The elongated pentagonal orthobicupola is a type of convex polyhedron and is part of the family of Archimedean solids. It is characterized by its unique geometry, which combines elements of both pentagonal and triangular figures.

The elongated square cupola is a type of Archimedean solid, which is a category of convex polyhedra with regular polygons as their faces. Specifically, the elongated square cupola can be described as follows: - **Vertices**: It has a total of 20 vertices. - **Edges**: There are 30 edges. - **Faces**: The solid comprises 10 faces: 4 square faces and 6 triangular faces.

An enneagonal prism is a three-dimensional geometric shape that is categorized as a prism. Specifically, it has two bases that are enneagons, which are nine-sided polygons. Here are some characteristics of an enneagonal prism: 1. **Bases**: The two parallel bases are both enneagons, meaning each base has nine sides and nine angles. 2. **Lateral Faces**: The lateral faces of the prism are rectangles.

"Asian mathematician stubs" typically refers to short articles or entries on Wikipedia that pertain to mathematicians from Asian countries. The term "stub" in the context of Wikipedia indicates that the article is incomplete and likely requires additional information, references, or expansion to provide a more comprehensive overview of the subject. These stubs allow contributors to identify areas where they can help improve Wikipedia by adding content about notable Asian mathematicians, their contributions, biographical details, and other relevant information.

"Mathematicians from Philadelphia" typically refers to a notable group of mathematicians associated with the Philadelphia area, particularly those who have made significant contributions to various fields of mathematics. Some prominent mathematicians who are known to have worked in Philadelphia or have ties to institutions there include: 1. **John von Neumann** - Although primarily associated with several other cities, his involvement in the early days of computer science and game theory has connections to Philadelphia through his work with the Institute for Advanced Study.

The Clay Research Award is given by the Clay Mathematics Institute to recognize outstanding achievements in mathematics. This award is intended to honor mathematicians for their significant contributions to the field, particularly those who have made groundbreaking advances or provided important insights into mathematical problems. Recipients of the Clay Research Award are typically selected based on their work's originality, depth, and impact on the mathematical community. The awards serve not only to recognize individual researchers but also to promote mathematics as a whole.

The Fields Medal is one of the most prestigious awards in mathematics, often regarded as the equivalent of a Nobel Prize for mathematicians. It was established in 1936 and is awarded every four years to mathematicians under the age of 40 in recognition of outstanding achievements in the field. The award was named after Canadian mathematician John Charles Fields, who was instrumental in establishing the medal and the associated prize.

Mathematical ecologists are researchers who apply mathematical models and techniques to understand ecological systems and phenomena. They work at the intersection of ecology, mathematics, and often computer science, using quantitative methods to analyze and predict the interactions between organisms and their environments. Here are some key aspects of what mathematical ecologists do: 1. **Modeling Populations**: They develop mathematical models to describe the dynamics of populations—how population sizes change over time due to births, deaths, immigration, and emigration.

Mathematical statisticians are professionals who specialize in the field of statistics and are primarily focused on the mathematical theories and methodologies behind statistical analysis. Their work often involves developing new statistical methods, designing experiments, and analyzing data using mathematical frameworks. Key responsibilities and areas of focus for mathematical statisticians include: 1. **Theory Development**: They create new statistical theories and models to improve existing methodologies. This includes work on probability distributions, hypothesis testing, estimation techniques, and more.

Coding theory is an area of study in computer science and mathematics that focuses on the design and analysis of error-correcting codes and the representation of data. Coding theorists are researchers or practitioners who work in this field, exploring various aspects of coding, including: 1. **Error Detection and Correction**: Developing codes that allow for the detection and correction of errors in data transmission or storage. This is essential for reliable communication systems, such as those used in telecommunications, data storage, and computer networks.

Queueing theorists are researchers and practitioners who study queueing theory, which is a mathematical discipline that deals with the analysis of queues (i.e., waiting lines). This field is essential in various domains, especially in operations research, telecommunications, traffic engineering, and service systems. Queueing theory involves the study of several key components: 1. **Arrival Process**: How entities (customers, data packets, etc.) arrive at the service facility. This can be modeled using probability distributions (e.

Pythagoreanism is a philosophical and religious doctrine founded by the ancient Greek philosopher Pythagoras (c. 570–495 BCE) and his followers, known as the Pythagoreans. This school of thought is notable for its contributions to mathematics, philosophy, and spirituality.

The American Mathematical Society (AMS) offers several awards to recognize outstanding contributions to mathematics, including research excellence, teaching, and service to the mathematical community. Some of the notable awards given by the AMS include: 1. **Steel Prize**: Awarded for outstanding research in mathematics. 2. **Bôcher Memorial Prize**: Recognizes distinguished research in analysis. 3. **Cole Prizes**: Given for notable research in algebra and number theory.

Indian mathematics refers to the mathematical traditions and contributions that have developed in the Indian subcontinent over thousands of years. It encompasses a wide range of topics, including arithmetic, geometry, algebra, and astronomy.