E. H. Moore refers to Edward Hawkes Moore, an influential American mathematician recognized for his contributions to various fields, particularly in topology and algebra. Born in 1862 and passing in 1932, Moore made significant advances in the area of abstract algebra and is known for formulating Moore spaces in topology, which are a class of topological spaces that have properties of both compactness and local compactness.
Elementary Number Theory, Group Theory, and Ramanujan Graphs are three distinct yet important topics in mathematics, particularly in the fields of number theory, algebra, and graph theory. Here's a brief overview of each: ### Elementary Number Theory Elementary number theory is a branch of mathematics that deals with the properties and relationships of numbers, particularly integers. It does not involve advanced mathematical tools such as calculus or abstract algebra.
The term "energy timelines" can refer to several concepts depending on the context in which it is used. Here are a few interpretations: 1. **Historical Energy Developments**: It could refer to a timeline of significant events in the history of energy production and consumption, such as the development of different energy sources (like coal, oil, natural gas, nuclear, and renewables) and key technological advancements (like the steam engine or solar panels).
Ernest Sosa is an American philosopher known primarily for his work in epistemology and related areas such as metaphysics and the philosophy of language. He is recognized for developing a form of epistemological contextualism, which posits that the standards for knowledge can vary depending on the context of the speaker and the nature of the inquiry.
Eugène Charles Catalan (1814–1894) was a Belgian mathematician and physicist known for his contributions to number theory, combinatorics, and the study of algebraic structures. He is particularly renowned for Catalan's conjecture (now known as Mihăilescu's theorem), which states that the only two consecutive perfect powers of natural numbers are \(8\) and \(9\) (i.e.
The experience modifier, often referred to as the "experience modification rate" (EMR), is a numerical value used primarily in workers' compensation insurance to assess an employer's claim history in relation to the industry average. It reflects the employer's past loss experience compared to similar businesses in the same industry. Here's how it works: 1. **Calculation**: The experience modifier is calculated based on the frequency and severity of workers' compensation claims an employer has had over a specific period, usually three years.
The Extra Element Theorem is a concept from the field of abstract algebra, particularly in group theory and related structures. While it might not be as widely known as other theorems, the term "Extra Element Theorem" typically refers to results involving the behavior of groups or rings when extending them by additional elements. One specific application can be found in the context of group theory, where it can relate to the structure of a group when an additional element is introduced.
"Government by algorithm" refers to the use of algorithmic decision-making and automated systems to manage or influence government processes, public policy, and the provision of public services. This approach can involve the use of data analysis, machine learning, artificial intelligence, and statistical models to make administrative decisions, allocate resources, or implement policies. ### Key Aspects of Government by Algorithm: 1. **Data-Driven Decision Making**: Governments collect vast amounts of data on citizens and societal trends.
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





