The Mozilla Manifesto is a document that outlines the principles and beliefs that guide the Mozilla Foundation and its mission. It serves as a declaration of the organization's commitment to promoting a healthy internet, fostering innovation, and ensuring that the web remains open and accessible to everyone. The manifesto emphasizes key values such as: 1. **Openness**: The web should be accessible to all, and its technologies and standards should be open and transparent.
The Next Generation Internet (NGI) initiative is a program primarily spearheaded by the European Commission aimed at fostering the development of an internet that is more user-centric, secure, and respectful of individual privacy. The vision behind NGI is to create an internet that supports innovation while ensuring that it meets the evolving needs of users and society at large.
"The Big Electric Cat" is a song by the American rock band, The Hooters. It appears on their 1985 album, "Nervous Night." The track showcases the band's blend of rock, new wave, and alternative influences, characterized by catchy melodies and vibrant instrumentation. It's important to note that there may be other interpretations or works that could be referred to as "The Big Electric Cat," but the most notable reference is the song by The Hooters.
Cohomology of algebras is a mathematical framework that extends the concepts of cohomology from topological spaces and differential geometry to algebraic structures, such as associative algebras, Lie algebras, and more generally, algebraic structures equipped with an action. At its core, cohomology assigns algebraic invariants (usually in the form of cohomology groups or cohomology spaces) to an algebraic object, which can provide insights into its structure and properties.
"Pumps" can refer to several things depending on the context. Here are a few common interpretations: 1. **Mechanical Pumps**: Devices that move fluids (liquids or gases) by mechanical action. They are used in various applications, such as water supply, heating, and industrial processes. Types of mechanical pumps include centrifugal pumps, positive displacement pumps, and diaphragm pumps.
Surveillance capitalism is a term coined by Shoshana Zuboff in her 2019 book, "The Age of Surveillance Capitalism: The Fight for a Human Future at the New Frontier of Power." It refers to a new economic system that capitalizes on the collection and analysis of vast amounts of personal data generated by individuals through their interactions with digital technologies, particularly the internet, social media, and mobile devices.
The UCLA Henry Samueli School of Engineering and Applied Science (often referred to as UCLA Engineering) is one of the premier engineering schools in the United States, part of the University of California, Los Angeles (UCLA). Established in 1936, the school offers a wide range of undergraduate and graduate programs across various engineering disciplines.
Mixed Hodge modules are a sophisticated mathematical concept that arises in the intersection of algebraic geometry, Hodge theory, and the theory of perverse sheaves. They were introduced by the mathematician Mitsuhiro Shintani in a 2000 paper and are part of the framework for understanding the properties of complex algebraic varieties and their singularities.
The Cartan–Eilenberg resolution is a method in homological algebra that provides a way to resolve certain algebraic structures (such as modules or complexes) using projective or injective resolutions. It is particularly useful in the context of derived functors and in studying the homological properties of chain complexes.
Factorization homology is a concept from the field of algebraic topology and homotopy theory, particularly in the context of homology theories that are associated with topological spaces and manifolds. It is a way of deriving a homology theory from the structure of a space by using "factorization" properties of differentials forms or more general coefficients.
The Eilenberg–Zilber theorem is a result in algebraic topology and homological algebra that provides a way to compute the singular homology of a product of two topological spaces. Specifically, the theorem addresses the relationship between the singular chains on the product of two spaces and the singular chains on the spaces themselves.
The Koszul complex is a construction in algebraic topology and commutative algebra that arises in the study of modules over a ring and their syzygies. It is particularly useful for understanding the structure of modules over a polynomial ring and in computing homological properties.
The Künneth theorem is an important result in algebraic topology that relates the homology groups of a product of two topological spaces to the homology groups of the individual spaces. It is particularly useful in the computation of homology groups for spaces that can be expressed as products of simpler spaces.
Grothendieck's Tôhoku paper, formally titled "Éléments de géométrie algébrique I: La théorie des schémas," is a seminal work published in 1960 in the journal "Tohoku Mathematical Journal." This paper is one of the foundational texts in the field of algebraic geometry and represents a major step forward in the development of the theory of schemes.
As of my last update, there is no widely recognized figure or concept known as "Janez Lawson." It's possible that it may refer to a private individual, a recent event, or a niche topic that has emerged after my last training cut-off in October 2023.
Anne Walker is an American astronomer known for her contributions to observational astronomy, particularly in the study of star clusters and the dynamics of galaxies. Her work often involves the use of advanced astronomical techniques and instruments to better understand the formation and evolution of these celestial objects.
Frances Spence might refer to different topics or individuals, but one prominent figure by that name is a notable computer scientist known for her work in the field of programming languages and software engineering. She is particularly noted for contributions to the development of influential languages and methodologies.

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