probable errorn.

Brit.

/ˌprɒbəbl ˈɛrə/, U.S.

/ˌprɑbəb(ə)l ˈɛrər/

Origin: Formed within English, by compounding. Etymons: probable adj., error n.

Etymology: < probable adj. + error n. In sense 2 after German wahrscheinlicher Fehler (F. W. Bessel 1816, in Abhandl. der Math. Klasse der Königlich-Preussischen Akad. der Wissensch. 1812–13 141; 1818, in Astronomisches Jahrb. 1818 233).

1. The error that is probable; likely error. Obsolete except as in sense 2.

ΘΚΠ

the world > relative properties > number > probability or statistics > [noun] > distribution > probable error

probable error1779

1779 Philos. Trans. (Royal Soc.) 69 446 The greatest error in the diminutions is not greater than one sixtieth of the common air introduced into the tube: so that, after having made five or six experiments successively, the probable error is so small that it may be safely neglected.

1793 Philos. Trans. (Royal Soc.) 83 102 From taking a mean of all the numbers in the 4th column, it seems the probable error, in reading off the divisions, is only 0″,53 in the equatorial circle.

1812 Philos. Mag. 39 241 All that can be gained is, that the errors are as trifling as possible—that they are equally distributed—and that none of them exceed the probable errors of the observation.

1843 N. Amer. Rev. Apr. 432 This is the comparison of nicely computed results, in most of which, the probable error is supposed by astronomers to be about two degrees.

2. Statistics. The difference between the mean of a distribution and the first or third quartile, i.e. an error of such a magnitude that larger and smaller errors are equally likely.Now largely superseded as a measure of accuracy or consistency by the standard error. The probable error is 0.67449 times the standard error.

ΚΠ

a1832 A. De Morgan Theory Probab. in Encycl. Metrop. (1845) II. 445 In calling e, thus obtained, the probable error, we mean then that any less superior limit of error is improbable, or any greater inferior limit.

1853 T. J. Lee Coll. Tables & Formulae (ed. 2) 238 E₂ = (mean error)... r = probable error of a single observation... r = 0.674489 E₂.

1854 Amer. Jrnl. Sci. 67 396 I have calculated..the amount of probable error in the determinations of many of the atomic weights.

1903 Biometrika 2 273 Unfortunately custom has not taken this standard deviation as the measure of the goodness of the sample, but the whole theory having developed from the normal curve, the probable error instead of the standard deviation has been chosen, i.e. ·67449 × standard deviation.

1938 D. C. Barton in A. E. Dunstan et al. Sci. of Petroleum I. viii. 369/2 Determinations of relative gravity with a probable error of ±10 or even ±5 tenth milligal are of value in geophysical prospecting.

2001 Limnol. & Oceanogr. 46 1291/2 The probable error is the square root of the sum of the squared errors.

This entry has been updated (OED Third Edition, June 2007; most recently modified version published online March 2022).

d. Mathematics. The quantity by which a result obtained by observation or by approximate calculation differs from an accurate determination. error of a planet: the difference between its observed place and that indicated by calculation. error of a clock: the difference between the time which it indicates and that which it ought to indicate. law of error, random error (see quots.). probable error, standard error (see under the first element).

ΘΚΠ

the world > relative properties > number > mathematics > [noun] > mathematical enquiry > result of > error in

error1715

riska1832

cumulative error1887

1715 tr. D. Gregory Elements Astron. I. i. §61. 123 All the errors of the Body L, arise from the Forces represented by the Right lines AM, MN.

1833 J. F. W. Herschel Astronomy iii. 136 By applying its [clock's] error and rate..he can correct its indications.

1838 A. De Morgan Ess. Probabilities 135 The number of positive and negative errors will in the long run be equal.

1875 F. Galton in London, Edinb. & Dublin Philos. Mag. 4th Ser. 49 37 The law of frequency of error says that ‘magnitudes differing from the mean value by such and such multiples of the probable error, will occur with such and such degrees of frequency’.

1876 Catal. Special Loan Coll. Sci. Apparatus S. Kensington Mus. §48 Testing how far the relative numbers in the several classes accord with the results of the Law of Error or Dispersion.

1878 B. Stewart & P. G. Tait Unseen Universe iii. 123 The same law as that of the Probability of error.

1910 Encycl. Brit. IX. 754/2 In mathematics, ‘error’ is the deviation of the observed or calculated quantity from its true value. The calculus of errors leads to the formulation of the ‘law of error’, which is an analytical expression of the most probably true value of a series of discordant values.

1936 Jrnl. Royal Aeronaut. Soc. 40 77 The distribution of the components of the velocity fluctuation at any given point appears to follow the ‘random error law’.

1951 M. Jahoda et al. Res. Methods Social Rel. I. iv. 100 Random error is due to those transient aspects of the person, of the situation of measurement, of the measurement procedure, etc., which are likely to vary by chance from one measurement to the next.

1959 Chambers's Encycl. VIII. 220/1 The component of molecular velocity along any chosen direction is distributed according to the so-called ‘error law’, i.e. the number of molecules whose component velocity u lies between narrow limits u and u + du is proportional to e^−Au2du.

