George William Hill (1838-1914) was a prominent British astronomer and mathematician known for his work in celestial mechanics. He is best known for the development of the Hill equations and contributions to the stability of the moon's motion among celestial bodies. His work laid important groundwork for the study of the motion of satellites and the mathematical principles governing their orbits.
The 3rd meridian east is a line of longitude that is situated 3 degrees east of the Prime Meridian, which is defined as 0 degrees longitude and runs through Greenwich, London, United Kingdom. The 3rd meridian east runs from the North Pole to the South Pole, traversing various countries and regions. In Europe, it passes through parts of countries such as Germany and Italy, while in Africa, it crosses through countries like Libya and Tanzania.
The 54th meridian west is a line of longitude located 54 degrees west of the Prime Meridian, which runs through Greenwich, London. Like all lines of longitude, the 54th meridian west runs from the North Pole to the South Pole. This meridian passes through several regions, including parts of eastern Canada, various islands in the Atlantic Ocean, and the eastern coast of South America, specifically through countries like Argentina and Brazil.
The term "560 mm artillery" typically refers to a category of very large caliber artillery pieces, specifically those with a barrel diameter of 560 millimeters. This size of artillery is rarely used in conventional military operations and is generally reserved for specific applications such as siege artillery or coastal defense. One notable example of 560 mm artillery is the Japanese "Type 5 560 mm howitzer," which was developed during World War II.
The 61st meridian east is a line of longitude that is 61 degrees east of the Prime Meridian, which is located at 0 degrees longitude. It runs from the North Pole to the South Pole, passing through various countries. In terms of geography, the 61st meridian east passes through parts of Russia, particularly Siberia, and also crosses through Kazakhstan and several other regions. This meridian is often used in various fields including geography, navigation, and timekeeping.
The 63rd meridian west is a line of longitude that is 63 degrees west of the Prime Meridian, which runs through Greenwich, London. This meridian runs from the North Pole to the South Pole, passing through various countries in the Northern Hemisphere, including parts of Canada and the United States, and then extending into the Southern Hemisphere, where it crosses through parts of South America. In Canada, it traverses areas in Newfoundland and Labrador.
The Riemann–Lebesgue lemma is a fundamental result in Fourier analysis, dealing with the behavior of the Fourier coefficients of integrable functions. It asserts that if \( f \) is an integrable function on the real line (or on a finite interval), then the Fourier coefficients of \( f \) tend to zero as the frequency goes to infinity.
The number 75 is a whole number that follows 74 and precedes 76. It can be used in various contexts such as mathematics, measurement, and more. In terms of mathematics, 75 is an integer that can be expressed in different forms: - **Prime Factors**: 75 can be factored into prime numbers as \(3 \times 5^2\). - **Even or Odd**: 75 is an odd number.
Functional neuroimaging is a set of techniques used to visualize and measure brain activity by detecting changes associated with blood flow. It provides insights into the brain's functioning, allowing researchers and clinicians to study how different areas of the brain activate in response to various tasks, stimuli, or conditions. Common methods of functional neuroimaging include: 1. **Functional Magnetic Resonance Imaging (fMRI)**: This technique measures brain activity by detecting changes in blood oxygenation levels.
The Function Field Sieve (FFS) is an algorithm used for factoring large integers, particularly those that are difficult to factor with classical methods. It extends the ideas of the number field sieve (NFS), which is currently one of the most efficient known methods for factoring large composite numbers, especially those with large prime factors.
Abel Klein is a prominent figure in the field of mathematics, particularly known for his contributions to functional analysis and harmonic analysis. He has made significant impacts through his research and studies, but there may be multiple individuals with the same name.
The Abraham–Minkowski controversy refers to a longstanding debate in theoretical physics regarding the momentum of light in a medium and the way that electromagnetic waves interact with matter. Specifically, it revolves around two competing formulations for the momentum of light in a dielectric medium, attributed to physicists Max Abraham and Hermann Minkowski, both of whom derived different expressions for the momentum of photons in a medium.
Absolute continuity is a concept from real analysis that extends the idea of continuity and provides a stronger form of integration. A function \( f \) defined on an interval \([a, b]\) is said to be absolutely continuous if it satisfies the following criteria: 1. **Existence of a Derivative**: For almost every point \( x \in [a, b] \), the function \( f \) has a derivative \( f'(x) \).
Abstract Data Types (ADTs) are a theoretical concept in computer science used to define data types purely in terms of their behavior from the point of view of a user of the software, independently of how they are implemented. An ADT specifies the operations that can be performed on the data and the mathematical properties of those operations, without detailing the implementation of these operations.
An abstract machine is a theoretical model that describes the behavior of a computing system in a way that abstracts away from the specifics of the hardware or implementation details. It defines a set of rules and states that can be used to simulate the computational process. Abstract machines are often employed in computer science to understand, analyze, and design programming languages, algorithms, and computational models.
Plesiotherapy is a form of treatment that involves the use of plethysmography, which is a technique for measuring changes in volume within an organ or whole body, often related to the movement of fluids or air. This technique is often used in various medical fields to assess vascular function, respiratory health, or the general circulatory system. Plethysmography can be applied in different contexts, such as measuring blood flow in limbs, evaluating lung function, or assessing body composition.
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





