Computable analysis is a branch of mathematical analysis that focuses on the study of computable functions and their properties, particularly in the context of real numbers and more general spaces such as metric spaces and topological spaces. As a subfield of theoretical computer science and mathematical logic, it connects the areas of computation and analysis. Key concepts in computable analysis include: 1. **Computable Functions**: Functions that can be computed by a finite algorithm in a stepwise manner.
"Die Another Day" is the 20th film in the James Bond series, released in 2002. It stars Pierce Brosnan in his fourth outing as the iconic British secret agent, James Bond. The film was directed by Lee Tamahori and features a plot that revolves around Bond's actions after being betrayed during a mission in North Korea.
"Ghost in the Shell" is a live-action science fiction film released in 2017, directed by Rupert Sanders. It is based on the Japanese manga of the same name created by Masamune Shirow, which previously inspired an acclaimed animated film in 1995 and several other adaptations. The story is set in a near-future, cyberpunk world where technology and the human body can be augmented with cybernetic enhancements.
"It Follows" is a 2014 horror film directed by David Robert Mitchell. The film centers around a young woman named Jay (played by Maika Monroe) who, after a sexual encounter with her boyfriend, finds herself pursued by a supernatural entity. This entity can take the form of different people and is relentless in its pursuit.
"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.
The Ekman number (Ek) is a dimensionless quantity in fluid dynamics that characterizes the relative importance of the viscous forces to the Coriolis forces in a rotating fluid system.
In the context of aircraft navigation and aerodynamics, the term "F-plane" refers to a specific type of reference plane used in flight dynamics and control theory. It is typically part of the formulation of aircraft equations of motion. The F-plane is aligned with the flight path of the aircraft and is used to analyze how the aircraft responds to various forces and moments during flight.
Flow meter error refers to the discrepancy between the measured flow rate as indicated by a flow meter and the actual flow rate of a fluid passing through the meter. This error can arise from various factors, including: 1. **Calibration Error**: If the flow meter is not properly calibrated, it may provide inaccurate readings. Regular calibration is necessary to ensure accuracy. 2. **Installation Effects**: Poor installation can lead to errors.
Free molecular flow refers to a regime of gas flow where the mean free path of gas molecules is much larger than the characteristic dimensions of the system through which the gas is flowing. In this condition, gas molecules travel between collisions without interacting with other molecules, often behaving as if they are in a vacuum. ### Key Characteristics of Free Molecular Flow: 1. **Mean Free Path**: This is the average distance a molecule travels between successive collisions.
The Haynes similitude principle, often referred to simply as "similitude," is a concept used primarily in fluid dynamics and related fields. It is a method that allows engineers and scientists to predict the behavior of one fluid system based on the behavior of another fluid system that is similar in certain respects. The principle is based on the idea that certain dimensionless parameters can be used to create relationships between different systems.
Rana X. Adhikari is a physicist known for his work in the fields of gravitational physics and astrophysics. He has contributed to research on gravitational waves, the study of black holes, and the dynamics of complex systems in astrophysics. Adhikari is also associated with institutions focusing on experimental physics, including work related to the Laser Interferometer Gravitational-Wave Observatory (LIGO).
The Marker-and-Cell (MAC) method is a numerical technique used to solve fluid dynamics problems, particularly for simulating incompressible flows. It was developed in the early 1970s and is widely applied in computational fluid dynamics (CFD) due to its effectiveness in handling complex boundary conditions.
The Okubo–Weiss parameter is a measure used in fluid dynamics, particularly in the study of turbulent flows, to analyze the stability and behavior of vortical structures in fluid motion. It helps to distinguish between different types of fluid flow by quantifying the balance between strain and rotation in the flow field.
Patch dynamics is a concept that arises in various fields, including physics, ecology, and systems biology. In the context of physics, it often pertains to the study of dynamic systems that can be modeled as composed of distinct "patches" or regions, each of which can have different properties or behaviors while interacting with one another.

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