Invariance of domain is a theorem in topology that relates to the concept of continuous functions between topological spaces, particularly finite-dimensional Euclidean spaces.
James Hartle is a prominent American theoretical physicist, best known for his work in the field of cosmology and general relativity. He is a professor emeritus at the University of California, Santa Barbara. Hartle is particularly recognized for his contributions to the understanding of the early universe and the concept of the "no-boundary proposal"—a model of the universe's origin that he developed in collaboration with physicist Stephen Hawking.
James T. Linnemann is a professor of sociology known for his research and contributions in the fields of social dynamics, sociology of education, and community studies. His work often explores social structures, inequality, and the interplay between individual agency and societal factors. If you have a specific context in mind or a different inquiry about James T. Linnemann, please provide more details!
A Janet basis is a specific type of algebraic basis used in the field of commutative algebra and computational algebra. It is particularly useful in the context of polynomial ring ideals and forms a useful tool for solving systems of polynomial equations and performing polynomial computations. The Janet basis is essentially a generalization of the Gröbner basis and is designed to handle polynomial systems where variables may appear in a non-standard order or with multiple degrees.
As of my last update in October 2023, there isn't a widely known figure or entity specifically recognized as "Jesse Carlsson" in popular culture, history, or notable current events. It's possible that Jesse Carlsson could be a private individual, a fictional character, or a lesser-known figure in a specific field, such as sports, art, or academia.
Jaroslav Nešetřil is a prominent Czech mathematician, known for his contributions to various fields within mathematics, particularly in combinatorics and graph theory. He has also made significant contributions to model theory and theoretical computer science. Nešetřil has published extensively and is recognized for his work in the area of extremal combinatorics, the study of graph properties, and the interplay between algebra and combinatorial structures.
John H. Fremlin refers to an individual who may be notable in various contexts, but without additional information, it's difficult to pinpoint. If you are referring to a specific person, event, or context involving John H. Fremlin, please provide more details so I can assist you better. If he is connected to a particular field, such as science, literature, or business, that information would also be helpful.
The J. H. Wilkinson Prize for Numerical Software is an award given to recognize outstanding contributions to the field of numerical software. Established in honor of the renowned mathematician and numerical analyst John H. Wilkinson, the prize aims to acknowledge the development and implementation of significant numerical algorithms, software, or environments that contribute to advancing numerical analysis and computational mathematics. The prize is typically awarded based on criteria such as the importance, real-world impact, and innovative nature of the software.
Johan de Kleer is a prominent figure in the field of artificial intelligence, particularly known for his work in knowledge representation and reasoning. He is a researcher who contributed significantly to the development of systems that can perform reasoning tasks, such as diagnosing problems in complex systems and understanding causal relationships. De Kleer's work has implications in various applications, including engineering, robotics, and automated reasoning systems.
John Backus is recognized for his contributions to acoustics, particularly in the fields of sound propagation and environmental acoustics. While specific details about his research and achievements might not be widely documented, he is known for his work in understanding how sound behaves in various environments, which can include natural settings, urban areas, and architectural spaces.
John P. Vinti is not a widely recognized public figure, and there is limited information available about him. It's possible that he may be a private individual, a professional in a specific field, or a figure not covered extensively in public sources. If you are looking for information about a specific John P. Vinti related to a particular context (such as academia, business, or another area), could you please provide more details?
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!
Intro to OurBigBook
. Source. We have two killer features:
- 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-calculusArticles 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/derivativeVideo 2. OurBigBook Web topics demo. Source. - 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.
- to OurBigBook.com to get awesome multi-user features like topics and likes
- as HTML files to a static website, which you can host yourself for free on many external providers like GitHub Pages, and remain in full control
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. - Infinitely deep tables of contents:
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





