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Lillian Rosanoff Lieber (1886–1972) was a notable American mathematician and educator, recognized for her contributions to mathematics and her role as an advocate for women in the field. She was known for her work in higher mathematics and for her efforts in promoting the participation of women in the sciences during a time when their involvement was significantly limited.

Ole Peder Arvesen is known for his work in mathematics and is notable for his contributions in the field of pure mathematics, particularly in the area of functional analysis and operator theory.

A **Boolean matrix** is a matrix in which each entry is either a 0 or a 1, representing binary values. In a Boolean matrix: - The value **0** typically represents "false" or "no," while the value **1** represents "true" or "yes." Boolean matrices are often used in various fields, including computer science, mathematics, and operations research.

The Coarea formula is an important result in differential geometry and geometric measure theory. It relates integrals over a manifold to integrals over the level sets of a smooth function defined on that manifold. Specifically, it provides a way to express the volume of the preimage of a set under a smooth function, in terms of integrations over its level sets.

David Silver is a prominent computer scientist known for his work in artificial intelligence, particularly in reinforcement learning and deep learning. He is a principal researcher at DeepMind, a leading AI research company that aims to develop general artificial intelligence. Silver is well-known for his role in the development of AlphaGo, the first AI program to defeat a human champion in the game of Go. This achievement demonstrated significant advancements in machine learning techniques, particularly in using deep neural networks and Monte Carlo tree search.

"People associated with vehicles" can refer to a wide range of individuals involved in various aspects of the automotive industry and vehicle usage. This can include: 1. **Manufacturers**: Those who design, engineer, and produce vehicles, including automotive companies and their employees, such as engineers, designers, and factory workers. 2. **Dealers**: Individuals or businesses that sell vehicles, including car dealerships and salespeople.

"People in transport by company" generally refers to the number of individuals or workforce associated with different companies in the transportation sector. This can include employees working for airlines, shipping companies, freight services, public transit operators, logistics companies, and other transportation-related organizations. In a broader sense, it could also pertain to the overall human resources allocated within these companies, including roles ranging from drivers and pilots to administrative staff, logistics coordinators, and engineers.

The Markus–Yamabe conjecture is a conjecture in the field of dynamical systems, specifically concerning the long-term behavior of certain classes of systems defined by differential equations. The conjecture is named after mathematicians Leo Markus and Hidetaka Yamabe, who formulated it in the mid-20th century. The conjecture addresses the stability and asymptotic behavior of solutions to certain nonlinear systems.

Anti-realism is a philosophical position that challenges or denies the objective reality of certain entities, concepts, or truths. It is often contrasted with realism, which asserts that certain things exist independently of our perceptions or beliefs about them. Anti-realism can take various forms depending on the domain of discussion, such as: 1. **Metaphysical Anti-realism**: This form questions the existence of certain entities or categories that realism claims exist, such as abstract objects (numbers, properties, etc.

CUR matrix approximation is a technique used in data analysis, particularly for dimensionality reduction and low-rank approximation of large matrices. The primary goal of CUR approximation is to represent a given matrix \( A \) as the product of three smaller, more interpretable matrices: \( C \), \( U \), and \( R \).

Green's matrix, often called the Green's function in various contexts, is a mathematical tool used in solving linear differential equations, particularly in fields like physics and engineering. The Green's function is fundamentally important in the study of partial differential equations (PDEs), as it allows for the construction of solutions to inhomogeneous differential equations from known solutions to homogeneous equations.

The Smith normal form is a canonical form for matrices over integers (or more generally, over any principal ideal domain) that reveals important structural information about the matrix. It is primarily used in the study of finitely generated modules over rings, especially in linear algebra and number theory.

In the context of probability theory and measure theory, a **cylinder set** is a type of set used in the study of stochastic processes and infinite-dimensional spaces, particularly in relation to random variables and their distributions. ### Definition A cylinder set can be defined with respect to an indexed family of random variables or a stochastic process.

Frank Stephen Baldwin was an American inventor and engineer known for his contributions to the development of various technologies, particularly in the field of firearms and machinery. He is most notable for his work in the late 19th century and early 20th century, during which he patented several inventions related to firearms mechanisms and automatic devices.

The term "Basic Encyclopedia" typically refers to a type of encyclopedia designed to provide straightforward, accessible information on a wide range of topics. These encyclopedias are often aimed at students, children, or individuals seeking a foundational understanding of various subjects without the complexity that might be found in more detailed reference works. Basic encyclopedias usually feature entries that are concise, easy to understand, and sometimes include illustrations or diagrams to aid comprehension.

Orbital stability refers to the stability of the orbits of celestial bodies under the influence of gravitational forces. In astrodynamics and celestial mechanics, it is an important concept that describes whether an orbiting body will remain in a stable orbit or if it is likely to change its trajectory significantly over time, possibly leading to escape from a gravitational influence, collision with another body, or spiraling into a star or planet.

"Songs of Love & Loss" is likely a reference to a music collection, album, or performance that features themes of love and heartbreak. Such compilations often include a variety of genres and styles, with songs that explore the emotional complexities of romantic relationships, from the joy of love to the sorrow of loss.

"Songs of the Recollection" does not refer to any widely known work or concept as of my last update in October 2023. It's possible that it could be a title of a literary work, an album, a poem, or another creative project that has emerged since then or is relatively obscure.

Jonathan Abbatt is a notable figure in the field of environmental science and atmospheric chemistry. He is recognized for his research related to air quality, atmospheric processes, and the impacts of pollutants on health and the environment. Abbatt has published numerous scientific papers and contributed significantly to understanding the interactions between atmospheric gases, aerosols, and biological systems.

Veronica was an early search engine that specifically indexed the content of the Gopher protocol, which was a pre-Web system for distributing and sharing documents on the Internet. Launched in 1992, Veronica (an acronym for "Very Easy Rodent-Oriented Net-wide Index to Computer Archives") allowed users to search for files and information across various Gopher sites.