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Stable Algorithm (other)
* In computer science, a stable sorting algorithm preserves the order of records with equal keys. * In numerical analysis, a numerical stability, numerically stable algorithm avoids magnifying small errors. An algorithm is stable if the result produced is relatively insensitive to perturbations during computation. See also

* Stable (other) * Stability (other) {{disambig ...
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Sorting Algorithm
In computer science, a sorting algorithm is an algorithm that puts elements of a list into an order. The most frequently used orders are numerical order and lexicographical order, and either ascending or descending. Efficient sorting is important for optimizing the efficiency of other algorithms (such as search and merge algorithms) that require input data to be in sorted lists. Sorting is also often useful for canonicalizing data and for producing human-readable output. Formally, the output of any sorting algorithm must satisfy two conditions: # The output is in monotonic order (each element is no smaller/larger than the previous element, according to the required order). # The output is a permutation (a reordering, yet retaining all of the original elements) of the input. For optimum efficiency, the input data should be stored in a data structure which allows random access rather than one that allows only sequential access. History and concepts From the beginning of c ...
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Numerical Stability
In the mathematical subfield of numerical analysis, numerical stability is a generally desirable property of numerical algorithms. The precise definition of stability depends on the context. One is numerical linear algebra and the other is algorithms for solving ordinary and partial differential equations by discrete approximation. In numerical linear algebra, the principal concern is instabilities caused by proximity to singularities of various kinds, such as very small or nearly colliding eigenvalues. On the other hand, in numerical algorithms for differential equations the concern is the growth of round-off errors and/or small fluctuations in initial data which might cause a large deviation of final answer from the exact solution. Some numerical algorithms may damp out the small fluctuations (errors) in the input data; others might magnify such errors. Calculations that can be proven not to magnify approximation errors are called ''numerically stable''. One of the common ...
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Stable (other)
A stable is a building in which livestock are kept. As an adjective, it means unchanging, permanent, firmly fixed or established (see Stability). Stable or stables may also refer to: * Stables (Law), Scottish law firms, employing advocates * Stables (surname), people with the surname * Stable (music), a group of musicians who work under the same agency, management, publisher or record company. See: roster. * Stable (wrestling), a group of wrestlers within a promotion who have a common element in professional wrestling. ** ''Heya'' (sumo), an organization of sumo wrestlers, along with their physical living quarters, commonly translated as "stable" * The Stables, a music venue in Milton Keynes, England See also * * * Stability (other) Stability may refer to: Mathematics *Stability theory, the study of the stability of solutions to differential equations and dynamical systems **Asymptotic stability **Linear stability **Lyapunov stability **Orbital stability **Struct ...
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