Knot operations refer to methods used in the field of knot theory, a branch of topology in mathematics that studies the properties and classifications of knots. A knot is defined as a closed loop in three-dimensional space that does not intersect itself, akin to a tangled piece of string. Knot operations are techniques that allow mathematicians to manipulate these knots to study their properties, relationships, and classifications.
Photon upconversion is a process in which lower-energy photons (such as infrared or near-infrared light) are absorbed and the energy is combined to emit higher-energy photons (often in the visible range). This phenomenon can occur in certain materials, often referred to as upconverters, which can convert multiple low-energy photons into a single higher-energy photon through various mechanisms.
In functional analysis and linear algebra, a **normal operator** is a bounded linear operator \( T \) on a Hilbert space that commutes with its adjoint. Specifically, an operator \( T \) is said to be normal if it satisfies the condition: \[ T^* T = T T^* \] where \( T^* \) is the adjoint of \( T \). ### Key Properties of Normal Operators 1.
KCNK17, also known as potassium channel, subfamily K, member 17, is a gene that encodes a member of the two-pore domain potassium channel family. These channels are involved in various physiological processes, including the regulation of neuronal excitability and cardiac rhythm. KCNK17 specifically is thought to play a role in the modulation of the resting membrane potential of cells and may be involved in sensory perception.
"RD1" can refer to several things depending on the context. Here are a few possibilities: 1. **Research and Development (RD) 1**: In project management or business contexts, RD1 often represents the first phase of research and development for a project or product. 2. **Technical Specifications**: RD1 might be a model number or designation for a specific technical product, such as a vehicle or electronic device.
The Peeling Theorem is a concept in the study of black holes and gravitational theories, particularly in the context of general relativity and asymptotically flat spacetimes. It describes the behavior of certain scalar fields in black hole spacetimes, specifically in relation to how the fields decay over time when propagating in the curved geometry of a black hole.
A nine-point conic is a relevant concept in projective geometry, particularly in relation to conic sections. Specifically, a nine-point conic relates to a configuration of points derived from a triangle. Given a triangle, the nine-point conic is defined using several key points: 1. The midpoints of each side of the triangle (3 points). 2. The feet of the altitudes from each vertex to the opposite side (3 points).
The Bochner–Riesz means are a class of means associated with the Fourier transform, named after mathematicians Salomon Bochner and Hans Riesz. They generalize the concept of the Riesz means of Fourier series and are particularly useful in the study of convergence properties in harmonic analysis and functional analysis.
The 60th meridian east is a line of longitude that is 60 degrees east of the Prime Meridian, which is defined as 0 degrees longitude. This meridian runs from the North Pole to the South Pole and passes through several countries as it spans the globe. In the northern hemisphere, the 60th meridian east traverses parts of Russia and Kazakhstan. In the southern hemisphere, it passes through Antarctica.
IQRF is a wireless communication technology specifically designed for the Internet of Things (IoT) applications. It allows devices to communicate with each other in a mesh network, enabling efficient data transmission and control in various environments, such as smart homes, industrial automation, and smart cities. Key features of IQRF include: 1. **Mesh Networking**: IQRF devices can communicate directly with each other, allowing for a robust network where data can be relayed across multiple nodes.
A brinicle is an underwater phenomenon that occurs in polar regions, often referred to as an "ice finger of death." It forms when cold, salty water is released from sea ice. As this saline water sinks, it interacts with the surrounding seawater, which is less saline and warmer. The process begins when sea ice forms, concentrating salt in the remaining water. When this denser water is released, it sinks and can create a column of brine that descends into the ocean.
Molecules are groups of two or more atoms that are bonded together by chemical bonds. These atoms can be of the same element or different elements. The arrangement and type of atoms in a molecule determine its properties and behavior. Molecules can be categorized into several types: 1. **Diatomic Molecules**: Consist of two atoms, which may be of the same element (e.g., O₂, N₂) or different elements (e.g., CO).
Cutting fluid, also known as coolant or lubricant, is a substance used in various machining processes, such as cutting, grinding, and drilling, to improve the efficiency of the operation. It serves several important functions: 1. **Cooling**: Cutting generates significant heat, which can cause tool wear and affect the quality of the workpiece. Cutting fluids help dissipate this heat, maintaining optimal temperatures during machining.
Gaullism is a political ideology and movement associated with Charles de Gaulle, the French military leader and statesman who played a pivotal role in the history of France during and after World War II.
Harmonic functions are a special class of functions that arise in various fields, including mathematics, physics, and engineering.
A peristaltic pump is a type of positive displacement pump used to move fluids through a tube or hose. The pump operates by using a rotating mechanism, typically a series of rollers or shoes, that compresses a flexible tube or hose. As the rollers rotate, they create a series of waves that push the fluid through the tube in a manner similar to how food moves through the digestive tract via peristalsis.
Effect size is a quantitative measure that describes the strength or magnitude of a phenomenon, typically the difference or relationship between groups or variables in a study. It provides a way to assess the practical significance of research findings, going beyond just statistical significance (e.g., p-values). There are several types of effect sizes, including: 1. **Cohen's d**: Used to measure the standardized difference between two means.
Sheldon Wolff is not a widely recognized figure or term, so it's possible you may be referring to a specific individual or context that isn't broadly known or might be misspelled. If you're referring to a notable person, could you please provide more context or clarify whether it's related to a specific field, like science, entertainment, or another area? That would help me provide a more accurate response.
The 113th meridian east is a line of longitude that is 113 degrees east of the Prime Meridian, which is located at 0 degrees longitude. It runs from the North Pole to the South Pole. The 113th meridian east passes through several regions, including parts of Russia, Mongolia, China, and Australia. In Australia, it crosses through states like Queensland and the Northern Territory.
The 175th meridian east is a line of longitude that is located 175 degrees east of the Prime Meridian, which is designated as 0 degrees longitude. This meridian runs from the North Pole to the South Pole and passes through various regions of the Earth. In terms of geography, the 175th meridian east is primarily located in the Pacific Ocean.

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