The Katchalski-Katzir algorithm is a method used for solving specific types of combinatorial and optimization problems, particularly in the context of graph theory. However, it is most commonly associated with the problem of finding maximum matchings in bipartite graphs. ### Overview The algorithm was developed by two researchers, Katchalski and Katzir, and is rooted in concepts of network flows and optimization.
The LeRoy radius is a concept used in the field of atomic and molecular physics, particularly in the context of the interaction of charged particles, such as electrons and ions, with neutral atoms or molecules. It is defined as the distance at which the potential energy of interaction between the charged particle and the neutral atom becomes comparable to the thermal energy available at a given temperature. The LeRoy radius is particularly important when considering the conditions under which a charged particle can interact with an atom in a significant way.
The Pariser–Parr–Pople (PPP) method is a computational approach in quantum chemistry used for describing the electronic structure of conjugated systems, such as polymers and molecular systems with delocalized π-electrons. The method is particularly suitable for systems where π-conjugation plays a vital role, as it captures the essential physics of electron correlation and the effects of electron-electron interactions in these systems.
Caesium cadmium chloride is a chemical compound composed of cesium (Cs), cadmium (Cd), and chlorine (Cl) atoms. It is often represented by the formula Cs2CdCl4, which indicates that two cesium ions and one cadmium ion are combined with four chloride ions. This compound belongs to a class of materials known as halides and can exhibit interesting properties that are useful in various applications, such as in the fields of photonics and materials science.
A Coherent Perfect Absorber (CPA) is a device or system that is designed to absorb incoming electromagnetic waves (such as light) completely, without reflecting or scattering any of that energy. It achieves this by using interference effects, where the incoming waves are perfectly matched in phase and amplitude to the waves that are coherently emitted by the absorber. The concept of a CPA is analogous to that of a laser, where energy is emitted coherently.
An erect image is an image that appears upright, meaning that it maintains the same orientation as the object being observed. In optics, when light rays converge to form an image, the orientation of that image can be classified as either erect or inverted. Erect images are typically produced by certain optical devices, such as: 1. **Convex mirrors**: They produce erect virtual images that are smaller than the object.
Dispersion-shifted fiber (DSF) is a type of optical fiber designed to minimize chromatic dispersion across certain wavelengths, particularly in the wavelength range commonly used for long-distance fiber optic communication, such as around 1550 nm. In conventional single-mode fibers, chromatic dispersion—a phenomenon where different wavelengths of light travel at different speeds—can lead to signal broadening over long distances, which ultimately limits the bandwidth and performance of fiber optic systems.
Optic crystals, also known as optical crystals, are materials that possess specific optical properties, making them suitable for a variety of applications in optics and photonics. These crystals can manipulate light in various ways, such as through refraction, diffraction, polarization, and nonlinear optical effects. Some of the key characteristics of optic crystals include: 1. **Transparency**: Optic crystals are often transparent to certain wavelengths of light, which is essential for many optical applications.
The Fresnel–Arago laws refer to principles related to the diffraction of light, which were formulated by Augustin-Jean Fresnel and François Arago in the early 19th century. These laws are fundamental to the understanding of wave optics and describe how light behaves when it encounters obstacles or slits.
A High-Power Field (HPF) is a term commonly used in microscopy to refer to a specific area viewed through a microscope using a high magnification objective lens, typically 40x or higher. The HPF allows for a detailed examination of the specimen, providing a more magnified view that can reveal finer cellular structures and details compared to lower power fields.
Moiré deflectometry is an optical measurement technique used to measure surface deformations and profiles with high precision. It is based on the moiré effect, which occurs when two patterns (usually grids or stripes) are overlaid with a slight misalignment or difference in scale, resulting in an interference pattern that can reveal subtle variations in surface shapes or displacements.
The term "optical format" can refer to a few different concepts depending on the context in which it is used. Here are some of the main interpretations: 1. **Optical Media Format**: In the context of data storage, optical format often refers to the type of media that uses laser technology to read and write data. Common examples include CDs (Compact Discs), DVDs (Digital Video Discs), and Blu-ray discs.
Periodic poling, often referred to as periodic poling of nonlinear optical materials, is a fabrication technique used to create structures with periodically varying properties within a nonlinear optical crystal. This method is particularly valuable in the field of nonlinear optics, where the manipulation of light and its interactions with matter are exploited for various applications such as frequency conversion, laser generation, and photon manipulation.
The Rabbit-Duck illusion is a visual perception phenomenon that can be interpreted in two distinct ways: as a rabbit or as a duck. This ambiguous image serves as an example of how our brains can interpret the same visual input in different ways depending on how we view it. The illustration typically shows an outline that can be perceived either as the head and body of a rabbit looking to the left, or as a duck facing to the right.
The substitution method is a technique commonly used to solve systems of equations, particularly in algebra. It involves solving one of the equations for one variable and then substituting that expression into the other equation(s). Here's a general outline of how the substitution method works: ### Steps for the Substitution Method: 1. **Solve for One Variable**: Select one of the equations and solve for one variable in terms of the other variable(s).
A varifocal lens, often referred to as a zoom lens, is a type of lens that allows the user to change the focal length, enabling a variable field of view. This means that the lens can be adjusted to focus at different distances, allowing for a range of magnifications without the need to switch lenses. Varifocal lenses are commonly used in various applications, including photography, videography, and surveillance cameras.
Yttrium lithium fluoride (YLiF4) is a inorganic compound that consists of yttrium (Y), lithium (Li), and fluorine (F). It is a type of fluoride mineral and can also be synthesized as a crystalline solid. Yttrium lithium fluoride is notable for several applications, particularly in the fields of optics and materials science.
Direct quantum chemistry, often referred to in the context of computational chemistry, involves methods that enable the direct calculation of molecular properties and reactions using quantum mechanical principles without relying on empirical parameters or pre-calculated data. This approach utilizes quantum mechanics to solve the Schrödinger equation for systems of many electrons and nuclei, allowing for highly accurate predictions of molecular behavior.
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





