Plücker's conoid by Wikipedia Bot 0
Plücker's conoid is a geometric surface that arises in the study of differential geometry and mathematical surfaces. It is named after the German mathematician Julius Plücker, who explored various geometric properties in the 19th century. The Plücker's conoid is defined in the context of a curve in three-dimensional space. Specifically, it can be generated by taking a curve in the plane and rotating it around a line (called the axis of rotation) that lies in the same plane.
In geometry, a pyramid is a three-dimensional solid object with a polygonal base and triangular faces that converge at a single point known as the apex or vertex. The base can be any polygon, such as a triangle, square, or pentagon, making the pyramid's shape dependent on the type of base used. Here are some key characteristics of pyramids: 1. **Base**: The bottom face of the pyramid, which can be any polygon.
Right conoid by Wikipedia Bot 0
The right conoid is a type of geometric shape that falls under the category of conoids. A right conoid is characterized by its specific shape and structure. It is generated by rotating a straight line (or generating line) around a fixed axis while maintaining a constant distance from the axis, typically creating a three-dimensional surface. In more practical terms, the right conoid resembles a twisted or curved surface that has a specific axis of symmetry.
Serpentine shape by Wikipedia Bot 0
The term "serpentine" refers to a shape that is winding or snake-like. In various contexts, it can describe anything that has a series of smooth, curving lines or movements that resemble the way a snake moves. In design and architecture, a serpentine shape might be seen in the form of curved pathways, fluid furniture designs, or flowing architectural elements. In art, it can refer to lines or forms that twist and turn in a graceful, organic manner.
Squround by Wikipedia Bot 0
As of my last update in October 2023, "Squround" isn't a widely recognized term or concept in popular culture, technology, or business. It could potentially refer to a specific product, service, game, or a term relevant to a niche area not broadly covered in mainstream sources.
Surface by Wikipedia Bot 0
"Surface" can refer to several different things depending on the context: 1. **General Definition**: In common terms, the surface of an object is the outermost layer or boundary that can be seen or touched. It can refer to any kind of physical surface, such as the surface of a table, water, or the skin of a fruit. 2. **Physics and Mathematics**: In these fields, a surface is often described as a two-dimensional manifold.
Optical space by Wikipedia Bot 0
"Optical space" can refer to a couple of concepts depending on the context in which it is used. Here are two common interpretations: 1. **Optical Space in Physics and Optics**: In physics, particularly in optics, "optical space" typically refers to the region where light propagates or interacts with various media. This includes the areas where light rays travel, where optical phenomena such as refraction, reflection, and diffraction occur.
Trilon by Wikipedia Bot 0
"Trilon" can refer to different things depending on the context, but one common interpretation is as a brand name for certain chemical compounds. Specifically, Trilon is often associated with "Trilon B," which is a chelating agent known as sodium diethylenetriaminepentaacetate (DTPA). DTPA is used in various applications, including: 1. **Chemical Processing**: Acts as a chelating agent to bind metal ions in solutions.
Wallis's conical edge refers to a concept in the context of the theory of conic sections and geometry, particularly as it relates to the work of the mathematician John Wallis. However, Wallis is primarily known for his contributions to calculus and the Wallis product for π. In mathematics, the term "conical edge" itself does not refer to a widely recognized concept.
Whorl by Wikipedia Bot 0
The term "whorl" can refer to a few different concepts, depending on the context: 1. **Biology**: In botanical terms, a whorl refers to a circular arrangement of leaves, flowers, or other plant organs around a single stem at the same level. For example, if you see multiple leaves growing in a circle around a stem, that is called a whorl.
Parallax by Wikipedia Bot 0
Parallax is an effect that describes the apparent shift in the position of an object when viewed from different angles or perspectives. This phenomenon occurs because our viewpoint changes, allowing us to see different aspects of an object. In astronomy, parallax is used to determine the distance of stars and other celestial objects. By observing a star from two different points in Earth's orbit around the Sun (typically six months apart), astronomers can measure the angle of apparent shift against more distant background stars.
Brewster's angle by Wikipedia Bot 0
Brewster's angle, also known as the polarization angle, is the angle of incidence at which light with a particular polarization is perfectly transmitted through a transparent dielectric surface, with no reflection. At this angle, the reflected light is completely polarized perpendicular to the plane of incidence. Mathematically, Brewster's angle (θ_B) can be determined using the refractive indices of the two media involved.
In optics, cardinal points refer to specific points in an optical system, such as a lens or a mirror, that are important for describing the behavior of light as it passes through the system. These points include: 1. **Focal Points**: - **Focal Point (F)**: The point where parallel rays of light converge after passing through a converging lens (or mirror).
Infinity focus by Wikipedia Bot 0
Infinity focus, often referred to in photography and optics, is a setting on a lens that allows the camera to focus on subjects that are at a very great distance from the lens, effectively at "infinity." This means that the depth of field is extended, allowing objects that are far away to appear sharp and clear in the resulting images.
The term "Lagrange invariant" usually refers to an invariant associated with a system in the context of classical mechanics and, more specifically, within the framework of Lagrangian mechanics. Invariant quantities are those that remain unchanged under certain transformations.
Defocus aberration is an optical distortion that occurs when light rays entering a lens do not converge at the intended focal point. This aberration typically results in images that appear blurred. It is primarily caused by the positioning of the lens relative to the image sensor or film plane, which can be affected by factors such as: 1. **Incorrect Focus**: If the subject is not perfectly in focus, the light rays will fail to converge at the correct point, leading to blurriness.
Distortion by Wikipedia Bot 0
Distortion can refer to various concepts depending on the context in which it is used. Here are a few common meanings: 1. **Physics and Engineering**: In these fields, distortion generally refers to the alteration of the original shape or characteristics of an object or signal. For example, in mechanics, it can refer to the deformation of materials under stress, and in signal processing, it can refer to variations in sound waves or electronic signals that prevent them from accurately representing the original input.
Encircled energy by Wikipedia Bot 0
Encircled energy (EE) is a concept used primarily in the fields of optics and photonics, particularly in the context of fiber optics and imaging systems. It measures the amount of light energy that is contained within a certain radius around the center of a beam or distribution. Essentially, it provides a way to quantify how much of the emitted light is contained within a defined area, which is critical for evaluating the performance of optical systems.
Optical lens design is the process of creating and optimizing lenses to control the behavior of light in various applications, including photography, microscopy, eyeglasses, telescopes, and various optical instruments. The goal of optical lens design is to efficiently focus, redirect, or manipulate light to achieve specific visual or optical outcomes.
An extended hemispherical lens is an optical device characterized by a hemispherical shape, extended beyond a standard hemisphere. This type of lens can be used for a variety of applications in optics, including light collection and distribution, imaging systems, and sensor technologies. ### Key Features and Characteristics: 1. **Shape**: The lens has a hemispherical structure, which means it is half of a sphere. The "extended" aspect often refers to either a larger size or additional features that enhance its optical properties.

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