Tarski's axioms refer to a set of formal axioms proposed by the Polish logician and mathematician Alfred Tarski, particularly in his work on the semantics of formal languages and the theory of truth. Tarski is best known for his semantic definition of truth, which he formalized in the early 20th century.
In geometry, a transversal is a line that intersects two or more other lines at distinct points. When a transversal crosses two lines, it creates several pairs of angles that have specific relationships. For instance: 1. **Corresponding Angles**: Angles in the same relative position at each intersection. If the lines are parallel, corresponding angles are equal. 2. **Alternate Interior Angles**: Angles that are on opposite sides of the transversal and inside the two intersected lines.
An adiabatic process is a thermodynamic process in which no heat is exchanged between a system and its surroundings. This means that any change in the internal energy of the system occurs solely due to work done on or by the system, rather than heat transfer. Key characteristics of adiabatic processes include: 1. **No Heat Transfer:** As mentioned, there is no energy transfer as heat (\(Q = 0\)).
Pyotr Ulyanov, also known as Pyotr Ilyich Ulyanov, was a Russian politician and the father of Vladimir Lenin, the leader of the Bolshevik Revolution. He was born in 1834 and served as a teacher and a local school inspector. Pyotr Ulyanov was involved in the progressive movement of his time and held liberal views. His family background and intellectual environment significantly influenced Lenin's early political development.
"From Zero to Infinity" can refer to various concepts, works, or products depending on the context. However, in general terms, it often denotes the journey of exponential growth, development, or the exploration of vast possibilities, such as in mathematics, philosophy, or personal development. 1. **Mathematics:** In a mathematical sense, it could refer to concepts related to limits, series, or functions that extend from zero (the beginning) to infinity (the concept of boundlessness).
The **CRC Concise Encyclopedia of Mathematics** is a comprehensive reference work that provides clear and concise explanations of a wide range of mathematical concepts, theories, and terms. Edited by Christopher Thomas A. Brown, the encyclopedia covers topics from various branches of mathematics, including algebra, analysis, geometry, topology, and applied mathematics.
The "Encyclopedia of Mathematics" is a comprehensive reference work edited by James Tanton, who is known for his contributions to mathematics education and outreach. This encyclopedia aims to cover a wide range of mathematical topics, concepts, and theories, making it accessible to students, educators, and anyone interested in mathematics. James Tanton, a mathematician and educator, has been involved in various initiatives to promote mathematics and enhance its teaching and learning.
The "Encyclopedia of Statistical Sciences" is a comprehensive reference work that covers a wide range of topics in the field of statistics. It is designed to provide detailed information about statistical theories, methodologies, applications, and important concepts. The encyclopedia is a valuable resource for researchers, practitioners, and students in statistics, as it consolidates expertise from various contributors in the field.
The Suzuki graph is a specific type of graph in the field of graph theory. It is named after mathematician Michio Suzuki, who introduced it in relation to group theory and finite groups. The Suzuki graph is characterized as a strongly regular graph, which means that it has a particular structure based on its vertices and edges.
The "Encyclopedia of the History of Arabic Science" is a comprehensive reference work that explores the contributions of Arabic-speaking scholars to the development of science throughout history. This encyclopedia typically covers a wide range of scientific fields, including mathematics, astronomy, medicine, philosophy, and more, highlighting the significant advancements that occurred during the Islamic Golden Age (roughly from the 8th to the 14th centuries).
The "Encyclopedic Dictionary of Mathematics" is a comprehensive reference work that provides definitions and explanations of a wide range of mathematical concepts, terminology, and notations. It is designed to serve as a resource for students, educators, and professionals in the field of mathematics. The dictionary includes entries on various topics such as algebra, calculus, geometry, topology, number theory, and statistics, among others. It typically features detailed explanations, historical context, and relevant examples to aid in understanding complex mathematical ideas.
The timeline of hydrogen technologies spans several centuries, reflecting the evolution of hydrogen production, storage, and applications. Here's an overview highlighting key milestones: ### 18th Century - **1766**: Henry Cavendish discovers hydrogen, calling it "inflammable air." He identifies hydrogen as a distinct substance. ### 19th Century - **1839**: Sir William Grove develops the first fuel cell, the "Grove cell," which converts hydrogen and oxygen into electricity.
IEEE Transactions on Magnetics is a peer-reviewed scientific journal published by the Institute of Electrical and Electronics Engineers (IEEE). It focuses on research and applications related to magnetic materials, devices, and systems.
The timeline of solar cells reflects the evolution of solar technology from the discovery of the photovoltaic effect to the modern advancements in solar energy systems. Here is a concise timeline of significant milestones in the development of solar cells: ### 19th Century - **1839**: French physicist Alexandre Edmond Becquerel discovers the photovoltaic effect, where certain materials produce small amounts of electric current when exposed to sunlight.
Here's a brief timeline of key developments in sustainable energy research from 2020 to the present: ### 2020 - **COVID-19 Impact on Energy**: The pandemic caused a significant drop in energy demand, influencing research on energy systems' resilience and the integration of renewable sources. - **Renewable Energy Growth**: Reports indicated that renewable energy sources surpassed fossil fuels in new power installations globally, with significant advancements in solar and wind technologies.
Alvin M. Weinberg (1915–2006) was an influential American nuclear physicist and a key figure in the development of nuclear energy in the United States. He is best known for his role as the director of the Oak Ridge National Laboratory (ORNL) from 1955 to 1973, where he contributed to various aspects of nuclear research and technology, including the development of nuclear reactors.
Darleane C. Hoffman is an American nuclear chemist renowned for her significant contributions to the fields of nuclear chemistry and radiochemistry. She is best known for her work on the discovery of heavy elements, particularly her role in the identification of elements such as seaborgium and darmstadtium. Hoffman's research has advanced the understanding of superheavy elements and their properties. She has been a prominent figure in scientific research and education, holding positions in various institutions, including the Lawrence Berkeley National Laboratory.
George Cowan could refer to various individuals, but one notable person by that name was a prominent scientist and expert in the field of chemistry and nuclear energy. He was particularly well-known for his work related to the Manhattan Project during World War II and later became a respected figure in the field of nuclear science.
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 2. You can publish local OurBigBook lightweight markup files to either OurBigBook.com or as a static website.Figure 3. Visual Studio Code extension installation.Figure 5. . 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. - 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