ОБ ИСКЛЮЧЕНИИ ОШИБОК ИСХОДНЫХ ДАННЫХ ПРИ УРАВНИВАНИИ

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<ul><li><p>This article was downloaded by: [Southern Taiwan University of Science andTechnology]On: 22 October 2014, At: 04:30Publisher: Taylor &amp; FrancisInforma Ltd Registered in England and Wales Registered Number: 1072954Registered office: Mortimer House, 37-41 Mortimer Street, London W1T 3JH,UK</p><p>Geodezijos DarbaiPublication details, including instructions forauthors and subscription information:http://www.tandfonline.com/loi/tgac18</p><p> . . a , Jonas Skeivalas &amp; JonasSkeivalasa Published online: 27 Sep 2012.</p><p>To cite this article: . . , Jonas Skeivalas &amp; Jonas Skeivalas (1976) ,Geodezijos Darbai, 8:1, 13-19, DOI: 10.1080/13921843.1976.10553157</p><p>To link to this article: http://dx.doi.org/10.1080/13921843.1976.10553157</p><p>PLEASE SCROLL DOWN FOR ARTICLE</p><p>Taylor &amp; Francis makes every effort to ensure the accuracy of all theinformation (the Content) contained in the publications on our platform.However, Taylor &amp; Francis, our agents, and our licensors make norepresentations or warranties whatsoever as to the accuracy, completeness,or suitability for any purpose of the Content. Any opinions and viewsexpressed in this publication are the opinions and views of the authors, andare not the views of or endorsed by Taylor &amp; Francis. The accuracy of theContent should not be relied upon and should be independently verified withprimary sources of information. Taylor and Francis shall not be liable for anylosses, actions, claims, proceedings, demands, costs, expenses, damages,and other liabilities whatsoever or howsoever caused arising directly orindirectly in connection with, in relation to or arising out of the use of theContent.</p><p>This article may be used for research, teaching, and private study purposes.Any substantial or systematic reproduction, redistribution, reselling, loan,sub-licensing, systematic supply, or distribution in any form to anyone is</p><p>http://www.tandfonline.com/loi/tgac18http://www.tandfonline.com/action/showCitFormats?doi=10.1080/13921843.1976.10553157http://dx.doi.org/10.1080/13921843.1976.10553157</p></li><li><p>expressly forbidden. Terms &amp; Conditions of access and use can be found athttp://www.tandfonline.com/page/terms-and-conditions</p><p>Dow</p><p>nloa</p><p>ded </p><p>by [</p><p>Sout</p><p>hern</p><p> Tai</p><p>wan</p><p> Uni</p><p>vers</p><p>ity o</p><p>f Sc</p><p>ienc</p><p>e an</p><p>d T</p><p>echn</p><p>olog</p><p>y] a</p><p>t 04:</p><p>30 2</p><p>2 O</p><p>ctob</p><p>er 2</p><p>014 </p><p>http://www.tandfonline.com/page/terms-and-conditions</p></li><li><p>GEODEZIJOS DARBAI, Vlll t., 76 </p><p> 528.115 </p><p>. . </p><p> . </p><p> , n </p><p> . </p><p> [ IJ . </p><p> w 2 , , - i</p></li><li><p>, </p><p>n </p><p> -1 = ~ -1 j ""'" ' 1 1 m </p><p>-1- :-1 -1 -~1 </p><p> , </p><p> 11 . </p><p> , ro rox, . , </p><p> . </p><p> . , </p><p> i"1 [ 1] . </p><p> . </p><p>: </p><p>(4) </p><p> v- - , - , - </p><p> , N =- 1- , - . </p><p> (2), : </p><p>(5) </p><p> ;1 - , = _1 _ 1 </p><p> +Pu , - , </p><p>; = 1. </p><p> ro : </p><p>ro = Auu +, (6) </p><p> Au- ( , - </p><p>), u- - . , (5)., (6), : </p><p>x=x-P-1ATN-1Ex(Auu+Ax) = (E-Q)x-Qtl, (7) </p><p> - Q=P 1-ATN-1ExA, Qu=P- 1ATN- 1ExA11 . </p><p>14 </p><p>Dow</p><p>nloa</p><p>ded </p><p>by [</p><p>Sout</p><p>hern</p><p> Tai</p><p>wan</p><p> Uni</p><p>vers</p><p>ity o</p><p>f Sc</p><p>ienc</p><p>e an</p><p>d T</p><p>echn</p><p>olog</p><p>y] a</p><p>t 04:</p><p>30 2</p><p>2 O</p><p>ctob</p><p>er 2</p><p>014 </p></li><li><p> (7). (7) : </p><p>= (E-Q)Mx-QuMu, </p><p> - . </p><p>(8) </p><p> : </p><p>........ ....., ........ ,...., </p><p>- ={(-) (-)}, (9) </p><p> - . </p><p>, (9) (7) (8), : </p><p> ={ ( -Q)~-Qu~} { (E-Q)~-Qu~u} = </p><p>={ ( -Q)~-Qu~u} {~ (E-Q)T -~~Q~}, ( 10) </p><p> ~=-, ~u=-Mu. </p><p>- = (-Q)(~~) (E-Q)T-QuM(~u~) (-Q)' -</p><p>- (E-Q)M (~~~)Q~ +QuM(~u~~)Q~ = (E-Q) ( -Q)T-</p><p>-- 2QuBu, x(E-Q)T+QuBuQ~. ( 11 ) </p><p> tl </p><p> Bu,x=O ( n ). (11) : </p><p>( 12) </p><p> ( 12) . , , </p><p> u . </p><p>II n </p><p>x=x+v=x-P- 1ATN- 1{Au(u+vu) +}, ( 13) </p><p> Vu- - n . n Vu n </p><p> u 1111 </p><p>, . . </p><p>V --P-ITN-1,_, u- u 11 u UIU t ( 14) </p><p> Pu- ( Bu), Au- , Nu = AuP;;-1 :,- . </p><p> N;;-1 , 11 . </p><p>15 </p><p>Dow</p><p>nloa</p><p>ded </p><p>by [</p><p>Sout</p><p>hern</p><p> Tai</p><p>wan</p><p> Uni</p><p>vers</p><p>ity o</p><p>f Sc</p><p>ienc</p><p>e an</p><p>d T</p><p>echn</p><p>olog</p><p>y] a</p><p>t 04:</p><p>30 2</p><p>2 O</p><p>ctob</p><p>er 2</p><p>014 </p></li><li><p> ( 14) : </p><p>vu =- ;;- 1 ~ N;;-1 Euw =- -;;- 1 ~ N;;-1 Eu (u +), ( 15) </p><p>-1 </p><p> ~ u- = _ 1 _ 1 - + Pu </p><p>, ; .'ISI -</p><p> =. </p><p> ( 13)1 ( 15) .: </p><p>x=x-P-1ATN-11A u-A p-tATN-1 E ( +)+l 1 ll u ll ll ll u u . J </p><p> AuP;;-1 ~= Nu. t : </p><p>= (E-P-1ATN-1A+P-1ATN-1E11A)x-</p><p>- (P-1ATN- 1A11 - P- 1ATN-- 1E11A11 ) t1. ( 16) </p><p>x={E-P- 1ATN-1(E-E11 )A}x-{P-- 1ATN- 1 (1:::-)}tt. (17) </p><p> l:::x =- Eu, - , (16) 11 ( 17) (7). </p><p> 1 111 </p><p> 1 : </p><p>x=x+v=x- P-1ATN- 1w=x- P-IATN- 1 ( 11 tt +)= </p><p>= (E-P- 1ATN-1A)x-P- 1ATN- 1Aut1. (18) </p><p> ( 18) ( ( 12)) : </p><p>( 19) </p><p> Q'=P-1ATN-1A, Q~=P- 1 ATN-1Au. .'! ( 16) ( 18) , </p><p> (P-1ATN-1Au- p-IATN- 1 E 11A11 )&lt; (P-IATN-'Au). (21) </p><p> (- 1 N- 1 ) (P-1ATN-'EuA11 ) . </p><p>(21) , (20). , 11 , </p><p>(- 1 ATN- 1 11 11 ) (), </p><p>16 </p><p>Dow</p><p>nloa</p><p>ded </p><p>by [</p><p>Sout</p><p>hern</p><p> Tai</p><p>wan</p><p> Uni</p><p>vers</p><p>ity o</p><p>f Sc</p><p>ienc</p><p>e an</p><p>d T</p><p>echn</p><p>olog</p><p>y] a</p><p>t 04:</p><p>30 2</p><p>2 O</p><p>ctob</p><p>er 2</p><p>014 </p></li><li><p>(P-1ATN-1EuA}. , (12} (- } (19} . (- }, . . (- )&lt; (- ). , -</p><p>, , </p><p>[ 1], 1t, n 1t . </p><p> ~c::r---+---tr-----~ 2 /2'\ </p><p>. 