Hippocamp is a small moon of the planet Neptune. It was discovered in 2013 using data from the Hubble Space Telescope. Hippocamp is one of Neptune's lesser-known moons and is particularly interesting due to its unique characteristics. Hippocamp is about 34 kilometers (21 miles) in diameter and orbits Neptune at a distance of approximately 105,000 kilometers (about 65,000 miles).
The 46th meridian west is a line of longitude that is 46 degrees west of the Prime Meridian. It runs from the North Pole to the South Pole, passing through various countries and regions. In North America, it traverses parts of Canada and the eastern United States. In South America, it crosses countries like Brazil and touches the Atlantic Ocean.
The 45th meridian east is an imaginary line of longitude that is located 45 degrees east of the Prime Meridian, which is designated as 0 degrees longitude. This meridian runs from the North Pole to the South Pole, passing through several countries and regions along its path. In the northern hemisphere, the 45th meridian east crosses through parts of Russia, Kazakhstan, and several other countries.
Skoll is a moon of the planet Saturn. It is one of the many moons that orbit Saturn and is classified as a member of the Norse group of moons. Skoll is known for its irregular shape and is relatively small compared to some of Saturn's larger moons. It was discovered in the early 2000s and was named after a wolf from Norse mythology, specifically one that chases the sun.
Arity is a concept that refers to the number of arguments or operands that a function or operation takes. It's commonly used in mathematics and programming to describe how many inputs a function requires to produce an output. For example: - A function with an arity of 0 takes no arguments (often referred to as a constant function). - A function with an arity of 1 takes one argument (e.g., a unary function).
Physical phenomena refer to observable events or occurrences in the natural world that are governed by the laws of physics. These phenomena can be categorized into various types based on their characteristics and the physical principles that describe them. Examples of physical phenomena include: 1. **Motion**: The movement of objects, including concepts like velocity, acceleration, and momentum. 2. **Forces**: Interactions that cause changes in motion, such as gravitational, electromagnetic, and nuclear forces.
Classical probability density refers to a function that describes the likelihood of a continuous random variable taking on a specific value within a given range. It is a key concept in the field of probability and statistics, particularly in the context of continuous probability distributions. Here are some key points about classical probability density: 1. **Probability Density Function (PDF)**: The probability density function is the mathematical function that defines the probability density.
The term "covariance group" can refer to different contexts in mathematics and physics, often related to how certain structures behave under transformations. However, it is not a widely used or standardized term like "group theory" or "covariance" in statistics or relativity. In general, covariance is a measure of how two variables change together.
A physical object is anything that has a tangible presence and occupies space. This means that it has specific dimensions (length, width, height), mass, and is made of matter, which can be solid, liquid, or gas. Physical objects can be perceived through our senses, particularly sight and touch.
Quantum non-equilibrium refers to the state of a quantum system that is not in thermodynamic equilibrium. In thermodynamics, systems at equilibrium exhibit well-defined macroscopic properties, such as temperature and pressure, and statistical distributions of their internal states (like the Boltzmann distribution). In contrast, non-equilibrium systems display time-dependent behavior and can have spatial gradients in quantities such as temperature, chemical potential, and density.
Analytic philosophy is a tradition in Western philosophy that emphasizes clarity of expression, logical reasoning, and the use of formal logic to analyze philosophical problems. This approach emerged in the early 20th century, primarily in the English-speaking world, and is often contrasted with continental philosophy, which may focus more on historical context, existential themes, and subjective experience.
The Analytical Society was a group formed in the early 19th century, primarily in Britain, that aimed to promote the use and understanding of analytical methods in mathematics, particularly calculus. Founded in 1813, it was a response to the predominance of the traditional calculus taught in British universities, which was often based on the work of Newton rather than the more rigorous methods developed by mathematicians like Joseph-Louis Lagrange and Augustin-Louis Cauchy.
A tensor is a mathematical object that generalizes scalars, vectors, and matrices to higher dimensions. Tensors are used in various fields such as physics, engineering, and machine learning to represent data and relationships in a structured manner. ### Basic Definitions: 1. **Scalar**: A tensor of rank 0, which is a single number (e.g., temperature, mass).
Geometry is a branch of mathematics that deals with the properties, measurements, and relationships of points, lines, shapes, and spaces. It encompasses various aspects, including: 1. **Shapes and Figures**: Geometry examines both two-dimensional shapes (like triangles, circles, and rectangles) and three-dimensional objects (like spheres, cubes, and cylinders). 2. **Properties**: It studies properties of these shapes, such as area, perimeter, volume, angles, and symmetry.

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