1050_Circuit_Analysis_on_the_Recomp_II_Jan61 1050 Circuit Analysis On The Recomp II Jan61
1050_Circuit_Analysis_on_the_Recomp_II_Jan61 1050_Circuit_Analysis_on_the_Recomp_II_Jan61
User Manual: 1050_Circuit_Analysis_on_the_Recomp_II_Jan61
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RECOMP II USERS' PROGRAM NO. 1050 PROGRAM TITLE: OPERATING INSTRUCTIONS FOR MOMENT METHOD CIRCUIT ANALYSIS ON THE RECOMP II PROGRAM CLASSIFICATION: General AUTHORS: A. Lechler, M. Durry, J. E. Drennan Battelle Memorial Institute PURPOSE: To present detailed operating instructions for the circuit subroutine generator (compiler) and the moment method computer programs which have recently been developed and checked out on the RECOMP. DATE: 19 January 1961 Published by RECOMP Users I Library at AUTONETICS INDUSTRIAL PRODUCTS A DIVISION OF NORTH AMERICAN AVIATION, INC. 3400 E. 70th St., Long Beach 5, Calif. TABLE SECTION I - OF CONTENTS CmCUIT SUBROUTINE GENERATION (COMPILATION) LIMITATIONS Page 1 - ROUND OFF ERROR Page 2 - 10 SECTION II - MOMENT METHOD CmCUIT ANALYSIS CALCUIATION OF PARTIAL DERIVITIES, AND VARIANCES OF OUTPUT PARAMETERS APPENDIX - 2 (SAMPLE PROBLEM) Page 11 - 15 Page 1 - 15 TABLE 1 Page 2- TABLE 2 Page 3- OPERATING INSTRUCTIONS FOR MOMENT METHOD CIRCUIT ANALYSIS ON THE RECOMP II The purpose is to present detailed operating instructions for the circuit subroutine g;en;erator (compiler) and the moment method computer programs which have recently been developed and checked out on the RECOMP. The programs are logically divided into two sections: I II Circuit subroutine generation (compilation), and Moment method circuit analysis. Division I is essentially performed by loading one tape and typing one set of input. The results are one tape punched from the computer. The operating instructions are described in Section I. Division II consists of two phases. Phase 1 is the calculation of partial derivitives and is performed by loading two tapes, typing one set of input and waiting for the typeout of the partials. Phase 2 consists of loading a third tape, typing one more set of input and waiting for the typeout of the output parameter variances. The operating instructions are described in Section II. Limitations Throughout the programming of this problem, an effort was made to conserve space so that as large a circuit as possible could be used in this analysis. Even so, the memory size of the RECOMP makes certain limitations necessary, the most important of which are given below: (1) The number of input parameters must be not greater than 30. (2) The number of output parameters must be not greater than 25. The size ot the matrix of coefficients must be not greater than 12 x 120 (4) The number of constants appearing in the matrix equation other than the constant lJ) must be not greater than 490 If the same constant appcmrs more than once it is counted for each appea.ra.nce o (E;The first element in the matrlx solut1 the expression on the lett must be greate:r than 01' equal. to the eltliil 8.0 pression on bo th£~ r:lght~ If' G is used, '!'me expression on the le:rt must be greater than the expression on the righto If LE is used£j the expression on the left Co must be less than or equal to the ex. . . pression on the righto If L is used, "~e expression on the lett must 'be less then the expression on the rigbtQ do Wi thin each of the two ~upressic,ns (referred to above a.8 'lithe expression on the :Left" and "the expression on the right") typing is exact.:ty the same e.a. for the stress functions e ogo II Suppose a circu:tt lI.