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individual major error sources with the quarrfifled<br />

error or uncalainty which each contributes to a<br />

total system accrsracy or probable error.<br />

●rror ●queflo-The probability equation<br />

wtrbzh expresses the laws 01 the occurrence of<br />

random errors. This equation expresses the<br />

relatbnship between obsemed values, PIUS fketorder<br />

cxwredrnn terms, and theoretical vafues.<br />

The error equatimt ie the basis of the method of<br />

feast squares, used fn rhe adjustment o!<br />

obeewalions for detarminirrQ lha most probable<br />

vah.re of a resuft from those observations,<br />

error lntervaf-Sea confldance interval.<br />

error of cloeure-1. (general) The amount<br />

by which a quanftty oMainetY by a serfes of<br />

related measurements diffem from me true or<br />

fixed value of tha same quanffly. Also called<br />

clonlng error; closure. 2. (angles) The<br />

arneum by which lhe actual aum 01 a series of<br />

angles fails 10 equal the theoretically exact value<br />

of that sum. Also called angular error of<br />

cioeute. 3. (azimuth) The amount by which<br />

two va!ues of the azimuth of a line, derived by<br />

dtierent surveys or along ditferanl mutes, fail to<br />

be exactly equal 10 each other. Also called<br />

azimuth error of closure. 4. (leveling) The<br />

amoum by which rwo vatues of the elevation of<br />

the same bench mark, derived by difterem<br />

surveys or through diflarent survay routes or by<br />

independent observations, fail 10 be exacily<br />

equal 10 each olher. Also called levellng error<br />

01 cloaura. See alaa clrcult closure. 5.<br />

~loop) The error In lhe closure of a swvay on<br />

ttseff. Loops do nof pmtecf against systematic<br />

errors in dietenw measurement or blunders in<br />

starting posifbn or azimuth. Atao called foop<br />

error of cloeure. 6. (horizon) The amoum by<br />

which Ihe sum of a series of adjacent measured<br />

horfzomal anglas around a point falls to equal<br />

axactiy 360”. Meaauremarrf of the last angle of<br />

the series Is called cioalng tha horizon; also<br />

callad ctcxauro of horizon; horizon<br />

closure. 7. (triangie) The amount by which the<br />

sum of Ihe three observed angies of a lriangfe<br />

falls to ecpal exactly 1SO” ptus the spherical<br />

axcem of tha triangle. Atao callad closure of<br />

triangie; triangfe cioeure; triangle error<br />

of cfoaure. 8. (traverse) The amount by which<br />

a value of the positkm of a traverse station, as<br />

obtained by computation through a travarse,<br />

fails to agree with another vatue of tha same<br />

atatbn as determined by a different set of<br />

observations or mu!ea of survey. Also calied<br />

closure of traverse; error of survey;<br />

horizontal cloeure error; travarse error<br />

MIL-HDBK-850<br />

87<br />

of cloeure. See also Ilnaar error of<br />

ctoaure; reiative error ot ciosure.<br />

error of Collimation-See collimation<br />

error.<br />

error of Obaewatlon-The difference<br />

between an obsewed value of a quamity and a<br />

value adopted as representing the fdeai or true<br />

vaiue of that quantity.<br />

error of rurt-(micmmeter) The dfflerence, in<br />

eeconds of arc, between the infemMd vaiue of<br />

one tum of lhe micmmeter screw and ifs actual<br />

value as determined by maasuring tha spaca<br />

batwean two adjasant graduation ma~a of Ihe<br />

circle with the micrometer. Aieo calied mn; mn<br />

of micrometer.<br />

error of survey-See error of ciosure,<br />

cfetinition 8.<br />

arror of the maan-See standard error of<br />

the mean.<br />

error—1. The difference between an obearved<br />

or compuled vaiue of a quantify and Iha Idaai or<br />

true value of that quarrtffy. 2. An errer is<br />

genersliy ciasstfied as one of three types: (i) a<br />

blunder (mistake) which can be identified and<br />

corrected; (2) a systematic error, either constant<br />

or variable, which must be compensated foc<br />

and (3) a random error, one of the ctaas of small<br />

inaccuracies due 10 imperfections in equipment,<br />

surrounding condiiiona, or human fimifations.<br />

See aieo rsbsoiute error; actual erro~<br />

accumulative error; biunder;<br />

chronometer error; Clrcult CIOSUrO;<br />

circular error; circular error probable:<br />

cfrcular near-cerfrxlnty error; circular<br />

standard error; clamplng error;<br />

collimation error; compass fndex error;<br />

compensating error; constant ●rror;<br />

curved-path srror; eccentric errori<br />

erratic error; extarnal srrofi gnsdueflon<br />

arror; gross error; Indax error; inherited<br />

error; Instrument srror; iaw of<br />

propagation of error; ilnear error; mean<br />

square error: moduiaflon error: natural<br />

arror; naar-cenafnty error; orthomefric<br />

error; parallactfc error; periodic errors:<br />

peraonaf error; pointing error; poslffonal<br />

error; principabdlafance error; prlnclpalpolnt<br />

error; prlsmafic error; probabie<br />

error; random error; reslduel error;<br />

resultant error; scafe error; shade error;<br />

standard arror; ●yetemsflc error;<br />

fheoretlcal error.

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