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Escalator. For the album by Sam Gopal, see Escalator (album). An escalator is a moving staircase which carries people between floors of a building or structure. It consists of a motor -driven chain of individually linked steps on a track which cycle on a pair of tracks which keep the step tread horizontal.
A paternoster in Prague Paternoster elevator in The Hague, when it was still in operation. A paternoster (/ ˌ p eɪ t ər ˈ n ɒ s t ər /, / ˌ p ɑː-/, or / ˌ p æ-/) or paternoster lift is a passenger elevator which consists of a chain of open compartments (each usually designed for two people) that move slowly in a loop up and down inside a building without stopping.
This convergence result is widely applied to prove the convergence of other series as well, whenever those series's terms can be bounded from above by a suitable geometric series; that proof strategy is the basis for the general ratio test for the convergence of infinite series.
The idea of Lyapunov stability can be extended to infinite-dimensional manifolds, where it is known as structural stability, which concerns the behavior of different but "nearby" solutions to differential equations. Input-to-state stability (ISS) applies Lyapunov notions to systems with inputs.
Eventual consistency, also called optimistic replication, [2] is widely deployed in distributed systems and has origins in early mobile computing projects. [3] A system that has achieved eventual consistency is often said to have converged, or achieved replica convergence. [4] Eventual consistency is a weak guarantee – most stronger models ...
The Hayes-Wheelwright Matrix, also known as the product-process matrix, is a tool to analyze the fit between a chosen product positioning and manufacturing process. The first dimension of the matrix, the product lifecycle, is a measure of the maturity of the product or market. It ranges from highly customized products with low volumes, to ...
Introduction. A stochastic or random process can be defined as a collection of random variables that is indexed by some mathematical set, meaning that each random variable of the stochastic process is uniquely associated with an element in the set. [4][5] The set used to index the random variables is called the index set.
Alternating-direction implicit method. In numerical linear algebra, the alternating-direction implicit (ADI) method is an iterative method used to solve Sylvester matrix equations. It is a popular method for solving the large matrix equations that arise in systems theory and control, [1] and can be formulated to construct solutions in a memory ...