The term "strict" can refer to different concepts depending on the context in which it is used. Here are a few possible interpretations: 1. **General Definition**: In everyday language, "strict" typically refers to someone or something that is firm and demanding in terms of rules or standards. For example, a strict teacher may have high expectations for student behavior and performance.
A lemma is a statement or proposition that is proven for the purpose of helping to prove a larger theorem or result. In mathematics and logic, lemmas are intermediate steps that aid in establishing the validity of other statements. They are often used to break down complex proofs into more manageable parts, making the overall argument clearer and easier to follow. In linguistics, "lemmas" refer to the canonical or base form of a word, which represents all its inflected forms.
Computer algebra, also known as symbolic computation or algebraic computation, refers to the study and development of algorithms and software that perform algebraic manipulations in a symbolic rather than numeric form. This field allows for the manipulation of mathematical expressions, solving equations, and performing other algebraic tasks using symbols rather than numerical approximations.
Series expansions are mathematical representations of functions as infinite sums of terms, where each term is calculated from the function's derivatives at a specific point. These expansions allow functions to be approximated or expressed in a more convenient form for analysis, computation, or theoretical work. There are several types of series expansions, but the most common ones include: 1. **Taylor Series**: This representation expands a function \( f(x) \) around a point \( a \) using derivatives at that point.
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





