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Kathryn Olesko is an academic known for her work in the field of history, particularly in the areas of science and technology. She is associated with Georgetown University, where she has contributed to the understanding of the historical development of scientific practices and the relationship between science and society. Her research often focuses on the history of astronomy and the impacts of different scientific advancements.

Embedding, in the context of machine learning and natural language processing (NLP), refers to a technique used to represent items, such as words, entities, or even entire documents, in a continuous vector space. These vectors can capture semantic meanings and relationships between the items, allowing for effective analysis and processing. ### Key Points about Embeddings: 1. **Dense Representation**: Unlike traditional representations (e.g., one-hot encoding), embeddings provide a more compact and informative representation.

Emmy Noether was a prominent mathematician known for her groundbreaking contributions to abstract algebra and theoretical physics. Her bibliography includes numerous papers and articles, primarily in German and French, reflecting her work on algebraic structures, ring theory, and Noetherian rings, among other topics.

In mathematics, an expression is a combination of mathematical symbols that represents a value. Expressions can include numbers, variables (letters representing unknown values), and various operators such as addition (+), subtraction (−), multiplication (×), and division (÷). Here are a few key points about mathematical expressions: 1. **Types of Expressions**: - **Numeric Expression**: Contains only numbers and operations (e.g., \(3 + 5\)).

In mathematics, the term "external" can refer to various concepts depending on the context in which it is used. Here are a few interpretations: 1. **External Angle**: In geometry, an external angle of a polygon is formed by one side of the polygon and the extension of an adjacent side. The external angle can be useful in various geometric calculations and is often related to the internal angles of the polygon.

Christopher Cordner is an Australian philosopher known for his work in areas such as ethics, social philosophy, and the philosophy of education. He has been affiliated with various academic institutions and has published extensively in these fields. His contributions often focus on the implications of philosophical ideas for practical life and the importance of moral education.

Katia Bertoldi is a professor of mechanical engineering known for her research in the fields of mechanics, materials science, and engineering, particularly in relation to soft materials, origami-inspired structures, and self-assembling systems. Her work often focuses on the design and analysis of innovative materials and structures with unique mechanical properties, which can have applications in various engineering and industrial contexts.

Kaustav Banerjee could refer to an individual with that name, but without specific context, it's challenging to provide a detailed description.

Resolution proof compression by splitting is a technique used in the context of automated theorem proving, particularly in the area of propositional logic. The primary goal of this technique is to reduce the size of a resolution proof without losing the essential information that proves the target theorem. In a resolution proof, one derives a conclusion from a set of premises using the resolution rule, which is a rule of inference that allows the derivation of a clause from two clauses containing complementary literals.

The term "canonical basis" can refer to different concepts depending on the context in which it is used. Here are a few common interpretations of the term in various fields: 1. **Linear Algebra**: In the context of vector spaces, a canonical basis often refers to a standard basis for a finite-dimensional vector space.

A Cauchy sequence is a sequence of elements in a metric space (or a normed vector space) that exhibits a particular convergence behavior, focusing on the distances between its terms rather than on their actual limits.

In algebra, particularly in the context of group theory and ring theory, the term "center" refers to a specific subset of a mathematical structure that has particular properties. 1. **Center of a Group**: For a group \( G \), the center of \( G \), denoted as \( Z(G) \), is defined as the set of elements in \( G \) that commute with every other element of \( G \).

In mathematics, the term "closure" can refer to different concepts depending on the context. Here are a few of the most common meanings: 1. **Set Closure**: In the context of sets, the closure of a set \( A \) within a topological space refers to the smallest closed set that contains \( A \). It can also be defined as the union of the set \( A \) and its limit points.

Ke-Chiang Hsieh is not a widely recognized term, individual, or topic in popular discourse as of my last update in October 2023. It could potentially refer to a person, place, or concept that is not well-documented or that has emerged more recently.

21st-century South African physicists have made significant contributions to various fields, including condensed matter physics, astrophysics, quantum optics, and medical physics, among others. Some notable physicists and their contributions include: 1. **Thulani Mathe** - Known for his work in condensed matter physics and materials science, he has contributed to understanding the properties of novel materials. 2. **Nathalie G.

The 21st century has seen a number of notable Spanish physicists make significant contributions across various fields of physics. Here are a few prominent figures and their contributions: 1. **Antonio Cabrera**: Known for his work in condensed matter physics and materials science. 2. **Luis A. S. M. García**: Involved in research related to photonics and quantum optics.

The 21st century has seen a number of prominent Swedish physicists contributing to various fields within physics, including theoretical physics, condensed matter physics, and particle physics. Here are a few notable figures: 1. **Anders Irbäck** - Known for his work in theoretical physics and statistical mechanics, particularly in the context of biophysics, Anderson localization, and complex systems. 2. **Elisabeth A. P.

The term "21st-century Swiss physicists" refers to physicists from Switzerland who have made significant contributions to the field of physics during the 21st century. Some notable Swiss physicists from this era include: 1. **Geneviève G. A. Michalet** - Known for her work in biophysics and nanotechnology. 2. **Alain Aspect** - A leading figure in quantum mechanics, particularly in experiments testing Bell's theorem. 3. **Walter B.

Keiji Tanaka can refer to different individuals, but one of the most notable is a Japanese professional figure skater who has competed in various events, including international competitions. He has gained recognition for his performances in singles skating.

As of my last knowledge update in October 2021, there was no widely-known public figure or concept specifically referred to as "Keith Burrell." It's possible that he could be a private individual or someone who gained prominence after that date.