Mean error

Definitions

  • Webster's Revised Unabridged Dictionary
    • Mean error (Math. Phys) the average error of a number of observations found by taking the mean value of the positive and negative errors without regard to sign.
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Quotations

  • Azel Backus
    Azel Backus
    “Error always addresses the passions and prejudices; truth scorns such mean intrigue, and only addresses the understanding and the conscience.”

Usage

In literature:

Our own observations, of course, are by no means free from error.
"Logic" by Carveth Read
Liberality means leniency to error and evil, and severity towards truth and goodness.
"Modern Skepticism: A Journey Through the Land of Doubt and Back Again" by Joseph Barker
This error is by no means confined to beginners.
"The Head Voice and Other Problems" by D. A. Clippinger
Nor have we by any means exhausted the list of errors and contradictions of these.
"Fables of Infidelity and Facts of Faith" by Robert Patterson
The most objectionable errors in speaking or writing are those in which words are employed that are unsuitable to convey the meaning intended.
"The Handy Cyclopedia of Things Worth Knowing" by Joseph Triemens
The following "vo" may be an error for "v{o}" (with superscript "o"), meaning either "quinto" (5th) or "ultimo" (last).
"The Palace of Pleasure, Volume 1" by William Painter
In the second place, her estimate is so rough that an error must be very great in order to have any meaning.
"The Measurement of Intelligence" by Lewis Madison Terman
Stein is by no means free from errors, and some surprising omissions.
"A Book for All Readers" by Ainsworth Rand Spofford
I do not mean that they were stupid; it would be an error of the first magnitude to suppose anything of the sort.
"Change in the Village" by (AKA George Bourne) George Sturt
For it happens frequently enough that we learn only a portion of this truth, which by this means is distorted into error.
"Laurus Nobilis" by Vernon Lee
He had mistaken my meaning, but it was I who was to blame for the error.
"A Romantic Young Lady" by Robert Grant
There is a common error in the world as to the meaning of the word republic.
"The Life of Cicero" by Anthony Trollope
The latter are authoritative, they are never means to an end, they admit no exception, they leave no room for error.
"The Religious Sentiment" by Daniel G. Brinton
How many errors would be avoided, how many wanderings checked, by means of this spiritual wisdom!
"The Prayers of St. Paul" by W. H. Griffith Thomas
He desired an aristocracy of the elect, armed with the means of punishing not only crime but vice and error.
"The History of Freedom" by John Emerich Edward Dalberg-Acton
He, too, crossed the bridge, meaning to find Clancy and explain his error.
"The Bartlett Mystery" by Louis Tracy
We must not be blind to the serious errors of monkery; but we are bound also to own that God was pleased to make it the means of great good.
"Sketches of Church History" by James Craigie Robertson
These efforts to simplify the meaning of human events have often led to error, have stressed certain events too strongly, have minimized others.
"The Planters of Colonial Virginia" by Thomas J. Wertenbaker
The error of each step is found by subtracting this mean from each of the numbers in the previous line.
"Encyclopaedia Britannica, 11th Edition, Volume 5, Slice 1" by Various
His error is by no means an uncommon one.
"The Soul of Golf" by Percy Adolphus Vaile
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In poetry:

'Tis no mean fortune to have heard
A singer who, if errors blurred
His sight, had yet a spirit stirred
By vast desire,
And ardour fledging the swift word
With plumes of fire.
"Shelley's Centenary" by William Watson

In news:

