Rudolf Clausius (1822–1888) was a German physicist and mathematician best known for his contributions to the field of thermodynamics. He is particularly recognized for formulating the second law of thermodynamics and introducing the concept of entropy, which quantifies the amount of disorder or randomness in a system. Clausius's work laid the foundation for understanding the fundamental principles governing heat transfer and energy conversion.
As of my last knowledge update in October 2021, there isn't a widely recognized company named Rosso Corporation in mainstream international business or technology sectors. However, the name could refer to a smaller or niche company, or it may have emerged after my last update.
In two-dimensional geometry, rotations and reflections are two types of transformations that can change the position or orientation of a figure without altering its shape or size. ### Rotations A rotation involves turning a figure about a fixed point called the center of rotation. The rotation is described by an angle (in degrees or radians) and a direction (usually clockwise or counterclockwise): 1. **Center of Rotation**: The fixed point about which the figure is rotated.
Rubik's Domino is a puzzle toy that combines concepts from the classic Rubik's Cube with a domino format. While specific designs and variations may exist, the general idea involves aligning blocks or tiles in a 2D array that can be manipulated similarly to the twisting and turning of a Rubik's Cube. In Rubik's Domino, players typically aim to achieve a particular arrangement of colors or patterns, similar to solving a Rubik's Cube.
The history of Russian mathematics spans several centuries, with many notable mathematicians contributing to the field. Here’s a brief overview of key Russian mathematicians organized by century: ### 18th Century - **Leonhard Euler (1707-1783)**: Although Swiss by nationality, he worked extensively in Russia and made significant contributions to mathematics while in St. Petersburg.
Ruzena Bajcsy is a prominent figure in the fields of robotics, artificial intelligence, and computer science. She is known for her contributions to robotics, particularly in the areas of sensor-based robotics and machine learning. Throughout her career, she has held various academic and research positions, including serving as a professor and director of research at various institutions.
As of my last knowledge update in October 2023, the Saint Louis Billikens men's basketball team has various statistical leaders across different categories. These typically include leaders in points, rebounds, assists, steals, blocks, and other significant stats. For the most accurate and current statistics, it's best to refer to the official Saint Louis Billikens athletics website or check NCAA statistics. They often provide detailed information on team records and individual achievements, including all-time leaders and current season stats.
The San Francisco Dons men's basketball team has a rich history, and its statistical leaders encompass various categories such as points, rebounds, assists, steals, and blocks. While specific numbers may vary over time as new players and seasons contribute to these statistics, some notable statistical leaders in the program's history include: ### Points Leaders - Players like Bill Russell and Klay Thompson are often among the top scorers in the history of the program.
Scaled Composites Proteus is a unique aircraft designed for high-altitude, long-endurance missions. Developed by Scaled Composites, a company known for its innovative aerospace designs, Proteus features a distinct configuration with a long wingspan and a fuselage that allows it to operate at altitudes of around 60,000 feet (18,300 meters).
Logistic regression is a statistical method used for binary classification problems, where the goal is to model the relationship between one or more independent variables (features) and a binary dependent variable (outcome) that can take on two possible values, typically represented as 0 and 1. Unlike ordinary linear regression, which predicts continuous outcomes, logistic regression predicts the probability that a given input falls into one of the two categories.
Reinsurance companies provide insurance to insurers. Essentially, they help insurance companies manage risk by taking on some of the liabilities associated with the policies they issue. This process allows primary insurers (the companies that sell insurance directly to consumers) to protect themselves from large losses that can occur from catastrophic events or a high volume of claims.
Existential risk refers to a scenario or event that has the potential to cause human extinction or irreversible destruction of human civilization. These risks can arise from a variety of sources, including but not limited to: 1. **Natural Disasters**: Catastrophic events such as asteroid impacts, supervolcanic eruptions, or extreme climate changes.
The certainty effect is a concept from behavioral economics and decision theory, particularly associated with Prospect Theory, formulated by Daniel Kahneman and Amos Tversky. It refers to the tendency for individuals to overvalue outcomes that are certain compared to those that are merely probable, even when the expected values of the uncertain outcomes might be higher.
The "economics of security" refers to the study and analysis of how economic principles and theories apply to issues related to security, including crime, defense, terrorism, and cyber threats. It encompasses a range of topics that investigate the costs and benefits associated with various security measures, resource allocation, and their impact on society.
Tax uncertainty refers to the lack of clarity or predictability regarding tax laws, regulations, or interpretations that can affect individuals and businesses in their financial decision-making. This uncertainty can arise from several factors, including: 1. **Changes in Tax Legislation**: Frequent changes in tax policies, rates, or rules can create uncertainty, as taxpayers may find it challenging to plan their finances or investments.
"Scissel" can refer to a few different things depending on the context. The term is often associated with the byproduct of metalworking, particularly in the context of milling, drilling, or machining processes. Specifically, scissel refers to small metal shavings or chips that are produced as a result of cutting or shaping metal materials. In some cases, "Scissel" might also be encountered in various regional contexts or could be a brand name or specific product.
The School Mathematics Project (SMP) is an educational initiative that originated in the United Kingdom in the 1960s. Its primary goal was to reform and improve the teaching of mathematics in schools, particularly at the secondary level. The project focused on developing a new curriculum that emphasized understanding mathematical concepts and problem-solving skills, rather than rote memorization.
The Schur polynomial is a specific type of symmetric polynomial that plays a significant role in algebraic combinatorics, representation theory, and geometry. It is associated with a given partition of integers and is used in the study of symmetric functions.
Science and Technology of Advanced Materials is an interdisciplinary field that focuses on the development, characterization, and application of new materials that exhibit enhanced properties and performance compared to traditional materials. This field combines principles from physics, chemistry, engineering, and materials science to innovate and improve materials for various applications across industries.

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