The Denjoy–Koksma inequality is a key result in the field of numerical integration and approximation theory, particularly in the context of uniform distribution theory. It provides a bound on the discrepancy of a sequence of points used in numerical integration and describes how well a given numerical method approximates the integral of a function.
Carathéodory's existence theorem is a fundamental result in the theory of ordinary differential equations (ODEs). It provides conditions under which a first-order ordinary differential equation has at least one solution. The theorem is particularly important for equations that may not have Lipschitz continuity, allowing for broader applications.
A plunger pump is a type of positive displacement pump that uses a reciprocating plunger to move fluids. It typically consists of a cylinder and a plunger that moves back and forth within the cylinder to create pressure and flow. When the plunger moves in one direction, it creates a vacuum that allows fluid to enter the cylinder through an inlet valve.
Bloch's theorem, which is often discussed in the context of complex analysis and the theory of analytic functions, states that if \( f \) is a holomorphic function (analytic function) defined on a simply connected open subset \( D \subset \mathbb{C} \), and if \( f \) is not constant, then for any point \( z_0 \in D \), there exists a neighborhood \( U \) of \( z_0 \) such that the image \(
The Skolem problem is a decision problem in mathematical logic concerning the satisfiability of certain types of logical formulas, particularly those expressed in first-order logic. Named after the mathematician Thoralf Skolem, the problem deals specifically with the question of whether a given first-order formula (often in prenex normal form, which has all its quantifiers at the front) has a model (i.e., an interpretation under which the formula is true).
Anouar Benmalek is a Moroccan-French author and poet known for his literary works that often explore themes of identity, culture, and the complexities of modern life. His writing has been recognized for its poetic qualities and depth, addressing both personal and societal issues. Benmalek has contributed to various literary forms, including novels, essays, and poetry, and has been involved in literary and cultural discussions, particularly concerning the experiences of people from North Africa and the Arab world in contemporary society.
Archytas can refer to different things, but the most well-known reference is to Archytas of Tarentum, an ancient Greek philosopher, mathematician, and strategist who lived in the 4th century BCE. He is often associated with the Pythagorean school of thought and made significant contributions to mathematics and philosophy. Archytas is particularly noted for his work in number theory, musical harmony, and the concept of the mechanics of motion.
Apollodorus Logisticus, also known simply as Apollodorus, was a figure from ancient Greece often mentioned in relation to the field of mathematics, particularly in the context of geometry. He is sometimes referred to as Apollonius of Perga, although he is not the same as Apollonius, who is known for his work on conic sections.
Meton of Athens was a notable ancient Greek architect and astronomer who lived around the 5th century BCE. He is best known for his contributions to the development of the Metonic cycle, a 19-year cycle that aligns the lunar calendar with the solar year. This cycle is significant because it consists of 19 years, which includes 235 lunar months, fitting very closely with the 19 solar years, thus allowing for a systematic way to integrate lunar and solar calendars.
Marjan Dema is a prominent figure known for her contributions to various fields, including literature, storytelling, and possibly cultural commentary. However, specific details regarding her works or background may not be widely available or recognized in mainstream media.
The "Aryabhatiya" is a seminal mathematical and astronomical treatise composed by the ancient Indian mathematician and astronomer Aryabhata in the 5th century CE. It is one of the earliest known works in the field of mathematics and astronomy, and it has significantly influenced both Indian and Islamic astronomy and mathematics.
Gan Wee Teck is a name that may refer to an individual, but without more context, it's challenging to provide specific information about them.
Karanapaddhati is a significant text in the field of traditional Indian mathematics, particularly in the area of astronomy and astrology. It is attributed to the ancient Indian mathematician Bhaskara II, also known as Bhaskara the Great, who lived in the 12th century. The text serves as a compendium of mathematical techniques and methods used for calculations relating to celestial bodies and their movements.
"Kriyakramakari" generally refers to a person or entity that is involved in the process of action-oriented tasks or activities. The term can be broken down into "Kriya," which means action or activity, and "Kramakari," which implies organization or systematic execution. In various contexts, it could refer to individuals or organizations that specifically focus on operational processes, management of activities, or project implementation.
The term "Mathematical Sciences Foundation" can refer to different organizations or initiatives aimed at promoting the mathematical sciences, education, research, or community outreach. Generally, such foundations focus on advancing mathematical knowledge and its applications, supporting research, and enhancing the understanding of mathematics in society.
Andrew C. Berry is an evolutionary biologist and a professor known for his work in the fields of ecology, evolution, and biodiversity. He has contributed to various areas of research, including the study of genetics and the evolutionary dynamics of populations. Berry is also recognized for his education and outreach efforts in the field of science. If you were referring to a specific aspect of Andrew C.
As of my last update in October 2023, there is no widely recognized entity or concept known as "Bertha Hart." It could refer to a person, a fictional character, a specific project, or something else that has not gained significant public attention. If you can provide more context or specify the area you are interested in (e.g.
Brian Swimme is an American mathematician and cosmologist known for his work in popularizing scientific concepts related to cosmology, integral science, and the interconnectedness of the universe. He is a professor of cosmology at the California Institute of Integral Studies (CIIS) and has authored several books aimed at bridging science and spirituality, such as "The Universe is a Green Dragon" and "The Hidden Heart of the Cosmos.
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





