Jonathan Rosenberg is an American mathematician known for his contributions to various areas in mathematics, particularly in algebraic topology, geometric topology, and the theory of operator algebras. He has worked extensively on topics related to K-theory, as well as the interactions between topology and algebra. Rosenberg has authored or co-authored several research papers and books, and his work often explores the connections between different mathematical disciplines. He is also known for his teaching and mentorship in the field of mathematics.
Yakov Eliashberg is a prominent Russian-American mathematician, known for his contributions to the fields of symplectic geometry and topology. Born on December 17, 1946, Eliashberg has made significant advancements in the understanding of symplectic manifolds and was a key figure in the development of the theory surrounding Weinstein neighborhoods and the h-principle. His work has had a substantial impact on both geometry and mathematical physics.
The Barth–Nieto quintic is a specific type of algebraic variety that is notable in the study of complex geometry and algebraic geometry. It is defined as a smooth quintic hypersurface in \(\mathbb{P}^4\) (the complex projective space of dimension 4) given by a particular polynomial.
A Poisson-Lie group is a mathematical structure that arises in the study of both differential geometry and theoretical physics, particularly in the context of integrable systems and quantum groups. It combines the ideas of Poisson geometry and Lie group theory. ### Definitions 1. **Lie Group**: A Lie group is a group that is also a smooth manifold, where the group operations (multiplication and inversion) are smooth maps.
Point processes are mathematical constructs used to model and analyze random occurrences in space or time. They are particularly useful in various fields, including probability theory, statistics, spatial analysis, and telecommunications. A point process consists of a random collection of points, where each point represents an event occurring at a specific location or time. The randomness in the process stems from the unpredictability of the event occurrences, making point processes suitable for modeling situations where events happen independently or are influenced by some underlying structure.
As of my last update in October 2023, Joseph Sgro isn't a widely recognized public figure in literature, politics, science, or other fields that could provide clear context for your question. It’s possible that he may refer to a private individual, a character from a lesser-known work, or a figure that has gained relevance after my last update.
In logic, a clause is a fundamental component used primarily in propositional logic and in predicate logic. It typically refers to a disjunction of literals that can be used in logical reasoning and inference processes. Here are some key points about clauses: 1. **Structure**: A clause is a disjunction of one or more literals. A literal is either a variable (e.g., \( P \)) or the negation of a variable (e.g., \( \neg P \)).
Martín Sarmiento refers to a figure in Spanish history, specifically a Spanish friar, scholar, and intellectual from the 18th century. His full name was Martín de Sarmiento and he is known for his contributions to the fields of education, linguistics, and philosophy. Sarmiento was a proponent of reforming education and the Spanish language, advocating for the use of a clearer and more rational approach to teaching.
There are several influential and insightful books on the philosophy of mathematics that explore its foundational concepts, implications, and interpretations. Here are some notable titles: 1. **"What is Mathematics?" by Richard Courant and Herbert Robbins** - This book provides an introduction to various areas of mathematics and delves into philosophical questions about mathematical rigor and beauty.
"Numbers: The Universal Language" is a concept that explores the idea that numbers and mathematics serve as a universal means of communication across different cultures and languages. This expression often reflects the notion that mathematical principles and numerical concepts can be understood and applied globally, transcending linguistic barriers. The topic can be explored in various contexts, including: 1. **Mathematical Principles**: Fundamental mathematical ideas, such as counting, shapes, and arithmetic, are understood universally, regardless of cultural differences.
The term "Crypto Wars" refers to the ongoing debate and conflict around the use of cryptography in communications, particularly concerning government regulation, privacy, and security. This term has both historical and contemporary connotations. Historically, the Crypto Wars can be traced back to the 1990s when the U.S. government attempted to regulate the use of strong encryption technologies.
Speck is a family of lightweight block ciphers designed by the National Security Agency (NSA) of the United States. It was introduced in 2013 and is particularly suited for constrained environments such as embedded systems, Internet of Things (IoT) devices, and other resource-limited applications. ### Key Features of Speck: 1. **Lightweight Design**: Speck is designed to be efficient in both hardware and software implementations.
A Ticket Granting Ticket (TGT) is a component of the Kerberos authentication protocol, which is widely used for secure network authentication. When a user initially logs into a Kerberos-secured system, they receive a TGT after successfully authenticating with the Key Distribution Center (KDC). Here's how the TGT works in the Kerberos protocol: 1. **User Authentication**: When a user logs in, they enter their credentials (usually a username and password).
The Pwnie Awards is an annual event that recognizes and honors outstanding achievements in the field of computer security, specifically in the realm of hacking and vulnerability research. Named after the "pwn" term from gaming culture, which refers to dominating or defeating an opponent, the Pwnie Awards celebrate both positive contributions to security and notable failures in the field. The awards are typically presented during the Black Hat and DEF CON conferences, which are prominent events in the cybersecurity community.
"Christian Topography" is a work by the early Christian scholar Cosmas Indicopleustes, written in the 6th century. Cosmas was an Egyptian Christian merchant and traveler who offered a unique perspective on geography and cosmology from a Christian viewpoint. In this text, Cosmas argued against the then-dominant Ptolemaic geocentric model and the ideas of other contemporary philosophers.
"Turtles all the way down" is a philosophical concept that addresses the problem of infinite regress in explanations of existence. The phrase is often used to describe the idea that when trying to explain the foundations of reality, one may keep finding other explanations that require further justification, leading to an infinite loop.
Mirosław Żak is a Polish mathematician known for his contributions to various areas in mathematics, particularly in functional analysis and related fields. He has published numerous research papers and is involved in academic activities, such as teaching and supervising graduate students.
The Journal of Photogrammetry, Remote Sensing and Geoinformation Science is an academic journal that focuses on the field of photogrammetry, remote sensing, and geoinformation science. It publishes research articles, reviews, and technical papers that cover a wide range of topics related to the collection, analysis, and interpretation of geospatial data obtained from various sources, including aerial and satellite imagery, LiDAR, and other remote sensing technologies.
Laser ranging satellites refer to satellites that use laser technology to measure distances between themselves and ground-based stations or other satellites. This technique, known as laser ranging or satellite laser ranging (SLR), involves emitting laser pulses from the satellite or a ground station and measuring the time it takes for the laser light to travel to the target and back.

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