The term "Frank Gray" could refer to a variety of subjects depending on the context, such as a person's name, a fictional character, a brand, or another specific reference. Without additional context, it's challenging to provide a definitive answer.
The Titius–Bode law, also known simply as Bode's law, is an empirical rule that suggests a pattern in the distances of the planets from the Sun in our solar system. The law states that the distances of the planets from the Sun follow a specific mathematical progression. According to the Titius–Bode law, the distance (in astronomical units, AU) of the planets can be approximated using the formula: \[ a_n = 0.4 + 0.
The Tohoku Mathematical Journal is a peer-reviewed academic journal that publishes original research articles in the field of mathematics. Established in 1911, it is one of the well-respected journals in the mathematical community. The journal is based in Japan and has a particular focus on pure mathematics, covering a wide range of topics including algebra, analysis, geometry, and topology.
Tom McLeish is a British physicist and professor known for his work in the field of soft matter physics and materials science. He is affiliated with the University of York, where he has made contributions to understanding the physical properties of complex materials, including biological substances and polymers. McLeish's research often intersects with themes in interdisciplinary science and the application of physical principles to solve problems in biology and medicine.
Tommy Flowers (1905-1998) was a British engineer and computer scientist best known for his pioneering work in electronic computing. He is widely regarded for his role in designing and building the Colossus, the world's first programmable digital electronic computer, which was used by British codebreakers during World War II to help decrypt the Lorenz-encrypted messages used by the German military.
A photoelectrochemical cell (PEC) is a device that converts light energy, typically from the sun, into chemical energy through electrochemical processes. These cells combine the principles of photovoltaics and electrolysis to facilitate chemical reactions, often utilized for applications such as solar fuel production, including hydrogen generation through water splitting. Here’s how a typical PEC works: 1. **Light Absorption**: The PEC contains a photoactive material (often a semiconducting material) that absorbs sunlight.
The photoelectrochemical (PEC) process refers to an electrochemical reaction that is driven by light, typically sunlight. This technology harnesses solar energy to facilitate chemical reactions, often for applications like water splitting to produce hydrogen or carbon dioxide reduction. Key components and principles of the PEC process include: 1. **Photocatalyst**: This is a material, often a semiconductor, that absorbs light and generates electron-hole pairs when illuminated.
"Forward measure" is a concept used in financial mathematics and quantitative finance, particularly in the context of modeling and pricing derivatives. It generally refers to a particular probability measure under which certain processes, like asset prices or tradeable instruments, exhibit specific properties over time. In mathematical finance, different measures are used to analyze stochastic processes, especially when it comes to pricing options and other derivatives.
Topological defects are irregularities or disruptions that occur in a medium where the spatial arrangement of the constituents is defined by a specific order parameter. These defects arise in various fields of physics, particularly in the study of condensed matter systems, cosmology, and field theory. They reflect a mismatch between the local symmetry of the system and the global properties of the medium.
Foucault's measurement of the speed of light refers to a famous experiment carried out by the French physicist Léon Foucault in 1850. Foucault's apparatus involved a rotating mirror and a light source. In his experiment, light was directed toward a rotating mirror, reflected off it, and then sent to a stationary mirror placed some distance away. The rotating mirror would move slightly during the time it took for the light to travel to the stationary mirror and back.
Photon antibunching is a quantum optical phenomenon that occurs when photons emitted from a source are detected in such a way that they exhibit a reduced probability of being detected in pairs (or bunches) compared to what would be expected from classical light sources. This effect is a key signature of non-classical light and is often observed in light emitted by single quantum emitters, such as single atoms, quantum dots, or single molecules.
A Photostat machine is a type of photocopying device that was widely used before the advent of modern photocopiers and digital imaging technology. It typically uses light and a chemical process to create copies of documents. The term "Photostat" originally referred to a specific brand of copying machine developed in the 1930s, but it eventually became a generic term for similar devices.
The concept of the Four Causes originates from the ancient Greek philosopher Aristotle. It is a framework for understanding the different ways to explain why things exist or happen. According to Aristotle, there are four types of causes: 1. **Material Cause**: This refers to the substance or matter that something is made from. For example, the material cause of a statue is the marble or bronze from which it is carved.
Photothermal microspectroscopy is a technique that combines principles of photothermal effect with microscopy and spectroscopy to study materials and biological samples at high spatial resolution. This method is particularly effective for characterizing the optical and thermal properties of materials at the nanoscale. ### Key Features of Photothermal Microspectroscopy: 1. **Photothermal Effect**: When a material absorbs light (usually in the form of a laser), it can cause localized heating.
Theodore Postol is an American physicist and professor emeritus at the Massachusetts Institute of Technology (MIT). He is known for his work on national security, missile defense, and the implications of technology in warfare. Postol has raised significant concerns about the efficacy and reliability of missile defense systems, particularly in the context of U.S. defense policies and strategies.
The Fourier–Bros–Iagolnitzer transform is an extension of the classical Fourier transform, primarily used in the context of distribution theory and non-commutative analysis. It generalizes the Fourier transform to incorporate the behavior of distributions and functions that may not be well-behaved under standard Fourier transforms.
Phyllis Stabeno is a marine scientist known for her work in oceanography, particularly in the areas of physical oceanography, marine ecosystems, and climate variability. She has been involved in various research projects related to ocean dynamics and the effects of climate change on marine environments. Stabeno has contributed to understanding how oceanic conditions influence marine life and ecosystems, especially in the context of the North Pacific and Arctic regions. Her work often involves data collection and analysis from oceanographic expeditions.
The Fox H-function is a special function defined in the context of fractional calculus and complex analysis. It is a generalized function that can represent a wide variety of functions used in various fields, including probability theory, mathematical physics, and engineering.
Wilfried Schmid is a mathematician known for his work in various fields of mathematics, particularly in areas such as algebra, geometry, and mathematical education. He is also recognized for his contributions to the mathematical community, including publications and teaching. However, without more specific context, it’s difficult to provide detailed information about his work or achievements.
123 Reg is a UK-based domain registration and web hosting company. It provides a range of services to individuals and businesses looking to establish an online presence. Founded in 2000, 123 Reg offers domain name registration, web hosting, website builders, email hosting, and other related services. The company is known for its user-friendly interface, competitive pricing, and customer support, making it a popular choice for those starting a website or online project in the UK and beyond.

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