A rectified truncated tetrahedron is a geometric shape that results from the modification of a regular tetrahedron through two operations: truncation and rectification. 1. **Truncation**: This process involves cutting off the vertices of the tetrahedron. When you truncate a tetrahedron, you replace each of its four vertices with a new face (which, for a tetrahedron, will be a triangle). This operation creates additional edges and faces in the shape.
A small hexagonal hexecontahedron is a polyhedron that is classified as a member of the family of convex polyhedra. Specifically, it is a type of Archimedean solid. The term "hexecontahedron" indicates that it has 60 faces. In the case of the small hexagonal hexecontahedron, these faces include hexagons and other polygons.
The snub square antiprism is a type of Archimedean solid, which is a convex polyhedron that has identical vertices and faces that are regular polygons. Specifically, the snub square antiprism can be described as a modification of the square antiprism. It has the following characteristics: - **Faces**: The snub square antiprism has 38 faces in total, consisting of 8 triangles and 30 squares.
A triangular bifrustum is a three-dimensional geometric shape that is essentially formed by truncating the top and bottom of a triangular prism. Specifically, it consists of two parallel triangular bases—one larger than the other—and three rectangular lateral faces that connect the corresponding sides of the two triangular bases.
A triangular hebesphenorotunda is a type of convex polyhedron, which belongs to a specific category of Archimedean solids. To understand it better, it can be described as a truncated version of a triangular prism combined with the properties of other geometric shapes. Here's a breakdown of the name: - **Triangular:** This refers to the shape of the base, specifically that it is a triangle.
A trigonal trapezohedron is a type of polyhedron that has specific characteristics and belongs to the category of trapezohedra. It has 6 faces, each of which is a kite shape. The vertices of a trigonal trapezohedron correspond to the faces of a triangular bipyramid. The trigonal trapezohedron can be thought of as a convex polyhedron that has: - **Faces**: 6 faces, all of which are congruent kites.
Robert R. Jensen is a prominent figure in several fields, including economics, business, and academia, with notable contributions as a researcher and educator. However, without further context, it's difficult to pinpoint a specific individual, as there might be several people with that name involved in various domains. If you could provide more details about the context in which you're asking about Robert R.
Ed Perkins is known as a travel expert and writer, particularly in the field of travel advice and consumer advocacy. He has contributed to various publications and has a reputation for providing insights on travel deals, airline policies, and strategies for budget travel. Perkins is recognized for his experience and knowledge regarding the travel industry and has shared valuable tips for travelers seeking to navigate the complexities of booking and experiencing travel.
Gordon Foster is commonly known as a character from the television series "Gordon Ramsay's Kitchen Nightmares," where the chef visits struggling restaurants to help them improve their business and culinary practices. However, it's also worth noting that there are several individuals and characters with the name "Gordon Foster" in various contexts, such as literature or entertainment.
As of my last knowledge update in October 2023, "Ruma Falk" does not appear to refer to a widely recognized person, place, concept, or term. It could potentially be a less-known individual, a fictional character, or a term used in a specific context that may not be widely documented.
A Hurwitz surface is a specific type of mathematical object in the field of algebraic geometry and topology. It is a smooth (or complex) surface that arises in the study of branched covers of Riemann surfaces. More specifically, Hurwitz surfaces are associated with the study of coverings of the Riemann sphere (the complex projective line) and are tied to the Hurwitz problem, which deals with the enumeration of branched covers of a surface.
Refinement types are a type system feature that extends traditional type systems by allowing types to express more specific properties or constraints about values. They enable programmers to specify not just what type a value is, but also certain predicates that must hold true for values of that type. In a typical type system, a type like `Integer` simply describes integers without any additional constraints. Refinement types allow for the expression of constraints like "positive integers" or "even integers".
"Zero: The Biography of a Dangerous Idea" is a book written by Charles Seife, published in 2000. The book explores the history, philosophy, and implications of the concept of zero in mathematics and beyond. Seife discusses how the idea of zero has influenced various fields, including mathematics, science, and even theology, and he highlights the cultural and historical resistance to the acceptance of zero in different societies.
Poetic forms refer to the various structures and conventions that define the arrangement and composition of poetry. These forms often dictate aspects such as rhyme schemes, meter, line length, and overall organization. Different poetic forms can convey different emotions, themes, and styles. Here are some common types of poetic forms: 1. **Sonnet**: A 14-line poem typically written in iambic pentameter.
In the context of literature, "genius" refers to an exceptional intellectual or creative power or an individual endowed with such ability. This concept often encompasses extraordinary talent in writing, creativity, and insight that sets a literary figure apart from their peers. The term has been used to describe authors and poets who produce works that reflect profound understanding, innovation, and artistry.
George Puttenham (c. 1520–1590) was an English poet and writer known primarily for his work on rhetoric and poetics. He is best remembered for his book "The Art of English Poesy," written around 1589 and published posthumously in 1599. This work is considered one of the first comprehensive discussions of English poetic theory and practice.
Jacques Derrida (1930–2004) was a French philosopher best known for developing a form of philosophical and literary analysis known as "deconstruction." His work challenged the traditional assumptions of Western philosophy, particularly the ideas about language, meaning, and textual interpretation. Derrida argued that language is inherently unstable and that meaning is not fixed but contingent and subject to reinterpretation. This perspective led him to deconstruct texts to reveal the complexities and contradictions embedded within them.
Mark Turner is a cognitive scientist and a prominent figure in the fields of cognitive linguistics and cognitive science. He is known for his work on the conceptual foundations of language, thought, and communication. Turner has contributed significantly to the understanding of how metaphor and narrative shape human thought processes and how they influence language use. One of his key ideas is the concept of "conceptual blending," which explores how individuals combine different mental spaces to create new meanings.
An elevator pitch is a brief, persuasive speech that you can use to spark interest in what you or your organization does. It’s called an "elevator pitch" because it should be short enough to deliver during a brief elevator ride, typically lasting around 30 seconds to 2 minutes. The goal of an elevator pitch is to quickly convey your ideas, product, or service in a way that captures the listener's interest.
Hypocorism is a term used in linguistics and philology to describe a pet name or a term of endearment, often derived from a person's given name. This affectionate form typically involves alterations or diminutive forms, making the name sound softer or more familiar. For example, "Johnny" can be considered a hypocorism of "John," and "Maggie" can come from "Margaret.

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