~ll fail when V1 ~=--yg Al ..... V2 G (. One would type: ( :Letter shirt V figure shift 1 & letter shift V figure shift 2 / ( letter shift A figure shift 1 + ~etter shift V t1sure shift 2 ) ) letter shift L E ) ~ (J V2 \. 2 :f'1gu."1:'e shift ( lettor shift V f:1gu::oe shift 2 & letter shift V figure shift 2 ) ce.rr1e.ge return (12) For each fail.ure "test the the success or fail.ure of computer stops when it 1..8 testa Repeat step (ll) ") generated 1nstruct~ons for detemirti.ng the circu11:. are punched out and the ready to receive the next failure When all fail.ure tests ha.ve been entered and the com,pute;r is reeiJ:y to accept another failure test type "l.etter shift"ta "STOpY- i "ea.rr1a.ge return"" (13) The computer will punch out the memory of the comp11era the A tabl.e, and stop a't 0006000 This is the end of the program 0 Advance the ~~pe and tear 1 t: off 0 This is the complete com.PUed portir,m of the circuit subroutine" ready to be read into the mac:hine for Phase II (ca.lculat1on of partials and va.r1ances)? (lia.) There are error halts PMgrammed into the com.p11er 0 These can be distinguished it'D stops where the comguter is wa.1 tins for typed infor:118.t10n bY the alpha light on the console 0 This llght w1.U be on if" ·the cOllrputer 1s val ting for information from are ldent1f1~d th~ t;ypewr1terQ The error halts by the :location ligbts on the consoleo too mtm.Y parentheses in a statement Each of the coefficients end stress tunctions end each half ot the fail.ure test'tfJlq have up to ten 0001 0 0 .. There are 0 sets of parentheseso 0002~O - There are too many cons"'o.iSllts in the compiled :progr&mo The Xlum.ber of conaD stant&, counting each repeated occurrence separa:tely but not counting the constant 100, must be 1.ess than fittyo 00030<0 en The A table is too b1go The number of input l"arame'ters (the A{j 8) pl.us the num'bel" of DOnq;aZero matrix el.ements each ot tt'.em appears in must not 00 greater than one hundred and fifty 0 000400 .... There are too many ordera in the canon pUed p~'T8mo The number of orders must not exceed eight huntlred and ninety SUo 000500 lID The number of lett parentheses 1s not equal to the number of right paren~ thesesQ Push the appropriate numbered start sw11iCh as deser!.bed bel.ow 000600 to y This is the end of the programo 1220 0 0 .... Something bas been typed wrong; eogO$ a figure e~h1ft when 1 t was not needed or WO le'tter shifts before an A or V Push the 'tstart" button (not one of the numbeled start buttons)o The tape will auto!!'atlcall.y be reset and the computer wilJ, soon stop, ready for the statement to be typed in aga1no . In the 0 case of tl.e coetf'lc1ents the identification, "row"» "CC\lIIDlS."I "columnn , «carriage return"a must be rE;aentered alsoo There are three