Acta Arithmetica is a mathematical journal that focuses on number theory and related fields. It publishes original research articles, surveys, and expository papers in the area of pure and applied mathematics, particularly emphasizing topics in arithmetic and number theory. The journal has a strong reputation in the mathematical community and often includes contributions from prominent researchers in the field. Acta Arithmetica is known for its rigorous peer-review process and its commitment to advancing scholarly communication in mathematics.

Acta Scientiarum Mathematicarum is a scientific journal that focuses on publishing research in the field of mathematics. It typically includes original research articles, surveys, and possibly other types of scholarly works related to various branches of mathematics. The journal aims to contribute to the advancement of mathematical knowledge and may cover topics ranging from pure to applied mathematics. The journal is often associated with academic institutions or societies and follows a peer-review process to ensure the quality and rigor of the published works.

"Advances in Difference Equations" is a peer-reviewed academic journal that focuses on the field of difference equations and their applications. It publishes research articles, reviews, and other types of contributions that discuss theoretical advancements, computational methods, and applications in various areas of mathematics and applied sciences related to difference equations. Difference equations, which involve sequences defined by recursive relationships, are important in various disciplines, including economics, biology, engineering, and computer science.

"Advances in Operator Theory" is likely a reference to a scholarly journal or publication that focuses on research and developments in the field of operator theory. Operator theory is a branch of functional analysis that studies linear operators on function spaces, with applications across various areas such as quantum mechanics, partial differential equations, and applied mathematics.

The Arnold Mathematical Journal is a scholarly publication that focuses on a wide range of topics in mathematics. Named after the renowned mathematician Vladimir Arnold, the journal publishes original research articles, survey papers, and expository articles that contribute to the various fields of mathematics. The journal aims to foster communication and collaboration among mathematicians, promoting high-quality research in diverse areas, including but not limited to algebra, geometry, topology, analysis, and applied mathematics.

"Collectanea Mathematica" is a mathematical journal that publishes research articles, notes, and surveys across all areas of mathematics. It serves as a platform for mathematicians to share their findings with the broader mathematical community. The journal often includes work that may not fit into the narrower scope of more specialized mathematical journals, allowing for a diverse range of topics and approaches.

L'Intermédiaire des mathématiciens is a French journal that serves as a platform for mathematicians to share their findings, problems, and insights. It was established in the 19th century and has a long history of publishing articles that range from original research to expository articles, as well as mathematical problems and their solutions. The journal aims to promote the exchange of ideas in the mathematical community and has contributed to the development of various mathematical topics over the years.

The International Journal of Number Theory is a scientific journal that focuses on the field of number theory, which is a branch of pure mathematics devoted to the study of the integers and more generally to properties of objects built from them. The journal publishes original research articles, surveys, and expository papers that contribute to various aspects of number theory, including but not limited to algebraic number theory, analytic number theory, and computational number theory.

"Differential Equations" is a scholarly journal that focuses on the publication of research articles related to the theory, methods, and applications of differential equations. This journal typically includes a variety of topics within this field, such as: - Ordinary Differential Equations (ODEs) - Partial Differential Equations (PDEs) - Functional Differential Equations - Stochastic Differential Equations - Applications of differential equations in physics, engineering, biology, and other fields.

"Paganiniana" is a composition by the Italian composer and pianist Casella, inspired by the works of the virtuoso violinist and composer Niccolò Paganini. The piece is often described as a series of variations based on themes associated with Paganini's music, showcasing both technical virtuosity and an emotional depth.

Artificial chemistry is an interdisciplinary field that combines concepts from chemistry, biology, computer science, and complex systems to study and simulate the properties and behaviors of chemical systems. It often involves the creation of artificial or synthetic systems that can mimic or explore the principles of natural chemical processes. Key aspects of artificial chemistry include: 1. **Modeling Chemical Reactions**: Artificial chemistry often employs computational models to simulate chemical reactions and interactions.

The Arens square is a specific construction in the field of set theory and topology that is associated with certain properties of topological spaces, particularly in the context of analysis and functional analysis. It is named after the mathematician Richard Arens. More formally, the Arens square refers to a particular space denoted as \( \mathfrak{A} \), which is a specific type of product of spaces formed from the unit interval [0, 1].

The Hardy–Ramanujan Journal is a mathematical journal that focuses on topics related to number theory, mathematical analysis, and combinatorics, among other areas. It was established in honor of the famed Indian mathematician Srinivasa Ramanujan and the British mathematician G. H. Hardy, who was Ramanujan's mentor and collaborator. The journal serves as a platform for researchers to publish their findings and engage with the mathematical community.

Ionized-air glow, often referred to as "corona discharge" or simply "corona glow," occurs when air becomes ionized due to high electric fields. This phenomenon typically happens when there is a sharp point or edge in an electric field, which can enhance the field strength and lead to ionization of the surrounding air molecules. When air is ionized, it means that the electrons are stripped away from the air molecules, creating positively charged ions and free electrons.

The Illinois Journal of Mathematics is a peer-reviewed academic journal that publishes research articles in a variety of areas within mathematics. Founded in 1957, it is associated with the University of Illinois at Urbana-Champaign. The journal covers a broad spectrum of mathematical topics, including but not limited to pure and applied mathematics, and it is designed to foster communication among mathematicians. It is well-regarded in the mathematics community and often features work from established researchers as well as emerging scholars in the field.