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stability
(redirected from constancy)

    Also found in: Dictionary/thesaurus, Wikipedia, Hutchinson 0.04 sec.
stability: see equilibrium equilibrium, state of balance. When a body or a system is in equilibrium, there is no net tendency to change. In mechanics, equilibrium has to do with the forces acting on a body.
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stability

In mathematics, a condition in which a slight disturbance in a system does not produce a significant disrupting effect on that system. A solution to a differential equation is said to be stable if a slightly different solution that is close to it when x = 0 remains close for nearby values of x. Stability of solutions is important in physical applications because deviations in mathematical models inevitably result from errors in measurement. A stable solution will be usable despite such deviations.
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