributions to the understanding of how cells regulate protein levels and respond to various signals, which has implications for understanding diseases such as cancer and neurodegenerative disorders.
A thermal attack refers to a method of exploiting a computer system or device by manipulating the temperature of its components, often to induce failure or extract sensitive information. This type of attack can take advantage of the way electronic devices handle heat, which can affect their behavior. Here are a few aspects of thermal attacks: 1. **Heat Generation**: Electronic components generate heat during normal operations. Attackers can intentionally increase the heat beyond normal operating conditions to cause a malfunction or failure.
Naira Hovakimyan is a prominent figure in the field of engineering, particularly known for her work in control systems and robotics. She is a professor at the University of Illinois at Urbana-Champaign and has made significant contributions to areas such as control theory, optimization, and autonomous systems. Hovakimyan has published numerous research papers and has been recognized for her expertise in these fields.
KASCADE, which stands for "Karlsruher Institut für Technologie (KIT) KASCADE Experiment," is a large research project aimed at studying cosmic rays. Located in Karlsruhe, Germany, the experiment was designed to investigate the properties and composition of high-energy cosmic rays, which are subatomic particles from outer space that strike the Earth's atmosphere. The KASCADE experiment operated from 1996 until around 2013 and employed an extensive array of detectors to measure cosmic rays.
The number 257 is a three-digit integer that follows 256 and precedes 258. Here are a few mathematical properties of the number 257: 1. **Prime Number**: 257 is a prime number, meaning it is only divisible by 1 and itself. 2. **Binary Representation**: In binary, 257 is represented as 100000001. 3. **Hexadecimal Representation**: In hexadecimal, it is represented as 101.
A Latin square is a mathematical concept used in combinatorial design and statistics. It is defined as an \( n \times n \) array filled with \( n \) different symbols (often the integers \( 1 \) through \( n \)), such that each symbol appears exactly once in each row and exactly once in each column.
"Cosmos" is a popular science book written by Carl Sagan, first published in 1980. It serves as a companion to Sagan's television series of the same name, which aired in the same year. The book explores a wide range of topics related to the universe, including the evolution of life, the development of human civilization, and the scientific method.
"15 Big Ones" is the title of the 1976 album by the American rock band The Beach Boys. It features a mix of original songs and covers, including a notable rendition of Johnny B. Goode. The album is often recognized for its nostalgic feel and reflects the band's ability to blend their classic surf rock sound with contemporary influences of the time. It is also significant as it marked a return to the studio for the band after a period of personal and professional challenges.
The Parallelogram Law is a geometric principle that relates to the lengths of the sides of a parallelogram. It states that for any two vectors \(\mathbf{u}\) and \(\mathbf{v}\) in a vector space, the sum of the squares of the lengths of the two vectors is equal to the sum of the squares of the lengths of the diagonals of the parallelogram formed by these two vectors.
"Discoveries" by Jeremy Martin Kubica is a work that explores themes of knowledge, innovation, and the pursuit of understanding. While specific details about the content may vary, Kubica's writings often delve into scientific, philosophical, or cultural insights, aiming to inspire readers to appreciate the process of discovery in various fields.
The Angola Current, also known as the Benguela Current, is a cold ocean current that flows northward along the southwestern coast of Africa, particularly along Angola. It is part of the larger South Atlantic Ocean current system and is characterized by its cool water temperatures, which influence the marine ecosystem in the region. The current originates from the subantarctic region and flows northward along the coast of Angola, where it interacts with warmer waters from the Atlantic Ocean.
"Discoveries" is a work by George Phillips Bond, an American astronomer best known for his contributions to the field of astronomy in the 19th century. In his role at the Harvard College Observatory, Bond made significant advancements in the field, particularly in the observation of celestial bodies and the development of astronomical instruments.
Vladimir Zakharov is a prominent Russian mathematician known for his work in the fields of applied mathematics, particularly in the area of nonlinear wave processes, fluid dynamics, and mathematical physics. He is best known for contributing to the development of theories related to solitons and integrable systems, which are important in the study of wave propagation in various physical contexts.

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