The 20th century saw significant contributions from Taiwanese mathematicians, particularly after the end of Japanese colonial rule in 1945 and the establishment of the Republic of China (ROC) on Taiwan. Here are a few notable figures: 1. **Shing-Tung Yau**: Born in 1949, Yau is a prominent mathematician known for his work in differential geometry and geometric analysis.

23131 Debenedictis is a designation for a main-belt asteroid, which was discovered on September 16, 1999, by astronomer David J. Tholen. It is named after the Italian-American physicist and astrophysicist, Dr. Amancio Debenedictis. In terms of its characteristics, like most asteroids, it has its own unique orbital parameters and physical properties, such as size and composition, which are of interest to astronomers.

3D modeling is the process of creating a three-dimensional representation of an object or scene using specialized software. This representation can be used in various fields such as video games, film, animation, architecture, engineering, and virtual reality. The key aspects of 3D modeling include: 1. **Vertices, Edges, and Faces**: A 3D model is typically composed of points in a three-dimensional space (vertices) connected by lines (edges) to form surfaces (faces).

The 52-hertz whale is a unique and elusive whale known for its unusual vocalization frequency of 52 hertz. This frequency is significantly higher than the calls of most baleen whales, which typically communicate at lower frequencies ranging from 10 to 40 hertz. Because of its distinctive call, the 52-hertz whale has gained attention and interest, often referred to as the "loneliest whale in the world.

Functional linguistics is an approach to the study of language that emphasizes the role of language in communication and its relationship to social and cultural contexts. It posits that language is a tool for conveying meaning and serving specific functions in various contexts. This perspective contrasts with more formal approaches to linguistics that may focus predominantly on syntax, grammar, and structural aspects of language.

The number 5751 could refer to various things depending on the context. Here are a few possibilities: 1. **Mathematics**: It is simply a four-digit integer. It could be expressed in different forms such as a sum of its digits, factorization, etc.

As of my last knowledge update in October 2021, Abdel Fattah al-Maghrabi does not appear to refer to a widely recognized public figure, concept, or event. It is possible that the name could refer to a person who has gained prominence after that date, or it may be a name with limited recognition outside specific contexts.

The Abel–Ruffini theorem is a result in algebra that states there is no general solution in radicals to polynomial equations of degree five or higher. In other words, it is impossible to express the roots of a general polynomial of degree five or greater using only radicals (i.e., through a finite sequence of operations involving addition, subtraction, multiplication, division, and taking roots).

Absolute construction is a grammatical term that refers to a particular way of combining words to form a phrase that provides additional information about the main clause of a sentence. This construction typically consists of a noun or pronoun followed by a participle or an adjective. It functions independently of the main clause, meaning it does not have a direct grammatical connection to it.

The Fundamental Theorem of Curves is a concept in differential geometry that establishes a relationship between curves in Euclidean space and the properties of their curvature and torsion. While the specific formulation can vary depending on the context, generally, the theorem addresses the representation of a curve based on its intrinsic geometric properties.

The Accident Compensation Corporation (ACC) is a New Zealand government organization that provides no-fault personal injury coverage for residents and visitors who are injured in accidents. Established in 1974, ACC was designed to streamline the process of compensating injured individuals without the need for litigation, reducing legal costs and complexities associated with personal injury claims.

Ackermann set theory, developed by Wilhelm Ackermann in the early 20th century, is an alternative foundational framework for mathematics. It emerged from concerns about the foundations of set theory, particularly in the context of logical paradoxes and inconsistencies that arose in naive set theory.

Active disassembly is a term primarily used in the field of electronic waste (e-waste) recycling, referring to a process wherein electronic devices or components are dismantled systematically and economically for the purpose of recovering valuable materials. Unlike passive disassembly, which may involve merely breaking apart devices without regard for the materials, active disassembly employs specific techniques, tools, and methodologies to effectively and efficiently separate components.

The activity coefficient is a factor used in thermodynamics and physical chemistry to quantify the deviation of a solution's behavior from that of an ideal solution. It is defined as the ratio of the activity of a species to its concentration (or mole fraction in the case of ideal solutions).

In Unified Modeling Language (UML), an **Actor** represents a role that a user or any other system plays when interacting with the system being modeled. Actors are typically used in use case diagrams to illustrate the interactions between the system and the external entities that influence its behavior. ### Key Characteristics of Actors in UML: 1. **External Role**: An actor is not part of the system itself; instead, it exists outside the system and interacts with it.

The Adamic–Adar index is a measure used in network theory and social network analysis to quantify the similarity between two nodes based on their shared connections. Specifically, it evaluates the likelihood that two nodes will connect in the future, based on their common neighbors in a graph.

Adam Wierman is a professor in the Department of Computing and Mathematical Sciences at the California Institute of Technology (Caltech). His research interests primarily include areas such as queuing theory, machine learning, and algorithms, often with applications in networking, data analysis, and other fields. He has contributed to various topics in operations research and has published numerous papers in academic journals.

Additive smoothing, also known as Laplace smoothing, is a technique used in probability estimates, particularly in natural language processing and statistical modeling, to handle the problem of zero probabilities in categorical data. When estimating probabilities from observed data, especially with limited samples, certain events may not occur at all in the sample, leading to a probability of zero for those events. This can be problematic in applications like language modeling, where a lack of observed data can lead to misleading conclusions or unanticipated behavior.

Westerhout 43 is a notable star-forming region located in the constellation of Sagittarius. It is recognized as a prominent prototype of H II regions, which are large clouds of gas and dust in space where new stars are born. The region is specifically part of a giant molecular cloud, and its designation reflects the work of astronomers who cataloged various stellar and nebulae objects.