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Index error

Definitions

  • Webster's Revised Unabridged Dictionary
    • Index error the error in the reading of a mathematical instrument arising from the zero of the index not being in complete adjustment with that of the limb, or with its theoretically perfect position in the instrument; a correction to be applied to the instrument readings equal to the error of the zero adjustment.
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Usage

In literature:

There are serious errors in the indexes (indices) in this new Algebra.
"Practical Exercises in English" by Huber Gray Buehler
By Fox's Needle A, corrected for index error etc.
"Narrative Of The Voyage Of H.M.S. Rattlesnake, Commanded By The Late Captain Owen Stanley, R.N., F.R.S. Etc. During The Years 1846-1850. Including Discoveries And Surveys In New Guinea, The Louisiade Archipelago, Etc. To Which Is Added The Account Of Mr. E.B. Kennedy's Expedition For The Exploration Of The Cape York Peninsula. By John Macgillivray, F.R.G.S. Naturalist To The Expedition. In Two Volumes. Volume 1." by John MacGillivray
I made its meridian altitude A.H. 118 degrees 12 minutes (I did not take notice of the index error) the latitude is by that observation.
"Journal of Landsborough's Expedition from Carpentaria" by William Landsborough
An error after adjustment is called the Index Error.
"Lectures in Navigation" by Ernest Gallaudet Draper
This would serve in some degree to lessen the errors of his index of variation.
"The Value of Money" by Benjamin M. Anderson, Jr.
The measures can be made on both sides of zero for eliminating index error.
"Encyclopaedia Britannica, 11th Edition, Volume 13, Slice 2" by Various
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In news:

The retailer bounces back up a mobile site performance index after a week of errors.
The index shows a wide range of error rates and page speeds among the sites monitored.
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In science:

Here we considered the error of the spectral index α to calculate the error of the luminosity at 0.1keV and then the error of mass using equation (1).
Black hole masses in narrow-line Seyfert 1 galaxies
The WMAP best fitted power law result is indicated by PLΛCDM, and it is compared with the WMAP Running Spectral Index model (RSI) with errors combined with different additional data (hatched regions); the curves are isocurvature spectra with different prescriptions.
The First Cosmic Structures and their Effects
In many examples, in particular when the windows are regular polytopes, the maximal error is so small (at most of the order of a few percent) that one can safely ignore it and work with the module index instead.
Solution of the coincidence problem in dimensions $d\le 4$
Index Terms - Hypothesis testing, multiple hypotheses, logarithmically asymptotically optimal (LAO) tests, two independent ob jects, error probability, reliability function.
On LAO Testing of Multiple Hypotheses for Many Independent Objects
Type I errors are reported when p1 = 0. bNidx is the average number of index cases. c Ntot is the average total number of cases.
A resampling-based test to detect person-to-person transmission of infectious disease
Type I errors are reported when p1 = 0. bNidx is the average number of index cases. c Ntot is the average total number of cases.
A resampling-based test to detect person-to-person transmission of infectious disease
The error of the equation with index k, Ek, is removed completely in step (c).
Application of Quantum Theory to Super-parametric Density Estimation
We include the sensitivity of the time of disruption to the power-law index in the error bars for tD and use tD = 2003.70±0.02.
UV/Optical Detections of Candidate Tidal Disruption Events by GALEX and CFHTLS
Ramsay and Silverman (2005) treat the temperature profiles by an elementary multi-group functional model, Yk(g,l) (t) = µg (t) + ǫk(g,j) (t), where k = k(g, l) indexes the l’th station of region g, µg (t) is the mean temperature profile for the g ’th region, and ǫk(g,j) (t) are random errors.
A powerful test based on tapering for use in functional data analysis
Since we must estimate the spectral index to compute pTP, we also propagate the statistical errors on ˆγ to the tail power statistic.
Statistical Tools for Analyzing the Cosmic Ray Energy Spectrum
The un-binned estimator of the pure power-law spectral index (see §3.1) has been shown[5,9] to have an error estimate within ∼ 1% of the Cramer-Rao lower bound for a sample with as few as ∼ 100 events.
Statistical Tools for Analyzing the Cosmic Ray Energy Spectrum
The smearing does not effect the estimated spectral index, though it does increase the error of the estimate.
Statistical Tools for Analyzing the Cosmic Ray Energy Spectrum
Further, for the AR process, we consider the residual-based cusum test since the tail index of the error distribution coincides with that of the AR process itself (cf.
Test for tail index change in stationary time series with Pareto-type marginal distribution
Shaded regions are 1σ errors and the ‘true’ spectral index is indicated on the right.
Rapporteur Summary of Sessions HE 2.2-2.4 and OG 2.5-2.7
However, again the high refraction index of silicon is very important for designing an error-tolerant high-reflection surface and the combination of silicon and 1550 nm seems to be an excellent choice.
Building blocks for future detectors: Silicon test masses and 1550 nm laser light
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