A glossary of areas of mathematics serves as a reference for various fields or branches that make up the broader discipline of mathematics. Here’s an overview of some key areas: 1. **Arithmetic**: The study of numbers and basic operations including addition, subtraction, multiplication, and division. 2. **Algebra**: A branch focused on symbols and the rules for manipulating those symbols; includes subfields such as linear algebra, abstract algebra, and Boolean algebra.
An Electrically Scanning Microwave Radiometer (ESMR) is a type of remote sensing instrument used primarily for measuring microwave radiation emitted from various surfaces, including the Earth's atmosphere, ocean, and land. These radiometers operate in the microwave frequency range, which is typically between 1 GHz and 100 GHz, capturing data that can be used to derive important environmental parameters.
Ellipsis refers to the omission of one or more words in a sentence, which can help avoid repetition and maintain flow in language. It is a linguistic tool used in both written and spoken forms. For example, in conversation, if someone asks, "Want to go to the park?" and the response is simply "Sure," the speaker omits "I want to go to the park" in their response. In writing, ellipsis is also represented by three consecutive dots (...
The equivalent dumping coefficient is a concept often used in the study of dynamic systems, particularly in fields like mechanical engineering, civil engineering, and control theory. It is a measure of how a system dissipates energy over time, particularly in oscillatory systems such as damped harmonic oscillators. In the context of structural and mechanical systems, the damping coefficient is a parameter that quantifies the amount of damping present in the system. It influences how quickly a system returns to equilibrium after being disturbed.
The "Index of logic articles" typically refers to a curated list or collection of articles, papers, or publications focused on the field of logic. This can include various subfields such as mathematical logic, philosophical logic, computational logic, and formal logic, among others. Such an index might be found on academic websites, repositories, or in scholarly journals dedicated to logic and mathematics. It can serve as a resource for researchers, students, and anyone interested in exploring topics in logic.
Skip counting is a mathematical technique in which you count forward or backward by a specific number instead of by one. This method is often used to help learners understand the concept of multiples and to facilitate quicker calculations. For example, skip counting by: - **2s:** 2, 4, 6, 8, 10, 12, ... - **3s:** 3, 6, 9, 12, 15, ...
In classical mechanics, various equations describe the motion and behavior of objects under the influence of forces. Here’s a list of fundamental equations and concepts commonly encountered: ### Newton's Laws of Motion 1. **First Law (Inertia)**: An object at rest stays at rest, and an object in motion stays in motion with the same velocity unless acted upon by a net external force.
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





