Gerhard Wagner is a physicist known for his contributions to various fields within physics, including quantum mechanics and condensed matter physics. However, detailed information about specific research, publications, or achievements would be essential for a more comprehensive understanding of his work and impact in the field.

Computing is a peer-reviewed academic journal that covers research and developments in the field of computer science and computing. It typically encompasses a wide range of topics, including but not limited to algorithms, software engineering, computer systems, artificial intelligence, and information technology. The journal serves as a platform for researchers to publish their findings, share insights, and contribute to the body of knowledge within the computing discipline.

Gertrude Ehrlich does not seem to be a widely recognized figure in public knowledge, literature, science, or popular culture based on general information up to October 2023. It's possible that she could be a private individual, a local figure, or someone recognized in a specific field or context that hasn't gained broader attention.

The cross-ratio is a concept from projective geometry often used in various mathematical fields, including geometry and complex analysis.

The term "Cone algorithm" can refer to different concepts in various fields, including computer science, mathematics, optimization, and computational geometry. However, one common interpretation relates to methods used in optimization and linear programming, particularly in the context of cone programming or conic optimization. ### Cone Programming **Cone programming** is a generalization of linear programming where the feasible region is defined by a convex cone. A convex cone is a set that is closed under positive scalar multiplication and addition.

"Solving the Riddle of Phyllotaxis" refers to the study and understanding of the arrangement of leaves, seeds, or other structures in plants, which is called phyllotaxis. This biological phenomenon involves complex patterns of growth and organization that optimize light capture, space efficiency, and reproductive success. Phyllotaxis can include specific arrangements like spirals, whorls, and alternate patterns, often described using mathematical concepts from geometry and the Fibonacci sequence.

"The Annotated Turing" is a book by Charles Petzold that provides a detailed exploration of Alan Turing's groundbreaking 1936 paper "On Computable Numbers, with an Application to the Entscheidungsproblem." This paper is considered foundational in the field of computer science and introduces the concept of the Turing machine, which is a theoretical model of computation that helps in understanding the limits of what can be computed.

The construction and principal uses of mathematical instruments refer to a range of tools designed to assist with mathematical tasks, such as measuring, drawing, calculating, or visualizing mathematical concepts. Here are some common mathematical instruments, along with their construction and principal uses: ### Common Mathematical Instruments 1. **Compass**: - **Construction**: A compass consists of two arms: one with a pointed end for pivoting and another with a pencil or pen.

"The Emperor's New Mind" is a book written by physicist and mathematician Roger Penrose, published in 1989. The book explores the nature of human consciousness and its relationship to artificial intelligence and computation. Penrose argues against the idea that human thought processes can be fully replicated by machines or algorithms, positing that human consciousness and understanding involve non-computable processes that cannot be captured by traditional computational methods.

"The Ground of Arts" typically refers to the foundational principles, concepts, or elements that underpin artistic practices and creations. This term can encompass various aspects such as aesthetics, techniques, philosophy, and cultural context. In a broader sense, it can also imply the foundational ideas that inform all kinds of creative endeavors, including visual arts, music, literature, and performing arts. The "ground" may include historical influences, societal impacts, and the emotional or intellectual responses that art evokes.

The "Traité de mécanique céleste," or "Treatise on Celestial Mechanics," is a significant work by the French mathematician and astronomer Pierre-Simon Laplace. Published in five volumes between 1799 and 1825, it presents a comprehensive mathematical framework for understanding the motions of celestial bodies and the gravitational forces acting upon them.

A trigonometric series is a series in which the terms are trigonometric functions, often expressed in terms of sine and cosine functions. One of the most common forms of a trigonometric series is a Fourier series, which represents a periodic function as a sum of sine and cosine functions.

Two-sided matching is a concept from economics and game theory that refers to the process of pairing individuals or entities from two different groups based on their preferences and characteristics. The most well-known application of two-sided matching is in labor markets, where employers and job seekers need to find suitable matches based on preferences (e.g., a job candidate's skills and an employer's job requirements).

The Iranian Mathematics Competition (IMC) is an annual competition for high school students in Iran, aimed at promoting mathematical ability and talent among young people. It typically includes a series of challenging mathematical problems in various areas such as algebra, geometry, number theory, and combinatorics. Medalists in this competition are recognized for their outstanding performance, which could involve achieving high scores or solving particularly difficult problems.

A "mathematics competition stub" typically refers to a brief or incomplete entry in a database or resource that relates to mathematics competitions. This may appear on platforms like Wikipedia, where certain pages may be labeled as stubs if they lack comprehensive information or detailed content. In the context of mathematics competitions, these stubs might cover topics such as specific competitions (like the International Mathematical Olympiad, Putnam Competition, etc.), notable mathematicians involved in competitions, or historical information relevant to the field.