The Elsasser number (Λ) is a dimensionless parameter used in magnetohydrodynamics (MHD) to characterize the relative significance of magnetic forces compared to viscous forces in a conducting fluid. It is defined as the ratio of the magnetic pressure to the viscous stress in the fluid.
Force density is a physical concept often used in fields like physics and engineering, particularly in the context of continuum mechanics and material science. It is defined as the force per unit volume applied to a material or system. In mathematical terms, force density \(\mathbf{f}\) is expressed as: \[ \mathbf{f} = \frac{\mathbf{F}}{V} \] where \(\mathbf{F}\) is the total force acting on the volume \(V\).
Helmholtz flow is a type of fluid flow that is governed by a specific mathematical description of velocity fields. Named after the German physicist Hermann von Helmholtz, this flow often refers to the analysis of potential flow, especially in the context of inviscid, incompressible flows.
The hyporheic zone is a region located beneath and alongside a river or streambed, where there is a mixing of surface water and groundwater. This zone plays a critical role in river ecosystems as it supports various biogeochemical processes and provides habitat for diverse organisms. Key features of the hyporheic zone include: 1. **Water Exchange**: The hyporheic zone is characterized by the interaction between river water and groundwater, with water moving in and out of this zone.
"Inspirator" can refer to different things depending on the context, but it generally involves concepts related to inspiration, creativity, or motivation. There might be products, services, organizations, or even software named "Inspirator." 1. **Brand/Company**: Some companies may use the name "Inspirator" to convey a sense of creativity and motivation in their offerings.
An isochoic wave is a term used in the context of medical imaging, particularly in ultrasound. It refers to a specific type of echogenicity, where the tissues involved present a similar acoustic density or reflectivity compared to surrounding tissues. This results in the wave reflecting back at an intensity that does not differ significantly from adjacent structures, making it difficult to distinguish the isochoic tissue from those around it. Isochoic areas may suggest specific characteristics of a lesion or tissue change.
A "photon bubble" typically refers to a theoretical or conceptual construct in the field of physics, particularly in contexts involving light and electromagnetic radiation. While there isn't a broadly recognized scientific term "photon bubble," the concept can relate to various phenomena involving light.
The Pickering scale is a system used to qualitatively assess the clarity of a liquid or a solution, particularly in the field of analytical chemistry and material science. It was developed by the American chemist William H. Pickering. The scale focuses on the evaluation of solutions, particularly those containing particles that may cause turbidity or cloudiness.
The Prandtl–Meyer function is a mathematical function used in the field of gas dynamics, particularly in the study of supersonic flow. It describes the relationship between the change in flow direction and the corresponding change in the Mach number of a compressible fluid as it turns around a corner or through a nozzle.
Special core analysis (SCA) refers to a set of laboratory techniques employed to evaluate the unique properties of reservoir rock samples, typically obtained from oil and gas wells. While conventional core analysis primarily focuses on basic properties such as porosity, permeability, and saturation, special core analysis delves deeper into more intricate characteristics that influence reservoir behavior and fluid flow.
In aeronautics, "tuft" refers to a small piece of yarn or fabric that is attached to the surface of an aircraft model or full-scale aircraft during testing to visualize airflow over the surface. This technique is commonly used in wind tunnel testing and aerodynamic research to observe and study airflow patterns, turbulence, and boundary layer behavior around the aircraft.
"Nice name" typically refers to a name that is considered pleasant, attractive, or appealing. It can also be used in a more casual context, such as when someone compliments another person's name.
Epistemic modal logic is a branch of modal logic that deals with the formal representation of knowledge and belief. It extends classical modal logic by introducing modal operators that express concepts such as "knows" and "believes." The primary focus of epistemic modal logic is to analyze how knowledge is represented, how it can change, and how it relates to other modalities, such as necessity and possibility. ### Key Components 1.
A formal system is a mathematical or logical framework consisting of a set of symbols, rules for manipulating those symbols, and axioms or assumptions. Formal systems are foundational in fields like mathematics, computer science, and logic. Here are some notable formal systems: 1. **Propositional Logic**: A formal system that deals with propositions and their connectives. It uses symbols to represent logical statements and employs rules for deriving conclusions.
Heyting arithmetic is a formal system of arithmetic that is based on intuitionistic logic, reflecting the mathematical philosophy initiated by mathematician L.E.J. Brouwer. It serves as the foundational framework for arithmetic in intuitionistic mathematics, which differs from classical mathematics primarily in its treatment of truth and existence.
Formalism in aesthetics is an approach to analyzing and interpreting works of art that emphasizes the formal elements of the artwork itself, such as line, shape, color, texture, composition, and structure, rather than its context, meaning, or emotional impact. This approach is grounded in the belief that the intrinsic qualities of an artwork can be understood independently of external factors like historical context, the artist's biography, or societal influences.
The term "jurisprudence of concepts" typically refers to the study and analysis of the fundamental concepts and principles that underpin legal systems and legal reasoning. It involves examining the foundational ideas that shape the understanding of law, legal institutions, and legal processes. In jurisprudence, various concepts are explored, including but not limited to justice, rights, duties, legal authority, and the nature of law itself.
The double-slit experiment is a famous physics experiment that demonstrates fundamental principles of quantum mechanics, particularly the wave-particle duality of light and matter. The experiment was first performed by Thomas Young in 1801 and has been reinterpreted in the context of quantum mechanics over the years. ### Description of the Experiment: 1. **Setup**: The basic setup involves a coherent light source (like a laser) directed at a barrier with two closely spaced slits.
Heisenberg's entryway to matrix mechanics refers to the development of a formalism in quantum mechanics that represents physical quantities—such as position and momentum—using matrices rather than wave functions. This approach was introduced by Werner Heisenberg in 1925. Heisenberg was motivated by the limitations of classical physics and the need for a new framework to describe the behavior of particles at the quantum level.
Esther Dyson is an influential figure in the fields of technology, investing, and health. She is known for her work as an entrepreneur, philanthropist, and author, often focusing on the intersection of technology and societal impacts. Dyson gained prominence in the 1990s as a journalist, writing for publications like *Wired* magazine, and she became an early investor in a number of tech startups.

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