In topology, a **covering space** is a topological space that "covers" another space in a specific, structured way. Formally, a covering space \( \tilde{X} \) of a space \( X \) is a space that satisfies the following conditions: 1. **Projection**: There is a continuous surjective map (called the covering map) \( p: \tilde{X} \to X \).
The Dehn function is a concept from geometric group theory that measures the difficulty of filling loops in a space with disks. More specifically, it is associated with a finitely presented group and examines how one can fill in the 2-dimensional surfaces (disk-like structures) associated with the relations of that group.
Discounted Maximum Loss (DML) is a financial metric used primarily in the context of investment analysis, risk management, and financial forecasting. It provides a way to estimate the worst-case scenario of losses that could be incurred over a specific period, taking into account the time value of money. Here’s a breakdown of the concept: 1. **Maximum Loss**: This is the total potential loss an investment could face under adverse conditions.
A dropped ceiling, also known as a suspended ceiling or grid ceiling, is a type of ceiling that is hung below the structural ceiling of a building. It consists of a framework made of metal grid or channels that are suspended from the ceiling rafters or joists. Lightweight ceiling tiles or panels are then placed into this grid. **Key features of dropped ceilings include:** 1.
Earth phenomena refer to natural processes and events that occur on Earth and are often characterized by their impact on the environment, weather, geology, and ecosystems. These phenomena can encompass a wide range of occurrences, including but not limited to: 1. **Weather Events**: Hurricanes, tornadoes, thunderstorms, heatwaves, and blizzards are examples of atmospheric phenomena that can have significant effects on the climate and human activities.
Effective Field Goal Percentage (eFG%) is a basketball statistic that measures a player's shooting efficiency by taking into account the value of three-point shots. It provides a more accurate reflection of a player's scoring ability compared to traditional field goal percentage, which treats all field goals equally. The formula for calculating eFG% is: \[ eFG\% = \frac{FG + 0.
Enterprise Risk Management (ERM) is a structured, consistent, and continuous process for identifying, assessing, managing, and monitoring risks that could potentially impact an organization’s ability to achieve its objectives. ERM encompasses various types of risks, including strategic, operational, financial, compliance, and reputational risks. Key components of ERM include: 1. **Risk Identification**: Recognizing potential risks that could affect the organization, including internal and external factors.
An "excellent ring" typically refers to a concept in the field of algebra, specifically in the area of commutative algebra and algebraic geometry. In these contexts, a ring is called **excellent** if it satisfies certain desirable properties that make it behave nicely with respect to various algebraic operations.
The Gorenstein-Harada theorem is a result in the field of algebraic geometry and commutative algebra, particularly concerning Gorenstein rings and Cohen-Macaulay modules. More specifically, the theorem provides conditions under which a local Cohen-Macaulay ring is Gorenstein.
Graham Oppy is a prominent Australian philosopher known for his work in the philosophy of religion, particularly related to theism and atheism. He has made significant contributions to discussions about the existence of God, the nature of belief, and the arguments for and against theism. Oppy is recognized for his critical analysis of classical arguments for God's existence, such as the cosmological, teleological, and moral arguments. He often emphasizes the importance of philosophical rigor and clarity in debates regarding religious beliefs.
Hillard Bell Huntington (1887–1968) was an American geographer, demographer, and historian known for his work in the field of human geography and for his contributions to the understanding of population distribution and migration patterns. He is particularly noted for his concept of "landscape" and the relationship between human activity and the environment. Huntington's work often explored the effects of climate and geography on societies, as well as cultural and ethnic influences on population dynamics.
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





