"The Darkest Hour" is a 2011 science fiction thriller film directed by Chris Gorak. The movie is set in Moscow, where a group of young American tourists find themselves stranded in the city after a mysterious alien invasion. These extraterrestrial beings are invisible and can kill humans with a touch, creating a tense and suspenseful atmosphere throughout the film.
As of my last knowledge update in October 2021, there isn't any widely recognized figure or topic specifically known as "Rajesh Maingi." He may be a private individual, or his relevance could have emerged after that date. If you have additional context or details about who he is or the area you are referring to (e.g.
The André plane, also known as the André–Tamagawa plane, is a concept in algebraic geometry that arises in the context of p-adic geometry and the study of rational points on algebraic varieties. It was introduced by the mathematician Yves André as part of his work on the geometry of numbers and the theory of motives.
The Darcy number (\(Da\)) is a dimensionless number used in the study of fluid flow through porous media. It quantifies the ratio of the permeability of the porous medium to the square of the characteristic length scale, which is often related to the size of the pores.
The Eckert number (Ec) is a dimensionless quantity used in fluid mechanics and heat transfer to characterize the relative importance of thermal energy storage to the convective heat transfer in a flowing fluid. It is defined as the ratio of kinetic energy to thermal energy associated with the temperature changes in the fluid.
As of my last knowledge update in October 2023, "Paul Mahlo" does not appear to refer to any widely recognized concept, individual, or term. It's possible that it could be a misspelling or a relatively obscure reference. If you meant something specific or if it pertains to a recent event, trend, or figure that emerged after October 2023, I would not have that information.
Telephone directory publishing companies are businesses that produce and distribute telephone directories, which are reference books or online platforms containing a list of telephone subscribers and their contact information, such as names, addresses, and phone numbers. Traditionally, these directories were published in printed format and distributed to households and businesses, but with the rise of digital technology, many directories are now available online.
Dial-a-Joke is a service that allows individuals to call a specific telephone number to hear a recorded joke. These services became popular in the 1970s and 1980s, and they provided users with a quick and easy way to enjoy a laugh, often featuring a selection of different jokes or a new joke each day. Some Dial-a-Joke services were operated by individuals, while others were structured as businesses.
E.161 is a standard developed by the International Telecommunication Union (ITU) that specifies a numbering scheme for telephone keypads. It defines how to represent alphanumeric characters on the 12-key telephone keypad layout commonly found on mobile phones and other telecommunication devices. In the E.161 scheme, each number key is associated with a set of letters, enabling users to input text through the numeric keypad.
The conventions for writing telephone numbers can vary by country, but there are some common formats that are widely recognized. Here are some general guidelines for writing telephone numbers: ### 1. **Country Codes**: - When writing international telephone numbers, include the country code, prefixed by a plus sign (+) or double zero (00). - Example: +1 for the United States, +44 for the United Kingdom. ### 2.
The North American Numbering Council (NANC) is a federal advisory committee in the United States that provides recommendations to the Federal Communications Commission (FCC) regarding the management of telephone numbering, including the North American numbering plan (NANP). Established in 1995, the NANC's primary role is to ensure the efficient use of telephone numbers, promote competition, and facilitate the implementation of numbering-related policies.
A telephone keypad is an input device typically found on telephones and various communication devices, used for dialing phone numbers and accessing functions within the phone system. The keypad is usually arranged in a grid format and consists of buttons or keys that are labeled with numbers and, in some cases, letters and special characters. The standard layout for a telephone keypad includes: - **Number keys (0-9):** These keys are used for dialing numbers.
Telephone numbers in Oceania vary by country and region, but they typically follow a specific format. Here are some general details: 1. **Country Codes**: Each country in Oceania has its own telephone country code. For instance: - Australia: +61 - New Zealand: +64 - Papua New Guinea: +675 - Fiji: +679 - Samoa: +685 - Tonga: +676 2.
Three Men's Morris is a traditional strategy board game for two players. It's a simple variation of the more complex game of Nine Men's Morris. The objective of the game is to form a line of three pieces (or "men") of one's own color either horizontally or vertically on a 3x3 grid. ### Rules of Three Men's Morris: 1. **Setup:** - The game is played on a 3x3 grid.
The Ornstein isomorphism theorem is a result in the theory of dynamical systems, particularly in the context of ergodic theory. Named after the mathematician Donald Ornstein, it deals with the classification of measure-preserving transformations. The theorem states that any two ergodic measure-preserving systems that have the same entropy are isomorphic.
The Artin L-function is a generalization of the classical Riemann zeta function and is an important object in number theory and arithmetic geometry, particularly in the context of class field theory and algebraic number theory. It is associated with a representations of a Galois group, collections of characters, and the study of L-functions in the context of number fields. ### Definition 1.
Intensive and extensive properties are classifications of physical properties of matter that help in understanding the behavior and characteristics of different substances. Here's a brief overview of each: ### Intensive Properties Intensive properties are those that do not depend on the amount of substance present. These properties are intrinsic to the material and are characteristic of the substance itself. Some common examples include: - **Temperature**: The temperature of a substance does not change regardless of the size of the sample.
The Gan–Gross–Prasad conjecture is a conjecture in the realm of number theory and representation theory, specifically concerning the theory of automorphic forms and nilpotent orbits. Formulated by W. T. Gan, B. Gross, and D. Prasad in the early 2000s, the conjecture relates to the behavior of certain L-functions associated with automorphic representations of groups and has implications for the study of the branching laws of representations.

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!
We have two killer features:
  1. 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-calculus
    Articles 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/derivative
  2. 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.
    Figure 2.
    You can publish local OurBigBook lightweight markup files to either https://OurBigBook.com or as a static website
    .
    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.
  3. https://raw.githubusercontent.com/ourbigbook/ourbigbook-media/master/feature/x/hilbert-space-arrow.png
  4. Infinitely deep tables of contents:
    Figure 6.
    Dynamic article tree with infinitely deep table of contents
    .
    Descendant pages can also show up as toplevel e.g.: ourbigbook.com/cirosantilli/chordate-subclade
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