The Christensen failure criterion is a criterion used to predict the failure of materials, particularly in the context of composite materials and other complex materials. It is named after the American engineer and materials scientist, R. M. Christensen. The criterion is based on the idea that failure in materials can be characterized by interactions between various stress states. Specifically, it is often expressed in terms of a failure surface that describes the conditions under which a material fails due to combined loading.
Chuck Hansen is primarily known as an American author and historian, particularly focused on topics related to military aviation and aerospace history. He has written several books and articles that delve into the history of specific aircraft, military programs, and the evolution of aviation technology. He is perhaps best known for his extensive research on the development and operational history of various U.S. military aircraft.
Christophe Salomon is a scientist known for his work in the field of physics, particularly in condensed matter physics and materials science. He has contributed to the understanding of various phenomena related to superconductivity, quantum materials, and other complex systems. His research often involves experimental and theoretical approaches to explore the properties of materials at the atomic and molecular levels.
CLCC1 (Chloride Channels, Voltage-Sensitive, 1) is a human gene that encodes a protein involved in chloride ion transport across cell membranes. This protein is part of a family of chloride channels and plays a critical role in various physiological processes, including fluid secretion, electrolyte balance, and cellular excitability. Mutations or dysregulation of CLCC1 have been linked to certain health conditions, particularly those affecting salt and fluid balance.
Pyrophosphate, also known as diphosphate, is a chemical compound with the formula \( \text{P}_2\text{O}_7^{4-} \) or \( \text{PPi} \). It consists of two phosphate groups linked by a high-energy bond. Pyrophosphate plays a crucial role in biochemistry, particularly in energy metabolism and the synthesis of nucleotides.
Ernest Esclangon (1876-1954) was a French astronomer and mathematician known for his work in the field of celestial mechanics and astrophysics. He made significant contributions to the study of lunar and planetary motion, and he is also recognized for his role in improving astronomical observations and methods during his time. One notable achievement of Esclangon is his involvement with the observation of stars and their movements, which helped refine existing models in astronomy.
The Merkle Signature Scheme (MSS) is a digital signature scheme that is based on Merkle trees, a type of cryptographic structure that enables efficient verification of data. It was proposed by Ralph Merkle in 1979, and it is notable for its ability to provide signatures that can be verified very quickly, even for larger sets of data. ### Key Features of the Merkle Signature Scheme 1.
Ernest Gellner (1925–1995) was a British philosopher, anthropologist, and social theorist, known for his work on nationalism, philosophy of history, and the relationship between culture and society. He was born in Prague and later became a prominent intellectual figure in the fields of sociology and anthropology.
Evgeny Moiseev is a well-known Russian mathematician, particularly recognized for his contributions to various fields within mathematics. He has worked on areas such as functional analysis, approximation theory, and mathematical physics. However, there could be other individuals with the same name in different contexts.
Classical compass winds refer to a traditional system of naming and describing the directions of the wind based on a compass rose, which divides the horizon into various cardinal and intercardinal (or ordinal) points. This system has been used for navigation, meteorology, and various maritime practices throughout history. The primary cardinal directions are: 1. **North (N)** - 0° or 360° 2. **East (E)** - 90° 3.
In algebra, specifically in the study of rings and modules, a **band** refers to a particular type of algebraic structure that can be characterized as a set equipped with a binary operation that behaves in a specific way. More formally, a **band** is a type of monoid where every element is idempotent.
Barbara Terhal is a physicist known for her work in quantum computing, specifically in the area of quantum error correction and quantum information theory. She has made significant contributions to understanding how quantum systems can be protected from errors, which is crucial for the development of reliable quantum computers. Terhal's research includes exploring the theoretical foundations of quantum error-correcting codes and their applications in practical quantum computing systems.
Gray code, also known as reflected binary code, is a binary numeral system where two successive values differ in only one bit. This property is particularly useful in various applications, such as error correction, digital communication, and position encoding in robotics and rotary encoders. ### Key Features of Gray Code: 1. **Single Bit Change**: As mentioned, in Gray code, moving from one numeric value to the next changes only one bit. This minimizes the chance of errors during transitions.
Sign extension is a process used in computer architecture and programming to extend the bit width of a binary number while preserving its sign and value. This is particularly important when converting a smaller signed integer type to a larger signed integer type. ### Overview: - **Signed Numbers Representation**: Signed integers are typically represented in binary using two's complement notation.
The Coxeter complex is a mathematical concept that arises in the field of geometry and combinatorial group theory. It is closely associated with Coxeter groups, which are groups generated by reflections across hyperplanes in a Euclidean space. The Coxeter complex provides a way to visualize the geometric structure related to these groups.
Bayesian econometrics is a statistical approach to econometrics that applies Bayesian methods to the analysis of economic data. The Bayesian framework is based on Bayes' theorem, which provides a way to update probabilities as new evidence is acquired. This contrasts with traditional frequentist approaches that do not incorporate prior beliefs. Here are some key features of Bayesian econometrics: 1. **Prior Information**: Bayesian econometrics allows the incorporation of prior beliefs or information about parameters in a model through the use of prior distributions.
The De Finetti diagram is a graphical representation used in probability theory and statistics, particularly in the context of evaluating mixtures of probability distributions. It is named after the Italian statistician Bruno de Finetti, who made significant contributions to the field of probability. The De Finetti diagram typically represents a mixture of two or more distributions on a simplex—a geometric shape corresponding to the probabilities assigned to different outcomes.
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





