"Translators of Omar Khayyám" refers to the various individuals and translators who have rendered the works of the Persian poet and philosopher Omar Khayyám into other languages, most notably English. Khayyám, who lived during the 11th and 12th centuries, is best known for his Rubaiyat, a collection of quatrains that explore themes of love, nature, fate, and the passage of time.
Spring bloom refers to the period in spring when many plants, particularly flowering plants and trees, begin to produce flowers and new leaves after the dormant winter months. This phenomenon is critical for various ecological reasons, as it marks the beginning of the growing season for many species. During spring bloom, factors such as increasing temperatures, longer daylight hours, and the availability of water trigger the physiological processes in plants that lead to flowering.
The Station Biologique de Roscoff is a research facility located in Roscoff, Brittany, France. It is part of the French National Centre for Scientific Research (CNRS) and is dedicated to marine biology and oceanographic research. Established in the late 19th century, the station focuses on various areas of study, including marine ecology, algal biology, and biodiversity.
The Ocean Frontier Institute (OFI) is a research partnership based in Canada that focuses on advancing the understanding and sustainable management of ocean resources and ecosystems. It was established with the goal of fostering collaboration between academia, industry, and government to address complex challenges facing the ocean, particularly in the context of climate change, marine biodiversity, and ocean health. The OFI brings together scientists, researchers, and stakeholders to conduct interdisciplinary research aimed at improving our knowledge of ocean processes and the impacts of human activity.
Tropical Cyclone Heat Potential (TCHP) is a measure used to estimate the energy available in the ocean to fuel tropical cyclones (hurricanes or typhoons). It combines the depth and temperature of warm ocean waters. Specifically, TCHP takes into account the heat content of the upper layers of the ocean, typically down to a depth of about 100 meters or more, and focuses on water temperatures that are warm enough (generally above 26.
"Bliss" is an opera composed by Brett Dean, with a libretto by Amanda Holden. It is based on the 1997 novel of the same name by Peter Carey, which tells the story of a successful businessman who experiences a life-altering event that leads him to re-evaluate his existence. The opera explores themes of identity, desire, and the complexities of human relationships.
The AF + BG theorem is a concept in the field of mathematics, specifically in the area of set theory and topology. However, the notation AF + BG does not correspond to a widely recognized theorem or principle within standard mathematical literature or education. It's possible that this notation is specific to a certain context, course, or area of research that is not broadly covered.
The United States Exploring Expedition, also known as the Wilkes Expedition, was a significant scientific and exploratory mission led by Lieutenant Charles Wilkes of the United States Navy. It took place from 1838 to 1842 and aimed to explore and survey the Pacific Ocean and its surrounding regions. The expedition was one of the first to systematically explore and chart large portions of the Pacific, including the coasts of North America, South America, and the islands of the South Pacific.
The Dold–Kan correspondence is a fundamental theorem in algebraic topology and homological algebra that establishes a relationship between two important categories: the category of simplicial sets and the category of chain complexes of abelian groups (or modules). It is named after mathematicians Alfred Dold and D. K. Kan, who formulated it in the context of homotopy theory.
The Fundamental Lemma is a key result in the Langlands program, which is a vast and influential set of conjectures and theories in number theory and representation theory that seeks to relate Galois groups and automorphic forms. The Langlands program is named after Robert P. Langlands, who initiated these ideas in the late 1960s.
Whitehead's Lemma is a result in the field of algebraic topology, particularly in the study of homotopy theory and the properties of topological spaces. It deals with the question of when a certain kind of map induces an isomorphism on homotopy groups.
The Oka coherence theorem is a result in complex analysis and several complex variables, particularly in the field of Oka theory. Named after Shinsuke Oka, this theorem deals with the properties of holomorphic functions and their extensions in certain types of domains.
Human evolution theorists are scientists and researchers who study the evolutionary history of Homo sapiens and their ancestors. They explore how humans have evolved over millions of years through the lens of various scientific disciplines, including anthropology, genetics, archaeology, paleontology, and evolutionary biology. These theorists investigate the origins of humans, the evolutionary processes that have shaped our species, and the relationships among various hominins (the group that includes modern humans and our extinct relatives).
The Master Theorem is a powerful tool in the analysis of algorithms, particularly for solving recurrences that arise in divide-and-conquer algorithms. It provides a method for analyzing the time complexity of recursive algorithms without having to unroll the recurrence completely or use substitution methods.
The "No Free Lunch" (NFL) theorem in the context of search and optimization is a fundamental result that asserts that no optimization algorithm performs universally better than others when averaged over all possible problems. Introduced by David Wolpert and William Macready in the 1990s, the theorem highlights a crucial insight in the field of optimization and search algorithms. ### Key Concepts of the No Free Lunch Theorem 1.
Helly's theorem is a result in combinatorial geometry that deals with the intersection of convex sets in Euclidean space. The theorem provides a condition for when the intersection of a collection of convex sets is non-empty.
The Wallace–Bolyai–Gerwien theorem is a result in geometry related to the transformation of polygons. Specifically, it states that any two simple polygons of equal area can be dissected into a finite number of polygonal pieces that can be rearranged to form one another. The theorem has important implications in the study of geometric dissections, a topic that has intrigued mathematicians for centuries.
The Circle Packing Theorem is a result in mathematics that concerns arrangements of circles in a plane. Specifically, the theorem states that given any simple closed curve (a curve that does not intersect itself), it is possible to pack a finite number of circles within that curve such that all the circles are tangent to each other and to the curve.
The Erdős–Pósa theorem is a result in graph theory that deals with the relationship between the presence of certain subgraphs and the presence of certain structures in a graph. Specifically, it provides a relationship between the existence of a set of vertex-disjoint cycles in a graph and the existence of a set of vertices that intersects all these cycles. To state the theorem more formally, it addresses the case of cycles in graphs.

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