The Kodama state is a specific type of quantum entanglement associated with certain kinds of quantum systems, particularly in the context of condensed matter physics and quantum information. It is named after the physicist S. Kodama, who studied its properties. In general terms, the Kodama state can refer to a state in which quantum entanglement plays a crucial role, often leading to intriguing phenomena such as topological order or emergent properties in many-body systems.
Gadoteridol is a gadolinium-based contrast agent used in magnetic resonance imaging (MRI). It enhances the visibility of internal structures in the body, particularly in the brain, spine, and other soft tissues. As a paramagnetic substance, gadoteridol improves the contrast of MRI images, helping healthcare professionals diagnose and evaluate various medical conditions. Gadoteridol is typically administered intravenously before or during an MRI exam.
Low field nuclear magnetic resonance (NMR) refers to NMR techniques that are conducted using magnetic fields that are significantly lower in strength compared to conventional high-field NMR systems. While high-field NMR typically uses magnetic fields ranging from 7 Tesla to beyond 21 Tesla, low-field NMR operates in the range of a few milliTesla to around 1 Tesla.
Pople notation is a system used in computational chemistry to categorize the quality and sophistication of methods used in quantum chemistry, particularly in relation to the Gaussian family of software. It was developed by the Nobel Prize-winning chemist Sir John Pople. The notation consists of a series of letters and numbers that indicate the basis set and the level of theory being used.
Pulsed field gradient (PFG) is a technique used in various areas of physics and chemistry, notably in magnetic resonance imaging (MRI) and nuclear magnetic resonance (NMR) spectroscopy. It involves the application of a gradient magnetic field to manipulate the behavior of magnetic spins in a sample. The key purpose of PFG is to encode spatial information into the magnetic resonance signal, enabling the mapping of molecular diffusion, flow dynamics, and other spatially-resolved phenomena.
Superparamagnetic iron-platinum (FePt) particles are a type of nanomaterial that exhibit unique magnetic properties due to their superparamagnetic behavior. These particles are composed of iron and platinum and are characterized by their small size, typically in the nanometer range, which allows them to exhibit superparamagnetism.
Transverse Relaxation-Optimized Spectroscopy (TROSY) is a technique used in nuclear magnetic resonance (NMR) spectroscopy that helps improve the sensitivity and resolution of signals from macromolecules, particularly large proteins and protein complexes. In NMR, the relaxation of the magnetic moments of nuclei can lead to signal loss over time, especially in large molecules where relaxation times can be significantly longer due to internal motion.
Vanadium-51 nuclear magnetic resonance (NMR) refers to the study of the magnetic properties of the vanadium-51 isotope using NMR techniques. Vanadium has several isotopes, but vanadium-51 (\(^{51}\text{V}\)) is of particular interest because it has a nuclear spin of 7/2, which allows it to be studied using NMR.
The Arnold–Beltrami–Childress (ABC) flow is a three-dimensional, incompressible flow that is often studied in the context of fluid dynamics and dynamical systems. This flow is notable for its simple yet rich structure, and it serves as a model for understanding various phenomena in fluid mechanics, particularly in relation to turbulence and chaotic behavior.
The term "coefficient of moment" is not a standard term used in mechanics or engineering, so it might appear in different contexts or have various interpretations. However, here are a couple of possible meanings depending on the context: 1. **In Structural Engineering**: The coefficient of moment may refer to a dimensionless value that expresses the relationship between the moment acting on a beam or structural member and the effects produced (like stress or deflection).
Estuarine Turbidity Maximum (ETM) refers to a specific area within an estuary where the concentration of suspended sediments, primarily fine particles and organic matter, is significantly higher than in surrounding waters. This phenomenon typically occurs due to the interaction of freshwater from rivers and saltwater from the ocean, leading to various physical and biological processes.
The Graetz number (Gz) is a dimensionless number used in the field of heat transfer, particularly in the analysis of heat transfer in ducts and pipes. It is a measure of the relative importance of heat conduction to heat convection in a flow situation. The Graetz number is defined as: \[ Gz = \frac{L c_p}{k A} \] Where: - \(L\) is the characteristic length (often the length of the duct or pipe).
"Nanoflower" generally refers to a type of nanostructure that resembles a flower and is often used in fields such as materials science, nanotechnology, and biomedical applications. These structures are typically composed of various materials, including metals, oxides, or other nanomaterials, and possess unique properties due to their nanoscale dimensions and morphological features. Nanoflowers can exhibit enhanced surface area, which makes them useful for applications such as catalysis, drug delivery, and sensors.
Internal flow refers to the movement of a fluid (liquid or gas) within a confined space, such as pipes, ducts, or channels. This type of flow is characterized by the fact that the fluid is contained within boundaries, which influences its behavior and the forces acting upon it. Key characteristics of internal flow include: 1. **Geometry**: The flow occurs in a constrained environment, such as cylindrical pipes or rectangular ducts, and is significantly influenced by the shape and size of these boundaries.
Kameleon FireEx KFX is a fire extinguishing system that utilizes a unique, environmentally friendly algorithm and advanced technology to suppress fires effectively. It is designed to address various types of fires, including those involving flammable liquids, electrical equipment, and more. The KFX system typically employs a combination of water and other agents to create a mist or fog that cools the flames and displaces oxygen, thereby extinguishing the fire.
The Kaye effect, observed in the field of ice skating, refers to the phenomenon where a figure skater executing a jump or spin experiences an increase in rotational speed when they pull their limbs closer to their body. This effect is a practical demonstration of the conservation of angular momentum, which states that if no external torque acts on a system, the total angular momentum of that system remains constant. When a skater extends their arms and legs during a jump, they have a larger moment of inertia.
The Knudsen layer is a region in the vicinity of a solid-gas or liquid-gas interface where the behavior of gas molecules is influenced by the presence of the surface. This layer is particularly significant in situations where the mean free path of gas molecules (the average distance a molecule travels between collisions) is comparable to or larger than the characteristic dimensions of the surface features or the separation distance from the surface itself.
The Leverett J-function, often denoted as \( J \), is a dimensionless parameter used in petroleum engineering and reservoir engineering, particularly in the context of studying the flow of fluids in porous media. It is especially significant in tieing together the relationship between saturation and capillary pressure in the context of two-phase flow, such as the movement of oil and water in a reservoir.
"Modified pressure" isn't a widely recognized term across scientific disciplines, but the concept can be applied in various contexts depending on the field being discussed. Here are a few possible interpretations: 1. **Fluid Mechanics:** In fluid dynamics, "modified pressure" might refer to a pressure measurement that has been adjusted for specific conditions, such as accounting for elevation changes, fluid density variations, or other factors affecting pressure readings.
The Otto Laporte Award is a prestigious recognition given by the American Mathematical Society (AMS). It is awarded for notable contributions to the field of mathematics education, particularly in the areas of teaching and curriculum development. The award is named after Otto Laporte, who was a prominent mathematician and educator. It emphasizes the importance of effective teaching and the enhancement of mathematics learning experiences, celebrating individuals who have made significant impacts in these areas.
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!
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 2. You can publish local OurBigBook lightweight markup files to either OurBigBook.com or as a static website.Figure 3. Visual Studio Code extension installation.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. - 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