单词	probable error
释义	probable errorn. Brit. /ˌprɒbəbl ˈɛrə/, U.S. /ˌprɑbəb(ə)l ˈɛrər/ Origin: Formed within English, by compounding. Etymons: probable adj., error n. Etymology: < probable adj. + error n. In sense 2 after German wahrscheinlicher Fehler (F. W. Bessel 1816, in Abhandl. der Math. Klasse der Königlich-Preussischen Akad. der Wissensch. 1812–13 141; 1818, in Astronomisches Jahrb. 1818 233). 1. The error that is probable; likely error. Obsolete except as in sense 2. ΘΚΠ the world > relative properties > number > probability or statistics > [noun] > distribution > probable error probable error1779 1779 Philos. Trans. (Royal Soc.) 69 446 The greatest error in the diminutions is not greater than one sixtieth of the common air introduced into the tube: so that, after having made five or six experiments successively, the probable error is so small that it may be safely neglected. 1793 Philos. Trans. (Royal Soc.) 83 102 From taking a mean of all the numbers in the 4th column, it seems the probable error, in reading off the divisions, is only 0″,53 in the equatorial circle. 1812 Philos. Mag. 39 241 All that can be gained is, that the errors are as trifling as possible—that they are equally distributed—and that none of them exceed the probable errors of the observation. 1843 N. Amer. Rev. Apr. 432 This is the comparison of nicely computed results, in most of which, the probable error is supposed by astronomers to be about two degrees. 2. Statistics. The difference between the mean of a distribution and the first or third quartile, i.e. an error of such a magnitude that larger and smaller errors are equally likely.Now largely superseded as a measure of accuracy or consistency by the standard error. The probable error is 0.67449 times the standard error. ΚΠ a1832 A. De Morgan Theory Probab. in Encycl. Metrop. (1845) II. 445 In calling e, thus obtained, the probable error, we mean then that any less superior limit of error is improbable, or any greater inferior limit. 1853 T. J. Lee Coll. Tables & Formulae (ed. 2) 238 E₂ = (mean error)... r = probable error of a single observation... r = 0.674489 E₂. 1854 Amer. Jrnl. Sci. 67 396 I have calculated..the amount of probable error in the determinations of many of the atomic weights. 1903 Biometrika 2 273 Unfortunately custom has not taken this standard deviation as the measure of the goodness of the sample, but the whole theory having developed from the normal curve, the probable error instead of the standard deviation has been chosen, i.e. ·67449 × standard deviation. 1938 D. C. Barton in A. E. Dunstan et al. Sci. of Petroleum I. viii. 369/2 Determinations of relative gravity with a probable error of ±10 or even ±5 tenth milligal are of value in geophysical prospecting. 2001 Limnol. & Oceanogr. 46 1291/2 The probable error is the square root of the sum of the squared errors. This entry has been updated (OED Third Edition, June 2007; most recently modified version published online March 2022). > as lemmas probable error d. Mathematics. The quantity by which a result obtained by observation or by approximate calculation differs from an accurate determination. error of a planet: the difference between its observed place and that indicated by calculation. error of a clock: the difference between the time which it indicates and that which it ought to indicate. law of error, random error (see quots.). probable error, standard error (see under the first element). ΘΚΠ the world > relative properties > number > mathematics > [noun] > mathematical enquiry > result of > error in error1715 riska1832 cumulative error1887 1715 tr. D. Gregory Elements Astron. I. i. §61. 123 All the errors of the Body L, arise from the Forces represented by the Right lines AM, MN. 1833 J. F. W. Herschel Astronomy iii. 136 By applying its [clock's] error and rate..he can correct its indications. 1838 A. De Morgan Ess. Probabilities 135 The number of positive and negative errors will in the long run be equal. 1875 F. Galton in London, Edinb. & Dublin Philos. Mag. 4th Ser. 49 37 The law of frequency of error says that ‘magnitudes differing from the mean value by such and such multiples of the probable error, will occur with such and such degrees of frequency’. 1876 Catal. Special Loan Coll. Sci. Apparatus S. Kensington Mus. §48 Testing how far the relative numbers in the several classes accord with the results of the Law of Error or Dispersion. 1878 B. Stewart & P. G. Tait Unseen Universe iii. 123 The same law as that of the Probability of error. 1910 Encycl. Brit. IX. 754/2 In mathematics, ‘error’ is the deviation of the observed or calculated quantity from its true value. The calculus of errors leads to the formulation of the ‘law of error’, which is an analytical expression of the most probably true value of a series of discordant values. 1936 Jrnl. Royal Aeronaut. Soc. 40 77 The distribution of the components of the velocity fluctuation at any given point appears to follow the ‘random error law’. 1951 M. Jahoda et al. Res. Methods Social Rel. I. iv. 100 Random error is due to those transient aspects of the person, of the situation of measurement, of the measurement procedure, etc., which are likely to vary by chance from one measurement to the next. 1959 Chambers's Encycl. VIII. 220/1 The component of molecular velocity along any chosen direction is distributed according to the so-called ‘error law’, i.e. the number of molecules whose component velocity u lies between narrow limits u and u + du is proportional to e^−Au2du. extracted from errorn. < n.1779 as lemmas
随便看	two asses two bricks and a tickey high two bullets and a bragger two by two two can play at that game two cents' worth two cheers two cultures two days' journey two etc days' journey two etc for the road two etc seater two faces in a hood two faces in one hood two faces under a hood two faces under one hood two feathers out of a goose uglying uglylooking uglyographize uglyography uglytempered ugrian ugric ugriness

probable errorn.

> as lemmas