Ming Antu's infinite series expansion is a method of expressing trigonometric functions as infinite series.
Yigu yanduan (一顧言短) is a Chinese expression that translates to "a brief glance" or "a single look." It is often used in literature and poetry, typically to convey a moment of deep emotion or insight that arises from a fleeting or simple observation. The phrase carries a connotation of appreciating the beauty or significance of something in a concise manner, often emphasizing the impact that a short encounter or view can have on one’s thoughts or feelings.
Norton's theorem is a fundamental principle in electrical engineering, particularly in circuit analysis. It states that any linear electrical network with voltage sources, current sources, and resistances can be simplified to an equivalent circuit consisting of a single current source in parallel with a single resistor.
Nim is a high-level, statically typed programming language designed for efficiency, expressiveness, and versatility. It combines elements from various programming paradigms, including procedural, functional, and object-oriented programming. Key features of Nim include: 1. **Performance**: Nim compiles to efficient C, C++, or JavaScript code, allowing for high-performance applications while still providing the expressive benefits of a high-level language.
A Poset game, or partially ordered set game, is a combinatorial game that is played on a finite partially ordered set (poset). In these games, two players take turns choosing elements from the poset under certain rules that depend on the structure of the poset. ### Rules and Structure 1.
"Tiny" and "miny" are not standard terms in the English language, but "tiny" is a commonly used adjective that means very small in size or amount. The term is often used colloquially and in informal contexts to describe something that is significantly smaller than the average size. "Miny," on the other hand, may be a misspelling of "mini" or "minnie," which can refer to small versions of objects or concepts (like "miniature").
Branko Grünbaum (born January 17, 1929) is a renowned mathematician known for his contributions to various fields within mathematics, particularly in geometry, topology, and combinatorics. He has published numerous research papers and books, and he is noted for his work on polytopes, convex geometric structures, and discrete geometry. In addition to his research, Grünbaum has been involved in mathematical education and has played a significant role in promoting mathematics in various contexts.
As of my last update in October 2023, there is no widely recognized figure, concept, or technology specifically known as "Bryan Shader." It's possible that you may be referring to a less prominent individual, a specific term in a niche field, or a recent development that occurred after my last update.
Egon Schulte is a mathematician known for his work in various areas of mathematics, particularly in combinatorics and geometry. He has contributed to topics such as hyperbolic geometry, group theory, and the study of geometric structures. Schulte has also been involved in mathematical education and has published a number of research papers and articles in the mathematical community.
Helge Tverberg is a Norwegian mathematician known for his contributions to topology and geometry. He is particularly recognized for Tverberg's theorem, which involves the partitioning of convex bodies in Euclidean space.
Imre Leader is a prominent mathematician known for his contributions to various fields, including combinatorics and discrete mathematics. He has made significant advancements in areas such as extremal combinatorics, random graphs, and graph theory. Leader’s work often emphasizes the interplay between combinatorial structures and probabilistic methods, and he has authored or co-authored numerous research papers on these topics.
Lydia Bieri is a mathematician known for her work in mathematical relativity and partial differential equations. She has made significant contributions to the field, particularly in the study of Einstein's equations and their solutions. Bieri has also been recognized for her efforts in promoting diversity in mathematics and supporting underrepresented groups in the field.
Ken Ono is a prominent Japanese-American mathematician known for his work in number theory, particularly in the areas concerning modular forms, partitions, and q-series. Born on April 17, 1961, he has made significant contributions to the understanding of various mathematical topics, including the theory of partitions and the study of the Ramanujan congruences.
Jim Geelen is a prominent Australian mathematician known for his contributions to graph theory and matroid theory. His work often involves the study of combinatorial structures and has implications in various areas of mathematics. Geelen has collaborated with other mathematicians and has published numerous papers in reputable journals.
Jiří Matoušek is a Czech mathematician known for his contributions to areas such as combinatorics, discrete geometry, and algorithmic geometry. He has worked on a variety of problems concerning geometric structures and their combinatorial properties. Matoušek has also authored influential texts and papers in these fields, helping to advance understanding and techniques related to geometric combinatorics.
Karim Adiprasito is a mathematician known for his contributions in the fields of combinatorics and discrete geometry. He has made significant advancements in various areas, particularly in the study of the geometric properties of objects and their implications in combinatorial settings. Adiprasito is also known for his work on the theory of matroids and other related mathematical structures. His research often involves applying techniques from algebraic topology and other branches of mathematics to solve problems in combinatorics.
Lu Jiaxi (also known as Lu Jiaxi, 1904–1991) was a prominent Chinese mathematician known for his contributions to various fields within mathematics, particularly in complex analysis and algebraic topology. He played a significant role in the development of mathematics in China during the 20th century and was instrumental in the education of many mathematicians. Lu held various academic positions and was involved in research as well as teaching for many years.
Pamela E. Harris is a prominent mathematician known for her contributions to algebraic combinatorics, especially in the areas of partition theory and symmetric functions. She is also recognized for her work in mathematical education and outreach, particularly in promoting diversity in STEM fields. Harris has been involved in various initiatives to encourage underrepresented groups to pursue careers in mathematics and science. Additionally, she has published numerous research papers and is an advocate for making mathematics more accessible and inclusive.
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





