The Romaka Siddhanta, also known as the Romaka system, is an ancient astronomical theory that originated in India. It is primarily associated with the work of the Indian mathematician and astronomer Aryabhata, who lived in the 5th century CE. The Romaka Siddhanta is one of the many systems described in ancient Indian astronomical texts and is considered a synthesis of Indian and Greek astronomical knowledge.
"Xiahou Yang Suanjing" (often translated as "Xiahou Yang's Mathematical Compendium") is a historical Chinese mathematical text attributed to Xiahou Yang, a mathematician from the Eastern Han Dynasty. The work is notable for its contributions to mathematics, particularly in areas such as arithmetic and geometry.
Endogeneity is a key concept in econometrics that refers to a situation where an explanatory variable is correlated with the error term in a regression model. This correlation can arise from several sources, including: 1. **Omitted Variable Bias**: This occurs when a model excludes a variable that affects both the independent and dependent variables, leading to a bias in the estimated coefficients.
Birla Industrial & Technological Museum (BITM) is a prominent science museum located in Kolkata, India. Established in 1956, the museum was initiated by the philanthropic Birla family and is managed by the National Council of Science Museums. The museum aims to promote science and technology, offering educational exhibits and hands-on activities for visitors of all ages. BITM features a variety of exhibits related to different fields such as physics, chemistry, biology, and engineering.
The Goudreau Museum of Mathematics in Art and Science is a specialized museum located in the United States that focuses on the intersections of mathematics, art, and science. Its mission typically involves showcasing the beauty and significance of mathematical concepts through artistic representations and scientific applications. The museum often features various exhibits that illustrate mathematical principles through visual art, sculptures, interactive displays, and educational programming.
Coxeter matroids are a specific type of matroid that arise from Coxeter groups. In mathematics, a matroid is a combinatorial structure that generalizes the concept of linear independence in vector spaces. Matroids can be defined using various properties, such as independence sets, bases, and circuits. A Coxeter matroid is associated with a finite Coxeter group.
Imaginary is an exhibition that typically explores themes related to imagination, creativity, and the boundaries between reality and fantasy. However, since "Imaginary" can refer to various art exhibitions or projects across different locations and time frames, the specifics can vary widely. For instance, such exhibitions may feature works from contemporary artists, showcasing a mix of visual art, installation, multimedia, and performance that engages with imagined worlds, abstraction, and the surreal.
As of my last knowledge update in October 2023, "Alexander Eichenwald" does not appear to refer to a widely recognized public figure, concept, or term.
Ancient mathematicians were individuals from various civilizations who contributed significantly to the development of mathematics in the ancient world. They laid the foundations for various mathematical concepts, theories, and practices that are still relevant today. Here are a few notable ancient mathematicians and their contributions: 1. **Euclid (c. 300 BCE)** - Often referred to as the "Father of Geometry," Euclid's most famous work, *Elements*, systematically organized and presented the knowledge of geometry of his time.
Musical tuning refers to the process of adjusting the pitch of musical instruments or voices so that they produce harmonious and pleasant sounds when played or sung together. Tuning ensures that the notes of a scale and their intervals are aligned according to specific standards or systems, allowing musicians to play in unison or harmonize effectively. There are different methods and systems of tuning, which can vary based on cultural context, historical practices, and the type of music being performed.
**Formalized music** refers to a compositional approach that emphasizes the use of formal systems and mathematical structures in the creation of music. This concept is closely associated with the work of composers like **Iannis Xenakis**, who applied principles from fields such as mathematics, architecture, and probability theory to his music.
In music, "multiplication" can refer to various concepts depending on the context. However, it is not a widely recognized term in music theory or practice like "addition" or "subtraction" would be in mathematical operations. Instead, it might be used informally or metaphorically in discussions about rhythmic patterns, harmonic structures, or compositional techniques. For example, in a rhythmic context, "multiplication" might describe creating complex rhythms by layering or combining simpler ones.
Eternal return, or eternal recurrence, is a philosophical concept that suggests that the universe and all events within it are perpetually recurring in a cyclical manner. This idea implies that time is infinite and that every event, action, and experience will repeat itself indefinitely. The concept has roots in various ancient philosophies and religions, including Hinduism and Buddhism, which emphasize cycles of rebirth and reincarnation.
Neo-Riemannian theory is a branch of music theory that focuses on the analysis of harmony and chord progressions through a system of relationships derived from the work of the 19th-century music theorist Hugo Riemann. It is particularly concerned with the transformations between chords and how these transformations can elucidate musical structure, especially in tonal music.
Serialism is a method of composition in music that uses a series of values to manipulate different musical elements. While it is most commonly associated with the twelve-tone technique developed by Austrian composer Arnold Schoenberg, which involves the systematic arrangement of all twelve pitches of the chromatic scale, serialism can apply to various musical parameters, such as rhythm, dynamics, timbre, and articulation.
Swing is a jazz performance style that originated in the 1930s and became incredibly popular during the big band era of the 1940s. It is characterized by a strong rhythmic drive, a lively and upbeat feel, and a focus on improvisation within a structured musical framework. Here are some key features of the swing style: 1. **Rhythmic Feel**: Swing music is known for its distinctive "swing" feel, which involves a rhythmic lilt or bounce.
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