An Order Statistic Tree is a type of balanced binary search tree (BST) that allows the efficient retrieval of the k-th smallest (or largest) element in a dynamic set of data. It extends the functionality of standard binary search trees by augmenting each node with additional information that helps maintain order statistics. ### Key Features of Order Statistic Tree: 1. **Augmented Nodes**: Each node in the tree maintains an extra attribute, often referred to as the "size" of the subtree.
The "median of medians" is an algorithm used in computer science to select an approximate median from a list of numbers. It serves as a method to perform a good pivot selection in selection algorithms like Quickselect, which can be used to find the k-th smallest (or largest) element in an unordered list. ### How the Median of Medians Algorithm Works 1. **Divide the List**: Split the list into groups of a fixed size, typically 5.
Nigel Lockyer is a physicist and a leader in the field of particle physics. He has played significant roles in various research projects and institutions, particularly in the study of neutrinos and other fundamental particles. Lockyer has served as the director of the Fermi National Accelerator Laboratory (Fermilab) in the United States, where he has been involved in advancing research in high-energy physics and overseeing major experiments.
Norna Robertson is not a widely recognized or well-documented figure or term, as of my last knowledge update in October 2023. It's possible that it could refer to a specific individual, perhaps a lesser-known author, artist, or a character in a story, or it might relate to a niche topic not widely covered.
Robert Jack is a physicist known for his work in statistical mechanics and theoretical physics. He has contributed to the understanding of complex systems, nonequilibrium dynamics, and the foundations of statistical mechanics. His research often explores how macroscopic behavior emerges from microscopic interactions and has implications for various fields, including biology, materials science, and statistical physics.
Robert Symmer is a name that may refer to various individuals, but in historical context, it is most commonly associated with a Scottish mathematician and engineer known for his work in the 18th century. He is particularly noted for his contributions to the field of mathematics and for being one of the early figures in the development of mathematical theories.
Ronald Drever was a Scottish physicist known for his significant contributions to the field of gravitational physics, particularly in the development of laser interferometry techniques used in gravitational wave detection. He was one of the founding members of the LIGO (Laser Interferometer Gravitational-Wave Observatory) project, which made headlines in 2015 when it first directly detected gravitational waves, confirming a key prediction of Albert Einstein's general theory of relativity.
Samuel Curran is an English cricketer known for his all-rounder capabilities. Born on June 3, 1998, in Northampton, England, he plays as a left-handed batsman and as a right-arm medium-fast bowler. Curran gained prominence while playing for the England national team and has also had success in domestic cricket, representing teams like Surrey.
Thomas Charles Hope (1766-1844) was a Scottish physician and anatomist best known for his contributions to medical education and his work in the field of physiology. He was a professor of chemistry and anatomy at the University of Edinburgh and played a significant role in advancing anatomical studies during his time. Hope is perhaps most recognized for his study of the human body's structure and function, as well as his research on various medical topics.
William Jolly Duncan is best known as a Scottish psychologist, particularly recognized for his contributions to the field of intelligence testing and psychometrics. He was born in 1894 and passed away in 1970. Duncan developed the "Duncan formula," which is associated with measuring intelligence and cognitive abilities. His work has influenced how we understand and measure various aspects of intelligence and performance.
William Peddie could refer to various individuals or entities, but without further context, it's unclear which specific William Peddie you are inquiring about.
Climate change in Greenland is primarily characterized by the accelerated melting of its ice sheets and glaciers, rising temperatures, changing precipitation patterns, and impacts on ecosystems and local communities. Here are some key aspects: 1. **Melting Ice Sheets**: Greenland's ice sheet is the second largest in the world, and it has been losing mass at an accelerated rate due to rising temperatures. This melting contributes to global sea level rise, which poses risks to coastal communities worldwide.
The Computer Edition of Scrabble refers to a digital version of the classic board game Scrabble, designed to be played on computers or gaming consoles. These editions typically replicate the rules and gameplay of traditional Scrabble but include features specific to the digital format, such as: - **Single-player and Multiplayer Options**: Players can compete against computer opponents or against other players online. - **AI Opponents**: Many versions include intelligent AI that can adapt to the player's skill level.
Antarctic sea ice refers to the frozen seawater that forms in the Southern Ocean surrounding Antarctica. This sea ice plays a critical role in the Earth's climate system and has several important characteristics: 1. **Formation**: Antarctic sea ice typically forms during the winter months (from March to September) when temperatures drop and seawater freezes. Its extent can vary significantly throughout the year, reaching a maximum in September and a minimum in February.
Arctic sea ice decline refers to the significant reduction in the extent and thickness of sea ice in the Arctic Ocean and its surrounding seas. This phenomenon has been especially evident since the late 20th century and is primarily driven by climate change due to global warming. Several key points about Arctic sea ice decline include: 1. **Extent and Thickness**: Satellite observations have shown a marked decrease in both the extent (the area covered by sea ice) and thickness of Arctic sea ice.
The Early Holocene sea level rise refers to the significant increase in global sea levels that occurred during the early part of the Holocene epoch, which began around 11,700 years ago and lasted until about 5,000 years ago. At the end of the last Ice Age, melting glaciers and ice sheets contributed to a rapid rise in sea levels as the large volumes of water trapped in ice returned to the oceans.
Climate change in the Arctic refers to the significant and rapid alterations in the region's climate and environmental conditions due to global warming and other anthropogenic influences. The Arctic has been warming at a rate nearly twice as fast as the global average, a phenomenon known as Arctic amplification. This has profound impacts on the ecosystem, local communities, and global weather patterns. Key aspects include: 1. **Temperature Rise**: Arctic temperatures have increased significantly over the last few decades, resulting in warmer air and ocean temperatures.
Congelation ice is a type of ice that forms under specific conditions, typically in glacial environments. It is characterized by its dense, crystalline structure and is formed from the freezing of water that is under pressure. This type of ice often results from the gradual accumulation of snow and ice layers in glaciers, where the weight of the overlying material compresses the lower layers, causing them to recrystallize into a more compact form.
Drift ice, also known as pack ice, refers to fragments of sea ice that are free-floating and not anchored to any landmass. It typically forms in polar and subpolar regions where the temperatures are low enough to allow the sea surface to freeze. Drift ice can vary in size and thickness and can be composed of both young ice, which is thinner, and older ice, which can be thicker and more compact.
A drifting ice station refers to a research facility located on sea ice, typically in polar regions, that is designed to study various aspects of the environment, including weather, oceanography, and climate change. These stations are strategically placed on floating ice sheets in areas like the Arctic or Antarctic, where they can drift with the movement of the ice.
Pinned article: ourbigbook/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!
Intro to OurBigBook
. Source. We have two killer features:
- 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-calculusArticles 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/derivativeVideo 2. OurBigBook Web topics demo. Source. - 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.
- to OurBigBook.com to get awesome multi-user features like topics and likes
- as HTML files to a static website, which you can host yourself for free on many external providers like GitHub Pages, and remain in full control
Figure 2. You can publish local OurBigBook lightweight markup files to either OurBigBook.com or as a static website.Figure 3. Visual Studio Code extension installation.Figure 5. . 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. - Infinitely deep tables of contents:
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