The term "Colón statue" commonly refers to a statue of Christopher Columbus, which can be found in various locations around the world. One of the most famous statues is located in Barcelona, Spain, near the waterfront at the end of La Rambla. This statue commemorates Columbus's voyage to the Americas in 1492 and symbolizes his role in the age of exploration. The statue typically depicts Columbus pointing toward the sea, signifying his voyage.
Serre's Conjecture II pertains to the field of algebraic geometry and representation theory, specifically concerning the properties of vector bundles on projective varieties. Proposed by Jean-Pierre Serre in 1955, the conjecture concerns the relationship between coherent sheaves (or vector bundles) on projective spaces and their behavior when pulled back from smaller-dimensional projective spaces.
In the context of mathematics, particularly in algebraic geometry and the study of schemes, the term "thin set" often refers to a certain type of subset of a geometric object that meets specific criteria. However, "Thin set (Serre)" specifically relates to Serre's conjecture (or the Serre's criterion) in the context of schemes.
A universal quadratic form is a specific type of quadratic form that has the property of representing all possible integers through its integer values. In other words, a quadratic form is called "universal" if it can represent every integer as a value of the form \( ax^2 + bxy + cy^2 \) (for integer coefficients \(a\), \(b\), and \(c\)) for appropriate integer inputs \(x\) and \(y\).
Simplex numbers, in the context of higher mathematics, typically refer to a generalization of numbers that are used to describe geometric structures known as simplices. A simplex is a generalization of a triangle or tetrahedron to arbitrary dimensions. 1. **Geometric Definition**: - A 0-simplex is a point. - A 1-simplex is a line segment connecting two points. - A 2-simplex is a triangle defined by three points (vertices).
A centered cube number is a specific type of figurate number that represents a three-dimensional cube with a center cube and additional layers of smaller cubes surrounding it. Specifically, the \( n \)-th centered cube number can be calculated using the formula: \[ C_n = n^3 + (n-1)^3 \] where \( C_n \) represents the \( n \)-th centered cube number and \( n \) is a positive integer.
"Descartes on Polyhedra" typically refers to René Descartes' work in which he explored the geometry of polyhedra, particularly his insights into their properties and relationships. One of the most notable contributions from Descartes in this area is his formulation of the relationship among the vertices, edges, and faces of polyhedra, which is encapsulated in what is now known as Euler's formula.
A dodecahedral number is a figurate number that represents a dodecahedron, a three-dimensional solid that has 12 flat faces, each of which is a regular pentagon.
A heptagonal number is a figurate number that represents a heptagon (a seven-sided polygon). The formula for the \(n\)-th heptagonal number \(H_n\) is given by: \[ H_n = \frac{n(5n - 3)}{2} \] where \(n\) is a positive integer.
Ancient Greek pottery figurines, often referred to as "figurines" or "votive figures," are small, sculptural representations crafted from clay, typically produced during various periods of Ancient Greek history, including the Geometric, Archaic, Classical, and Hellenistic periods. These figurines were usually made as part of pottery or as standalone objects and can take various forms, including human figures, deities, animals, and mythical creatures.
Anthropomorphic wooden cult figurines from Central and Northern Europe refer to carved wooden sculptures that embody human-like characteristics and are often associated with religious or spiritual practices. These figurines typically depict human figures, sometimes with exaggerated features, and are often linked to ancient beliefs, rituals, and cults in various cultures across these regions.
Byblos figurines refer to a type of small statuette that originates from the ancient city of Byblos, located in modern-day Lebanon. Byblos was an important Phoenician trading center and is known for its historical significance as one of the oldest continuously inhabited cities in the world. These figurines are typically made of limestone, alabaster, or other stone materials and often serve as representations of deities, humans, or mythological figures.
Grevensvænge figurines are a collection of small ceramic figurines discovered in an archaeological site in Denmark known as Grevensvænge. These figurines date back to the Early Iron Age (around 500 BCE to 1 CE) and are notable for their unique craftsmanship and artistic style. They often depict human figures, animals, and mythological scenes, reflecting the cultural and societal values of the time.
The Lady of Auxerre is an ancient Greek limestone statue that dates back to the Archaic period, specifically around the 650-600 BC. It was discovered in the early 19th century near Auxerre, France, and is considered one of the significant examples of early Greek art. The statue represents a standing female figure, often interpreted as a goddess, possibly representing a form of a votive offering.
Mississippian culture pottery refers to the ceramic traditions developed by the Mississippian culture, which flourished in the southeastern United States from approximately 800 AD to 1600 AD. This culture is characterized by its complex, hierarchical societies that built large, earthen mounds and engaged in extensive trade networks. The pottery of the Mississippian culture includes a variety of forms and decorative styles.
A "piggy bank" is a container, typically shaped like a pig, used for saving money. Traditionally, piggy banks are made of ceramic or plastic and have a slot on top for inserting coins. The idea behind a piggy bank is to encourage saving by making it fun and visually rewarding to see money accumulate inside. The term can also refer more broadly to any method of saving money or a savings account, especially in a child's context.
Sonny Angel is a popular collectible figurine series created by the Japanese company, Dream Rocket. Launched in 2004, Sonny Angel features cute, doll-like characters with a distinctive design, characterized by their angelic smiles, large heads, and small bodies. Each figure typically wears a different animal or fruit-themed costume, such as a bunny, panda, or strawberry, which makes them appealing to collectors of all ages.
Staffordshire figures refer to a type of ceramic figurine that originated in the Staffordshire region of England, particularly during the late 18th and 19th centuries. These figures are typically made from earthenware or porcelain and often depict a wide range of subjects, including animals, humans, and scenes from literature or history. The production of Staffordshire figures became prominent as part of the wider rise of ceramic manufacturing in England.
The "Tree of Life" (Árbol de la Vida) is a traditional form of Mexican pottery that originated in the state of Puebla. These vibrant, intricately designed pottery pieces often depict a large, stylized tree along with various figures, animals, and elements representing life, nature, and spirituality. The tree itself symbolizes growth, fertility, and the interconnectedness of all living things.
The Tübingen Hoplitodromos Runner refers to a remarkable ancient Greek statue that was discovered in Tübingen, Germany. This statue is a representation of a hoplitodromos, an athlete who participated in the hoplitodromos race, which was a foot race that involved runners wearing armor, akin to hoplites — heavily armed foot soldiers of ancient Greece.

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