Mathematical constants are specific, well-defined numbers that arise in mathematics and have conventional values. These constants are not variable or dependent on a particular circumstance; instead, they are fixed values that are often encountered in various mathematical contexts and disciplines. Here are some of the most notable mathematical constants: 1. **π (Pi)**: Approximately equal to 3.14159, π is the ratio of a circle's circumference to its diameter.
Mathematical notation refers to a standardized set of symbols and conventions used to represent mathematical concepts, operations, relationships, and structures. The purpose of such notation is to allow mathematicians and students to communicate ideas clearly and concisely. Here are some key aspects of mathematical notation: 1. **Symbols**: Mathematical notation includes a variety of symbols that represent numbers, operations, relations, functions, and other elements.
Lie theory is a branch of mathematics that studies Lie groups and Lie algebras, which are foundational structures in various areas of mathematics and theoretical physics. Named after the Norwegian mathematician Sophus Lie, the theory originated in the study of continuous symmetries and their applications to differential equations and geometry.
Physics events refer to occurrences or phenomena that can be studied, analyzed, or measured within the field of physics. These events can take many forms and cover a wide range of topics, such as: 1. **Experimental Events**: These involve controlled experiments where physical laws can be tested, such as particle collisions in accelerators, measurements of gravitational waves, or observations of quantum phenomena.
Carreau fluid is a type of non-Newtonian fluid characterized by its shear-thinning behavior, which means its viscosity decreases with an increase in shear rate. This behavior is typically described by the Carreau model, which is a mathematical representation used to describe the flow behavior of such fluids. The Carreau model is especially useful for fluids that exhibit a transition between a more viscous state at low shear rates and a less viscous state at high shear rates.
Analytic philosophers are thinkers who engage in the analytic tradition of philosophy, which emphasizes clarity, logical analysis, and the use of formal techniques. This tradition emerged in the early 20th century, particularly in the Anglo-American philosophical context, and is associated with figures such as Bertrand Russell, Ludwig Wittgenstein, G.E. Moore, and later philosophers like W.V.O. Quine, Daniel Dennett, and Saul Kripke.
Ancient Greek physicists, often referred to as early natural philosophers, were thinkers and scholars in ancient Greece who sought to understand the nature of the physical world. They laid the foundations for various fields of study, including physics, astronomy, and cosmology, through a combination of observation, reasoning, and speculation. Some of the most notable figures include: 1. **Thales of Miletus (c.
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





