Canonical ensembleIn statistical mechanics, a canonical ensemble is the statistical ensemble that represents the possible states of a mechanical system in thermal equilibrium with a heat bath at a fixed temperature. The system can exchange energy with the heat bath, so that the states of the system will differ in total energy. The principal thermodynamic variable of the canonical ensemble, determining the probability distribution of states, is the absolute temperature (symbol: T).
Police carA police car (also called a police cruiser, police interceptor, patrol car, area car, cop car, prowl car, squad car, radio car, or radio motor patrol) is a ground vehicle used by police and law enforcement for transportation during patrols and responses to calls for service. A type of emergency vehicle, police cars are used by police officers to patrol a beat, quickly reach incident scenes, and transport and temporarily detain suspects, all while establishing a police presence and providing visible crime deterrence.
Ludwig BoltzmannLudwig Eduard Boltzmann (ˈluːtvɪç ˈbɔlt͡sman; 20 February 1844 – 5 September 1906) was an Austrian physicist and philosopher. His greatest achievements were the development of statistical mechanics, and the statistical explanation of the second law of thermodynamics. In 1877 he provided the current definition of entropy, , where Ω is the number of microstates whose energy equals the system's energy, interpreted as a measure of statistical disorder of a system. Max Planck named the constant kB the Boltzmann constant.
Burgers' equationBurgers' equation or Bateman–Burgers equation is a fundamental partial differential equation and convection–diffusion equation occurring in various areas of applied mathematics, such as fluid mechanics, nonlinear acoustics, gas dynamics, and traffic flow. The equation was first introduced by Harry Bateman in 1915 and later studied by Johannes Martinus Burgers in 1948. For a given field and diffusion coefficient (or kinematic viscosity, as in the original fluid mechanical context) , the general form of Burgers' equation (also known as viscous Burgers' equation) in one space dimension is the dissipative system: When the diffusion term is absent (i.
Wigner semicircle distributionThe Wigner semicircle distribution, named after the physicist Eugene Wigner, is the probability distribution on [−R, R] whose probability density function f is a scaled semicircle (i.e., a semi-ellipse) centered at (0, 0): for −R ≤ x ≤ R, and f(x) = 0 if |x| > R. The parameter R is commonly referred to as the "radius" parameter of the distribution. The Wigner distribution also coincides with a scaled beta distribution. That is, if Y is a beta-distributed random variable with parameters α = β = 3/2, then the random variable X = 2RY – R exhibits a Wigner semicircle distribution with radius R.
American system of manufacturingThe American system of manufacturing was a set of manufacturing methods that evolved in the 19th century. The two notable features were the extensive use of interchangeable parts and mechanization for production, which resulted in more efficient use of labor compared to hand methods. The system was also known as armory practice because it was first fully developed in armories, namely, the United States Armories at Springfield in Massachusetts and Harpers Ferry in Virginia (later West Virginia), inside contractors to supply the United States Armed Forces, and various private armories.
Rice distributionIn probability theory, the Rice distribution or Rician distribution (or, less commonly, Ricean distribution) is the probability distribution of the magnitude of a circularly-symmetric bivariate normal random variable, possibly with non-zero mean (noncentral). It was named after Stephen O. Rice (1907–1986). The probability density function is where I0(z) is the modified Bessel function of the first kind with order zero.
Production lineA production line is a set of sequential operations established in a factory where components are assembled to make a finished article or where materials are put through a refining process to produce an end-product that is suitable for onward consumption. Typically, raw materials such as metal ores or agricultural products such as foodstuffs or textile source plants like cotton and flax require a sequence of treatments to render them useful. For metal, the processes include crushing, smelting and further refining.
Factory systemThe factory system is a method of manufacturing using machinery and division of labor. Because of the high capital cost of machinery and factory buildings, factories are typically privately owned by wealthy individuals or corporations who employ the operative labor. Use of machinery with the division of labor reduced the required skill-level of workers and also increased the output per worker. The factory system was first adopted by successive entrepreneurs in Britain at the beginning of the Industrial Revolution in the late-eighteenth century and later spread around the world.
Functional flow block diagramA functional flow block diagram (FFBD) is a multi-tier, time-sequenced, step-by-step flow diagram of a system's functional flow. The term "functional" in this context is different from its use in functional programming or in mathematics, where pairing "functional" with "flow" would be ambiguous. Here, "functional flow" pertains to the sequencing of operations, with "flow" arrows expressing dependence on the success of prior operations.
