Spanier–Whitehead duality is a concept in algebraic topology, named after the mathematicians Edwin Spanier and Frank W. Whitehead. It provides a duality between certain types of topological spaces regarding their homotopy and homology theories. More specifically, it relates the category of pointed spaces to the category of pointed spectra, allowing one to translate problems in unstable homotopy theory into stable homotopy theory, and vice versa.
In topology, the term "suspension" refers to a specific construction that produces a new topological space from an existing one. Given a topological space \(X\), the suspension of \(X\), denoted as \(\text{Susp}(X)\), is formed in the following way: 1. **Start with X**: Take a topological space \(X\).
A "control knob" typically refers to a physical or virtual component used to adjust settings or parameters of a device or system. Control knobs are commonly found on various types of equipment, including: 1. **Audio Equipment**: Control knobs are often used to adjust volume, bass, treble, and other sound settings. 2. **Home Appliances**: Many appliances such as ovens, washing machines, and thermostats use control knobs to set temperatures, times, or modes.
The "Freshman 15" refers to the phenomenon where college freshmen gain an average of 15 pounds during their first year of college. This weight gain is often attributed to a number of factors, such as changes in diet, increased consumption of unhealthy foods, reduced physical activity, stress, and the independence that comes with college life, which may lead to irregular eating habits. While not every freshman experiences this weight gain, the term has become popular in discussions about college life and health.
Anthropometry is the systematic measurement and assessment of the human body's dimensions and proportions. The history of anthropometry can be traced through various stages and cultures, evolving over the centuries for different purposes, including health assessment, ergonomics, and anthropology. ### Ancient Period 1. **Early Measurements**: The practice of measuring the human body dates back to ancient civilizations such as the Egyptians, Greeks, and Romans.
Tulabhara is a traditional Hindu practice that involves weighing an individual (usually a devotee or worshipper) against a set of items, often in the context of a religious offering or ritual. The term "Tula" means "balance" or "scale," and "Bharah" means "weight.
Weight cutting is a process used primarily in combat sports, such as boxing, wrestling, mixed martial arts (MMA), and judo, where athletes intentionally lose weight in the days or weeks leading up to a competition. The goal of weight cutting is to qualify for a specific weight class, which can provide a competitive advantage, as athletes may be able to compete against opponents who are of similar size but have less muscle mass or strength.
Dwarfism is a medical or genetic condition characterized by short stature, typically defined as an adult height of 4 feet 10 inches (147 centimeters) or shorter. It can result from a variety of genetic and medical causes, and there are over 200 different types of dwarfism. The most common form is achondroplasia, which is a genetic disorder affecting bone growth and development.
Elevator shoes are footwear designed with built-in lifts or elevation in the sole, allowing the wearer to appear taller. These shoes typically have hidden lifts that raise the heel and provide extra height without being visibly noticeable from the outside. Elevator shoes are often used for both practical reasons—such as enhancing stature in social or professional settings—and aesthetic purposes, as they can improve posture and confidence.
Height in sports refers to the physical measurement of an athlete's stature, typically expressed in feet and inches or centimeters. Height can significantly influence an athlete's performance, skill set, and suitability for specific sports. ### Implications of Height in Different Sports: 1. **Basketball**: Taller players often have advantages in shooting, rebounding, and blocking shots. Height is a key attribute for positions like center or forward.
In the context of user interfaces, a cursor is a visual indicator on the display that shows the position where user input will occur. It is typically represented as a small arrow, line, or other shapes, depending on the type of interface and the specific actions being performed. When interacting with a computer or device, users manipulate the cursor using input devices such as a mouse, trackpad, or touchscreen.
Grip, in the context of percussion, refers to the way a drummer holds their drumsticks or mallets while playing. It is a crucial aspect of drumming technique, as it affects control, mobility, and the overall quality of sound produced. Different grips can produce varying levels of speed, power, and dynamics. There are several common types of grips: 1. **Matched Grip**: This is where both hands hold the sticks in the same manner, typically with the palms facing down.
The Tama Iron Cobra is a series of high-quality drum pedals produced by Tama, a well-known manufacturer of percussion instruments and hardware. Launched in the late 1990s, the Iron Cobra series is recognized for its innovative design, durability, and versatility, catering to drummers across various genres.
"Hungarian statisticians" could refer to statisticians from Hungary or those who study statistics within the context of Hungarian contributions to the field. Hungary has a notable tradition in mathematics and statistics, with several prominent statisticians emerging from the country. One of the most famous figures associated with Hungarian statistics is László Lovászy, known for his contributions to combinatorial optimization and graph theory, which have statistical implications.
The list of Hungarian mathematicians features many prominent figures who have made significant contributions to various fields of mathematics. Here are some notable Hungarian mathematicians: 1. **Paul Erdős** - Renowned for his work in number theory, combinatorics, and graph theory, he is known for the Erdős number concept and his prolific collaboration with other mathematicians.
Hungarian women physicists have made significant contributions to the field of physics, despite often facing challenges related to gender bias and underrepresentation in the sciences. Some notable Hungarian women physicists include: 1. **Maria Telkes** - Known as the "Sun Queen," Telkes was a pioneer in solar energy technology and made significant contributions to thermoelectric materials.
A telescopic cylinder is a type of hydraulic or pneumatic cylinder that consists of multiple nested cylinders (or "stages"), allowing it to extend and retract over a greater distance than a single-cylinder design would permit. This design is particularly useful in applications where space is limited, but a long stroke is necessary.
The term **Infiltration Gallery** can refer to a couple of different concepts depending on the context, but it is most commonly associated with two main areas: 1. **Environmental Science and Hydrology**: Infiltration galleries are structures designed to collect groundwater or manage surface water runoff. They typically consist of subsurface channels, pipes, or wells that can capture and channel water infiltrating into the ground.
Water supply refers to the provision of water for various uses, including drinking, irrigation, sanitation, and industrial purposes. It involves the collection, treatment, storage, and distribution of water to ensure that it is available and safe for consumption and other uses.
Water transport infrastructure refers to the physical facilities and systems that facilitate the movement of goods and people over water. This includes various components that support the operation of maritime transportation, such as: 1. **Ports**: Facilities where ships dock to load and unload cargo. This includes cargo handling equipment, warehouses, and logistics facilities. 2. **Harbors**: Sheltered bodies of water where vessels can anchor or moor safely.

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