"Lines Across Maps" typically refers to a concept or practice in cartography where lines are drawn across maps for various purposes, such as to represent boundaries, routes, or connections between different geographic points. This can include: 1. **Political Boundaries**: Lines indicating borders between countries or regions. 2. **Transportation Routes**: Lines showing roads, railways, and flight paths. 3. **Migration Patterns**: Arrows or lines representing the movement of people or animals across different areas.
Off Minor is an American musical group known for its unique blend of post-hardcore and emo influences. Formed in the early 2000s, the band is recognized for its intricate song structures and emotionally charged lyrics. Off Minor has garnered a following in the underground music scene and is often associated with the "screamo" genre movement, characterized by dynamic shifts between melodic passages and aggressive vocal deliveries.
Youthmovies was a British post-rock band formed in 2000. They were known for their dynamic sound, combining elements of rock, math rock, and post-rock, and often incorporating complex arrangements and emotive vocals. The band's music features an eclectic mix of genres, with influences ranging from indie rock to experimental music. Youthmovies gained a following for their energetic live performances and critical acclaim for their recordings. They released several EPs and full-length albums before disbanding in 2008.
The Birkhoff–Kellogg invariant-direction theorem is a result in the field of topology and fixed-point theory, specifically in the study of continuous functions on convex sets. The theorem addresses the behavior of continuous functions defined on convex subsets of a Euclidean space.
The Favard constant is a mathematical constant associated with the study of certain types of geometric shapes and their properties, particularly in relation to the concept of area and measure in Euclidean space. It is named after the French mathematician Jean Favard. In the context of convex shapes in the plane, the Favard constant provides a way to express the relationship between the area of a convex set and the area of its symmetrized version.
The Eden growth model, also known as the Eden process or the Eden model, is a concept in statistical physics and mathematical modeling that describes the growth of clusters or patterns in a stochastic (random) manner. It was first introduced by the physicist E. D. Eden in 1961.
The Kaup–Kupershmidt equation is a type of nonlinear partial differential equation that arises in the context of integrable systems and the study of wave phenomena, particularly in fluid dynamics and mathematical physics. It is named after mathematicians, B. Kaup and B. Kupershmidt, who contributed to its development.
Thiele's interpolation formula is a method used for interpolating values of a function based on a set of known data points—specifically, it is particularly useful for interpolating values for unequally spaced data points. This method employs divided differences, which facilitate polynomial interpolation based on the data points.
PDE theorists are researchers and mathematicians who specialize in the study of partial differential equations (PDEs). PDEs are equations that involve functions of several variables and their partial derivatives. They are fundamental in various fields of science and engineering because they can describe a wide range of physical phenomena, including heat transfer, fluid dynamics, wave propagation, and electromagnetism.
Einar Hille (born 1884, died 1954) was a prominent Norwegian mathematician known for his contributions to real analysis and functional analysis. He is particularly noted for his work on functional spaces, measure theory, and integral equations. Hille's legacy includes significant publications in mathematics, and he is remembered for his influence on the field, including his collaborations with other mathematicians. His work has continued to be of relevance in various areas of mathematics.
L. E. J. Brouwer, often referred to simply as L.E.J. Brouwer, was a Dutch mathematician and philosopher known for his foundational work in topology and his contributions to mathematical logic and intuitionism. He was born on February 27, 1881, and passed away on December 2, 1966. Brouwer is particularly well-known for founding the field of topology, which studies properties of space that are preserved under continuous transformations.
James Mercer is a mathematician best known for his contributions to functional analysis and statistics, particularly in the development of the Mercer theorem. The Mercer theorem provides conditions under which a continuous positive semidefinite kernel can be represented in terms of an infinite series of eigenfunctions. This has important applications in various fields, including machine learning, where it is often used in the context of support vector machines and kernel methods.
John Edensor Littlewood (1885–1977) was an influential English mathematician known for his contributions to various areas of mathematics, particularly in analysis, number theory, and mathematical logic. He is well-remembered for his collaboration with G.H. Hardy, with whom he co-authored several important works, including the famous "Hardy-Littlewood Method," which involves techniques in analytic number theory.
Joseph L. Doob (1910–2004) was an influential American mathematician known primarily for his contributions to the fields of probability theory and stochastic processes. He is renowned for his work on measure theory and for developing concepts that laid the groundwork for modern probability. Among his significant contributions is the formulation of Doob's martingale concept, which has extensive applications in various areas, including financial mathematics, statistics, and mathematical physics.
Kenneth I. Gross is primarily known as a prominent figure in the field of law, particularly focusing on tax law and estate planning. He has authored various articles and publications on these subjects and is regarded for his expertise and contributions to legal education. In addition, Kenneth I. Gross may also refer to various individuals in different professions, but without more specific context, it's challenging to pinpoint which Kenneth I.
Pia Nalli does not appear to be a widely recognized name or term in popular culture, literature, or notable figures as of my last update in October 2023. It's possible that Pia Nalli could refer to a specific individual, a lesser-known entity, or perhaps a character in a work of fiction that has gained recognition after that date.
Roger Jones is an American mathematician known for his contributions to various areas of mathematics, particularly in topology, graph theory, and mathematical education. He has worked on topics such as the properties of knot theory, as well as providing insights into combinatorial aspects of mathematics. Jones is also known for his work in mathematical pedagogy, advocating for effective teaching methods and the importance of fostering a deep understanding of mathematical concepts among students.
Roger Cotes (1682–1716) was an English mathematician and physicist known for his work in the early 18th century. He is best remembered for his contributions to the fields of mathematics and his collaboration with Sir Isaac Newton. His most significant work includes the editing and improvements made to the second edition of Newton's "Mathematical Principles of Natural Philosophy" (Principia).
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





