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Cirquent calculus is a formal system that extends the traditional sequent calculus, aiming to handle certain aspects of logic more effectively, particularly in the context of proof theory and structural proof theories. The main innovation in cirquent calculus is its ability to represent proofs in a more flexible way by using what are called "cirquents." A cirquent is a generalization of a sequent, allowing for multiple premises and conclusions that can be structured in a graph-like form rather than in a linear sequence.

Polish notation, also known as prefix notation, is a mathematical notation in which the operator precedes its operands. This means that instead of writing an expression in the conventional infix notation (where operators are placed between operands), Polish notation allows for expressions to be written without the need for parentheses to denote order of operations.

A machine is an apparatus or device that uses energy to perform a specific task or series of tasks. At its core, a machine can manipulate or control physical forces to achieve a desired outcome, often making work easier or more efficient. Machines can be simple, like levers and pulleys, or complex, like computers and industrial robots.

Exact diagonalization is a numerical technique used in quantum mechanics and condensed matter physics to solve quantum many-body problems. The goal is to find the eigenvalues and eigenstates of a Hamiltonian, which describes the energy and dynamics of a quantum system. This method is particularly useful for systems with a finite number of degrees of freedom, such as spin systems or small lattice models.

PEDOT-TMA refers to a specific type of conducting polymer that is derived from poly(3,4-ethylenedioxythiophene) (PEDOT) modified with a charge-balancing anion, typically trimethylamine (TMA).

A Patlak plot is a graphical analysis tool used primarily in the field of medical imaging, particularly in dynamic positron emission tomography (PET) studies. It is named after the researcher who developed it, Dr. Albert Patlak. The Patlak plot is used to analyze the kinetics of radiotracer uptake in tissues over time, helping to estimate parameters related to tissue perfusion and metabolic activity.

Eugenio Moggi is an Italian football executive known for his role in Italian football, particularly as a director of several clubs. He is most famously associated with Juventus, where he served as the general manager and played a significant role in the club's success during the late 1990s and early 2000s. Moggi was involved in various controversies and was at the center of the Calciopoli scandal, which involved match-fixing allegations in Italian football.

"Escher in the Palace" is an immersive exhibit that combines art and technology to create an experience inspired by the works of Dutch graphic artist M.C. Escher. The exhibit often features intricate visual illusions, impossible constructions, and explorations of infinity, characteristic of Escher's work. Visitors to the exhibit can expect to engage with interactive displays, visual installations, and augmented reality components that bring Escher's iconic artworks to life.

"Mott the Hoople" is the self-titled debut album by the British rock band Mott the Hoople, released in 1969. The band, formed in 1969 in Herefordshire, England, was known for its eclectic style and became an influential group in the glam rock movement. The album features a blend of rock, pop, and other musical influences, showcasing the band's early sound.

"MacGyver" is a television series that premiered in 2016 as a reboot of the original series that aired from 1985 to 1992. The modern iteration was developed by Peter Lenkov and follows a young Angus "Mac" MacGyver, played by Lucas Till, who is a resourceful and intelligent problem-solver working for a covert organization within the U.S. government.

"Clocks" can refer to different concepts depending on the context. Here are a few possibilities: 1. **Timekeeping Devices**: Clocks are instruments used to measure and indicate time. They can be mechanical, electronic, or digital, and are found in various forms, including wall clocks, wristwatches, alarm clocks, and more.

Cutting machines are devices designed to cut various materials into specific shapes, sizes, or profiles. They are used in a variety of industries, including manufacturing, construction, textiles, and more. The types of cutting machines can vary widely depending on the materials they are intended to cut and the complexity of the cutting process. Here are some common types of cutting machines: 1. **Laser Cutting Machines**: Utilize a high-powered laser to cut through materials like metal, wood, plastic, and fabric.