1 1111 </p><p> . , . 1. </p><p> : </p><p>(</p><p>-1+1+1 ) = 0-1-1+1 , Au= </p><p>+ 1 0+ 1 \ 1 </p><p>( ~ ~ )' +1-1 1,0 </p><p>= </p><p>h2 </p><p>h U= ( 1 ) =2 - 1 = 2 . 2 . h4 </p><p>3,0 </p><p>1,0 </p><p>2,0 hs 1,0 </p><p>2 Gcodczijos skyriaus dnrhai 17 </p><p>Dow</p><p>nloa</p><p>ded </p><p>by [</p><p>Sout</p><p>hern</p><p> Tai</p><p>wan</p><p> Uni</p><p>vers</p><p>ity o</p><p>f Sc</p><p>ienc</p><p>e an</p><p>d T</p><p>echn</p><p>olog</p><p>y] a</p><p>t 04:</p><p>30 2</p><p>2 O</p><p>ctob</p><p>er 2</p><p>014 </p></li><li><p> 0 - , - - , u-- . </p><p> . </p><p> : </p><p>1 2p-l 2(1,0 ) . u=CJo u =cro 1,0 ' </p><p>2 - 2 -1 - 2 ( 0,2 ) . u-cro - 0,2 . </p><p> , , </p><p> i"l ( 12) (-) 11 ( , . . ): </p><p>0,72 0,97 </p><p>1. D-=(B-)11=CJ2 0,62 </p><p>0,86 0,66 </p><p>0,54 0,64 </p><p>2. D-x=(Bx:);i=CJ~ 0,60 0,59 </p><p>0,56 </p><p> J.;.'l </p><p> (19) (-) 11 ( oGI\IIIICXox !le J.;): </p><p>0,88 1,28 </p><p>1. D =( )11=~ 0,64 1,10 </p><p>0,80 </p><p>0,56 0,64 </p><p>2. D = ( ) = ~ 0,60 0,61 </p><p>0,58 </p><p>1. D-x D , , 1 </p><p>18 </p><p>Dow</p><p>nloa</p><p>ded </p><p>by [</p><p>Sout</p><p>hern</p><p> Tai</p><p>wan</p><p> Uni</p><p>vers</p><p>ity o</p><p>f Sc</p><p>ienc</p><p>e an</p><p>d T</p><p>echn</p><p>olog</p><p>y] a</p><p>t 04:</p><p>30 2</p><p>2 O</p><p>ctob</p><p>er 2</p><p>014 </p></li><li><p> 30% ( , . . ). , </p><p>1 11 , -</p><p>' \l D- D ( ) .. </p><p>2. (2), , </p><p> 11 = ~ &gt;8, - </p><p> 10% . </p><p>l . </p><p>. </p><p>i1 rrr r </p><p>4.VI.\975 </p><p>1. . . 1 i'r r IICXOIIX BCIIIIII. J1JB. . feoiJeII 11 ,\IQ, I. 6, \967. </p><p>APIE PRADINII) DUOMENI) KLAIDI) ELIMINAVIMJ\ ISLYGINANT </p><p>Jonas S k i v 1 s </p><p>REZIUM~ </p><p>Darbe analiztjamas islygint dydzi tikslmas tam atvejtti, kai pradini dttomcn klaidos climinttojamos pagal mctodPateikiamas praktinis pavyzdys. </p><p>OF ELIMINATION OF INIIAL DATA ERRORS IN ADJUSTMENT </p><p>Jonas S k i v 1 s </p><p>SUMMARY </p><p>The of adjsted valttcs when initial data errors are elimi-nated the mcthod [ 1] is analyscd in the . The adjstment results are proved to of higher precision in tl1is case than thosc oblained without climinating the crrors in thc initia\ data. </p><p>An actual examplc is submittcd. </p><p>19 </p><p>Dow</p><p>nloa</p><p>ded </p><p>by [</p><p>Sout</p><p>hern</p><p> Tai</p><p>wan</p><p> Uni</p><p>vers</p><p>ity o</p><p>f Sc</p><p>ienc</p><p>e an</p><p>d T</p><p>echn</p><p>olog</p><p>y] a</p><p>t 04:</p><p>30 2</p><p>2 O</p><p>ctob</p><p>er 2</p><p>014 </p></li></ul>

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