Measure theory is a branch of mathematics that deals with the study of measures, integration, and the properties of measurable functions. It provides a rigorous framework for understanding concepts such as length, area, volume, and probability. A **measure** is a systematic way to assign a numerical value (non-negative) to subsets of a given space, which can be thought of as a generalized notion of size.
Albert Charles Schaeffer does not appear to be a widely recognized public figure or concept according to readily available information up to my last training cutoff in October 2021. It is possible that he could be a private individual, a professional in a particular field, or a recent figure who gained recognition after that date.
Albert Wilansky is a figure known for his contributions to mathematical logic and set theory, particularly in relation to the study of large cardinals. He is associated with various concepts in these fields, although there may not be extensive public information about him.
Alessandra Lunardi may refer to a person, but without specific context, it's difficult to provide accurate information. It’s possible that she could be a public figure, an artist, a professional in a specific field, or a fictional character.
As of my last knowledge update in October 2021, Alexander Nagel could refer to a variety of individuals or concepts, but without additional context, it's difficult to pinpoint a specific person or subject. If you are referring to a notable figure, there might be athletes, academics, or other individuals by that name.
Dinesh Singh is an Indian academic known for his contributions in the field of mathematics and education. He has served as the Vice-Chancellor of the University of Delhi from 2013 to 2016. Singh has a background in mathematics with a focus on algebraic topology and other advanced areas. In addition to his administrative roles, he has been involved in research and has authored or co-authored several academic papers.
Eduard Ritter von Weber (born 1868 and died in 1939) was a notable Austrian politician and a member of the Christian Social Party. He played an active role in the political landscape of Austria during the early 20th century, particularly amidst the complexities of the Austro-Hungarian Empire and its aftermath following World War I.
Edward Bromhead is not a widely recognized figure in popular culture or history, as of my last knowledge update in October 2023.
Edward George Effros is a name associated with a mathematician known for significant contributions in the field of topology and set theory. He is particularly noted for his work on the foundations of mathematics and has been influential in areas like the study of cardinal numbers and ordinal numbers.
Eugenio Elia Levi, often referred to as Eugenio Levi, is known for his contributions in the field of mathematics, particularly in probability theory and statistics. He is also recognized for his work in areas related to the philosophy of science and the foundations of statistical inference. His research has played a significant role in advancing the understanding of mathematical concepts and their applications.
Evgenii Nikishin is not widely recognized in major historical, cultural, or scientific contexts, at least as of my last knowledge update in October 2023. It's possible that he could be a figure in a specific niche, such as a local personality, an artist, or someone who gained prominence recently.
Frigyes Riesz was a Hungarian mathematician born on 15th February 1880 and passed away on 28th December 1956. He is well-known for his contributions to various fields of mathematics, particularly in functional analysis, harmonic analysis, and the theory of integral equations. Riesz made significant advances in the study of complex functions and is recognized for his work on the Riesz representation theorem, which concerns measures and integrals.
G. N. Watson refers to George Neville Watson, a British mathematician known primarily for his work in the field of mathematics, particularly in relation to number theory and analysis. Watson made significant contributions in areas such as infinite series, orthogonal functions, and special functions. One of his notable achievements is the formulation of Watson's lemma, which is a tool used in asymptotic analysis.
George Herbert Swift Jr. was an American attorney and politician who served as a United States District Court Judge for the District of Virginia from 1960 until his retirement in 1974. He is known for his contributions to the legal field and for his role in various notable cases. However, further information on him might not be readily available since he may not be a widely recognized public figure.
As of my last knowledge update in October 2023, Henri Milloux does not appear to be a widely recognized figure or concept in popular culture, history, literature, or other fields. It is possible that Henri Milloux could refer to a lesser-known individual or a specific reference not widely documented in common sources.
Harold S. Shapiro is an American academic known primarily for his roles in higher education administration. He served as the president of both Princeton University (1980-1987) and the University of Michigan (1980-1987). Additionally, Shapiro is a distinguished biologist and has contributed to research in the fields of genetics and molecular biology. He has also been involved in various educational and scientific organizations, serving on several boards and committees.
Ivan Privalov might refer to different concepts depending on the context, but without specific context, it's not clear which one you are referring to. If it's a person, he could be an individual known for specific contributions in a field such as science, literature, or another area.
Jacques-Louis Lions (1928–2020) was a prominent French mathematician renowned for his contributions to the fields of partial differential equations, numerical analysis, and mathematical physics. He made significant advancements in understanding boundary value problems and the theory of weak solutions. His work laid foundational concepts that advanced the fields of mathematical analysis and applied mathematics. Lions was also involved in mathematical methods in engineering and contributed to the development of numerical techniques for solving complex mathematical problems.
Laurence Chisholm Young (1899–1975) was a Scottish mathematician known for his work in the fields of analysis and differential equations. His contributions include research in functional analysis, potential theory, and more. Young is also recognized for his role in the development of mathematical education and his extensive publications on various mathematical theories.
Leo Sario does not appear to refer to a widely recognized term, person, or concept as of my last knowledge update in October 2023. It's possible that it could be a name or term that has gained prominence recently or is specific to a niche community or context.

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