numberec-:' start sntches at the right hand side of the consoleo These ere to, be used in conjunctian with error step 0005 0 0 and &r'Y' other time when an error in the ~cjg in has been made and reCognized before the carriage return 1s hit which sends the com.I;uter- on to compUing and punching out an algebraic sta:tement o Simply press the error reset button and the!? the appropriate: start buttono SW #1 .. This svltck\ is to be used during the "coefficients" pha.8€ of the compU1llgo It can be used e:ny time before the car.d.age return following the e.lgegn1c stateuent baa been hito Thus it can be usee, if an error 1n the identification is d1scover-ed wh11e one is 'tl'P1Ds in the correspond:t.ng algebraic statemen.to In all cases the 1dentlf'1cat10D1 "row", "comma", "column", "carr1age %'eturn" I must be typed ega1n, as veU as the algebraic sta.temento SA //2 - This SWltcJl is to be used during the "stress functions" phase of the campll.1Dgo The alge- braic statement must be reoentered tram the typewriter II sw #3 .. This swltcl\ is used during the "ta.:llure tests" phaHe ..rt the com.p1.l.:tngo Tile algebraic f:tatements must be retypedo It 1s hoped that these e~rror halts wUl catch 1llOst of the errors ot the typist buii no attempt was made to catch all errors 0 It there is an errors noticed later by the typist» but not noticed by the IJaCh1ne at the time ot compilD.:t1on of tbat statementj1 there is only one easy thing to do CD start overo ~'T IIo METHOD OPERATING INSTRUCTIONS = ,Palculat1on of Pe.rt1a.l. Derlv1t1ves, and Ve.r1ances of Ou5!ut parameter.! Upon comp~et1on of the c1rcu.1t subroutine compller, calculation ot the pa.rt1a.l dertvit1vas and va..risnces of output parameters "tfJf!q beS1no ~e following steps should be performed in aequenceo (1) Loa.d tape #1 (ceJ.culat1on of partials tape) (2) Verify tape (3) Loa.d the oomplled circuit subroutine tape, loeo, the tape that was punched dur.Lng the compilation phaseo ( 4) Verity the circu1t subroutine tapeo ( 6) The computer .v1ll 1noed1ately type "N IS", and atop wa.1tins tor the number ot different input pa:rameters, 1 o e o $ the number ot different A':so T.Y:pe the value of N, and hit carr:tage return o (7) The computer will 1noed1ately type "ITS IS", and atop wa1t1ng tor the number of different out,put pa.rameters.9 (1'1e0 8 number of matriX sol.utions + the number of tuncttons) ~ Type the value 0'1 ITS, and hit carr1age retumo (8) /13.0 The computer will immed1ately type ~S", do a carriage ret\...rll and stop valt1ng tor the means of each input parameter to be typed ine Type: 80 The mean ~ of input parameter Ai in the format ±xxxxx•••xoxxx---x i.e .. , ~'ype the value of' Ai without using an exponent and be sure to include the dec1ma.l pointo b. Hit the carriage return. Co Do .Ca) and (b) tor 1 • 1,2,3,4.DoNo After each carriage return be au:.re to vat t tor the computer t.o stop before typing the next mean value. (9) '!he Recomp will then solve the matrix equation with all parameters at their mean value.. It any' of the failure teats 1nd1ca.te failure, the RecompvUl stop with (5060.1) in the l.ooatton countero * This stop prababl.y means that It any mean or correlation