Albert J. Libchaber is a notable physicist known for his work in the fields of experimental physics, particularly in the areas of nonlinear dynamics and chaos. He has made significant contributions to our understanding of complex systems and has engaged in research related to fluid dynamics, laser physics, and statistical mechanics. Libchaber is perhaps best known for his experiments that explore the transition to turbulence, as well as for his work on the behavior of systems far from equilibrium.
George Mostow is a prominent American mathematician known for his significant contributions to the field of mathematics, particularly in the areas of topology, geometry, and group theory. Mostow is perhaps best known for his work on rigidity theorems, which have deep implications in the study of manifolds and the geometry of hyperbolic spaces. Mostow's rigidity theorem shows that, under certain conditions, a higher-dimensional manifold is uniquely determined by its fundamental group.
As of my last update in October 2023, there is no widely recognized figure, concept, or entity named "Markus Owen" that stands out in popular culture, academia, or public affairs.
Jens Marklof is a mathematician known for his work in various areas, including dynamical systems, probability theory, and mathematical physics. His research often involves the study of systems with random or chaotic behavior, and he has contributed to the understanding of complex systems in mathematical contexts.
Jeff Paris is a mathematician known for his work in mathematical logic, particularly in areas such as reverse mathematics and proof theory. He is associated with research on the foundations of mathematics and contributes to understanding the relationships between different axiomatic systems and theorems. One of his notable contributions is in the study of large cardinals and their implications in set theory. He has also worked on the concept of mathematical intuitionism and the philosophical aspects of mathematics.
Heather Harrington may refer to several individuals or contexts, depending on the specific area of interest. One notable person is Heather Harrington, a mathematician known for her work in the fields of algebraic topology, applied mathematics, and data science. She is involved in research at the intersection of these disciplines and may have contributed to various publications and projects in her field.
As of my last knowledge update in October 2023, "Dominic Joyce" does not refer to a widely recognized individual, entity, or concept in popular culture, literature, or significant news. It’s possible that he could be a private individual, a lesser-known figure, or someone who has gained prominence after my last update.
David E. Evans is a name that may refer to different individuals in various fields, including academia and professional sectors. Without more specific context, it's difficult to identify a particular person or their relevance. Could you provide more details or specify the field or context in which you're referring to David E. Evans?
Catharina Stroppel is a prominent mathematician known for her work in the field of topology, particularly in the areas of knot theory and low-dimensional topology. She has made significant contributions to understanding the properties and structures of knots and links. Stroppel is also recognized for her role in academia and her involvement in various mathematical communities and events.
Antony Wassermann does not appear to be a widely recognized public figure, concept, or term in widely available resources as of my last knowledge update in October 2023. It is possible that they are an emerging personality, a figure in a specific niche, or have gained prominence after that date.
The Well-ordering principle is a fundamental concept in set theory and mathematics that states that every non-empty set of non-negative integers (or positive integers) contains a least element.
A well-founded relation is a binary relation that has a specific property related to the absence of infinite descending sequences.
Scott–Potter set theory is a foundational framework in mathematics that extends traditional set theory, particularly Zermelo-Fraenkel set theory, by incorporating notions related to constructive mathematics and category theory. It was developed by mathematicians Dana Scott and Michael Potter to provide a more flexible way of dealing with sets, particularly in the context of type theory and domain theory.
Non-well-founded set theory is a branch of set theory that allows for sets that can contain themselves as elements, either directly or indirectly, leading to the formation of infinite descending chains. This is in contrast to classical set theory, particularly Zermelo-Fraenkel set theory with the Axiom of Foundation (or Axiom of Regularity), which restricts sets to be well-founded.
A Noetherian topological space is a type of topological space that satisfies a particular property related to its open sets, inspired by Noetherian rings in algebra. Specifically, a topological space \( X \) is called Noetherian if it satisfies the following condition: - **Finite Intersection Property**: Every open cover of \( X \) has a finite subcover.

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 5. . 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.
  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