In ring theory, the approximation property refers to a specific condition that a topological algebra or a ring might satisfy, particularly in the context of Banach algebras or algebras of continuous functions.
Giovanni Cavalli is known primarily as an Italian composer of the early Baroque period, born in 1602. He is noted for his contributions to opera and sacred music, with a career marked by his work in Venice. Cavalli was a student of Claudio Monteverdi and later became one of the most prominent opera composers of his time. His operas, such as "Giasone" and "La Calisto," are considered important works in the development of the genre.
Giovanni Domenico Cassini (1625–1712) was an Italian mathematician, engineer, astronomer, and astrologer known for his extensive work in the fields of astronomy and mathematics. He is perhaps best known for his contributions to the study of Saturn, where he discovered several of its moons and the division in its rings, now known as the Cassini Division.
Dave Green is a well-known astrophysicist, particularly recognized for his work in the field of astrophysical research and education. He has contributed to various areas of astrophysics, including studies related to stellar evolution, cosmic phenomena, and more. Green has also been involved in public outreach, helping to communicate complex scientific concepts to the general public and fostering interest in space science.
As opposed to:
- 2020 cryptocurrencies, while governments still don't accept them for taxes, as well as other assets that are also not accepted for taxes (i.e. most assets)
- physical currencies that have intrinsic material value, e.g. gold coins
David Awschalom is a prominent physicist known for his work in the field of quantum information science and nanotechnology. He is particularly recognized for his research on spin-based quantum computing, quantum optics, and the development of materials for quantum information processing. Awschalom has held academic positions at various institutions, including the University of California, Santa Barbara, and the University of Chicago. His contributions have significantly advanced our understanding of quantum systems and their potential applications in emerging technologies.
David Lyons is a prominent philosopher known for his work in the fields of ethics, political philosophy, and the philosophy of law. He has contributed significantly to discussions on topics such as moral responsibility, the nature of rights, and the implications of legal systems on moral and ethical theories. Lyons is particularly recognized for his analysis of the relationship between law and morality, examining how legal norms relate to moral principles. His writings often explore the interplay between individual rights and the structures of legal authority.
Seto Kaiba is a fictional character from the popular anime and manga franchise **Yu-Gi-Oh!**, created by Kazuki Takahashi. He is one of the main antagonists of the series and is known for being a skilled duelist with a strong rivalry with the main protagonist, Yugi Muto. Kaiba is the CEO of Kaiba Corporation, a company that specializes in technology related to the trading card game "Duel Monsters," which is central to the series.
Digital Signal Processing (DSP) is a field of study and a set of techniques used to manipulate, analyze, and transform signals that have been converted into a digital format. Signals can be any physical quantity that carries information, such as sound, images, and sensor data. When these signals are processed in their digital form, computational methods can achieve significant enhancements and modifications that are often not possible or practical with analog processing.
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