coefficient 18 neptive type . positive, however, do not type a 81§!lo ft_ft" it the,- are something is wrong wi th -~e equ1valent c1rcu1 to PuShing the start button will C&-;18e the mean matrix solutions to be typed out in dec1m!u. floating point" five words per Une o If the c1rcu1'~ passes all the faUure tests the mean matrix 801ttt1onr:3 will automatical.ly be typed out 1n dec1ma.l f'loat1IJg }1Q1nt, five vorda per linea (10) In either case after the type-out ot the mean matrlx so1utl0nB, the computer will proceed automatics]] y to the calcula.tions ot partial.s 0 This operation will run interrupted tor a fairly long period of t1meo For a 6 x 6 matrix, 21 input parameters and 2 fUnctions the time rea:! qu1red is one hour and 23 m1nutes o As the partials are calculated they are typed out (dec1mal. floa:t1ng potnt,t f1ve words per Une) in groups ot ITSo The first group wiU be: the secand and so on, until the last group, which will be The o.ppro:d.ma.to time required tor the calculation ot partiaJ.s can be deteriid.ned by noting the time e1a.psed between the t)'peout of the mean. matrix solutions and the typecuout of the first set of part1el.s and DlUltipl3ing by No (11) After e.ll the partials are calculated, the Recomp wUl stop with (0003) in the location counter~ (l2) The next thing to do 1s load TapejJ2 (cal.culQ,t1on ot Variance Tape) 0 Be sure not to use a memory zero routineo - -13(13) Verity Tape i20 (14) Push the start buttono ... (15) The Reccm,p wUl 1lmnedin:tely type "Va.r1e.nces", do a carr1age return end stop wai't1ng tor the variance of each 1l;lput parameter to be typed. Type ~ (A) The var:l.a.nce ot input parameter Ai in the format JCCC---xoxxx---x ioe., type the value ot a- 2 Ai witbout using en exponent and be sure to include the decimal. po1ntD (B) Bit the carriage return o (C) Do (A) end (B) for 18 1,2,3 No After each carr1age return be sure to '1&1t tor 000 the computer ':;0 stop before typing the next vs.r1ance ') (16) After the vari.a.nces ~ read in, the computer 1s ready to accept the correlation coetticiE'..nts for all input parameters ot multi-parameter pa.r-~o For each such part it 1s necessary to type in the foll.ow1ng 1nf'ormat1on: (A) Part I.D o (a:n::' 2-dig1t identification tor the part) this nULlber w1ll appear in the output as en idenUf'1ca ;;lon ot the parto a (B ) NaP, the number of parameters in the part. (e) For evefLpoSSlbl.e ccmb1naUon ot parameters r the nUt1ed part a correlation coefficient must be typed in, even it it 1s zeroo AJ.ong vith this correlation coetficient the input parameter numbers of the two parameters in being corre18"~ are ~edQ The above information ~,:.s typed as :rollcus: (17) The com.puter will type "MULTI PARA PARTS", do a ca:rr1e.ge return, type "PART ID"II end stop wa1 ting tor a mu1ti-parmueter part 1dentification. ~1.'ype any two-digit number you choose. 1)0 not hit the carriagO returno The computer· w1ll 1mmed1ate.1.y type "NOP", ana stop va!t1ng tor the number ot parameters in this mul.t1-para.meter port to be typedo Type the value 0'1 NOP, and hit carriage returno (18) Tbe canputer wUl 1DIDediately -tn»e "CORR COElPP", do a carriage return end stop wa1ting tor the correlatiol.