Arnold's cat map is a mathematical construct introduced by the Russian mathematician Vladimir Arnold in the context of dynamical systems and chaos theory. It serves as an example of a chaotic map that illustrates how a simple system can exhibit complex behavior, specifically through the process of stretching and folding. The cat map is defined on a 2-dimensional torus, which can be thought of as a square where opposite edges are identified.
Tesseract is an open-source optical character recognition (OCR) engine that is highly regarded for its ability to convert various types of documents—such as scanned images and PDFs—into machine-readable text. Originally developed by Hewlett-Packard and later maintained by Google, Tesseract supports a wide range of languages and can recognize text in multiple formats.
The Krivine–Stengle Positivstellensatz, often referred to in the context of real algebraic geometry, is a fundamental result that provides a connection between polynomial inequalities and the positivity of polynomials on semi-algebraic sets.
Present value (PV) is a financial concept that refers to the current worth of a sum of money or stream of cash flows that will be received or paid in the future, discounted back to the present using a specific interest rate. The idea behind present value is that a dollar today is worth more than a dollar in the future due to the potential earning capacity of money, which is often referred to as the time value of money.
Andrei Roiter is a Russian-born artist known for his work in painting, drawing, and conceptual art. He is recognized for his unique blend of styles and techniques, often incorporating elements of surrealism, abstraction, and symbolic imagery. Roiter's art typically explores themes such as identity, memory, and the human experience. He has exhibited his work in various galleries and art institutions worldwide.
Artemas Martin refers to an American artist known for his contributions to the field of painting, particularly in the 19th century. He was born in 1822 and passed away in 1899. Martin is recognized for his landscape paintings, and he played a part in the artistic movements of his time.
"Perfect Core" could refer to several different concepts depending on the context in which it is used. Here are a few possibilities: 1. **Fitness and Exercise**: In the context of fitness, "perfect core" likely refers to achieving a strong and stable core, which includes the muscles in your abdomen, lower back, and pelvis. A strong core is essential for overall physical fitness and can improve posture, balance, and stability.
"Ina Kersten" does not appear to correspond to any widely recognized term, concept, or notable individual based on the information available up to October 2023. It's possible that it could be a person's name, a character in a specific context, or a reference that has come to prominence after my last update.
Joseph Wedderburn is a notable figure in the field of mathematics, particularly known for his contributions to algebra and commutative algebra. He is best recognized for his work on the Wedderburn-Artin theorem, which characterizes semisimple algebras over a field. His contributions laid foundational aspects of modern algebra, including insights into the structure of rings and modules.
Peter Rosenthal could refer to various individuals, but one prominent figure is a professor and mathematician known for his work in the field of mathematics, particularly in topology and combinatorics. He may also be recognized for his contributions to research and education within mathematics.
As of my last knowledge update in October 2023, "Nissan Deliatitz" does not appear to correspond to any well-known Nissan vehicle, model, or concept. It is possible that it might be a typographical error, a lesser-known term, or a very recent development that has emerged after my last update.
Reinhold Baer (1913-2005) was a German-American mathematician known for his contributions to algebra and topology. He made significant advancements in the fields of group theory and ring theory, and he is often recognized for his work in homological algebra and the theory of algebraic structures. Baer introduced concepts such as Baer subgroups in group theory and contributed to the development of concepts in homological algebra, including Baer invariants and Baer modules.
Pierre Samuel can refer to a few different things, depending on the context. Here are a couple of possibilities: 1. **Pierre Samuel du Pont de Nemours (1739–1817)**: A notable figure in economics and a French economist, he is often associated with the Physiocratic school of thought, which emphasized the importance of agriculture in the economy. He was also the father of the du Pont family, which became well-known in the United States for their contributions to industry and business.
Tadashi Nakayama is a Japanese mathematician known for his contributions to various areas of mathematics, including the study of mathematical analysis and operator theory. His work has been influential in understanding the properties of different mathematical objects and has been cited in research across these fields. Additionally, Nakayama has published numerous papers and has been involved in educational efforts in mathematics.
As of my last knowledge update in October 2023, there isn't significant public information available regarding an individual by the name of Suresh Venapally that is widely recognized in media, academia, or popular culture. It's possible that he is a private individual, a professional in a specific field, or has emerged in prominence after my last update.
As of my last knowledge update in October 2021, Kenneth Le Couteur does not appear to be a widely recognized figure in popular culture, science, or notable news. It's possible that he could be a private individual, an emerging figure, or relevant in a specific field that wasn't covered widely up until then.
The Lillian McDermott Medal is an award presented by the University of Florida to recognize outstanding teaching in the field of medicine. Named in honor of Dr. Lillian McDermott, the medal celebrates educators who demonstrate exceptional dedication, innovation, and impact in medical education. It is intended to honor those who inspire and mentor future healthcare professionals, fostering a culture of excellence in teaching. The award highlights the importance of effective education in shaping the skills and values of medical practitioners.

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