As of my last knowledge update in October 2021, Gady Kozma is not widely recognized in mainstream media or literature, so there may not be readily available information about a prominent figure or concept by that name. It's possible that Gady Kozma refers to a person who gained recognition after that time or is notable in a specific field that wasn't widely publicized.
Henri Brocard (1845–1922) was a French mathematician known for his contributions to number theory and various aspects of mathematics. He is perhaps best known for his work on Diophantine equations and for the Brocard sequence, which is a sequence of integers that arises in number theory. Additionally, he is remembered for his contributions to mathematical education and for promoting mathematics through his writings and lectures.
Nikolai Lobachevsky (1792–1856) was a Russian mathematician known primarily for his contributions to geometry, particularly for developing the concept of non-Euclidean geometry. He is often referred to as the "father of non-Euclidean geometry." Lobachevsky challenged the long-held assumption in Euclidean geometry that through any point not on a given line, there is exactly one line parallel to the given line.
Virgil of Salzburg, also known as Saint Virgil, was an important early Christian bishop and theologian in what is now Austria. He is believed to have been born around 700 AD and is recognized for his role as the Bishop of Salzburg from approximately 745 until his death in 784. Virgil is known for his contributions to the spread of Christianity in the region and his efforts in establishing monastic and ecclesiastical structures.
Hilbert's axioms refer to a set of axiomatic foundations for geometry proposed by the mathematician David Hilbert in his influential work "Foundations of Geometry" (originally published in 1899). Hilbert aimed to provide a more rigorous and complete framework for Euclidean geometry than what was offered in Euclid's Elements. His axioms are organized into several groups that correspond to different types of geometric concepts.
"Surfaces" can refer to different concepts depending on the context. Here are a few interpretations: 1. **Mathematics and Geometry**: In mathematics, particularly in geometry, a surface is a two-dimensional shape that can exist in three-dimensional space. Examples include spheres, planes, and more complex shapes like toruses or paraboloids. Surfaces can be described mathematically using equations.
Statistical shape analysis is a field of study that focuses on the statistical analysis of shapes, often in the context of biological and medical data, but also applicable in various other domains. It involves the mathematical modeling and comparison of shapes, allowing researchers to quantify and analyze the variations and features of shapes across different objects or populations. Key elements of statistical shape analysis include: 1. **Shape Representation**: Shapes can be represented in various forms, such as points, curves, or surfaces.
The term "Triple Helix" refers to a model of innovation that emphasizes the collaboration between three key sectors: academia, industry, and government. This concept is used to explain how these three entities can interact and collaborate to foster economic growth, technological advancement, and social innovation. 1. **Academia**: Represents research institutions and universities that generate knowledge, conduct research, and develop new technologies.
A parity graph is a type of graph that is primarily focused on the concept of parity, which pertains to whether the count of certain elements (like vertices or edges) is even or odd. In the context of graph theory, parity graphs can be understood in various ways depending on the specific problem or application being addressed. One common interpretation of parity graphs involves **vertex parity**.
Ptolemy's inequality is a mathematical statement that relates the lengths of the sides and diagonals of a cyclic quadrilateral. A cyclic quadrilateral is a four-sided figure (quadrilateral) where all vertices lie on the circumference of a single circle.
Proper motion is the apparent angular motion of a star or other celestial object across the sky, as observed from a specific location over time. It is measured in arcseconds per year and represents the object's movement perpendicular to the line of sight from the observer. Proper motion is a consequence of the object's actual motion through space relative to the observer, combined with the effects of the observer's position (like being on Earth) and the object's distance.
The Lucchesi–Younger theorem is a result in the field of combinatorial optimization, particularly related to the study of directed graphs and their networks. The theorem states that for any directed acyclic graph (DAG), there exists a way to assign capacities to the edges of the graph such that the maximum flow from a designated source node to a designated sink node can be achieved by the flow through a certain subset of the edges.
The New Digraph Reconstruction Conjecture is a conjecture in graph theory, specifically concerning directed graphs (digraphs). It builds upon the classical Reconstruction Conjecture concerning simple (undirected) graphs. The classical Reconstruction Conjecture posits that a graph with at least three vertices can be uniquely reconstructed (up to isomorphism) from the collection of its vertex-deleted subgraphs.
In graph theory, the graph product is a way to combine two graphs to create a new graph. There are several types of graph products, each with different properties and applications.
The tensor product of graphs, also known as the Kronecker product or categorical product, is a way to combine two graphs into a new graph.
The Herschel graph, also known as the Herschel-Dickson graph, is a specific type of undirected graph that is notable in the study of mathematical graphs and combinatorial design. It is a bipartite graph that is defined as follows: 1. **Vertices**: The Herschel graph consists of 14 vertices. It can be visualized as having two sets of vertices: - One set consists of 7 vertices (usually denoted as \( U \)).
A Walther graph is a type of graph that arises in the context of graph theory, particularly in the study of order types and combinatorial structures. It is constructed using the points of a finite projective plane. Specifically, a Walther graph is formed from a set of points and lines in a projective plane, where the vertices of the graph represent points, and edges connect pairs of vertices if the corresponding points lie on the same line.
A block graph is a type of graph that is particularly used in computer science and graph theory. It is a representation of a graph that groups vertices into blocks, where a block is a maximal connected subgraph that cannot be separated into smaller connected components by the removal of a single vertex. In simpler terms, blocks represent parts of the graph that are tightly connected and removing any one vertex from a block won't disconnect the block itself.
A **cluster graph** is a type of graph in graph theory that consists of several complete subgraphs, known as clusters, that are connected by edges in a structured way. More specifically, it can be defined as follows: - **Clusters**: Each cluster is a complete graph where every pair of vertices within that cluster is connected by an edge. If a cluster has \(k\) vertices, it contains \( \frac{k(k-1)}{2} \) edges.
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!
Intro to OurBigBook
. Source. We have two killer features:
- 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-calculusArticles 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/derivativeVideo 2. OurBigBook Web topics demo. Source. - 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.
- to OurBigBook.com to get awesome multi-user features like topics and likes
- as HTML files to a static website, which you can host yourself for free on many external providers like GitHub Pages, and remain in full control
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. - Infinitely deep tables of contents:
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





