Initially a phenomenological guess to explain the periodic table. Later it was apparently proven properly with the spin-statistics theorem, physics.stackexchange.com/questions/360140/theoretical-proof-of-paulis-exclusion-principle.
And it was understood more and more that basically this is what prevents solids from collapsing into a single nucleus, not electrical repulsion: electron degeneracy pressure!
Bibliography:
- www.youtube.com/watch?v=EK_6OzZAh5k How Electron Spin Makes Matter Possible by PBS Space Time (2021)
Unipept is a web-based platform designed for the analysis and interpretation of mass spectrometry-based peptide sequencing data. It provides tools for researchers to visualize and explore protein sequences, identify peptides, and understand their biological implications. Unipept allows users to input their mass spectrometry data, and it helps them identify proteins, visualize peptide occurrence and variability, and explore functional annotations.
The McShane integral is a concept in real analysis that extends the notion of the Riemann integral to certain situations where the Riemann integral may not be applicable. It is named after the mathematician James McShane. ### Definition The McShane integral is defined for bounded functions on an interval \([a, b]\) in such a way that it can handle some functions that are not Riemann integrable due to issues like discontinuities.
Mathematics is a broad field of study that deals with numbers, quantities, shapes, and patterns. It is both a formal science and a practical tool used in various disciplines, providing a framework for understanding and describing the world around us. Here are some key aspects of mathematics: 1. **Branches**: Mathematics can be divided into several branches, including: - **Arithmetic**: The study of numbers and basic operations (addition, subtraction, multiplication, division).
The history of mathematics is a fascinating narrative that charts the development of mathematical concepts, systems, and practices throughout human civilization. It encompasses various periods, cultures, and significant figures who contributed to mathematical thought. Here's an overview of its key milestones: ### Ancient Mathematics (circa 3000 BCE – 500 CE) 1. **Mesopotamia**: The Sumerians developed a base-60 (sexagesimal) number system, which influenced our timekeeping and angles.
Thermodynamic systems refer to a specific portion of the physical universe that is being studied, with precise boundaries separating it from its surroundings. In thermodynamics, understanding systems is crucial as it allows for the analysis of energy interactions, phase changes, work, and heat transfer. There are three main types of thermodynamic systems: 1. **Open System**: An open system can exchange both energy and matter with its surroundings.
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