Specific angular momentum is a physical quantity that represents the angular momentum of an object per unit mass. It is commonly denoted by the symbol \( h \) or \( \mathbf{l} \), depending on the context. Specific angular momentum is useful in orbital mechanics and dynamics to analyze the motion of bodies in gravitational fields, such as planets, satellites, and spacecraft.
Bulk density by Wikipedia Bot 0
Bulk density is a measure of the mass of a material per unit volume, including the space occupied by the particles themselves as well as the voids or spaces between them. It is typically expressed in units such as grams per cubic centimeter (g/cm³) or kilograms per cubic meter (kg/m³). Bulk density is an important property in various fields, including soil science, material science, and the transport and storage of granular materials.
A **characteristic property** is a chemical or physical property that is unique to a particular substance and can be used to help identify it. Unlike properties that may change depending on the amount of the substance or its state, characteristic properties remain consistent regardless of the sample size or conditions, providing a reliable means of identification. Examples of characteristic properties include: 1. **Density**: The mass per unit volume of a substance. Each material has a specific density that can help in identification.
The conductance quantum is a fundamental physical constant that represents the quantized unit of electrical conductance. It is denoted by \( G_0 \) and defined as: \[ G_0 = \frac{2e^2}{h} \] where: - \( e \) is the elementary charge, approximately \( 1.602 \times 10^{-19} \) coulombs, - \( h \) is Planck's constant, approximately \( 6.
Critical Relative Humidity (CRH) is a concept primarily used in the fields of materials science, environmental science, and meteorology. It refers to a specific level of relative humidity at which certain physical or chemical processes occur dramatically or exhibit critical changes. This can apply to a variety of contexts, such as: 1. **Hygroscopic Materials**: For materials that absorb moisture from the air, the CRH is the humidity level above which they begin to take up water significantly.
Delta-v (physics) by Wikipedia Bot 0
Delta-v (Δv) is a term used in physics and astrodynamics to describe a change in velocity. It quantifies the amount of effort needed to change an object's velocity and is often associated with space travel and spacecraft maneuvering. Delta-v is crucial for missions that involve changing orbits, escaping gravitational fields, or executing course corrections.
Cylinder by Wikipedia Bot 0
A cylinder is a three-dimensional geometric shape characterized by its two parallel circular bases connected by a curved surface at a fixed distance from the center of the bases. Here are some key characteristics of a cylinder: 1. **Bases**: A cylinder has two circular bases that are congruent (the same size and shape) and parallel to each other. 2. **Height**: The height (h) of a cylinder is the perpendicular distance between the two bases.
Hendecagon by Wikipedia Bot 0
A hendecagon, also known as an undecagon, is a polygon with eleven sides and eleven angles. The term comes from the Greek words "hendeca," meaning eleven, and "gonia," meaning angle. In geometry, each interior angle of a regular hendecagon (where all sides and angles are equal) measures approximately 147.27 degrees, and the sum of the interior angles of a hendecagon is 1620 degrees.
Hexagon by Wikipedia Bot 0
The term "hexagon" can refer to a couple of different concepts depending on the context: 1. **Geometric Shape**: A hexagon is a polygon with six sides and six angles. In a regular hexagon, all sides are of equal length and all interior angles are equal, measuring 120 degrees each. The shape can be found in various natural and man-made structures, such as honeycomb patterns in beehives.
Rhombus by Wikipedia Bot 0
A rhombus is a type of quadrilateral, which means it is a four-sided polygon. It is characterized by having all four sides of equal length. The main properties of a rhombus include: 1. **Equal Side Lengths**: All four sides of a rhombus are of equal length. 2. **Opposite Angles**: The opposite angles of a rhombus are equal.
Euclidean tilings by Wikipedia Bot 0
Euclidean tilings, or tiling of the Euclidean plane, involve the covering of a flat surface using one or more geometric shapes, called tiles, with no overlaps or gaps. In mathematical terms, they can be described as arrangements of shapes in such a manner that they fill the entire plane without any voids or overlaps.
65537-gon by Wikipedia Bot 0
A 65537-gon is a polygon that has 65,537 sides. The term can also refer specifically to an interesting mathematical property of polygons in relation to constructible polygons.
Dinostratus' theorem is a principle in geometry related to the concept of inscribed polygons. Specifically, the theorem concerns the relation of polygons inscribed within a circle and the calculation of areas. While the specifics of Dinostratus' theorem are not as widely discussed or cited in modern texts, it is often associated with the ancient Greek mathematician Dinostratus, who is known for his work on geometric constructions, particularly in relation to circles.
Euclidean tilings by convex regular polygons refer to a type of tiling (or tessellation) of the plane in which the entire plane is covered using one or more types of convex regular polygons without overlaps and without leaving any gaps. A convex regular polygon is a polygon that is both convex (all interior angles are less than 180 degrees) and regular (all sides and angles are equal).
Geometrography by Wikipedia Bot 0
Geometrography is a term that isn't widely recognized in established academic or scientific literature, which may lead to variations in interpretation. It seems to combine elements of geometry and geography, possibly referring to the study or representation of geometric aspects within geographical contexts, such as mapping spatial relationships, analyzing geographical data through geometric frameworks, or exploring the geometric properties of landforms and geographical features.
"Napoleon's problem" typically refers to a well-known geometrical problem in mathematics, specifically in the context of triangle geometry.
Polygon by Wikipedia Bot 0
Polygon is a protocol and framework for building and connecting Ethereum-compatible blockchain networks. It seeks to address some of the scalability issues faced by the Ethereum network by enabling the creation of Layer 2 scaling solutions. Originally known as Matic Network, it rebranded to Polygon in early 2021.
A special right triangle is a type of right triangle that has specific, well-defined angle measures and side lengths that can be derived from simple ratios. There are two primary types of special right triangles: 1. **45-45-90 Triangle**: - This triangle has two angles measuring 45 degrees and one right angle (90 degrees). - The sides opposite the 45-degree angles are of equal length.

Pinned article: ourbigbook/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 5. . 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.
  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