\ coef't1cients tor this part to be typed in. For ever:! pos81bl.e pair ot input pa.nmeters· in this multi-parameter part type: .·The l.ocaUon counter should be set to 0100.0, it it 1s not,the ll.OCat1on counter wUl have to be set :tram the k.e7'bOardo It tis 18 the case, a 118W' tape :IJ2 should be punched 1ncluiJ1ng the setting 0'1 the location counter to01QO.O. (A) The correlation coefficient in the format * ±GXXXX---X, ioeo, type the number wIthout using an exponent, end be sure to include the decimal. point. (:8) Hit the '!Pa.ce bar, and vd t for the Recamp to stop. (C) Type the input parameter number of one of the two parameters being correlated o (D) Hit the space barJ and wait tor the computer to stop. (E) Type the input parameter number ot the second of the two parameters being correlated 0 (F) Hi t the carrtage return. (0) Perform stapa (A) through (F) tor all posslb].e combinations ot the parameters in this part (10 eo, it there are n input parameters in this part, ~2-11 lines ot correlation coefficients must be ~ed). (19) When the input tor on(~ mult1-parameter part 1s compl.eted the com.. puter types "PART ID" again, expecting input tor another multlparameter parto If there are moremul:t1-parameter parts, repeat steps 17 end 18, when there are no more mult1-param.eter parts, type letter shift, ENDo (20) The input 18 now complete. The computer automatically starts to calculate the output parameter variances. For each of the r.t'S output parameters the tollOW'ing information 1s typed out. (21) The cOlDputertY,pes "VAR ot 1tt (1 1s the number ot the output pe.remeter being eval.ue:ted), does a carriage return and types out the total variance of output parameter 1 in dec1mal float11lg pointo It then does a carriage return, types "ST DV IS", does a ca.rr1age return and types the standard dev1aticm. of output parameter 1 in dec1mal floating point. (22) The Recomp. next types "PERCENT OF VAB DUE TO EACH PARA", and does a carri86e return. (23) It w1ll then type out NUnes of 1ntomaUono Each line w1ll contain two numberao The f'irst 1s in dec1mel. floating point and represents the percent of the total variance of output parameter 1 that 1s attributable to the input parameter whose Identi. fication is the second number on the same line. * If ezr:y _an or correlation coefficient 18 negetive type ".tt, it the7 are positive, however, do not type a sipo -15(24) N~.xt the computer types "PERCENT Olt' VAR DUE rro EACH PART" b and does a carriage return" (25) One line of output 1s then typed tor each multi-pa.rameter part :for which input data has been typed ino Each Une contains two numbers 0 The first 1s in dec1mal. floating point end is the percent of' the total variance ot output parameter i that is attr1buta'bl.e to the multi-parameter part whose identification is the second number on the same line 0 (26) Steps (2l) through (26) are performed for each output parameter (iceo, for i~l, 2, 3 --- ITS) (27) The program 1s finished and stops with (0002) in the location cOlmtero For a. c1rcu1t with 2l. input parameters, 8 output parameters, and 3 mult1"parameter partso The variance section required 29 minutes including typing in the datao J:£,v J 0 Eo Drennan Battelle Memorial Institute Appendix A (S3:mple Problem) As mentioned above, the sazn;p:i.e problem used to check is the f'light control flip fiopo O'llt these progrv.riW This circuit and the same set of (lata used on the Recamp were run throt.