Friedrichs's inequality is a fundamental result in the field of functional analysis and partial differential equations. It provides a way to control the norm of a function in a Sobolev space by the norm of its gradient. Specifically, it is often used in the context of Sobolev spaces \( W^{1,p} \) and \( L^p \) spaces.
The Mandelbox is a type of fractal, specifically a 3D fractal that is an extension of the Mandelbrot set. It was discovered by artist and mathematician Bert Wang. The Mandelbox fractal is generated using a combination of simple transformations and complex mathematical rules, primarily involving iterations of mathematical functions. The structure of the Mandelbox is notable for its intricate, self-similar shapes and the depth of detail that can be found within it, which can be zoomed into indefinitely.
Jean Favard is a French mathematician known for his work in the field of analysis, particularly for his contributions to the theory of functions of several variables, including the Favard theorem related to set functions and measures. He has also made impacts in various areas of real analysis and topology.
The Pansu derivative is a concept from the field of geometric measure theory and analysis on metric spaces, particularly related to the study of Lipschitz maps and differentiability in the context of differentiable structures on metric spaces. It is named after Pierre Pansu, who introduced the idea while investigating the behavior of Lipschitz functions on certain types of spaces, especially in relation to their geometry.
The Sarason interpolation theorem is a result in complex analysis related to the theory of functional spaces, particularly in the context of the Hardy space \( H^2 \). It provides a criterion for the existence of an analytic function that interpolates a given sequence of points in the unit disk, subject to certain conditions.
The Szász–Mirakjan–Kantorovich operator is a mathematical operator used in approximation theory, particularly in the context of approximating functions using linear positive operators. This operator is a generalization of the Szász operator, which itself is a well-known tool for function approximation.
Andreas Seeger can refer to different individuals or contexts depending on the area of discussion. Without specific context, it's challenging to pinpoint exactly who you are referring to. 1. **Academia**: There may be academics or researchers with the name Andreas Seeger who have made contributions to their respective fields. 2. **Sports**: There could be athletes or coaches with that name. 3. **Popular Culture**: It could also refer to a public figure or celebrity.
Value distribution theory is a branch of complex analysis that focuses on understanding how holomorphic functions distribute their values in the complex plane. This theory is primarily concerned with the behavior of meromorphic functions (functions that are holomorphic except at a discrete set of poles) and their relationship with their value sets, particularly in terms of how often certain values are attained.
Ervin Feldheim is a prominent physicist known for his research in the fields of condensed matter physics and materials science. He has contributed to our understanding of various physical phenomena and has published numerous papers in scientific literature.
Isaac Jacob Schoenberg (1915–2006) was a notable mathematician known primarily for his work in the fields of functional analysis and numerical analysis. He made significant contributions to applied mathematics, particularly in the areas of interpolation and approximation theory. Schoenberg is often recognized for his development of the so-called Schoenberg splines. In addition, Schoenberg's work extended to various applications in engineering and numerical methods, which have had a lasting impact on the field.
Norair Arakelian could refer to a person, but without additional context, it is difficult to determine exactly who you are referring to. There might be multiple individuals with that name, and they may have various professions or roles.
Cesare Arzelà (1859–1933) was an Italian mathematician known for his contributions to various fields of mathematics, particularly in analysis and the theory of functions. He is often associated with results in the area known as measure theory, as well as differential equations and functional analysis. One of Arzelà's notable contributions is the Arzelà–Ascoli theorem, which provides a characterization of compact subsets of the space of continuous functions.
Edward B. Saff is a mathematician known for his contributions in the field of numerical analysis, specifically in relation to polynomial interpolation, approximation theory, and the study of orthogonal polynomials. He has also collaborated on research concerning the properties of Chebyshev polynomials and their applications. Saff has co-authored several textbooks and research papers that focus on mathematical methods and theories, making significant impacts in both theoretical and applied mathematics.
Gianfranco Cimmino is not a widely recognized public figure or entity in popular databases up to October 2023. It's possible that the name could refer to a person in academia, the arts, business, or another field, but specific information may not be well-documented or widely available.
Giuseppe Mingione is an Italian mathematician known for his contributions to the field of calculus of variations and partial differential equations. His work often involves the study of non-linear problems and weak solutions. Mingione has published numerous papers and has made significant advancements in understanding the regularity of solutions to certain types of variational problems. His research is influential in both theoretical mathematics and its applications in different scientific fields.
Hans Lewy was a notable mathematician, known for his contributions to the field of partial differential equations and mathematical analysis. His work significantly influenced areas such as the theory of functions, calculus of variations, and mathematical education. Born in 1889 and passing away in 1979, he had a lasting impact on both theoretical mathematics and its applications.
Jean Delsarte (1811–1871) was a French musician, actor, and teacher, best known for his work in the field of expressive movement and gesture, which has had a lasting influence on the performing arts, particularly in acting and dance. He developed a system of physical expression that aimed to convey emotions and character through body language, gestures, and posture.
Jean Leray (1906-1998) was a prominent French mathematician known for his contributions to various areas of mathematics, particularly in topology and functional analysis. He is perhaps best known for his work in the field of linear partial differential equations, where he was influential in the development of the theory of distributions (generalized functions). Leray's most notable contributions include the Leray-Schauder theorem in functional analysis and the Leray measure in topology.
Jesse Douglas was an American mathematician known for his contributions to the field of mathematics, particularly in complex analysis and functional analysis. He is perhaps best known for being one of the winners of the first Clay Mathematics Institute's prize for solving the Riemann Hypothesis, although this claim is often confused with other mathematicians, as the Riemann Hypothesis remains unproven.
Jonathan Bennett is a mathematician known for his work in various areas of mathematics, particularly in the fields of number theory and combinatorics. Depending on the context, he may also be recognized for contributions in related fields or for specific theorems or problems he has addressed. However, it’s important to clarify that there may be multiple individuals named Jonathan Bennett in academia.

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