Kirchberger's theorem pertains to the field of mathematics, specifically in the area of graph theory and combinatorial optimization. The theorem is often involved with properties of vertices and edges in graphs, particularly in relation to specific configurations or arrangements. However, it’s important to note that Kirchberger's theorem is not as widely known as some other mathematical theorems, so detailed and widely recognized references might be limited.
Tverberg's theorem is a result in combinatorial geometry that concerns the division of points in Euclidean space. It states that for any set of \( (r-1)(d+1) + 1 \) points in \( \mathbb{R}^d \), it is possible to partition these points into \( r \) groups such that the \( r \) groups share a common point in their convex hulls.
The Erdős–Stone theorem is a fundamental result in extremal graph theory, which deals with understanding the maximum number of edges in a graph that does not contain a particular subgraph. Specifically, the theorem provides a way to determine the asymptotic behavior of the maximum number of edges in a graph on \( n \) vertices that does not contain a complete subgraph \( K_r \) (the complete graph on \( r \) vertices) as a subgraph.
Theorems about polygons constitute a significant part of geometry, focusing on the properties, relationships, and characteristics of various types of polygons.
As of my last knowledge update in October 2023, there isn't any widely recognized individual, brand, or entity known specifically as "Ervin Bauer." It’s possible that it could refer to a private individual, a lesser-known business, or a character in a work of fiction.
Barbier's theorem is a result in geometry concerning the relationship between the perimeter of a plane figure and the circumference of a circle that has the same area as that figure. Specifically, Barbier's theorem states that for any plane figure, the perimeter of the figure is greater than or equal to the circumference of the circle that has the same area. The equality holds if and only if the figure is a circle.
Holditch's theorem is a result in the field of geometry, specifically in topology related to convex polyhedra. It states that any two convex polyhedra with the same number of vertices, edges, and faces are combinatorially equivalent, meaning they can be transformed into one another through a series of edge-edge and face-face correspondences while preserving the connectivity structure.
The "Tribune of Galileo" refers to an important technological and scientific development associated with Galileo Galilei, the renowned Italian astronomer, physicist, and mathematician of the Renaissance period. The term may be used in several contexts, but it primarily relates to Galileo's contributions to the fields of astronomy and observational science. One of the most notable aspects of Galileo's work involved the use of the telescope, which he improved and used to make groundbreaking astronomical observations.
"Hypatia" is a historical novel written by Charles Kingsley, published in 1853. The story is set in Alexandria, Egypt, during the late Roman Empire and revolves around the life of Hypatia, a renowned female philosopher, mathematician, and astronomer of the time. Kingsley's portrayal of Hypatia highlights her intellectual pursuits and her struggles against the rising tide of religious conflict, particularly the tensions between paganism and Christianity.
"The Physicists" is a play written by Swiss dramatist Friedrich Dürrenmatt, first performed in 1962. The play is a dark comedy that explores themes of science, ethics, responsibility, and the consequences of knowledge. The story is set in a sanatorium for the mentally ill, where three physicists—each pretending to be insane for various reasons—find themselves in a complex situation that reflects on human nature and the potential dangers of scientific discoveries.
"Kepler" is an opera composed by the German composer and conductor, Philip Glass. It premiered in 2009 and is based on the life and work of the renowned astronomer Johannes Kepler, who is known for his laws of planetary motion and contributions to the scientific revolution during the 17th century. The opera explores themes of science, metaphysics, and the human experience, focusing on Kepler's quest for knowledge and his struggles against the societal and intellectual challenges of his time.
The Nicolaus Copernicus Monument in Chicago is a statue commemorating the famous Renaissance astronomer Nicolaus Copernicus, who is best known for his heliocentric theory, which posited that the Earth and other planets revolve around the Sun. Located in a park dedicated to his memory, the monument celebrates Copernicus's contributions to science and astronomy.
Bruno Buchberger is an Austrian mathematician and computer scientist, known primarily for his contributions to the field of computational mathematics and computer algebra. He is particularly recognized for developing the Gröbner basis theory, which is fundamental in solving systems of polynomial equations and has applications in various areas such as algebraic geometry, robotics, and coding theory.
Conrad Habicht can refer to different things, but it’s often associated with historical figures or specific ventures. One notable reference is to **Conrad Habicht (1860–1933)**, who was a physicist primarily remembered for his contributions to the early development of quantum mechanics. He was associated with various scientific endeavors and collaborations during his time.
Frederick Purser may refer to several individuals, but he is most widely recognized as an Irish politician and a member of the British Parliament during the late 19th and early 20th centuries. He served as a member of the Irish Parliamentary Party and was known for advocating for Irish rights and home rule.
A Troika is a type of amusement ride that typically consists of a series of chairs or seats suspended from a rotating arm. The ride usually has multiple arms that pivot around a central axis, allowing the seats to swing outward as the ride spins. This combination of rotation and swinging motion creates a thrilling experience for riders, as they feel both the forces of centrifugal motion and the sensation of flying outwards.
Graham Allan may refer to various individuals or contexts depending on the specific area of interest. Without further context, it is difficult to pinpoint exactly which Graham Allan you are referring to. 1. **Graham Allan (Artist)**: There might be an artist or designer by this name. 2. **Graham Allan (Business)**: He could be associated with a particular business or organization.
Marko Petkovšek is a notable figure in the fields of mathematics and combinatorics, particularly known for his work on hypergeometric functions and their applications. He is most recognized for his contributions to special functions, and he has co-authored various papers and books on related topics. In particular, Petkovšek is well-regarded for his role in developing the algorithmic aspects of symbolic computation, significantly contributing to the understanding of different mathematical sequences and their properties.
DNA profiling, also known as DNA fingerprinting or genetic profiling, is a forensic technique used to identify and compare the genetic material of individuals. It involves analyzing specific areas of the DNA that are highly variable among individuals, known as polymorphisms. Here are the key steps and components of DNA profiling: 1. **Sample Collection**: DNA can be extracted from various biological samples, such as blood, saliva, hair, skin cells, or other bodily fluids.

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