Unless the errors dramatically affect meaning, let it go.
However, all of these methods still introduce some errors into the communcations and key receptions, meaning that it's possible for Alice and Bob to notice the eavesdropping and act accordingly.
A look at snaps played by Patriots defenders in the team's 31-24 win over the Colts, while analyzing what it might mean (as charted in press box, small margin for error).
A computer error means free parking for some fliers at the Seattle airport .
A computer error means free parking for some fliers at the Seattle airport.
A look at the snaps played by Patriots defenders in Sunday's win over the Broncos, while analyzing what they mean (small margin for error).
Snaps played by Patriots' offensive skill-position players in Monday's 42-14 win over the Texans, while analyzing what it might mean (small margin for error).
Snaps played by Patriots defenders in Monday's 42-14 win over the Texans, and analyzing what it means (small margin for error).
It means that both teams need to play precise, speedy, fundamental and error-less basketball.
Faxing only means that someone has to re-type it on this end, which means increased chance for error, and increased chance for carpal tunnel syndrome.
A look at the first-half snaps played by Patriots offensive players in the team's 31-14 preseason win over the Buccaneers while analyzing what they mean (as charted in press box, small margin for error).
A look at the snaps played by Patriots skill-position players in the team's 59-24 win over the Colts, while analyzing what it means (small margin for error).
Good communication is both an ethical imperative, necessary for informed consent and effective patient engagement, and a means to avoid errors, improve quality, save money and achieve better health outcomes.
And the poll 's 3.1 percent margin of error could mean Mandel is closer, or further, from that lag than it may seem.
Relatively small errors by surveyors using stakes, hatchets and mental arithmetic 240 years ago could mean the end of Victor Boulware's tiny convenience store.
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In science:

This means that if we increase the number of random walkers to decrease the statistical error, consequently we must reduce δ and so increase the running time.
An Efficient Modified "Walk On Spheres" Algorithm for the Linearized Poisson-Boltzmann Equation
The last column gives the size of the sample required in a Monte Carlo simulation, to estimate the mean within ±10% statistical error by random sampling from the f -ensemble.
An Introduction to Monte Carlo Simulation of Statistical physics Problem
We shall interpret the one-sigma confidence interval of the Gaussian as the statistical error associated with the estimated mean of the N independent random variables.
Monte Carlo: Basics
Notice that the sample size N must be large for the above estimate of the error (and of course the mean) to hold well.
Monte Carlo: Basics
An elliptic error box means unequal and/or correlated errors on Q and U .
Some sources of systematic errors on CMB polarized measurements with bolometers
As one measure of the accuracy of the procedure, we sort the eigenvalues from highest to lowest, and divide the root-mean-squared error in the n-th eigenvalue by the root-mean-squared value of that eigenvalue.
Random Vibrational Networks and Renormalization Group
As a more stringent test of the accuracy, if we instead divide the root-mean-square error by the root-mean-square sample-to-sample fluctuations in that eigenvalue, the relative error averaged over all n is ∼ 15% for the same system.
Random Vibrational Networks and Renormalization Group
For PGC 7223 and PGC 65866 the positions could be determined equally good as for stars in the fields with mean errors <∼ 15 mas.
Formalism and quality of a proper motion link with extragalactic objects for astrometric satellite missions
The mean proper motion error σ(ωi ) of the link depends on the size of the mean errors in the reference catalogue ∆Ref and the satellite catalogue ∆Cat .
Formalism and quality of a proper motion link with extragalactic objects for astrometric satellite missions
Further tests showed that the mean errors are independent of the value of the mean proper motion µ if the correction terms are used.
Formalism and quality of a proper motion link with extragalactic objects for astrometric satellite missions
If we fix the mean errors of both catalogues and vary the number of link objects Nobj the resulting error could, as one would expect, be fitted by a function ∝ 1/ pNobj .
Formalism and quality of a proper motion link with extragalactic objects for astrometric satellite missions
The relation between the resulting link mean error and the mean errors of the catalogue is shown in Fig. 3.
Formalism and quality of a proper motion link with extragalactic objects for astrometric satellite missions
We plotted the error σ(ωi ) depending on the size of the mean errors ∆ of the simulated reference (ref) and satellite (cat) catalogues.
Formalism and quality of a proper motion link with extragalactic objects for astrometric satellite missions
The behaviour is as follows: if we fix the mean error of one catalogue , for example ∆cat = 0 mas yr−1 , and increase the other one, the resulting error for the proper motion link σ(ωi ) increases linearly.
Formalism and quality of a proper motion link with extragalactic objects for astrometric satellite missions
If we include more QSOs by using fainter objects the mean error decreases only slightly.
Formalism and quality of a proper motion link with extragalactic objects for astrometric satellite missions
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