The temperature gradient is a measure of how temperature changes with distance in a specific direction. It is essentially the rate at which temperature increases or decreases over a certain distance. The concept is important in various fields, including meteorology, geology, and engineering, as it can affect processes such as heat transfer, weather patterns, and geological phenomena.
Thermophobia is an aversion or fear of heat or hot temperatures. People who experience thermophobia may feel uncomfortable or anxious in warm environments, find it difficult to engage in activities involving heat, or have a strong dislike for hot food and beverages. The term is derived from "thermo," which relates to heat, and "phobia," which indicates an irrational fear or aversion. Like other specific phobias, thermophobia can vary in severity.
The viscous stress tensor is a mathematical representation that describes the internal frictional forces in a fluid (or a deformable solid) due to its viscosity when it is subjected to deformation. It plays a critical role in fluid dynamics, especially in the study of Newtonian fluids, where the stress is linearly related to the strain rate.
Victor Chan is a common name and could refer to different individuals depending on the context. However, one well-known Victor Chan is a Canadian author, speaker, and social entrepreneur, recognized for his work in the field of mindfulness, compassion, and social change. He is also known for his collaboration with the Dalai Lama on various projects.
Quantum capacitance is a concept in condensed matter physics and nanotechnology that describes the capacitance associated with the density of states of a material at the quantum level. It is particularly relevant in systems where the electronic states are quantized, such as in quantum dots, two-dimensional electron gases, and other nanostructures. In classical capacitance, the capacitance (\(C\)) is defined as the ability of a system to store charge per unit potential difference.
Large cardinals are a type of cardinal number in set theory that possess certain strong and often intricate properties. They are considered to be "large" in the sense that they extend beyond the standard hierarchy of infinite cardinal numbers, such as countable and uncountable cardinals. Large cardinals are usually defined through various axioms or properties that imply their existence and strength.
Cardinal and ordinal numbers are two different types of numbers that serve different purposes: ### Cardinal Numbers Cardinal numbers are used to represent quantity or to count objects. They answer the question "how many?" For example: - 1 (one) - 2 (two) - 3 (three) - 10 (ten) - 100 (one hundred) In general, any number that indicates how many of something there are is considered a cardinal number.
Easton's theorem is a result in set theory that pertains to the structure of the continuum and the behavior of certain cardinal functions under the context of forcing and the existence of large cardinals. Specifically, it addresses the possibility of extending functions that assign values to cardinals in a way that respects certain cardinal arithmetic properties.
Equinumerosity is a concept in mathematics, particularly in set theory, that refers to the property of two sets having the same cardinality, or the same "number of elements." Two sets \( A \) and \( B \) are said to be equinumerous if there exists a one-to-one correspondence (or bijection) between the elements of the sets.
The Hartogs number is a concept from set theory and mathematical logic, specifically within the context of cardinal numbers. It is named after the mathematician Kuno Hartogs. The Hartogs number of a set is the smallest ordinal that cannot be injected into a given set.
In set theory, the symbol \( \Theta \) does not have a specific, widely recognized meaning. However, it is often used in various contexts, such as: 1. **Big Theta Notation**: In computational complexity and algorithm analysis, \( \Theta \) is used to describe asymptotic tight bounds on the growth rate of functions.
Larry Bird, one of the greatest basketball players of all time, has an extensive list of career achievements both as a player and in other roles within the sport. Here are some of his most notable accomplishments: ### As a Player 1. **NBA Championships**: 3 (1981, 1984, 1986) with the Boston Celtics. 2. **NBA Most Valuable Player (MVP)**: 3 times (1984, 1985, 1986).
LeBron James, one of the greatest basketball players of all time, has had an illustrious career filled with numerous achievements. Here’s a list of some of his most significant career accomplishments: 1. **NBA Championships**: - 4× NBA Champion (2012, 2013, 2016, 2020) 2.
Hakeem Olajuwon is widely regarded as one of the greatest centers in NBA history.
Kevin Garnett, often regarded as one of the greatest power forwards in NBA history, has had a remarkable career with numerous achievements and accolades. Here are some of his notable career achievements: 1. **NBA Championship**: 1 (2008 with Boston Celtics) 2. **NBA Most Valuable Player (MVP)**: 1 (2004) 3. **NBA Finals MVP**: 1 (2008) 4.
Shaquille O'Neal, one of the most dominant centers in basketball history, has had a prolific career both on and off the court. Here’s a list of some of his notable career achievements: ### NBA Achievements: 1. **4× NBA Champion** (2000, 2001, 2002, 2006) 2. **3× NBA Finals MVP** (2000, 2001, 2002) 3.
Geographic Information Systems (GIS) are tools and technologies used to collect, analyze, manage, and visualize spatial or geographic data. GIS enables users to understand patterns, relationships, and trends in geographic context by integrating various forms of data, including maps, satellite imagery, and demographic information. Here are some key components and functions of GIS: 1. **Data Capture**: GIS can gather geographic data from various sources, including GPS devices, remote sensing, aerial surveys, and existing databases.
Circles of latitude, also known simply as latitudes, are imaginary horizontal lines that encircle the Earth parallel to the Equator. They are used to specify the north-south position of a point on the Earth's surface. Each circle of latitude is expressed in degrees, ranging from 0° at the Equator to 90° at the poles (90°N at the North Pole and 90°S at the South Pole).
The Coastline Paradox refers to the counterintuitive observation that the measured length of a coastline can vary significantly depending on the scale of the measurement tool used. This phenomenon arises from the fractal nature of coastlines and the complexity of their shapes.
Wikis about geography are collaborative online platforms that allow users to create, edit, and share information related to various geographical topics. These wikis can cover a wide range of subjects, including: 1. **Geographical Features**: Information about mountains, rivers, lakes, valleys, and other physical features of the Earth. 2. **Countries and Regions**: Detailed entries on different countries, states, and regions, including their geography, culture, history, and demographics.

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