Tadashi Nakayama is a Japanese mathematician known for his contributions to various areas of mathematics, including the study of mathematical analysis and operator theory. His work has been influential in understanding the properties of different mathematical objects and has been cited in research across these fields. Additionally, Nakayama has published numerous papers and has been involved in educational efforts in mathematics.
Robert M. Thrall is a prominent figure in the field of operations research and management science, particularly known for his contributions to decision analysis, issues of risk and uncertainty, and modeling complex systems. He has worked extensively on topics related to statistical decision theory, data analysis, and optimization. If you're referring to a different context or a specific work related to Robert M.
Robert Guralnick is an American author and music historian, best known for his biographies of influential musicians and his work on the history of popular music. He has written acclaimed biographies of artists such as Sam Cooke, Elvis Presley, and others, providing in-depth insights into their lives, careers, and impacts on music. Guralnick's writing is notable for its detailed research and narrative style that captures the essence of the music and culture of the times.
Sarah Glaz is a mathematician known for her work in algebra, particularly in the areas of combinatorial algebra, polynomial functions, and algebraic geometry. She has contributed to various mathematical research and has been involved in educational endeavors, promoting mathematics through teaching and mentoring.
"Vanishing islands" typically refers to islands that are disappearing due to a combination of factors, primarily climate change and rising sea levels. These islands are often low-lying and vulnerable to erosion and flooding, leading to their gradual disappearance. Some specific points about vanishing islands include: 1. **Climate Change**: As global temperatures rise, polar ice caps and glaciers melt, contributing to higher sea levels. This inundates low-lying coastal areas and islands.
In mathematics, a **GCD domain** (which stands for **Greatest Common Divisor domain**) is a type of integral domain that possesses certain properties regarding the divisibility of its elements. Specifically, an integral domain \( D \) is classified as a GCD domain if it satisfies the following conditions: 1. **Integral Domain:** \( D \) must be an integral domain (meaning it is a commutative ring with no zero divisors and has a multiplicative identity).
Fiction about time travel explores the concept of moving between different points in time, either to the past or the future. This genre raises intriguing questions about causality, free will, and the nature of time itself. Time travel can be depicted in various ways, often involving machines, magical artifacts, or supernatural abilities.
Spectral glide is a term often used in the context of music, sound design, and signal processing, referring to a gradual transition or sweep of frequencies over time. This technique can create dynamic changes in timbre or pitch, giving the listener the impression of movement or evolution within the sound.
Slack tide refers to the short period of time between the changing of tides when the water is relatively calm and there is little to no horizontal water movement. It occurs at the transition between high tide and low tide, as well as between low tide and high tide. During slack tide, the water level is at its highest or lowest point before starting to rise or fall again.
Spectral music is a compositional technique and style that emerged in the late 20th century, primarily in the 1970s. It is characterized by its focus on the analysis and manipulation of sound spectra—essentially, the frequency content of sound. Composers in this genre analyze the harmonic and timbral characteristics of sounds, often employing computer technology to examine and synthesize these elements.
The "Northern Lights chord" is not a widely recognized term in music theory or practice. However, it may refer to a specific chord associated with an atmospheric or ethereal sound, often used in contemporary music to create a sense of wonder or mystique, similar to the visual experience of the Northern Lights (Aurora Borealis).
"Martian Time-Slip" is a science fiction novel written by Philip K. Dick, first published in 1964. The story is set on a colonized Mars and explores themes of reality, perception, and time.
A time loop is a conceptual situation often found in science fiction and fantasy narratives in which a character or group of characters find themselves reliving a particular period of time over and over again. In these scenarios, the individuals are typically unaware that they are stuck in the loop at first, and they may experience the same events, make the same choices, and encounter the same consequences repeatedly.
Flash photolysis is a technique used in spectroscopy and photochemistry to study rapid chemical reactions and dynamics. It involves the use of a brief, intense flash of light (typically ultraviolet or visible light) to initiate a chemical reaction or to excite molecules from a ground state to an excited state. The general procedure includes the following steps: 1. **Preparation**: A sample containing the chemical species of interest is prepared in a suitable medium, such as a gas or liquid.
Bayesian Structural Time Series (BSTS) is a framework used for modeling and forecasting time series data that incorporates both structural components and Bayesian methods. The BSTS framework is particularly useful for analyzing data with complex patterns, such as trends, seasonality, and irregularities, while also allowing for the incorporation of various types of uncertainty. ### Key Components of Bayesian Structural Time Series: 1. **Structural Components**: - **Trend**: Captures long-term movements in the data.
A deflator is an economic measure used to adjust nominal economic indicators, such as Gross Domestic Product (GDP), to account for changes in price levels over time. It allows for the differentiation between real growth (adjusted for inflation) and nominal growth (not adjusted for inflation).
The Hodrick-Prescott (HP) filter is a mathematical tool used in macroeconomics and time series analysis to decompose a time series into a trend component and a cyclical component. It is particularly useful for analyzing economic data, such as GDP or other macroeconomic indicators, to separate the long-term trend from short-term fluctuations.
"Songs & More Songs by Tom Lehrer" is a compilation album by American musician and satirist Tom Lehrer. Released in 1965, the album features a collection of Lehrer's humorous and clever songs, showcasing his unique style of combining wit with musical talent. Lehrer is known for his satirical take on a variety of topics, including politics, education, and social issues, often using a blend of classical music influences and catchy melodies.

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