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error,

in law: see appealappeal,
in law, hearing by a superior court to consider correcting or reversing the judgment of an inferior court, because of errors allegedly committed by the inferior court.
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Error

 

in automatic control systems, the difference between the set point and the actual value of the quantity being controlled in a control process. At any given moment, the error can be regarded as the sum of the static error—the error under steady-state conditions—and the dynamic error—the error in a transient response. In the statistical analysis of automatic control systems, the distinction between steady-state and transient errors loses its meaning, and the quality of performance of such a system is evaluated by criteria associated with the probability characteristics of the error. An example of such a criterion is the minimum mean-square error.


Error

 

When a number a is taken as the approximate value of a quantity whose exact value is x, the error of a is the difference xa, which is also called the absolute error. The ratio of xa to a is called the relative error. An error is usually characterized by indicating its maximum possible value. The maximum possible value of the absolute error is the number Δ (a) such that ǀxaǀ ≤ Δ(a). The maximum possible value of the relative error is the number δ(a) such that

The maximum values of relative errors are often expressed as percentages. The numbers Δ(a) and δ(a) are taken as small as possible.

If a is the approximate value of x with a maximum absolute error of Δ(a), this fact can be written x = a ± Δ(a). The analogous expression for the relative error is x = a(1 ± δ(a)).

The maximum values of the absolute and relative errors indicate the maximum possible divergence between x and a. In addition to these values, an error is often characterized by the nature of its origin and by the frequency of occurrence of different values of xa. The methods of probability theory are used in this approach to errors.

The error of the result in the numerical solution of a problem is caused by inaccuracies intrinsic to the formulation of the problem and to the means used to solve it. Errors stemming from the inaccuracy of a mathematical description of an actual process—for example, from an inaccurate statement of the original data—are said to be inherent errors. Errors of method arise because of the inaccuracy of the method used in solving the problem. Computational errors are the result of inaccuracies in computations.

When computations are performed, initial errors pass in succession from operation to operation, accumulating and giving rise to new errors. The appearance and propagation of errors in computational work are studied by numerical analysis.

REFERENCES

Berezin, I. S., and N. P. Zhidkov. Metody vychislenii, 3rd ed., vol. 1. Moscow, 1966.
Bakhvalov, N. S. Chislennye metody. Moscow, 1973.

G. D. KIM

error

[′er·ər]
(computer science)
An incorrect result arising from approximations used in numerical methods, rather than from a human mistake or computer malfunction.
(science and technology)
Any discrepancy between a computed, observed, or measured quantity and the true, specified, or theoretically correct value of that quantity.

Error

Breeches Bible, the
the Geneva Bible, so dubbed because it stated that Adam and Eve made themselves breeches. [Br. Hist.: Brewer Dictionary, 101]
Cortez
alluded to in a poem by Keats, mistaken for Balboa, as discoverer of Pacific Ocean. [Br. Poetry: “On First Looking into Chapman’s Homer”]
Wicked Bible, the
misprinted a commandment as “Thou shalt commit adultery.” [Br. Hist.: Brewer Dictionary, 102]
seacoast of Bohemia
Shakespearean setting in a land with no seacoast. [Br. Drama: Shakespeare The Winter’s Tale, III,iii]

error

(1)
A discrepancy between a computed, observed, or measured value or condition and the true, specified, or theoretically correct value or condition.

error

(programming)
A mental mistake made by a programmer that may result in a program fault.

error

(3)
(verb) What a program does when it stops as result of a programming error.
References in periodicals archive ?
Effects of two commercial electronic prescribing systems on prescribing error rates in hospital in-patients: a before and after study.
There have also been several studies looking at prescribing errors which have identified inattention, lack of knowledge, communication problems and lack of familiarity with the patient as being contributory factors (15-17).
Following the tribunal Dr Singh said: "I would like to extend my apologies made to the GMC panel for my prescribing errors to Mr Froste and his family once again and to say how sorry I am for what happened to Mrs Froste.
To assess the effects of e-prescribing on medication errors, the authors looked at the number and severity of prescribing errors - such as ordering a medication but omitting the quantity, prescribing a drug to a patient with a known allergy to the active ingredient and injuries from medication - in 12 community-based medical practices in the Hudson Valley region of New York.
The authors suggest that implementing a basic electronic prescribing system may reduce nonclinical prescribing errors such as illegibility, missing information, and wrong dose, but that the addition of CDS alerts will be necessary to help reduce more severe clinical prescribing errors, such as contraindications due to drug-disease or drug-drug interactions.
From 252 articles included in the initial database (Appendix A), 12 studies reported rates of prescribing errors after CPOE and handwritten orders (Bates et al.
An effective way to avoid prescribing errors is for pharmacists to take a patient's medication history as they are admitted to hospital according to the results of a new study to be revealed today (Wednesday 28 September 2005) at the British Pharmaceutical Conference in Manchester.
Other goals of the 100,000 Lives Campaign include delivery of evidence-based care for patients with acute myocardial infarction, implementation of "medication reconciliation" to prevent prescribing errors, and use of science-based methods to prevent central-line infections, ventilator-associated pneumonia, and surgical-site infections.
Of the respondents who have EHRs in place, 73 percent said such systems helped to improve patient health by reducing prescribing errors and enhancing patient communication.
To be "Leapfrog certified" a hospital must demonstrate that its CPOE system can intercept at least 50 percent of common serious prescribing errors.
Pharmacists at a London teaching hospital recorded details of prescribing errors in all patients, other than those in obstetric wards, over a fourweek period.