Laser schlieren deflectometry is an optical measurement technique used to visualize and quantify changes in refractive index within a transparent medium, such as gases or fluids. It combines concepts from both schlieren imaging and deflectometry, leveraging the properties of laser light to achieve high sensitivity and precision. ### Key Principles: 1. **Schlieren Imaging**: This technique relies on the deflection of light rays passing through a medium where the refractive index varies.
The Lennard-Jones potential is a mathematical model that describes the interaction between a pair of neutral atoms or molecules as a function of the distance between them. It is widely used in molecular dynamics simulations and in the study of physical chemistry and condensed matter physics due to its simplicity and effectiveness in capturing essential features of intermolecular forces.
Melting is the process by which a solid substance transforms into a liquid when it is heated to its melting point. This transformation occurs because the added heat energy increases the vibrations of the molecules in the solid, causing them to break free from their fixed positions in the solid structure. Melting can be observed in various substances, such as ice melting into water or metal melting to become molten metal. The temperature at which melting occurs is specific to each material and is known as the melting point.
The Morse potential, also known as the Morse/Long-range potential, is a mathematical model used to describe the interaction between two atoms or molecules, particularly in the context of diatomic molecules. It provides a more accurate representation of the potential energy of a molecular bond than simpler potentials, such as the harmonic oscillator model.
In statistical mechanics, the multiplicity function (also referred to as the multiplicity or the number of microstates) describes the number of ways in which a given macrostate can be realized with specific values of macroscopic parameters (such as energy, number of particles, etc.).
Passive daytime radiative cooling is a technology and concept aimed at achieving cooling effects without the need for energy-intensive active cooling systems like air conditioning. This approach leverages the natural process of thermal radiation to cool surfaces and environments. Here's how it works: 1. **Thermal Radiation**: All objects emit thermal radiation based on their temperature. At daytime, surfaces absorb solar radiation, leading to an increase in temperature. However, they can also radiate infrared heat energy into the sky.
Primary energy refers to energy that is available in its natural form and has not yet been subjected to any conversion or transformation processes. This type of energy is found in nature and can be harnessed for use in various applications, such as electricity generation, heating, or transportation. Examples of primary energy sources include: - **Fossil Fuels**: Coal, oil, and natural gas, which are formed from the remains of ancient organisms.
Synergetics is a framework developed by the German physicist Hermann Haken in the 1970s. It is a multidisciplinary approach that studies complex systems and the principles of self-organization, pattern formation, and collective behavior. Haken's work in synergetics combines ideas from physics, biology, psychology, and social sciences to understand how coherent structures and patterns emerge in systems made up of many interacting components.
Resource intensity refers to the amount of resources consumed relative to the output produced. It is a measure of how efficiently an entity uses resources—such as energy, materials, or labor—in relation to the goods or services it generates. Higher resource intensity indicates that more resources are being used for a given output, while lower resource intensity suggests a more efficient use of resources.
Resource productivity refers to the efficiency with which natural resources are utilized to produce goods and services. It is a measure of how effectively a company, industry, or economy converts inputs (such as materials, energy, and water) into outputs (such as products or services). The higher the resource productivity, the more value is created per unit of resource consumed. Key components of resource productivity include: 1. **Efficiency**: This involves optimizing the use of resources to minimize waste and maximize output.
The saturation vapor curve, also known as the saturation curve or saturation vapor pressure curve, is a graphical representation of the relationship between temperature and the maximum amount of water vapor (moisture) that air can hold at a given temperature. Key points about the saturation vapor curve include: 1. **Saturation Vapor Pressure**: The curve represents the saturation vapor pressure at various temperatures, which is the pressure exerted by water vapor in equilibrium with its liquid phase at a specific temperature.
Sulfidation is a chemical process that involves the reaction of a substrate, typically a metal or alloy, with sulfur or sulfur-containing compounds. This process generally leads to the formation of sulfide compounds on the surface of the material. Sulfidation can occur under various conditions, such as high temperatures or specific chemical environments, and it is often associated with high-temperature applications, like those found in petrochemical processing or metallurgical processes.
Thermal hydraulics is a branch of engineering that deals with the study of heat transfer and fluid flow, particularly in systems involving liquids and gases. It combines principles from thermodynamics, fluid mechanics, heat transfer, and sometimes chemical processes to analyze and design systems where the interaction between heat and fluid motion is crucial.
Augustin Banyaga is a mathematician known for his work in differential geometry and mathematical physics, particularly in areas related to symplectic topology and the study of manifolds. He is recognized for his contributions to the understanding of various geometric structures and has published several influential papers in the field. Banyaga is also notable for his role in academic mentorship and education, helping to train and inspire future generations of mathematicians.
Beno Eckmann is a Swiss mathematician known for his contributions to various fields, including topology, functional analysis, and differential equations. He is particularly recognized for his work on fixed-point theorems and mathematical analysis. Eckmann has had a significant influence on modern mathematics, and his research has contributed to the development of several mathematical theories. In addition to his research, Beno Eckmann has been involved in mathematical education and has played a role in promoting mathematics in Switzerland and internationally.
Eternity II is a geometric puzzle created by Christopher Monckton, released in 2007 as a follow-up to the original Eternity puzzle from 1999. The puzzle consists of 256 square pieces, each with different shapes and designs. The objective is to fit all the pieces together to create a symmetrical 16x16 square. What sets Eternity II apart from other puzzles is its complexity and the difficulty level involved in solving it.
Comb space, denoted as \( C \), is a particular type of topological space that serves as a classic example in the study of topology, particularly in the context of properties such as connectedness and compactness.
The Eternity puzzle is a geometrical jigsaw puzzle designed by British mathematician Alex Bellos and created by David J. Chalmers. Originally released in 1999, it consists of 209 irregularly shaped pieces that are meant to fit together to form a large, symmetrical shape, usually in the form of a 600-piece puzzle. The challenge is to assemble the pieces in such a way that they fit together perfectly without any gaps or overlaps.
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





