Ramin Zabih is a notable figure in the field of computer science and artificial intelligence. He is particularly recognized for his contributions to computer vision, machine learning, and image processing. His work often involves the development of algorithms and techniques for analyzing visual data. In addition to his research contributions, Zabih has also been involved in academia, serving as a professor and mentor to students in related fields.
A dyadic rational is a type of number in the form of \(\frac{m}{2^n}\), where \(m\) is an integer and \(n\) is a non-negative integer. In other words, dyadic rationals are fractions where the denominator is a power of 2.
Stephen Kent is a notable figure in the field of network security, particularly recognized for his contributions to cryptography and security protocols. He has played a significant role in research and development related to network security standards and technologies. One of his key contributions includes work on public key infrastructure (PKI) and the development of security protocols that help protect data transmitted over networks.
Tracy Camp is a prominent computer scientist known for her contributions to the fields of computer science and computer engineering, particularly in areas such as computer networks and parallel and distributed computing. She is a professor at the Colorado School of Mines and has been involved in various research projects centered on networking protocols, optimization, and resource allocation in distributed systems.
Donald Knuth is a renowned American computer scientist, mathematician, and professor emeritus at Stanford University, best known for his groundbreaking work in algorithms and typesetting. He is the author of the influential multi-volume work "The Art of Computer Programming" (TAOCP), which covers various algorithms and data structures in depth. Knuth is also known for creating the TeX typesetting system, which is widely used for producing high-quality mathematical documents and academic publications.
Jennifer Scott is a mathematician known for her work in the field of topology and its applications. She is often associated with the study of algebraic topology, category theory, and related areas. Specifics about her contributions might include research papers, conference presentations, or involvement in mathematical education.
Miroslav Krstić is a name associated with a prominent mathematician and academic known for his work in control theory, specifically in the area of nonlinear systems. As of my last knowledge update in October 2023, he has contributed significantly to the field through research, publications, and teaching.
Purple prose refers to writing that is overly elaborate, ornate, or extravagant in style, often to the point of being excessive or distracting. It typically features flowery language, excessive adjectives, and complex sentence structures that can overshadow the content of the writing itself. While the intention may be to create vivid imagery or evoke strong emotions, purple prose can come across as pretentious or insincere. It's often criticized because it can detract from clarity and make it difficult for readers to engage with the material.
The Fundamental Theorem of Algebra states that every non-constant polynomial equation of degree \( n \) with complex coefficients has exactly \( n \) roots in the complex number system, counting multiplicities.
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 \(y\).
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.
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.
Symplectomorphism refers to a specific type of mapping between symplectic manifolds that preserves the symplectic structure. In more detail, a symplectic manifold is a smooth manifold \( M \) equipped with a closed non-degenerate 2-form \( \omega \), known as the symplectic form. This form allows one to define a geometry that is particularly important in the context of Hamiltonian mechanics and classical physics.
Tait's conjecture is a statement in graph theory and topology related to the study of knot diagrams. Proposed by the Scottish mathematician Peter Tait in the 19th century, the conjecture specifically pertains to the number of crossings in alternating knot diagrams.
Dyadic cubes refer to a specific type of geometric structure used primarily in the context of measure theory, geometric measure theory, and analysis, particularly in settings that involve the study of functions and their properties in Euclidean spaces.
The Poisson boundary is a concept that arises in the study of stochastic processes, particularly in the context of Markov processes and potential theory. It is closely related to the idea of harmonic functions and represents a boundary condition that helps to understand the behavior of a stochastic process at infinity or at certain boundary points.
A "tube domain" generally refers to a type of mathematical structure or setting, often associated with certain areas in differential geometry or algebraic geometry. However, the term can have different meanings depending on the specific context in which it's used. One well-known context for "tube domain" is in the study of several complex variables and complex analysis.
Kelly Korreck is not a widely recognized figure or term, and as of my last update in October 2023, there is no specific information available about an individual or concept by that name that stands out in popular culture, history, or other well-known fields. It's possible that Kelly Korreck could refer to a private individual, a character in a lesser-known work, or a term specific to a particular niche or community.
A substitution cipher is a type of encryption technique where each letter in the plaintext is systematically replaced with another letter or symbol to create the ciphertext. The substitution can be done in various ways, such as using a fixed alphabet where each letter in the original message is replaced by a corresponding letter from a shuffled alphabet, or by using more complex keys.
Hidden variable theory is a concept in quantum mechanics that proposes the existence of additional parameters or variables (referred to as "hidden variables") that determine the behavior of quantum systems. These hidden variables are thought to provide a more complete description of quantum phenomena, potentially addressing the randomness and indeterminacy inherent in standard quantum mechanics. In standard quantum mechanics, the outcomes of measurements are probabilistic.

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 5. . 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.
  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