\gh the Moment Method Pl"gram on the The outgut is 00 ~th8;t m·i 709 labeled~: 6380..53 (004) 1.00 27 J DUFFY 3CJ~3-054 06/03/20 If' this out-,1;lut is not availahl.e at NoA.A o1 it can be obtained from Ao Lecbler at Battelle Memorial !nat!tllte o t-tas 0 TABLE 1 The Flight Control Flip Matrix as Provided by the Designer or the Circuit A;nalystQ - I 5. V,," -IEO'+ "J • ..1- Vo - 1 _ Rfsr Ro I . I -~, .,..~£ o - /(0 k'l) R1+R; - , ~/.-}f o V, I--- I o - R6 - I((J o I -R;; V~ I V6~ - - Sa... ~~ ~£ -("~ I -,,f~+Rc,..-:; .:= .,.;r; Kd If, - fI, +I,o .,.1£0 SJ -1<.0 R~ .51 ~ R? rlf":5 o o o o o -- I - Rei I o Rev -I 1?7 f! / Ita ... , , 6-- Va If..J , .... 14d' valls ,fcl ~ 3o)( I~' ol."'».s Vl Yl.J- () V.s Vb ~ TONCTIONS X 10' o/'hJ$ o X - R7 I .-- :J., ;f(!~ 'I 0 o - CON STAN T.5 Vk.t' --,;; :-..., .., ,. . ~~=.." I-~ qu '~_ I V3 - V..!..] ,f~ [ 1fJ. f ;fc~ct (5, - \/6).l. 1f3 1'IlliLE 2 Flight Control }I'lip llilop Af-ooze Input Parameters have been Assigned Identifications ..3 I A~ -A'9 -- . ~JJ, A~I 1=1/5 l 1111 fil,4/- -7 I ij"X(O -A'7 -t .5 II" ..,.. AI'/- + +-L A;"./ - -11" _ //l, •• ~u .5 I'.ij 1'l!,y. r II,,, +A/7 I I Ill, T'I ()4(7 ,000. = -f X It) -7 I ~~''104;;ao: Ts I - !JII +11,'1 0 0 0 - II~ IJ~I I .,. 71:;- --As I ,....., I 0 - ,46 I ~~ +IIC(J"~()II 0 , At A6 ~ I 11 v I - ;r;;- 0 # I I +".; .,.- ' - .,..- "c:t + f3" x 10 + I AI6 F All f'A/~ -!-XlfJ .:J 0 -? ifj .,. ---)(/0 I / - '/1 ~ 0 -7 I 0 I f-jll/IJ -7 14, 0 FUN C. T 16N..s _--L 4J1. 0 J -~ x. , -A;" ~ I A I;;" -, + 0 I Ai I An V, ..,. - L AII-IAI'I AI, -AI' A] ~'+~oo 040CJ~". -7 )161-1,"6.,.00". ~-~ ~5 41 I I "-A~/ AJI I +-'- - A~I Alii • oat" A;'.o --~ AfJ -1..XIO .3 0 T, I of I ~.,. AI3 -t--i; . MATRIX ORDER 6 COEFFICIENTS 1,1 Clo/(All+A14)+10/A21+o00000003333+10/Al5+1o/CA6+lOOOOOOo» 1,2 (-10/A21) 1,3 (-10/(A6+1OOoooo.» 1.,4 (-000000003333=1./(A11+A14» 1,'1 ((A3-A19)/AlS-0026/A21-A17+oS/(All+A14)) 2,1 (-10/A21) 2,2 (lo/AS+lo/A21+1o/A4) 2,,3 (-l./AS) 2,6 (-lo/AIt.) 2,7 (0026/121-A2O/15) 3,7 (12O/A5-A19/19) 4,1 (-000000003333-10/(A11+114» 4,4 (lo/A2+o00000006661+1o/AlO+lo/(A~i+A14» 9 ' 4(-000000003333) 4~6 (-10/A2) 4,., (-A19/Alo-.5/(Al1+Al4)+Al6+1l?) ',3 (-l./AS) ',4 (-000000003333) S,' (10/'7+10/A12+000000003333+10/1IJ) ',1 (118/1'7-'16) 6,2 (-l.Iv.) 604 (-1./12) 6.6 {1 0/11+1./12+10/113+1 0/&4) 6,7 (A18/Al) SlOP FUIC'lIOIS I «(V3-Vl)/CA6+lOOOOOOo»)i«(V3-V1)!(A6+lOOODOOo»)lA6) ( (Al8-V')&(AlS-Y5)/A'1) Sl'OP FAILURE TESTS (V6)U(-16., STOP I IS21 ITS ISS MEAlS 3300. 9100. 602 100 3SO. 10000. 33000 91000 33000. 33000. lOOOOo ~. 1000. 2'. 