65daysofstatic is a British band known for their unique blend of post-rock, electronic, and math rock elements. They often incorporate intricate guitar work, dynamic rhythms, and atmospheric soundscapes in their music. Some notable albums and songs by 65daysofstatic include: 1. **"The Fall Of Math" (2004)** - This was one of their breakthrough albums and features tracks like "Radio Protector" and "Doubt.
A **force chain** is a concept primarily used in the fields of materials science, physics, and engineering to describe the way forces are transmitted through a granular material or a system of interconnected particles. In a force chain, the particles or grains that come into contact with each other transmit force from one to another, creating a network or "chain" of forces throughout the material. This concept is particularly relevant in the study of granular materials like sand, gravel, and other particulate substances.
Tricot is a Japanese math rock band formed in 2010 in Kyoto. The band consists of members Ikkyu (vocals and guitar), Motoko (guitar), Hiromi (bass), and drummer (who may vary in lineup). Known for their intricate rhythms, technical guitar work, and energetic performances, Tricot combines elements of rock, pop, and progressive styles.
Turing Machine is an American mathematical rock band formed in Washington, D.C., in 1997. The band is known for its unique blend of post-rock, math rock, and instrumental rock, often incorporating elements of progressive rock. They are characterized by complex time signatures, intricate guitar work, and a focus on rhythm and texture rather than traditional song structures.
Andy Hawkins is an American musician and composer, best known for his work in the genre of experimental music and for being a founding member of the influential band *The Stomach Books*. He has been involved in various musical projects and collaborations, showcasing his versatility as an artist. Hawkins is recognized for his contributions to the avant-garde and indie music scenes, often blending different styles and techniques in his compositions. Additionally, he has been noted for his work as a producer and in related artistic fields.
Damon Che is known as an influential figure in the music scene, particularly as the drummer and a founding member of the band **Dinosaur Jr.** He is recognized for his distinctive style and contributions to the alternative rock and indie music genres. Che's drumming is characterized by dynamic rhythms and an ability to blend various musical influences.
Doug Scharin is an American musician and composer known for his contributions to various music genres, particularly in rock, post-rock, and experimental music. He is associated with several bands and projects, including the influential post-rock band June of 44, which was active in the 1990s. Scharin is known for his work as a drummer and has collaborated with a variety of artists and bands throughout his career.
Ian Williams is a musician known for his work as a guitarist and keyboardist, particularly in the realm of post-rock and experimental music. He is a member of the band Don Caballero, which is known for its complex rhythms and innovative soundscapes. Williams has also been involved in other projects, notably the band Storm & Stress, which explores more avant-garde and improvisational styles. His playing style often features unconventional time signatures and intricate melodies.
Bernstein's theorem in the context of approximation theory, particularly in the field of polynomial approximation, refers to the result that relates to the uniform approximation of continuous functions on a closed interval using polynomial functions. The theorem states that if \( f \) is a continuous function defined on the interval \([a, b]\), then \( f \) can be uniformly approximated as closely as desired by a sequence of polynomials.
The Agranovich–Dynin formula is a mathematical result in the field of partial differential equations, particularly in the study of the spectral properties of self-adjoint operators. It provides a way to relate the spectral analysis of certain operators to the behavior of solutions of the differential equations associated with those operators. The formula is particularly relevant in the context of boundary value problems, where it can be used to analyze the distribution of eigenvalues and the properties of the eigenfunctions of the associated differential operators.
The Bishop–Phelps theorem is a result in functional analysis that addresses the relationship between the norm of a continuous linear functional on a Banach space and the structure of the space itself. More specifically, it deals with the existence of points at which the functional attains its norm.
The Cagniard–De Hoop method is a mathematical technique used in seismology and acoustics for solving wave propagation problems, particularly in the context of wave equations. It is especially useful for analyzing wavefields generated by a point source in a medium.
The Calogero–Degasperis–Fokas (CDF) equation is a nonlinear partial differential equation that arises in mathematical physics and integrable systems. It is named after mathematicians Francesco Calogero, Carlo Degasperis, and Vassilis Fokas.
The Carleson–Jacobs theorem is a result in harmonic analysis concerning the behavior of certain functions in terms of their boundedness properties and the behavior of their Fourier transforms. It is named after mathematicians Lennart Carleson and H.G. Jacobs. The theorem essentially addresses the relationship between certain types of singular integral operators and the boundedness of functions in various function spaces, including \( L^p \) spaces.
The Dunford-Schwartz theorem is a result in functional analysis that pertains to the theory of unbounded operators on a Hilbert space. It primarily deals with the spectral properties of these operators.
Carl S. Herz is a name that may refer to various individuals or subjects, but without specific context, it's challenging to provide a precise answer. If you're referring to a person, there may be notable individuals by that name in various fields, such as science, business, or academia.
A fractal globule is a theoretical model of how certain types of DNA or polymer chains can be organized in a highly compact, yet flexible, manner. The concept was introduced to describe the conformation of long polymers in a way that resembles fractals, which are structures that exhibit self-similarity across different scales. Fractal globules are characterized by: 1. **Compactness**: They are densely packed, minimizing the overall volume of the polymer while maintaining its length.
The term "fractal canopy" can refer to different concepts depending on the context, but it is commonly associated with the study of tree canopies in ecology and environmental science, as well as in art and design. Here are two primary contexts in which "fractal canopy" may be relevant: 1. **Ecological Context**: In ecology, the term can be used to describe the structural complexity and organization of tree canopies in forests, which often exhibit fractal-like patterns.
Glaeser's composition theorem is a result in the field of analysis, specifically dealing with properties of functions and their compositions. The theorem is particularly relevant in the context of continuous functions and measurable sets. While the specific details of Glaeser's composition theorem may vary depending on the context in which it is discussed, the general idea revolves around how certain properties (such as measurability, continuity, or other functional properties) are preserved under composition of functions.

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!
We have two killer features:
  1. 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-calculus
    Articles 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/derivative
  2. 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.
    Figure 2.
    You can publish local OurBigBook lightweight markup files to either https://OurBigBook.com or as a static website
    .
    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.
  3. https://raw.githubusercontent.com/ourbigbook/ourbigbook-media/master/feature/x/hilbert-space-arrow.png
  4. Infinitely deep tables of contents:
    Figure 6.
    Dynamic article tree with infinitely deep table of contents
    .
    Descendant pages can also show up as toplevel e.g.: ourbigbook.com/cirosantilli/chordate-subclade
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