A quasifield is a mathematical structure that generalizes the concept of a field. In particular, a quasifield is a set equipped with two binary operations (often referred to as addition and multiplication) that satisfy certain axioms resembling those of a field, but with some modifications. In a quasifield, the operations are defined in a way that allows for the existence of division (except by zero), meaning that every nonzero element has a multiplicative inverse.

Tsen rank, named after mathematician Hsueh-Yung Tsen, is a concept in algebraic geometry and commutative algebra that relates to the behavior of fields and their extensions. Specifically, it provides a measure of the size of a field extension by analyzing the ranks of certain algebraic objects associated with the extension.

In the context of algebra, "valuation" refers to a function that assigns a value to elements of a certain algebraic structure, often measuring some property of those elements, such as size or divisibility. Valuation is commonly used in number theory and algebraic geometry and can apply to various mathematical objects, such as integers, rational numbers, or polynomials.

In mathematics, particularly in the field of algebra, an "invariant factor" arises in the context of finitely generated abelian groups and modules. The invariant factors provide a way to uniquely express a finitely generated abelian group in terms of its cyclic subgroups and can be used to classify such groups up to isomorphism.

A moment matrix is a mathematical construct used in various fields, including statistics, signal processing, and computer vision. It typically describes the distribution of a set of data points or can capture the statistical properties of a probability distribution. Here are a couple of contexts in which moment matrices are commonly used: 1. **Statistical Moments**: In statistics, the moment of a distribution refers to a quantitative measure related to the shape of the distribution.

The spectral abscissa of a square matrix is a measure of the maximum rate of growth of the dynamic system represented by that matrix.

A Completely-S matrix is a type of structured matrix used in the field of numerical linear algebra and matrix theory. The term "Completely-S" typically refers to a matrix that satisfies particular properties regarding its submatrices or its structure. To clarify, the "S" in "Completely-S" usually stands for a specific property or class of matrices (like symmetric, skew-symmetric, etc.), but the exact definition can vary depending on the specific context or application.

Bernhard Neumann may refer to two prominent figures in different fields: 1. **Bernhard Neumann (1909-2002)** - He was a notable German mathematician known for his contributions to group theory, especially to the theory of infinite groups and geometric group theory. His work has had a significant impact on mathematics, particularly in algebra.

As of my last knowledge update in October 2021, there isn't any widely known or significant entity, person, or concept specifically named "Birgit Speh." It's possible that new developments or individuals have emerged since then, or that it refers to a specialized or local term not broadly recognized.

"Henry Mann" could refer to several different things, depending on the context. Here are a few possibilities: 1. **Fictional Characters**: Henry Mann may be a character in literature, film, or shows. For example, he could be a character from a book or a movie that features that name. 2. **Real Individuals**: There could be people named Henry Mann who are notable in various fields such as academia, politics, or business.

Hidehiko Yamabe is a well-known Japanese mathematician, recognized for his contributions in the field of functional analysis and related areas such as topology and differential equations. He has made significant advancements in various mathematical theories and is affiliated with several academic institutions, often influencing both research and education in mathematics.

Howard Masur is a name that might refer to different individuals, but one notable figure is Howard Masur, a prominent American attorney and legal scholar, particularly in the fields of insurance and commercial law. He may have also contributed to legal education and published various works related to his areas of expertise.

Jan Saxl is not widely recognized in popular culture or significant historical contexts based on the information available up to October 2023. It's possible that Jan Saxl could be a private individual, a lesser-known public figure, a character in a specific media, or perhaps a name associated with a niche interest.

John Britton (born 1939) is a British mathematician known for his contributions to the field of topology, particularly in the areas of combinatorial topology and group theory. He made significant contributions to the theory of surface subgroups within the context of geometric group theory and is also known for his work on the properties of 3-manifolds.

John G. Thompson is a prominent American mathematician known for his contributions to group theory, specifically in the areas of finite groups and representation theory. Born on November 14, 1932, he has had a significant impact on modern algebra. Thompson is perhaps best known for his work on simple groups, particularly the classification of finite simple groups, and he also played a key role in the development of the theory of groups generated by permutations.

Mark Naimark is a notable figure in the field of mathematics, particularly known for his work in the area of mathematics education, research, or possibly other mathematical applications. However, without additional context, it can be difficult to specify who exactly Mark Naimark is, as there may be multiple individuals with that name or various contributions associated with it.

As of my last knowledge update in October 2023, there is no widely recognized figure or concept known as "Panos Papasoglu." It is possible that this name could refer to a private individual, a lesser-known figure, or a topic that has emerged more recently after my last update.

Stephen M. Gersten is a prominent figure in the field of education, particularly known for his work in special education and research on effective teaching strategies. He has contributed significantly to understanding instructional practices for students with disabilities, including issues related to intervention and curriculum development. Gersten has authored and co-authored numerous articles and books, often focusing on improving educational outcomes for diverse learners.

Thomas Kirkman was an English mathematician best known for his work in combinatorial mathematics and for formulating what is now known as "Kirkman's schoolgirl problem." This problem, posed in 1850, involves arranging groups of schoolgirls in such a way that they are always in different groups for each outing.

John William Strutt, 3rd Baron Rayleigh (1842–1919) was a prominent British physicist known for his significant contributions to the field of physics, particularly in the study of light and sound. He was a key figure in the development of various scientific principles, including those related to the scattering of light and the properties of gases. Strutt was born into an aristocratic family and was educated at Trinity College, Cambridge.