100 .0000005 0000001 250 2'0 oS ., -1846)485 9S60491 -18948~91 =04 ~3099568 -14 66142211 -m 11198094 99265952 c:{f! ~O!5 21104762 -ffI 2Ol27708 ..q; -61049262 c::()4 290~274 ~9 -en 8438.4964 -16 -2'16366W -11 98592984 ~ 98'23291 +00 94SYl997I +00 8S~1~16 +00 16953383 +00 97243294 +00 =11680098 -08 -16120276 c=()2 -3Cf131671 -03 -.41188452 -03 -400<)4622 -03 136670)0 ·-01 -71138584 ...Q4 30210886 -01 -104!S4S31 -12 6"1~' -06 -0, cO, ClD30136S33 -05 =31656186 2'3S6278 -02 -26203241 -31243333 7312)80' -10 -43224141 -0; -os 45458624 =03 -USSl914 -11 S404996S -13 4826,,al -4>9 =33122929 -12 863S106tl <=10 -41161129 -12 139.W.S2 -16 a82143818 -12' -0, -0, -24424649 -OS -25645439 -89174330 -04 -25029393 -2531'2" -05 -24982488 -11 22501134 -Q4 -23664007 -02 -251!mZ12 -90009022 -04 -2l242919 -OS 50210207 -03 =0, -25216560 -11 -4W42826 -0, -2464'268 -0, -2"397" -0, -0,-os 69498662 -c'1 72972590 -m 2'380703 72023186 -en 71105425 -13 -43266719 61933305 -m 4550216, -06 4456~~39 =C1 4"10172 =t11 43904352 -ffI 21763166 ..Q4 90537589 686'3807 -en -19044711 -16 -86087739 -10 -os 47041S09 -os 38892686 -08 37024643 -08 -UWtTI61 =04 -15013521 ...09 -12396186 =a7 -28852937 -16 14299800 czll -0, 63139966 -06 66295163 -c6 23052388 -04 64703244 -4l6 61173648 -03 6"'2240 -06 64~2038 -12 -58167513 -17610990 -03 -1849J221 -03 -1"1'142f111 -03 -238S8720 -03 -31822496 -04 -36117362 -03 -38016213 -13 302S8104 -a6 4l1W162 .()8 329S9393 -08 29780146 -08 -14980217 -04 -2Z1W999 -09 -12706731 -0'1' -33ll3081 -16 17713491 -ll 33178173 ..01 33154'120 -01 318l3602 -01 287n422 -01 ,.,050944 -02 32723980 -01 -3930546/. -10 -54247406 ..()4 684218,6 +01 69810822 +01 1140,814 +02 -1"1372468 =05 o,347031:~ +02 41743268 +04 -16408001 +04 1560114:2 +02 ~13018878 +01 =10153207 +01 -10228920 +01 41675120 +04 40946450 =01 344'43802+01 80291626 ....08 -3889726, .0) 34605053 -02 36334686 002 2172S431 001 4,186292 e02 49827199 +00 65758240 -02 52610802 -09 =4731864J -02 -98641546 +00 -98579950 +00 -95609738 +00 -98195906 +00 =17146213 +00 -97312904 +00 87.501860 c-..{)9 16303631 ....02 -11386434 =02 -11960596 .02 95806706 +00 =99004238 003 17176184 -11804754 ~02 27629228 ~07 =16332129 ~02 +00 =46930908 =03 33189554 -01 31835809 -01 14791321 ·01 57083150 -02 32143181 -01 93052571 ~09 -.54278082 =04 VARIANCE 500 0 35000' oOl So 10000 0 45000 500 0 . 3500 0 ,000000. ,00000 0 4.500 0 1000 0 450 ,0 0 10 0 000000000001 000000000004 003 003 00015 002 r.fULTI PARA PARTS PART CaRR 00 3 PART CORR 1D 10 NOP 2 COEFF 15 ID 11 NOP COEFF 4 001 4 5 00 4 20 001 4 21 0 0 5 20 001 5 21 0 0 20 21 PART ID 12 NOP 2 CORR COEFF 001 16 17 PART ID END VAR UF 01 49926392 11";)01 ST DV IS 22344214 +00 PERCENT OF VAR DUE ~O EAC PARA ~ EACH PART 148L1033 ....02 01 20"734736 ..u08 02 19469813 +02 03 25294937 <,:>02 04 18190993 .;..03 05 19086337 a,16 06 59144302 wo, 07 425199.32 =04 08 48371852 P.OO,5 09 19890154 -05 10 19945495 ....09 11 79850660 =006 12 27954381 =02 13 16997084 =11 14 220h8282 +02 15 68225965 -06 16 12350289 ....06 17 11956505 =03 18 584'14106 §o02 19 38952606 .... 