The Grimm–Sommerfeld rule is a principle used in quantum mechanics that helps to estimate the transition rates between quantum states, particularly in the context of atomic and molecular transitions. It provides a way to understand the selection rules governing the allowed or forbidden transitions between different energy levels of a quantum system. The rule was formulated by the physicists Wilhelm Grimm and Arnold Sommerfeld, and it applies primarily to electric dipole transitions.
NDDO can refer to several things, depending on the context. However, the most common references are: 1. **NDDO (National Digital Data Outlet)**: This may refer to platforms or organizations that provide access to digital data related to various fields, such as health, education, or environmental information. 2. **Network Data Distribution Object**: In computer science, this term might relate to frameworks or protocols used in data distribution across networked systems.
Deuterated methanol, often referred to as methanol-D or D-methanol, is a form of methanol (CH₃OH) where the hydrogen atoms in the molecule are partially or fully replaced with deuterium (D), a stable isotope of hydrogen. Deuterium contains one proton and one neutron in its nucleus, in contrast to the more common hydrogen isotope, which has only one proton.
The angle of climb refers to the angle between the flight path of an aircraft and the horizontal plane during the climb phase after takeoff. It is a critical performance metric for pilots and is typically expressed in degrees. This angle is important for several reasons: 1. **Performance**: The angle of climb helps determine how efficiently an aircraft can gain altitude. A steeper angle of climb can result in a more rapid ascent but may require more power and increase fuel consumption.
Free Induction Decay (FID) is a phenomenon observed in nuclear magnetic resonance (NMR) and magnetic resonance imaging (MRI). It refers to the signal that is detected after the initial excitation pulse is applied to a sample containing nuclei with magnetic properties, such as hydrogen atoms in water.
The International Society for Magnetic Resonance in Medicine (ISMRM) is a professional organization dedicated to advancing the field of magnetic resonance imaging (MRI) and spectroscopy. Founded in 1980, the ISMRM aims to promote research, education, and clinical practice in magnetic resonance techniques, encompassing a wide range of applications in medicine and biology.
Multispectral segmentation is a process used in image analysis, particularly in remote sensing and computer vision, to classify and segment images based on multiple spectral bands. In multispectral imaging, images are captured in several different wavelengths of light beyond the visible spectrum, including near-infrared and infrared wavelengths. This allows for the extraction of more detailed information about the materials and features present in the scene.
Shoolery's rule is a guideline used in the field of experimental science, specifically in relation to the design and analysis of experiments. It states that the number of experimental units should be equal to at least the number of factors being investigated multiplied by the number of levels of those factors. This rule helps ensure that an experiment has sufficient power to detect significant effects and interactions among the factors being studied.
Current in the context of fluid dynamics refers to the flow of a fluid, which can be a liquid or a gas. It describes the movement of fluid in a specific direction and can be quantified in terms of velocity, which is the speed of the fluid along with its direction. Fluid currents can occur in various environments, such as: 1. **Water Currents:** These occur in rivers, oceans, and lakes, where water flows due to gravity, wind, and differences in temperature or salinity.
The Diffuse Element Method (DEM) is a computational technique used primarily for solving partial differential equations (PDEs) in engineering and physics contexts. It is a mesh-free method, meaning it does not require a traditional mesh to discretize the problem domain. Instead, it utilizes a set of scattered points within the domain and interpolates the field variables at these points using diffuse or radial basis functions.
The term "effusive limit" usually pertains to the context of volcanic activity. It refers to the boundary or threshold at which magma begins to flow out of a volcano in a relatively non-explosive manner, resulting in an effusive eruption. These eruptions typically produce lava flows instead of explosive ash clouds, and they occur when the viscosity of the magma is low enough to allow it to flow freely.
Helicoidal flow refers to a type of fluid motion where the flow follows a helical or spiral path. This means that the fluid moves in a circular manner while also progressing along an axis, creating a corkscrew-like effect. Helicoidal flow can occur in various contexts, such as in rotating fluids, biological systems, or engineering applications. In fluid dynamics, helicoidal flow can be analyzed using the principles of rotational and translational motion.
Ledinegg instability refers to a phenomenon in thermodynamics and fluid mechanics, particularly in the context of two-phase flow systems, such as those found in nuclear reactors. It describes a stability issue that can occur in boiling systems where there is an interaction between the liquid and vapor phases. In systems that experience boiling, the rate at which vapor is generated can influence the temperature and flow characteristics.
The Papkovich–Neuber solution refers to a mathematical approach used in the field of elasticity theory, particularly in the study of problems related to linear elastic materials. It is named after the Russian mathematicians Alexander Papkovich and Alfred Neuber, who developed this solution in the early 20th century. The Papkovich–Neuber solution provides a way to represent the displacement field and stress field in a linearly elastic medium in terms of harmonic functions.
Copper loss, also known as I²R loss, refers to the energy lost in electrical conductors due to the resistance they offer to the flow of electric current. This type of loss occurs in any electrical device that conducts current, such as transformers, motors, and transmission lines.
A Love wave is a type of surface seismic wave that travels along the Earth's surface and is named after the British mathematician A. E. H. Love, who first described them in the early 20th century. Love waves are characterized by a horizontal shearing motion that occurs in a horizontal plane perpendicular to the direction of wave propagation. Key characteristics of Love waves include: 1. **Motion**: Love waves involve side-to-side motion of the ground.
A static relay is a type of relay that operates using semiconductor devices instead of electromechanical components. Unlike traditional electromagnetic relays, which rely on moving parts to open or close contacts, static relays use electronic circuits to achieve their protective or control functions. **Key Characteristics of Static Relays:** 1. **Speed and Performance:** Static relays are typically faster than electromagnetic relays because they do not have mechanical parts that need to move, allowing for quicker response times to fault conditions.
Corrosion under insulation (CUI) is a type of corrosion that occurs on the surface of metal components that are insulated, typically in industrial settings. This phenomenon is particularly common in process plants, refineries, and chemical processing facilities where piping, valves, and other equipment are insulated to maintain temperature, save energy, or protect personnel from hot surfaces. ### Key Points about CUI: 1. **Causes**: CUI generally occurs due to moisture trapped under the insulation material.
"Electrochemical and Solid-State Letters" is a scientific journal that focuses on research in the fields of electrochemistry and solid-state science. It publishes articles related to various aspects of electrochemical processes, materials, and devices, including their theoretical, experimental, and application-oriented studies. Topics may include but are not limited to battery technologies, fuel cells, capacitors, corrosion, sensors, and other solid-state phenomena involving electron and ion transport.

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