Independence of premises is a concept in logic and philosophy that refers to the idea that the premises of an argument should not depend on one another for the argument to be valid or sound. In other words, each premise should provide unique support for the conclusion rather than relying on the others. When premises are independent, it means that even if one premise is false or rejected, the truth or acceptance of the other premises can still support the conclusion.
The Indian Institute of Science Education and Research, Thiruvananthapuram (IISER Thiruvananthapuram) is one of the institutes of national importance in India focused on advanced scientific education and research. Established in 2008, it is part of a network of IISERs initiated by the Government of India with the aim of promoting high-quality science education and research in the country.
"Farewell to the World" is a work by the renowned Australian author John O'Grady, best known for his novel "They’re a Weird Mob." This particular work is a collection of stories that reflect on the experiences of Australians, often exploring themes of identity, culture, and the human condition. O'Grady's writing is marked by his keen observation of social nuances and his ability to evoke a sense of place in his narratives.
"Live at the Sydney Opera House" is a live album by Australian singer-songwriter Paul Kelly, released in 2022. The album features a selection of his well-known songs, showcasing his distinctive storytelling and musical style. Recorded during a performance at the iconic Sydney Opera House, the album captures the energy and atmosphere of the live concert experience. Paul Kelly is renowned for his contributions to Australian music, and this album serves as a celebration of his extensive catalog and performance prowess.
"The Whitlams & The Sydney Symphony Live in Concert" is a collaborative concert event that features the Australian band The Whitlams performing alongside the Sydney Symphony Orchestra. The Whitlams are known for their unique blend of alternative rock and pop, characterized by emotive lyrics and distinctive melodies. The collaboration typically involves reimagining some of their most popular songs, presenting them with orchestral arrangements that add depth and richness to the music.
The Chern Medal is an award conferred by the Chern Medal Foundation and the International Association of Applied Mathematics and Mechanics (GAMM). It is named after the renowned mathematician Shiing-Shen Chern, who made significant contributions to differential geometry and topology. The Chern Medal is awarded to individuals for outstanding achievements in the field of mathematics, particularly those that have had a significant impact on other disciplines, including science and engineering.
The Emmy Noether Fellowship is a research fellowship program designed to support outstanding early-career researchers, typically in the fields of mathematics, physics, and related areas. The fellowship is named after the renowned mathematician Emmy Noether, who made significant contributions to abstract algebra and theoretical physics. The fellowship aims to promote innovative research by providing funding, resources, and opportunities for collaboration within a supportive academic environment.
The Shephard Prize is an award given to recognize outstanding contributions to the field of environmental and resource economics. Named after the influential economist William H. Shephard, the prize typically honors individuals or groups whose research or work has significantly advanced knowledge in this area. However, it's worth noting that the specifics surrounding the prize, including awarding institutions and criteria, can vary.
The Beckenbach Book Prize is awarded for the best book in the field of applied mathematics. Established in honor of the contributions of professor Hans Beckenbach, the prize recognizes outstanding works that contribute to the advancement of applied mathematics. The award is presented by the Society for Industrial and Applied Mathematics (SIAM). Books eligible for the prize typically focus on applications of mathematics in various domains, including engineering, science, and industry.
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