05 20 88230284 =05 21 PERCENT OF VAR DUE 41518095 +02 10 27414778 -02 11 79995699 -06 12 VAR OF 02 49879389 ~Ol ST DV IS 22333694 +00 PERCENT OF VAR DUE TO EACH PARA 16.377106 -02 01 312,4162 -08 02 19460618 +02 03 28007956 -02 04 20090146 -03 05 26356165 -19 06 65927889 -05 07 46987669 ..oli 08 ,33787,0 ~05 09 20944121 -0, 10 13646688 -09 11 88115116 ...;06 12 30847101 -02 13 10889483 ...11 14 22037869 +02 15 71090986 4006 16 84336403 ~01 11 19404094 -03 18 58449024 +02 19 43020$24 ....05 20 44168399 -01 21 PERCENT OF VAR DUE TO EACH PART h1498488 +02 10 46907382 -01 11 79034909 .,.,06 12 VAR OF 03 11224404 +00 A-10 ST DV IS 33502841 '''00 PERCENT OF VAR DUE TO EACH PARA 67006390 -03 01 12632619 -08 02 7962,001 +01 03 11457740 .02 04 57280621 +02 05 93395148 -12 06 35423089 -02 07 25262529 -01 08 28695514 -02 09 85866123 .06 10 ,4958010 -10 11 4734439: -03 12 12621231 -02 13 39505155 cao12 14 90170073 +01 IS 18533282 ..04 16 33912242 -07 17 12615211 -01 18 24432111 +02 19 12266412 +01 20 18059197 ....01 21 PERCENT OF VAR DUE TO EACH PART 16979507 +02 10 58541600 +02 11 185830,0 ...04 12 VAR OF 04 A~Il, 21689055+OQ PERC ENTOFVAanUK '1'0 EACH PARA 289094h7 .02 01 2772985$..01:, 02 1551&5673+02 0) 31765597 +01 04 1459,828 -<>3-05 1~9~151 ..11 06 66$86990 -os '01 335711935 -oh 08 40169613 '~ 09 50342279 +00 10 21465499 .02_ 11 88996010 . ..;06.12 ,4453464 .Q2 13 23852200 -Ob 14 116041:$1 +02 IS 269,1428 +0016 134.31150+0117 1)021270 -02-18 61493142 ...02 19 312548,3 -0$20 ~0221 93092538 PERCENT OF -VAR DU!'fOEACH 33150124 -+02 10 31890034 +01 11 16247227+01 12 VAR OF 05 15131386..01 ST DV IS -~AR'1'; 12300910 +00 PERCEN'l' OF VAR DUE TO EACH PARA 1598862S -0) 01 19$28512 -11 02 18994761 +01 0) 261S60,31 -03 04 1.36$6954 +02 OS 2217$281 -12 06 18504096 +02 07 S83lb069 +01 08 68417446 -0) 09 2708626$ -06 10 67034S89 -12 11 2473147$ +01 12 30l163bS -03 13 17174S2S -13 14 21S10.323 +01 15 1294S618 16 +00 40310101 -09 11 49223833 +02 18 S8287911 +01 19 292~S9S6 +00 20 43069228 -02 21 PERCENT OF VAR DUE TO EACH PAR! hOSOS091 +01 10 1.39S1608 +02 11 129hS604 +00 12 VAR OF 06 SS91S037 -01 ST DV IS 23646.360 +00 PERCENT OF VAR DUE TO EACH PARA SS73S28S -02 01 61679381 -07 02 16911832 +02 0) 1.3OS83h9 +02 Oh 11457663 ..0) OS 1363S10b ...17 06 ;7306788 -OS 01 40829389 -Oh 08 4638$906 .0S 09 42149841 -OS 10 12366879 .08 U 765921;,7 -06 12 101£96226 001 13 l4438068 -10 14 19151S36 +02 1; 16928330 -oS 16 71188696 -06 11 2)20026S -02 18 S08081;8 +02 19 37383200 -0, 20 )6348046 -01 21 PERCENT OF VAR DUE TO EACH PAR'!' 36063368 +02 10 13110022 +02 11 24875819 -OS 12 VAR OF 07 S4741198 -16 Sf DV IS 73987295 -08 PERCENT OF VAR DUE TO EACH PARA 63014b15 -01 01 45528556 -10 02 24921754 -01 03 15912938 ~ ob 91619464 +02 05 15984571 -11 06 57006854 =02 07 40656072 =01 08 46180770 ..Q2 09 3.3128915 =09 10 6843$002 ....11 11 16191968 -0) 12 11880532 =06 13 1001$090 -12 14 28222245 -01 15 40114270 =04 16 42843641 «>08 17 1S168992 -01 18 41960$79 -01 19 20917721 +01 20 31635.3.32 ~l 21 PERCENT OF VAR DUE TO EACH PART 5.3144000 -01 10 998379h9 +02 11 40110263 -04 12 VAR OF 08 1368078.3 -05 S'l' DV IS 11696487 -02 PERCENT OF VAR DUE TO EACH PARA 1$988824 -03 01 19540216 -11 02 1899b767 +01 03 267561)0 -03 04 13656954 +02 oS 2219h837 -12 06 18504095 +02 07 58314069 +01 08 68417465 .03 09 2708$798 -06 10 61260718 -12 11 24731476 +01 12 30116342 -OJ 13 1146746) -13 14 21Sl0)26 +01 1S 12945696 +00 16 4023.3h57 -09 17 49223832 +02 18 58287971 +01 19 292b5956 +00 20 43069316 -02 21 PERCg",!, OF VAR DUE TO 40$0,$093 +01 10 13951608 +02 11 1294,681 +00 12 EA~H PART
Source Exif Data:
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