A Lie algebroid is a mathematical structure that generalizes the concepts of Lie algebras and tangent bundles in differential geometry. It arises in various fields such as Poisson geometry, the study of foliations, and in the theory of dynamical systems. Lie algebroids provide a way to describe the infinitesimal symmetry of a manifold in a coherent algebraic framework.
Lu Ji (also known by his courtesy name Shiheng) was a notable figure from the late Eastern Han dynasty in China, renowned for his accomplishments as a poet and essayist. He is best known for his work "Wenjing" (文景), which emphasizes the importance of literature and the art of writing. His writings contributed significantly to Chinese literary tradition, showcasing his mastery of language and his ability to weave intricate thoughts into cohesive narratives.
Stand-up comedy is a comedic performance style where a comedian delivers a series of humorous anecdotes, observations, and one-liners in front of a live audience. The comedian typically stands on stage, hence the name "stand-up," and often engages directly with the audience to enhance the performance. Stand-up routines can cover a wide range of topics, including personal experiences, social issues, cultural observations, and everyday life.
Congressional Debate is a form of competitive debate where participants simulate the legislative process of the United States Congress. It involves students representing members of Congress, proposing and debating legislation, and discussing various resolutions. This type of debate is typically held in a formal setting, such as a conference or tournament, and follows rules similar to those of actual congressional procedures. Key elements of Congressional Debate include: 1. **Legislation**: Competitors are provided with bills and resolutions, which they must debate.
Satire is a genre of literature, film, and other forms of art that uses humor, irony, exaggeration, or ridicule to criticize or mock societal norms, institutions, individuals, or moral values. The primary aim of satire is often to provoke thought, entertain, or persuade audiences by highlighting flaws and absurdities in certain subjects.
Pop culture fiction refers to a genre of writing that integrates elements from popular culture—such as movies, television shows, music, fashion, social media, and internet trends—into its narratives. This genre often reflects and critiques contemporary societal norms and trends, capturing the spirit of the times. Pop culture fiction can take various forms, including novels, short stories, graphic novels, and even fan fiction.
The Three Prisoners problem is a classic problem in probability and decision theory that illustrates interesting aspects of conditional probability and the paradoxes that can arise in such situations. Here's a typical formulation of the problem: Three prisoners, A, B, and C, are each assigned a number (1, 2, or 3) by a warden, but they do not know their own numbers.
"Polish statisticians" can refer to several things, depending on the context. Generally, it could denote: 1. **Statisticians from Poland**: Professionals who specialize in the field of statistics and are based in Poland. These may include researchers, academics, and practitioners who apply statistical methods to various fields such as economics, social sciences, health, and more.
Kazimierz Bartel was a prominent Polish mathematician, educator, and politician, born on March 27, 1882, and who passed away on October 27, 1941. He is known for his contributions to the field of mathematics, especially in mathematical logic and the foundations of mathematics. Bartel was also involved in Polish academic life, serving as a professor and having a significant influence on the development of mathematical studies in Poland.
Michał Falkener does not appear to be a widely recognized public figure or term based on the information available up until October 2023. It is possible that he could be a private individual, a professional in a specific field, or a character in a lesser-known work.
Tadeusz Iwaniec is a prominent Polish mathematician known for his contributions to analysis, partial differential equations, and geometric measure theory. He has made significant advancements in areas such as harmonic analysis and the theory of quasiconformal mappings. Iwaniec's work has been influential in both pure and applied mathematics, particularly in understanding the regularity of solutions to variational problems and in the study of geometric structures. He has also authored and co-authored several important mathematical texts and research papers.
Matila Ghyka (1881–1965) was a Romanian diplomat, mathematician, philosopher, and writer known for his work in multiple fields, including art, mathematics, and philosophy. He is particularly recognized for his contributions to the study of proportion and aesthetic principles, often drawing on mathematical concepts to explore ideas in beauty and harmony.
Maria Korovina is not a widely recognized figure, concept, or term as of my last knowledge update in October 2023. It’s possible that it refers to a person, place, or organization that is less known, or it could be a name that has come to prominence after my last update.
Romanian statisticians are professionals from Romania who specialize in the field of statistics, which involves the collection, analysis, interpretation, presentation, and organization of data. These individuals may work in various sectors, including government, academia, private industry, healthcare, and research organizations. The work of Romanian statisticians can encompass a wide range of activities, such as conducting surveys, analyzing demographic data, performing quality control, and utilizing statistical software to inform decision-making.
Romania has a notable history of contributions to mathematics, and several Romanian women have made significant impacts in this field. Here are a few prominent Romanian women mathematicians: 1. **Martha M. J. A. C. G. Bălănescu** - Known for her work in algebra, she has made contributions to various mathematical areas while also promoting mathematics education. 2. **Simona C.
Ioan Dzițac is a Romanian mathematician known for his work in various fields of mathematics, including functional analysis, approximation theory, and numerical analysis. He has authored and co-authored several papers and articles, contributing to both theoretical and applied mathematics.
Octav Mayer is not a widely recognized name in mainstream media, literature, or popular culture as of my last knowledge update in October 2023. It's possible that Octav Mayer could refer to a lesser-known individual, a fictional character, or a specific term in a niche context that has emerged more recently.
Russian geodesists are specialists in the field of geodesy in Russia, which is the science of measuring and understanding Earth's geometric shape, orientation in space, and gravity field. This discipline involves precise measurements of large areas of the Earth's surface, creating and maintaining coordinate systems, and conducting tasks related to mapping, surveying, and navigation.
Alexei Gvishiani is a prominent Russian scientist and mathematician known for his contributions to the fields of geophysics and Earth sciences. He is particularly recognized for his work related to the Earth’s interior and its physical properties. Gvishiani has published numerous scientific papers and has contributed to various research projects, often focusing on topics such as geodynamics and seismic activity.
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





