In mathematics, a proportion is an equation that states that two ratios are equal. Ratios compare two quantities and can be expressed in several ways, such as fractions, decimals, or percentages. A proportion can be represented in the following general form: \[ \frac{a}{b} = \frac{c}{d} \] In this equation, \( \frac{a}{b} \) and \( \frac{c}{d} \) are both ratios.
Mathematical artists are individuals who combine mathematics and art to create visual representations that explore mathematical concepts or use mathematical techniques. This blend can take various forms, including: 1. **Geometric Art**: Utilizing shapes, patterns, and spatial arrangements derived from geometric principles to create visually engaging pieces. 2. **Fractals**: Artists may use fractal mathematics to generate intricate designs that display self-similar patterns at different scales, often creating mesmerizing visual results.
In physics, "concepts" refer to fundamental ideas or principles that help explain the behavior of the physical universe. These concepts serve as the building blocks for understanding more complex phenomena and are essential for developing theories, conducting experiments, and solving problems. Here are some key concepts in various branches of physics: 1. **Mechanics**: - **Force**: An interaction that causes an object to change its velocity (accelerate).
The National Society of Black Physicists (NSBP) is an organization dedicated to promoting the participation of Black individuals in the field of physics and related sciences. Founded in 1977, NSBP aims to support the professional development of Black physicists, enhance the visibility of their contributions to the scientific community, and encourage students to pursue careers in physics and STEM (science, technology, engineering, and mathematics) fields.
Reverse diffusion is a concept often discussed in the context of generative models, particularly in machine learning and statistical physics. In simple terms, it refers to a process in which a system moves from a state of higher disorder or uncertainty (often represented by noise) to a state of lower disorder or higher structure, effectively "reversing" the natural process of diffusion.
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