Quantum mechanics is a fundamental branch of physics that deals with the behavior of matter and energy at the smallest scales, such as atoms and subatomic particles. It departs significantly from classical mechanics, which describes the motion of macroscopic objects. Here are some key principles and concepts of quantum mechanics: 1. **Wave-Particle Duality**: Particles, such as electrons and photons, exhibit both wave-like and particle-like properties.
Here’s a list of films that focus on mathematicians or explore themes related to mathematics: 1. **A Beautiful Mind (2001)** - A biographical film about John Nash, a Nobel Prize-winning mathematician who struggled with schizophrenia. 2. **The Imitation Game (2014)** - A biopic about Alan Turing, a mathematician and logician who played a key role in cracking the Enigma code during World War II.
Algebra education refers to the teaching and learning of algebra, a branch of mathematics dealing with symbols and the rules for manipulating those symbols. Algebra serves as a foundational component of mathematics, helping students to develop logical reasoning, problem-solving skills, and the ability to work with abstract concepts. Here are some key aspects of algebra education: 1. **Concepts and Skills**: - **Variables and Expressions**: Understanding the use of symbols to represent numbers and relationships.
Encyclopedias of mathematics are comprehensive reference works that compile and summarize the vast body of knowledge in the field of mathematics. These encyclopedias typically include entries on a wide range of topics, including mathematical theories, concepts, definitions, historical developments, famous mathematicians, and applications of mathematics in various fields. One prominent example is the "Encyclopaedia of Mathematics," which is an extensive resource that covers various mathematical topics in-depth, often written by experts in the field.
Philosophy of language is a subfield of philosophy that explores the nature, origins, and use of language. It examines fundamental questions about meaning, reference, truth, and the relationship between language and reality. Key topics in this area include: 1. **Meaning**: What does it mean for words or sentences to have meaning?
The philosophy of mind is a branch of philosophy that explores the nature of the mind, consciousness, and their relationship to the physical body, particularly the brain. It addresses fundamental questions related to consciousness, mental states, the nature of thought, perception, emotion, and the relationship between the mind and the body (often referred to as the mind-body problem).
Abstract object theory is a philosophical framework that deals with the nature of abstract objects—entities that do not exist in physical space and do not possess physical properties. Examples of abstract objects include numbers, properties, concepts, sets, and other non-material entities. The theory explores questions such as: 1. **Existence**: What does it mean for an abstract object to exist? Unlike physical objects, abstract objects are often seen as not having a location in space or time.
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