Blattner's conjecture is a conjecture in the field of algebraic topology and homotopy theory, specifically concerning the structure of topological groups and their associated homotopy groups. Proposed by the mathematician Robert Blattner, the conjecture suggests a connection between certain types of topological groups and the generation of their homotopy groups.
Fuglede's conjecture, proposed by the mathematician Bjarne Fuglede in 1974, is a statement in the field of mathematics that relates to the concepts of spectral sets and tiling in Euclidean space. Specifically, the conjecture asserts that: A measurable subset \( S \) of \( \mathbb{R}^n \) can tile \( \mathbb{R}^n \) by translations if and only if it is a spectral set.
Mahler's 3/2 problem is a question in the field of number theory, specifically related to the properties of real numbers and their representations. Named after the mathematician Kurt Mahler, the problem concerns the transcendental numbers and the approximation of real numbers by rational numbers. The essence of the problem deals with whether there exist sufficiently "nice" sequences of rational numbers that can approximate certain real algebraic numbers well, particularly those that satisfy specific linear forms.
A list of conjectures is generally a compilation of mathematical statements or propositions that are suspected to be true but have not yet been proven. Conjectures play a significant role in driving mathematical research, often guiding the development of theories and the exploration of new areas. They can be found across various fields within mathematics, including number theory, topology, geometry, and combinatorics.
The term "Egyptian statisticians" can refer to statistics professionals, researchers, or academics from Egypt who work in the field of statistics, data analysis, or related disciplines. These individuals may be involved in various areas, including government statistics, academic research, or private sector data analysis. Egypt has a rich history of contributions to mathematics and statistics, and modern Egyptian statisticians often work in fields such as economics, public health, social sciences, and environmental studies.
Medieval Egyptian mathematicians were part of a rich tradition of mathematical scholarship in Egypt that continued from ancient times into the medieval period. This era saw the blending of knowledge from various cultures, particularly due to the influence of the Arab Empire after the Islamic conquests of the 7th century. Some notable contributions from this period include: 1. **Al-Khwarizmi (c.
C.S. Yogananda, also known simply as Paramahansa Yogananda, was a prominent Indian yogi and spiritual teacher who introduced many Westerners to the teachings of meditation and Kriya Yoga. Born on January 5, 1893, in Gorakhpur, India, Yogananda is best known for his book "Autobiography of a Yogi," published in 1946, which has inspired millions and remains a classic in spiritual literature.
Gaṇeśa Daivajna is a term that refers to a specific figure in Hindu tradition, particularly associated with astrology and astrology-related practices. The term "Daivajna" translates to "divine knowledge" or "one knowledgeable in astrology." Gaṇeśa is the name of the elephant-headed deity, revered as the god of beginnings, wisdom, and obstacle removal.
Samarendra Kumar Mitra is an Indian politician associated with the Indian National Congress. He is known for his contributions to Indian politics and has held various positions within the party and government.
Virasena is a name that might refer to several different things. However, it is primarily recognized as a significant figure in Hindu mythology and literature. One of the notable references is to Virasena as a character in ancient texts or epics, often associated with valor or heroism. In some contexts, Virasena can also refer to cultural or religious aspects, such as festivals or stories in various regional traditions in India.
The Ramanujan Institute for Advanced Study in Mathematics, located in Chennai, India, is a prominent research center dedicated to the field of mathematics. Named after the famed Indian mathematician Srinivasa Ramanujan, the institute aims to promote advanced research in various areas of mathematics and foster an environment conducive to mathematical inquiry. Founded in 1966, the institute is often associated with the Institute of Mathematical Sciences (IMSc) and focuses on both pure and applied mathematics.
Kokichi Sugihara is a Japanese mathematician and psychologist known for his work in the field of visual perception, particularly in relation to optical illusions and cognitive processes. One of his most notable contributions is the development of the "Sugihara Penrose Triangle" and various other optical illusions that challenge our understanding of dimensions and shapes. He has also explored how humans perceive geometric structures and the mental processes involved in interpreting visual information.
Tatsujiro Shimizu is a prominent figure in the field of nuclear energy. He is known for his work as a researcher and policy analyst, particularly in the context of nuclear safety, energy policy, and the implications of nuclear technology on society. Shimizu has likely contributed to discussions and analyses regarding nuclear power's role in addressing energy needs, as well as its environmental and safety challenges.
The Rocky Flats Truth Force is a group that was formed to address concerns surrounding the Rocky Flats Plant, which was a nuclear weapons production facility located near Denver, Colorado. The plant operated from the 1950s until it was closed in the 1990s, and it was a site of nuclear weapons production, particularly for plutonium triggers for nuclear bombs.
Korean mathematicians have made contributions throughout history, and their work can be explored across different centuries. Here's a brief overview of notable Korean mathematicians by century: ### 15th Century - **Jang Yeong-sil (1390-1450)**: While he is primarily known for his contributions to astronomy and technology, he also played a role in advancing mathematical techniques during the Joseon Dynasty.
Josip Pečarić is a mathematician known for his work in mathematical inequalities, functional analysis, and related areas. He has contributed significantly to the field through research papers and publications. Pečarić has also been involved in academic activities, including teaching and mentoring students in mathematics.
Topsy was a female African elephant who is famously known for her tragic story in the early 20th century. She was born around 1875 and spent a significant part of her life in captivity. Topsy was initially part of a circus and later moved to Coney Island in New York, where she was part of a zoo attraction. Topsy became infamous after a series of incidents that included her aggression towards humans, which ultimately led to her being deemed a danger.
Jana Zaumseil is a prominent figure in the field of computer science, particularly known for her work in programming languages, type systems, and educational technology. She has contributed to research on software development and tools that support learning and understanding of programming concepts.
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