The computation of π (pi) has a long and fascinating history that spans thousands of years. Here's a chronology highlighting significant milestones in the calculation of π: ### Ancient Civilizations - **c. 2000 BCE**: Egyptians and Babylonians estimated π as 3.16 and 3.125, respectively. The Rhind Mathematical Papyrus suggests a value of approximately 3.16. - **c.
Here is a list of notable mathematical formulae and constants involving π (pi): 1. **Circumference of a Circle**: \[ C = 2\pi r \] where \( C \) is the circumference and \( r \) is the radius of the circle.
Milü, often referred to as "Milu" or "Milü deer," is a species of deer known scientifically as *Elaphurus davidianus*. It is native to eastern Asia, particularly China, and is known for its distinctive appearance, which includes large antlers and a striking coat. The Milü is notable for its long, slender legs and adaptations to wetland habitats.
Gallium phosphate (GaPO4) is a chemical compound composed of gallium (Ga), phosphorus (P), and oxygen (O). It is a semi-conductive material that typically occurs as a crystalline solid. Gallium phosphate is of interest in various fields, including materials science and electronics, due to its unique properties.
Lead zirconate titanate (PZT) is a ceramic compound composed of lead, zirconium, and titanium. It has the chemical formula \( \text{Pb(Zr}_{x}\text{Ti}_{1-x})\text{O}_3 \), where \( x \) can vary to create different compositions of the material. PZT is well-known for its piezoelectric properties, which means it can generate an electrical charge in response to applied mechanical stress and vice versa.
Cured-in-place pipe (CIPP) is a trenchless rehabilitation method used to repair existing pipelines, particularly those made of materials like clay, concrete, or PVC. This technique is commonly employed for sewer, water, and drain systems. ### Key Features of CIPP: 1. **Process**: - **Preparation**: The existing pipe is inspected, usually using video cameras, to assess its condition. Any obstructions are cleared.
Quartz is a widely abundant mineral composed of silicon dioxide (SiO₂). It is one of the most common minerals in the Earth's crust and can be found in a variety of geological environments. Quartz is characterized by its hardness (it has a rating of 7 on the Mohs scale), which makes it resistant to weathering, and its chemical durability.
British Standard Pipe (BSP) is a standard for screw threads used extensively in plumbing and piping applications in the United Kingdom and other countries. It was established to ensure compatibility and interoperability of fittings and pipes, primarily for water and gas systems. There are two main types of BSP threads: 1. **BSPT (British Standard Pipe Tapered)**: This type has a tapered thread that allows for a tight seal when the two parts are screwed together.
A Drag Reducing Agent (DRA) is a substance added to pipeline fluids, such as oil, water, or natural gas, to reduce the resistance (drag) that the fluid encounters as it flows through pipes. By minimizing friction between the fluid and the pipe walls, DRAs enhance the flow efficiency, potentially allowing for the transport of larger volumes with less energy consumption.
HDPE stands for High-Density Polyethylene, which is a type of thermoplastic made from petroleum. HDPE pipes are commonly used in a variety of applications due to their durability, flexibility, and resistance to corrosion. Here are some key points about HDPE pipes: 1. **Material Properties**: HDPE is known for its high strength-to-density ratio. It is lightweight yet strong and resistant to impact and various chemicals.
Pipe marking refers to the labeling of pipes in industrial and commercial settings to indicate the contents, direction of flow, hazards, and other important information. This practice is essential for safety, maintenance, and operational efficiency. Properly marked pipes help workers quickly identify the substances flowing through them, enabling safer handling and preventing accidents. Key elements of pipe marking include: 1. **Color Coding**: Different colors are used to represent various types of contents.
In plumbing, a "nipple" is a short piece of pipe that has threaded ends, allowing it to connect two other fittings or pieces of pipe. Nipples are typically used to extend the reach of existing pipes, to connect various components in a plumbing system, or to serve as a transition between different types of pipes or fittings. They are often made from materials such as steel, brass, copper, or plastic, depending on the application and the fluid being transported.
In construction, a "sleeve" refers to a pipe or tube that is typically used to protect and allow for the passage of utilities, such as electrical conduits, plumbing pipes, or HVAC ductwork, through walls, floors, or ceilings.
The tubular pinch effect is a phenomenon observed in plasmas, particularly in the context of magnetic confinement fusion. It refers to the compression of plasma into a cylindrical or tubular shape under certain conditions, which can enhance the confinement of the charged particles within the plasma. This effect can be achieved with the use of magnetic fields, where the magnetic forces act to squeeze the plasma into a tighter configuration.
Pipeline video inspection is a method used to visually assess the condition of pipelines using specialized video equipment. This technique involves inserting a camera into the pipeline to capture real-time footage or recordings of the interior surfaces. It is widely used for various types of pipelines, including sewer, stormwater, gas, oil, and water lines. ### Key Benefits and Features 1.
A Process Flow Diagram (PFD) is a type of flowchart that illustrates the flow of materials and information through various processes within a system. It is commonly used in engineering, manufacturing, and business contexts to provide a visual representation of the steps involved in a process, showing how inputs are transformed into outputs.
TOI-2180 b is an exoplanet that was discovered using data from NASA's Transiting Exoplanet Survey Satellite (TESS). It is classified as a hot Jupiter, which means it is a gas giant that orbits very close to its host star, resulting in high temperatures. TOI-2180 b is notable for being relatively large and having a mass that is approximately 3.4 times that of Jupiter.
Circumstellar disks are structures of gas, dust, and debris that orbit around a star, forming a disk-like shape. These disks are typically found in the early stages of star formation, known as protoplanetary disks, where material is accreting onto a forming star. Over time, these disks can evolve into debris disks, which are composed of remnants of material that did not coalesce into planets or other celestial bodies.
The "list of exoplanet firsts" refers to notable milestones and achievements in the discovery and study of exoplanets (planets located outside our solar system). Here are some significant firsts in the field: 1. **First Confirmed Exoplanet**: 51 Pegasi b (1995) - Discovered by Michel Mayor and Didier Queloz, this was the first exoplanet found orbiting a sun-like star.

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