The material dispersion coefficient is a key parameter in the field of optics and fiber optics that quantifies how much different wavelengths of light travel at different speeds through a material. This phenomenon occurs because the refractive index of a material changes with the wavelength of light, causing various wavelengths to experience different propagation velocities. In optical fibers, material dispersion contributes to pulse broadening as light pulses travel down the fiber.
"My Wife and My Mother-in-Law" is a popular puzzle or riddle that often centers around a family relationship conundrum. The typical scenario presented involves a man who is trying to navigate a situation involving both his wife and his mother-in-law, often highlighting the humorous or tricky aspects of family dynamics. In some variations, the puzzle may involve a similar scenario regarding relationships, drawing attention to the complexities and potential conflicts between the two women in the man's life.
Neurophotonics is an interdisciplinary field that combines principles from neuroscience, photonics, and imaging technology to study and manipulate neural activity using light. This field uses various optical techniques to examine the structure and function of the nervous system at various scales, from single cells to entire neural circuits.
OD600, or optical density at 600 nanometers, is a measurement used primarily in microbiology to estimate the concentration of cells in a liquid culture. The optical density is measured using a spectrophotometer, which directs light at a wavelength of 600 nm through a sample. The degree to which the light is absorbed or scattered by the cells in the culture is then quantified as optical density.
Optical materials are substances that have specific properties that make them suitable for manipulating light. These materials are essential in the fields of optics, photonics, and various applications ranging from lenses and mirrors to optical fibers and lasers. The characteristics of optical materials include their ability to transmit, reflect, absorb, or refract light, as well as their optical clarity and refractive indices. **Common Types of Optical Materials:** 1.
A polychromator is an optical device used to separate and analyze light into its component wavelengths or colors. It works by dispersing incoming light into a spectrum, which can then be measured or analyzed for various applications in fields such as spectroscopy, astronomy, and metrology. Polychromators typically utilize diffraction gratings, prisms, or filters to achieve this dispersion.
An optical variable device (OVD) is a security feature used to prevent counterfeiting, commonly found in banknotes, identification cards, and other important documents. OVDs are designed to display different visual characteristics when viewed from various angles. This can include changes in color, images, or patterns, which make it difficult for counterfeiters to replicate the sophisticated printing techniques needed to produce them.
Sum-frequency generation (SFG) is a nonlinear optical process in which two photons with different frequencies interact within a nonlinear medium to produce a new photon with a frequency that is the sum of the two original frequencies. This process is based on the principle of nonlinear optics, where the polarization of a medium becomes dependent on the intensity of the electric field.
A zero-mode waveguide (ZMW) is a type of optical structure used primarily in the field of nanophotonics, particularly for the study of single-molecule interactions and fluorescence microscopy. The concept is often applied within the context of techniques such as single-molecule spectroscopy.
A power-law index profile refers to a mathematical representation that describes how a certain variable decreases or increases according to a power law. In many contexts, particularly in physics, biology, and network theory, power-law distributions are observed, where events or quantities exhibit a relationship characterized by a small number of occurrences of high magnitude and a large number of occurrences of low magnitude.
A stauroscope is an optical instrument used in geology and mineralogy to study the optical properties of minerals and rocks. It measures the extinction angles and enables the examination of the birefringence of minerals. By using polarized light, a stauroscope helps geologists and mineralogists to identify minerals based on their optical characteristics, such as color, pleochroism, and interference colors.
A "transparency meter" typically refers to a tool or system used to assess and measure the level of transparency in an organization, government, or system. It can encompass various aspects, such as the accessibility of information, clarity of processes, and openness of decision-making.
In optics, a "sagitta" (or "sagittal") refers to the distance from the highest point of a lens or mirror to the surface of the optical device at the center. This measurement is particularly important in the design and analysis of lenses and mirrors, as it helps to determine the curvature of the lens or mirror surface.
Scanning electron cryomicroscopy (cryo-SEM) is a powerful imaging technique that combines the principles of scanning electron microscopy (SEM) with cryogenic (low-temperature) preservation methods to analyze biological samples at extremely high resolutions. This method allows researchers to visualize the ultrastructure of samples while maintaining their native state, which is particularly important for biological specimens that can be sensitive to environmental conditions.
A secondary mirror is a crucial component found in certain types of optical telescopes, particularly reflecting telescopes. Its primary function is to direct light collected by the primary mirror towards the eyepiece or camera. Here's a more detailed overview of its role and significance: 1. **Function**: The secondary mirror reflects the light that comes from the primary mirror toward the focal point where the image is formed. This redirection allows observers to view or photograph astronomical objects.
A teleidoscope is a variation of a kaleidoscope that allows for the observation of real-time images instead of just abstract patterns. While traditional kaleidoscopes create colorful patterns using colored glass or beads inside the tube, a teleidoscope typically has a clear lens or opening at one end, which captures and reflects the surrounding environment.
A triplet lens is a type of optical lens system that consists of three individual lens elements arranged in a specific configuration. This arrangement is designed to reduce optical aberrations, such as chromatic aberration and spherical aberration, which can distort images. The three lenses typically include two convex lenses and one concave lens. The convex lenses help to converge light rays, while the concave lens counters some of the aberrations introduced by the convex lenses.
Paper football is a simple tabletop game typically played by two players using a small folded paper triangular "football." The objective of the game is to score points by flicking the paper football across a playing surface (usually a table) and trying to get it to land in an end zone or on a goalpost that is represented by players' fingers or other markers. ### Basic Rules of Paper Football: 1. **Setup**: Players sit opposite each other.
The Game Theory Society is an organization that promotes the study and application of game theory, a mathematical framework for analyzing strategic interactions among rational decision-makers. Established to foster collaboration and research within this field, the society aims to encourage the development and dissemination of new ideas, methods, and applications of game theory across various disciplines, including economics, political science, biology, and computer science.
Cayley's theorem is a fundamental result in group theory, a branch of abstract algebra. It states that every group \( G \) is isomorphic to a subgroup of the symmetric group \( S_n \), where \( n \) is the order (number of elements) of the group \( G \).

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