Frans Michel Penning (1894-1973) was a Dutch physicist known for his contributions to the field of atomic and molecular physics. He is particularly recognized for his work on the study of Penning traps, a type of device used to trap ions using electromagnetic fields. This technique is widely used in mass spectrometry and quantum computing research.
Oppermann's conjecture, proposed by mathematician Frank Oppermann in 2012, is a conjecture about the existence of certain types of prime numbers known as "twin primes." Specifically, it suggests that for every positive integer \( n \), there exists a prime number \( p \) such that both \( p \) and \( p + n \) are primes.
In algebraic number theory, supersingular primes are particularly interesting as they relate to the study of elliptic curves and the behavior of their reduction modulo prime numbers. Specifically, a prime \( p \) is called **supersingular** for an elliptic curve \( E \) over the finite field \( \mathbb{F}_p \) if the reduced curve \( E \mod p \) has a specific structure that makes it "supersingular.
Twin primes are pairs of prime numbers that have a difference of two. In other words, if \( p \) and \( p+2 \) are both prime numbers, then they are considered twin primes. For example, (3, 5), (11, 13), and (17, 19) are all pairs of twin primes. The concept of twin primes is an interesting area of study in number theory.
Vacuum gauges are instruments used to measure the pressure of gases in a vacuum system. They are essential for applications where low-pressure measurements are critical, such as in vacuum chambers, scientific research, manufacturing processes, and various industrial applications. There are several types of vacuum gauges, each designed to operate in different pressure ranges and to measure vacuum levels in different ways.
A cold cathode refers to a type of electron source used in vacuum tubes and some types of display technologies (like cold cathode fluorescent lamps, or CCFLs) where electrons are emitted from a cathode without the need for significant heating. This is in contrast to hot cathodes, where the cathode is heated to facilitate electron emission through thermionic emission. In a cold cathode, the electron emission is typically achieved through processes such as field emission or Schottky emission.
Outer space is the vast, seemingly infinite expanse that exists beyond the Earth’s atmosphere. It is the region of the universe where there is a near vacuum, meaning it has very low density and pressure compared to the conditions we experience on Earth. Here are some key characteristics and features of outer space: 1. **Vacuum**: Outer space is largely a vacuum, which means it has very few particles, including air, atoms, and molecules.
Vacuum deposition is a manufacturing process used to deposit thin films or coatings onto substrates in a controlled vacuum environment. This technique is widely used in various industries, including electronics, optics, and packaging, due to its ability to produce high-quality coatings with precise thickness and composition. There are several methods of vacuum deposition, including: 1. **Physical Vapor Deposition (PVD):** Involves the physical vaporization of a solid material, which is then deposited onto the substrate.
Itamar Assumpção was a Brazilian musician and composer, known for his innovative approach to music that combined elements of samba, rock, MPB (Música Popular Brasileira), and other genres. He was born on August 9, 1949, in São Paulo and was one of the notable figures in the Brazilian musical scene, especially during the 1980s and 1990s.
Neutral density (ND) refers to a type of filter used in photography, videography, and optics that uniformly reduces the intensity of light entering the camera lens without affecting the color of the light. This allows photographers and videographers to achieve various creative effects and manage exposure settings in bright conditions. Here are key points about neutral density filters: 1. **Purpose**: ND filters are primarily used to allow for longer exposure times or wider apertures in bright lighting conditions.
Venus has been the subject of various exploratory missions, and while there are no permanent human-made structures on the planet, several artificial objects have been sent there for exploration and research purposes. Here’s a list of notable artificial objects that have been sent to or have impacted Venus: 1. **Mariner 2** (1962) - The first successful spacecraft to fly by Venus and send back data about its atmosphere and surface temperatures.
The "List of quadrangles on Venus" refers to the systematic division of the planet Venus into distinct regions for the purpose of mapping and geospatial analysis. Each quadrangle covers a specific area of the planet's surface and is defined by specific latitude and longitude boundaries. These quadrangles are used for scientific research, exploration, and detailed study of the planet's geology, topography, and atmosphere.
Gualdrada Berti is a historical figure from medieval Italy, particularly associated with the city of Florence. She is often noted in literature and historical accounts for her beauty and intelligence. Gualdrada is most famously mentioned in the writings of the 14th-century poet Dante Alighieri, where she is depicted as a virtuous and noble woman.
"Vice" can refer to several different things, depending on the context: 1. **Moral Concept**: In a philosophical or ethical context, vice refers to a moral failing or a wicked behavior. It contrasts with virtue, which represents moral excellence. Examples of vices include greed, lust, envy, and pride. 2. **Vice Media**: This is a media company known for its edgy and often unconventional approach to journalism, culture, and entertainment.
Electrostatic ion cyclotron waves (EIC waves) are plasma waves that occur in a magnetized plasma environment, where the motion of ions is influenced by both electric and magnetic fields. These waves are specifically related to the oscillations of ions around their equilibrium positions in a magnetic field and arise due to the restoring force exerted by the electric field within the plasma.
Tropical cyclones are intense circular storms that originate over warm tropical oceans and are characterized by low atmospheric pressure, high winds, and heavy rain. They are known by different names depending on their location: they are called hurricanes in the Atlantic and Northeast Pacific, typhoons in the Northwest Pacific, and cyclones in the South Pacific and Indian Ocean.
Quantum tunneling is a quantum mechanical phenomenon where a particle transitions through a potential energy barrier that it classically should not be able to overcome due to insufficient energy. In the context of water, quantum tunneling can occur in various scenarios involving the behavior of water molecules, particularly in the formation and breaking of hydrogen bonds, as well as in the movement of protons within water.
A Josephson vortex is a topological defect that occurs in a type-II superconductor when two superconducting regions are separated by a thin insulating barrier, forming what is known as a Josephson junction. In this junction, when a magnetic field is applied, quantized magnetic flux lines known as "vortices" can penetrate the superconducting regions. In a Josephson junction, under certain conditions, the supercurrent can flow across the junction without the application of an external voltage.
Vortex shedding is a phenomenon that occurs when a fluid flows past a bluff (non-streamlined) body, resulting in the alternating formation and shedding of vortices from the body’s surfaces. This effect is often observed in situations where a fluid, such as air or water, flows around objects like cylinders, plates, and other shapes. When fluid flows past a bluff body, it creates regions of low pressure that lead to the formation of vortices.
A Kármán vortex street is a recurring pattern of swirling vortices caused by the unsteady separation of flow of a fluid around a bluff body (an object with a large cross-section, such as a cylinder). This phenomenon was first described by Hungarian-American engineer Theodore von Kármán in the 1910s. When a fluid flows past a blunt object, such as a cylinder or a flat plate, it can create alternating low-pressure and high-pressure areas in the flow.
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





