The Milnor–Moore theorem is a key result in the field of differential topology and algebraic topology, specifically concerning the structure of certain classes of smooth manifolds. Named after mathematicians John Milnor and John Moore, the theorem provides a characterization of the relationship between the algebra of smooth functions on a manifold and the algebra of its vector fields.
Milton Sobel is an American mathematician, best known for his work in the field of statistics, particularly in the area of survey sampling and the development of statistical methods. He is particularly noted for the Sobel test, a method used in statistics to assess the significance of mediation effects. This test is commonly used in social sciences research to determine whether the effect of an independent variable on a dependent variable is mediated by a third variable.
The Milwaukee Deep is a significant underwater feature located in the northern part of the Atlantic Ocean, specifically within the Caribbean Sea. It is part of the Puerto Rico Trench, which is the deepest point in the Atlantic Ocean and extends northeast of Puerto Rico. The Milwaukee Deep reaches depths of around 8,380 meters (approximately 27,493 feet), making it one of the deepest parts of the Atlantic Ocean.
Miodrag Petković is a name that could refer to different individuals, but one notable figure is a Serbian mathematician, particularly known for his work in functional analysis and related areas. He has made significant contributions to mathematical research and education.
Minimum Orbit Intersection Distance (MOID) is a measure used in astronomy to assess the potential for close encounters or collisions between celestial bodies, particularly asteroids and planets. MOID represents the shortest distance between the orbits of two celestial objects in space. The concept is particularly important for tracking near-Earth objects (NEOs) because it helps researchers understand the likelihood of these objects coming close to or possibly impacting Earth.
The Minoan Moulds of Palaikastro refer to a set of ancient ceramic molds discovered at the archaeological site of Palaikastro, located on the eastern coast of Crete, Greece. Palaikastro was an important Minoan settlement during the Late Bronze Age, and it is noted for its complex relationships in trade and culture within the Aegean region. These molds are significant because they provide insight into the Minoan ceramic production techniques and artistic styles.
In Belgium, there are several manufacturers known for producing model kits, particularly for scale models of vehicles, figures, and aircraft. Some notable manufacturers and companies involved in model production include: 1. **Revell Belgium** - A part of Revell, this company produces plastic model kits for various types of vehicles and aircraft. 2. **Heller** - While originally a French company, Heller has had connections and distribution in Belgium, and is known for its high-quality plastic model kits.
Model railway shows and exhibitions are events where enthusiasts gather to display, operate, and discuss model railroads and associated products. These events vary in size and scope and can include individual hobbyists, clubs, and commercial vendors. ### Key Features of Model Railway Shows and Exhibitions: 1. **Layouts and Displays**: Often, the main attraction is the detailed model railway layouts that participants build.
The modulus of convergence is a concept related to the convergence of sequences or series, particularly in the context of functional analysis or spaces of functions. It provides a measure of how 'strongly' a sequence converges. In the context of sequences of functions, particularly when dealing with normed vector spaces, the modulus of convergence helps to quantify the convergence of a sequence \((f_n)\) of functions to a function \(f\).
The monsoon trough is a significant weather phenomenon associated with the Asian monsoon system. It is essentially a low-pressure area that extends across the Indian subcontinent and parts of Southeast Asia, where the southwest monsoon winds meet the northeast trade winds. Key characteristics of the monsoon trough include: 1. **Location**: The monsoon trough typically lies approximately along the latitude of the Himalayas, but its position can vary and shift throughout the monsoon season.
Motivic cohomology is a concept in algebraic geometry and topology that generalizes classical cohomology theories to the framework of algebraic varieties. It is particularly influential in the study of algebraic cycles, motives, and the relationship between algebraic geometry and topology. ### Background Motivic cohomology was introduced in the context of the theory of motives, which aims to unify various cohomological approaches to algebraic varieties.
"Movie Star News" was a celebrity gossip magazine published in the United States. It first began circulating in the 1940s and focused on film stars, providing information about their personal lives, careers, and various happenings in the Hollywood scene. The publication often featured photographs and anecdotes about stars of the time, catering to an audience that was keen on keeping up with the lives of their favorite actors and actresses.
Muhyi al-Din al-Maghribi, often referred to simply as al-Maghribi, was a notable Islamic scholar and polymath from the medieval period, particularly associated with the field of mathematics and astronomy. His full name is more typically given as Muhyi al-Din Abu Abdullah al-Maghribi. He is particularly known for his contributions to the development of trigonometry and for his works in mathematics that bridge the Islamic and European scholarly traditions.
Muirfield Seamount is an underwater volcanic mountain located in the South Pacific Ocean. It is part of the larger chain of seamounts known as the New Zealand Seamounts and is situated northeast of the North Island of New Zealand. The seamounts are typically formed by volcanic activity and can rise significantly from the ocean floor.
A multibeam echosounder is a sophisticated sonar system used primarily for mapping the seafloor and underwater features. It emits multiple sonar beams simultaneously, allowing for the rapid collection of depth and bathymetric data across a wide swath of the seabed. Here are the key components and functions of a multibeam echosounder: ### Key Components: 1. **Transducer Array**: The core component that emits and receives sound waves.
Multiple realizability is a philosophical concept primarily discussed in the philosophy of mind and philosophy of science. It refers to the idea that a given mental state or property can be realized by multiple distinct physical states or systems. In other words, various physical configurations or processes across different types of substances can give rise to the same mental state.
A **multiplicative group** is a mathematical structure consisting of a set equipped with a binary operation that satisfies certain properties. Specifically, a multiplicative group is a set \( G \) along with a binary operation (commonly denoted as multiplication) that has the following characteristics: 1. **Closure**: For any two elements \( a, b \in G \), the result of the operation \( a \cdot b \) is also in \( G \).
As of my last update in October 2023, Nabeel Kassis does not appear to be a widely recognized public figure, term, or concept in major media or academic sources. It's possible that Nabeel Kassis could refer to a private individual, a lesser-known personality, or a topic that has gained prominence after my last update.
As of my last update in October 2021, I do not have specific information about an individual named Nancy L. Garcia. It's possible that she became notable after that date or may not be widely recognized in public databases available to me. If you provide more context about her or the field in which she is known (e.g., academia, politics, arts, etc.
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





