A supporting electrolyte, also known as a background electrolyte, is a substance added to an electrochemical system to provide a stable ionic environment, which enhances the conductivity of the solution. It helps maintain a constant ionic strength and can mitigate potential variations in the charge distribution during electrochemical reactions.
Characteristic Mode Analysis (CMA) is a computational technique primarily used in electromagnetics, particularly in antenna design and electromagnetic compatibility (EMC) studies. The method focuses on identifying the fundamental modes of a structure—essentially, the resonant behavior of the physical geometry when subjected to electromagnetic fields. Here are some key aspects of CMA: 1. **Resonant Modes**: CMA seeks to find the resonant frequencies of a structure by analyzing how electromagnetic fields interact with its physical characteristics.
In electronics, a "choke" is an inductor designed to block high-frequency alternating current (AC) while allowing low-frequency or direct current (DC) to pass through. It operates based on the principle of inductance, which is the property of an electrical conductor to oppose changes in current. Chokes are commonly used in power supply circuits, radio frequency applications, and various filtering applications.
Displacement current is a concept introduced by James Clerk Maxwell in the context of electromagnetism. It arises in situations where electric fields are changing over time, particularly in regions where conventional current (the flow of charged particles) is not present, such as in capacitors during charging and discharging. In classical electromagnetism, the flow of electric charge generates a magnetic field, as described by Ampère's law.
Visual variables are elements that can be manipulated to convey information visually in graphic representations, such as charts, maps, diagrams, and other visualizations. They are essentially the characteristics of graphical marks that can be altered to communicate variations in data. Common visual variables include: 1. **Position**: The location of a mark in a coordinate system (e.g., the x and y coordinates in a scatter plot).
Quantum Electrodynamics (QED) is the quantum field theory that describes how light and matter interact. It is one of the most precisely tested theories in physics. Precision tests of QED refer to experimental measurements and theoretical predictions related to the behavior of charged particles and electromagnetic interactions that seek to verify the accuracy and validity of QED.
A Rugate filter is an advanced type of optical filter used in various applications, particularly in the fields of telecommunications, optics, and photonics. Its defining feature is that it utilizes a gradation in refractive index, often achieved through a specific multilayer structure that can be designed to reflect or transmit light over a wide range of wavelengths.
Unary operations are operations that involve only one operand. In mathematics and programming, a unary operation takes a single input and performs a specific computation or transformation on it. Common examples of unary operations include: 1. **Negation (-)**: This operation takes a number and changes its sign. For example, applying negation to the number 5 results in -5. 2. **Square (x²)**: This operation takes a number and squares it.
Angular diameter (or angular size) is a measure of how large an object appears to an observer, expressed as an angle. It is typically measured in degrees, arcminutes, or arcseconds. Angular diameter is important in fields such as astronomy, where it helps to describe the apparent size of celestial objects (like stars, planets, and galaxies) from a specific point of view, typically from Earth or another observation point.
A golden rectangle is a specific type of rectangle that has a unique property: the ratio of its longer side to its shorter side is the golden ratio, which is approximately 1.6180339887. Mathematically, if \(a\) is the length of the longer side and \(b\) is the length of the shorter side, then the golden rectangle satisfies the following relationship: \[ \frac{a}{b} = \phi \approx 1.
An **inscribed sphere**, also known as an in-sphere or inscribed ball, is a sphere that is contained within a three-dimensional geometric object such that it is tangent to the surface of that object at all points. The center of the inscribed sphere is typically called the incenter.
Darleane C. Hoffman is an American nuclear chemist renowned for her significant contributions to the fields of nuclear chemistry and radiochemistry. She is best known for her work on the discovery of heavy elements, particularly her role in the identification of elements such as seaborgium and darmstadtium. Hoffman's research has advanced the understanding of superheavy elements and their properties. She has been a prominent figure in scientific research and education, holding positions in various institutions, including the Lawrence Berkeley National Laboratory.
A combinatorial proof is a method of proving a mathematical identity or theorem by demonstrating it through a counting argument, often involving the enumeration of sets or counting the same quantity in two different ways. Instead of relying on algebraic manipulations and formal symbolic manipulation, combinatorial proofs use combinatorial arguments to show that two expressions count the same object or quantity.
The Moffat distribution is a statistical distribution used primarily in the fields of astrophysics and image processing. It is often employed to model the point spread function (PSF) of optical systems, especially in the context of astronomical observations. The Moffat function is characterized by its ability to describe the spread of light from a point source, allowing for a profile that has more pronounced "wings" compared to Gaussian functions, which decay more rapidly.
Kelvin's circulation theorem is a fundamental principle in fluid dynamics, particularly in the study of inviscid (non-viscous) and irrotational flows. It states that the circulation around a closed contour moving with the fluid is constant in time, provided the flow is conservative and the fluid is incompressible and inviscid.
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





