The Laboratório Nacional de Luz Síncrotron (LNLS) is a Brazilian research facility dedicated to the production and application of synchrotron radiation, which is a powerful source of light used for a variety of scientific investigations. Located in Campinas, São Paulo, LNLS is one of the most important centers for scientific research and development in Brazil and Latin America. Synchrotron radiation is generated when charged particles, such as electrons, are accelerated and forced to travel along curved paths.
The Krivine–Stengle Positivstellensatz, often referred to in the context of real algebraic geometry, is a fundamental result that provides a connection between polynomial inequalities and the positivity of polynomials on semi-algebraic sets.
Special functions are particular mathematical functions that arise frequently in various areas of mathematics, physics, and engineering. These functions have specific properties and often involve solutions to certain types of differential equations or integrals that are encountered in applied mathematics. Some of the most commonly recognized special functions include: 1. **Bessel Functions**: Arise in problems with cylindrical symmetry, such as heat conduction in cylindrical objects.
Derek Jackson is a relationship expert, author, and social media influencer known for his advice on dating, relationships, and self-improvement. He gained significant popularity through his motivational videos and posts, often addressing topics related to love, self-worth, and personal growth. Jackson is also known for his candid discussions about his own relationships and experiences, which resonated with many of his followers.
Two's complement is a mathematical representation of negative numbers in binary systems. It is widely used in computer systems to perform arithmetic operations such as addition and subtraction efficiently. The two's complement representation allows for the encoding of both positive and negative integers using the same binary format.
Statistics in Medicine is a peer-reviewed academic journal that focuses on the application of statistical methods in the field of medicine and healthcare. The journal publishes original research articles, reviews, and methodological papers that explore statistical techniques and their application in clinical trials, epidemiology, health services research, and other areas of medical research.
"Summa de arithmetica" is a significant mathematical work written by the Italian mathematician Luca Pacioli in 1494. The full title is "Summa de arithmetica, geometria, proportioni et proportionalità" (Summary of Arithmetic, Geometry, Proportions, and Proportionality). This work is noteworthy for being one of the first comprehensive texts on arithmetic and algebra in the Renaissance period.
In dynamical systems, "theorems" refer to established results that describe the behavior of systems over time under certain conditions. Dynamical systems are mathematical models used to describe the evolution of points in a given space according to specific rules, often represented by differential equations or discrete mappings.
Treewidth is a concept from graph theory that provides a measure of how "tree-like" a graph is. Specifically, the treewidth of a graph quantifies the minimum width of a tree decomposition of that graph. A tree decomposition is a way of representing a graph as a tree structure, where each node in the tree corresponds to a subset of vertices of the graph, satisfying certain properties.
Lagrangian mechanics is a formulation of classical mechanics that uses the principle of least action to describe the motion of objects. Developed by the mathematician Joseph-Louis Lagrange in the 18th century, this approach reformulates Newtonian mechanics, providing a powerful and elegant framework for analyzing mechanical systems.
David E. Rowe is a prominent figure in the field of engineering and applied mathematics, known for his contributions to various areas including engineering education and research. However, without more specific information, it's difficult to pinpoint which David E.
George C. Pimentel (1922–2007) was an American chemist known for his contributions to the field of chemistry, particularly in molecular spectroscopy and chemical education. He made significant advancements in the study of infrared spectroscopy and played a crucial role in developing new techniques and instruments for analyzing molecular structures. Pimentel was a prominent figure in academia and served on the faculty at the University of California, Berkeley. He was also involved in promoting science education and public understanding of chemistry.
In combinatorics, theorems refer to established mathematical statements that have been proven based on axioms and previously established theorems. Combinatorics itself is the branch of mathematics dealing with the counting, arrangement, and combination of objects. It often involves discrete structures and discrete quantities.
"Studia Mathematica" is a mathematical journal that publishes original research articles in the field of mathematics. It is well-regarded in the mathematical community and covers various areas of pure and applied mathematics. The journal typically features contributions from mathematicians around the world and aims to promote scholarly work and advance knowledge in the discipline. The journal may include papers on topics such as algebra, analysis, topology, geometry, and number theory, among others.