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A tolerance interval (TI) is a statistical interval within which, with some confidence level, a specified sampled proportion of a population falls. "More specifically, a 100×p%/100×(1−α) tolerance interval provides limits within which at least a certain proportion (p) of the population falls with a given level of confidence (1−α)."
The formula above is also known as the root of the second central moment of the normalised delay power density spectrum. The importance of delay spread is how it affects the Inter Symbol Interference (ISI). If the symbol duration is long enough compared to the delay spread (typically 10 times as big would be good enough), one can expect an ...
In photographic optics, the Zeiss formula is a supposed formula for computing a circle of confusion (CoC) criterion for depth of field (DoF) calculations. The formula is c = d / 1730 {\displaystyle c=d/1730} , where d {\displaystyle d} is the diagonal measure of a camera format, film, sensor, or print, and c {\displaystyle c} the maximum ...
Consider , the exact solution to a differential equation in an appropriate normed space (, | | | |). Consider a numerical approximation u h {\displaystyle u_{h}} , where h {\displaystyle h} is a parameter characterizing the approximation, such as the step size in a finite difference scheme or the diameter of the cells in a finite element method .
In an analogous way, one can obtain finite difference approximations to higher order derivatives and differential operators. For example, by using the above central difference formula for f ′(x + h / 2 ) and f ′(x − h / 2 ) and applying a central difference formula for the derivative of f ′ at x, we obtain the central difference approximation of the second derivative of f:
An error-tolerant design (or human-error-tolerant design [1]) is one that does not unduly penalize user or human errors. It is the human equivalent of fault tolerant design that allows equipment to continue functioning in the presence of hardware faults, such as a "limp-in" mode for an automobile electronics unit that would be employed if ...
Statistical Query Learning [8] is a kind of active learning problem in which the learning algorithm can decide if to request information about the likelihood () that a function correctly labels example , and receives an answer accurate within a tolerance .
The tolerable level of these risks is specified as a safety requirement in the form of a target 'probability of a dangerous failure' in a given period of time, stated as a discrete SIL. Certification schemes, such as the CASS Scheme (Conformity Assessment of Safety-related Systems) are used to establish whether a device meets a particular SIL ...