Wang Yuan (also known as Wang Yüan) was a prominent Chinese mathematician, particularly known for his contributions to number theory and algebra. He was born on April 19, 1912, and passed away on September 17, 2006. Wang Yuan made significant contributions to the development of mathematics in China and was involved in mathematics education. He is often recognized for his work in promoting mathematics in the Chinese academic community.

YoungJu Choie is not a widely recognized term or name in popular culture or notable references as of my last update in October 2023. It might refer to an individual, possibly in academia, arts, or another field. Without additional context, it's difficult to provide specific information about what or who YoungJu Choie is.

Yutaka Taniyama was a Japanese mathematician known for his work in number theory and algebraic geometry. He is particularly famous for the Taniyama-Shimura-Weil conjecture, which posits a deep relationship between elliptic curves and modular forms. This conjecture was a central part of the proof of Fermat's Last Theorem by Andrew Wiles in the 1990s.

Zhiwei Yun can refer to various subjects depending on the context, including individuals, organizations, or concepts. However, without specific context, it's difficult to determine which Zhiwei Yun you are asking about.

A circular prime is a particular type of prime number that remains prime when its digits are rotated in all possible ways. For example, let's consider the prime number 197. Its digit rotations are 197, 971, and 719, and since all of these numbers are prime, 197 is classified as a circular prime. To give another example, the number 13 is a circular prime because its rotations (13 and 31) are both prime numbers.

The Dudley triangle, also known as the Dudley area or Dudley triangle concept, refers to a geographic and demographic model that describes three areas of interconnected significance in a particular region. This term is often used in discussions about urban planning, economic development, and social demographics. In some contexts, particularly in the UK, the Dudley triangle may refer to a specific area within the town of Dudley, located in the West Midlands, encompassing various neighborhoods or districts.

The term "genus character" typically refers to the distinguishing features or characteristics that define a genus in biological classification. In taxonomy, the genus is a rank in the hierarchical classification system that groups species that are closely related to each other. Genus characters can include a variety of traits such as: 1. **Morphological Features:** These are physical characteristics, such as size, shape, structure, and color of the organisms that belong to that genus.

Lévy's constant, typically denoted as \( L \), is a mathematical constant that appears in the context of probability theory and stochastic processes, particularly concerning the law of the iterated logarithm for random walks and other related processes. More specifically, Lévy’s constant is related to the distribution of the supremum of a Brownian motion.

Szpiró's conjecture is a hypothesis in number theory regarding the distribution of prime numbers in relation to certain algebraic curves, specifically those defined over number fields. Formulated by the mathematician Szpiro in the context of elliptic curves, it establishes a connection between the height of a point on the curve and the number of rational points of bounded height.

A unit square is a square polygon that has a side length of one unit. It is a fundamental concept in geometry and coordinates systems, particularly in the Cartesian coordinate system.

Carmichael's theorem, also known as Carmichael's function, deals with properties of groups and relates to the structure of finite abelian groups. Specifically, it provides a way to determine the order of elements in a group.

Fermat's Last Theorem states that there are no three positive integers \(a\), \(b\), and \(c\) that can satisfy the equation \(a^n + b^n = c^n\) for any integer value of \(n\) greater than 2.

Meyer's theorem is a result in the field of stochastic calculus, particularly dealing with semimartingales and their properties in the context of stochastic integration and Itô calculus. Specifically, the theorem provides conditions under which a process is a semimartingale and gives criteria for the convergence of stochastic integrals. In more detail, Meyer's theorem deals with certain types of stochastic processes, often focusing on the convergence of integrals involving local martingales.

Proizvolov's identity is a mathematical result related to combinatorics and, more specifically, to enumerative geometry and the study of plane partitions. It is named after the Russian mathematician Vyacheslav Proizvolov. In essence, Proizvolov's identity connects the counting of certain combinatorial structures, often through a generating function or through some algebraic identity. The identity can be used to derive results about integer partitions, multinomial coefficients, and more.

The Skolem–Mahler–Lech theorem is a result in number theory and in the study of sequences which concerns the behavior of integer sequences defined by linear recurrence relations. More specifically, it deals with the properties of the zeros of such sequences.

The Von Staudt–Clausen theorem is a result in the field of number theory, particularly concerning the theory of continued fractions and the approximation of numbers. The theorem provides a way to express a specific class of numbers, notably the values of certain mathematical constants, as a sum involving continued fractions.