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.
Manifold vacuum refers to the vacuum created in the intake manifold of an internal combustion engine when it is running. The intake manifold is the component that distributes the air and fuel mixture to the engine's cylinders. Here's a breakdown of the concept: 1. **Creation of Vacuum**: When the engine operates, the pistons move downward during the intake stroke, creating a negative pressure (vacuum) in the intake manifold.
Metal vapor synthesis (MVS) is a technique used in materials science and chemistry to produce nanostructured materials, particularly metal clusters, nanoparticles, and thin films. The method typically involves the vaporization of a metal in a controlled environment, allowing for the formation of metal clusters through the cooling and subsequent condensation of the vaporized metal.
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.
The term "FLASH" can refer to different things depending on the context. Here are a few common meanings: 1. **Flash Memory**: A type of non-volatile storage that retains data even when the power is turned off. It's widely used in USB flash drives, solid-state drives (SSDs), and memory cards. 2. **Adobe Flash**: A multimedia software platform used to create animations, rich web applications, and interactive content.
A Wieferich prime is a special type of prime number that satisfies a particular congruence relation involving powers of 2.
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.
A vacuum flask, also known as a thermos, is an insulated container designed to keep liquids hot or cold for extended periods of time. It consists of two containers, one inside the other, with the space between them evacuated of air (creating a vacuum). This vacuum layer minimizes heat transfer by conduction or convection, helping to maintain the temperature of the contents.
In number theory, a prime number \( p \) is called a **regular prime** if it does not divide the numerator of the binomial coefficients \( \binom{n}{k} \) for any integers \( n \) and \( k \) where both \( k \) and \( n-k \) are less than \( p \). In simpler terms, a regular prime is one that behaves "nicely" with respect to these combinatorial quantities.
Ankotarinja refers to an ancient site located in Madagascar, known for its archaeological significance. It is particularly noted for containing remnants of early human habitation, including tools, pottery, and other artifacts that provide insight into the early settlers of the island. Researchers have studied these findings to understand the cultural and technological developments of the communities that lived there.
Schinzel's Hypothesis H is a conjecture in number theory proposed by mathematician Andrzej Schinzel in the 1950s. It relates to the distribution of prime numbers generated by certain types of polynomial expressions. Specifically, Schinzel's Hypothesis H deals with a finite collection of multivariable integer polynomials.
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.
A Wagstaff prime is a special type of prime number that is defined in a particular form. Specifically, a Wagstaff prime is a prime number of the form: \[ \frac{2^p + 1}{3} \] where \( p \) is also a prime number.
Moderation generally refers to the practice of avoiding extremes in behavior, consumption, or expression. It can be understood in various contexts: 1. **Diet and Nutrition**: In the context of diet, moderation involves consuming food and drink in reasonable amounts, avoiding overeating or excessive indulgence in particular foods.
Moral intellectualism is a philosophical theory suggesting that moral knowledge, much like knowledge in other domains, is primarily a matter of intellectual understanding. Proponents of moral intellectualism argue that moral truths can be known and that ethical reasoning is akin to cognitive reasoning—where understanding and rational thought play crucial roles. Key aspects of moral intellectualism include: 1. **Cognitive Component**: This perspective emphasizes the role of reasoning and intellect in moral judgment.
The philosophy of love, sex, and marriage encompasses a wide array of questions and issues concerning the nature of love, the ethical considerations surrounding sexual relationships, and the meaning and institution of marriage. It draws on various philosophical traditions and engages with historical and contemporary debates. ### Key Themes and Questions: 1. **Nature of Love**: - What is love? Is it a feeling, an action, or a combination of both? - Are there different kinds of love (e.g.
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 vacuum system is a set of interconnected components designed to create and maintain a vacuum, which is a space with significantly reduced pressure compared to the atmospheric pressure. Vacuum systems are used in a variety of applications across different fields, including: 1. **Industrial Processes**: Used in manufacturing and processing, such as vacuum drying, vacuum packaging, and vacuum forming.
Vacuum tubes, also known as thermionic valves or electron tubes, are electronic components that control the flow of electric current in a vacuum. They consist of a sealed glass or metal tube from which most of the air has been removed, creating a vacuum. Inside the tube, there are typically at least two electrodes: a cathode and an anode.
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 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